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Differential CalculusLaajuus (3 cr)

Code: 5N00EG74

Credits

3 op

Objectives

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Enrolment period

03.08.2024 - 02.09.2024

Timing

02.09.2024 - 20.10.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Bioproduct Engineering
Teachers
  • Kirsi-Maria Rinneheimo
Person in charge

Jukka Suominen

Groups
  • 24BIOTA

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.06.2024 - 31.08.2024

Timing

24.08.2024 - 14.12.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

0 - 40

Degree programmes
  • Degree Programme in Electrical Engineering
Teachers
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 24AI231

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

07.06.2024 - 30.08.2024

Timing

01.08.2024 - 27.10.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Mechanical Engineering
Teachers
  • Nikolai Marjoma
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 24AI112

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

22.11.2023 - 13.01.2024

Timing

15.01.2024 - 20.02.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Laboratory Engineering
Teachers
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 23LATE

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

22.11.2023 - 13.01.2024

Timing

15.01.2024 - 20.02.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

Built Environment and Bioeconomy

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Bioproduct Engineering
Teachers
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 23BIOTB

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2023 - 11.01.2024

Timing

08.01.2024 - 24.02.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Mechanical Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 23I112B

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2023 - 11.01.2024

Timing

08.01.2024 - 03.03.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

0 - 40

Degree programmes
  • Degree Programme in Electrical Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 23I231B

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2023 - 12.01.2024

Timing

01.01.2024 - 03.03.2024

Credits

3 op

Mode of delivery

Contact teaching

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Vehicle Engineering
Teachers
  • Sara Nortunen
Person in charge

Sara Nortunen

Groups
  • 23AUTOB

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2023 - 11.01.2024

Timing

01.01.2024 - 03.03.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Mechanical Engineering
Teachers
  • Kirsi-Maria Rinneheimo
Person in charge

Kirsi-Maria Rinneheimo

Groups
  • 23I112A

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2023 - 11.01.2024

Timing

01.01.2024 - 03.03.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Mechanical Engineering
Teachers
  • Kirsi-Maria Rinneheimo
Person in charge

Kirsi-Maria Rinneheimo

Groups
  • 23I112C

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

22.11.2023 - 05.01.2024

Timing

01.01.2024 - 31.07.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Laboratory Engineering
Teachers
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 23LATELAB

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.12.2023 - 04.01.2024

Timing

01.01.2024 - 03.03.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Construction Engineering
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 23RTA

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.12.2023 - 04.01.2024

Timing

01.01.2024 - 04.03.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Building Services Engineering, HVAC Systems
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 23I253

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.12.2023 - 04.01.2024

Timing

01.01.2024 - 04.03.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Building Services Engineering, Electrical Systems
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 23I254

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.12.2023 - 22.01.2024

Timing

01.01.2024 - 03.03.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Construction Engineering
Teachers
  • Kirsi-Maria Rinneheimo
Person in charge

Kirsi-Maria Rinneheimo

Groups
  • 23RTB

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.12.2023 - 22.01.2024

Timing

01.01.2024 - 03.03.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Construction Engineering
Teachers
  • Kirsi-Maria Rinneheimo
Person in charge

Kirsi-Maria Rinneheimo

Groups
  • 23RTC

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.12.2023 - 04.01.2024

Timing

01.01.2024 - 03.03.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Construction Engineering
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 23RTD

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2023 - 12.01.2024

Timing

01.01.2024 - 25.02.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Vehicle Engineering
Teachers
  • Sara Nortunen
Person in charge

Sara Nortunen

Groups
  • 23AUTOA

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.07.2023 - 29.10.2023

Timing

23.10.2023 - 16.12.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Construction Engineering
Teachers
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 23AI371

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.07.2023 - 31.08.2023

Timing

28.08.2023 - 15.10.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

Electrical and Automation Engineering

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

0 - 40

Degree programmes
  • Degree Programme in Electrical Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 23I231A

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

07.06.2023 - 04.09.2023

Timing

28.08.2023 - 15.10.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Bioproduct Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 23BIOTA

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.08.2023 - 28.08.2023

Timing

24.08.2023 - 14.10.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Building Services Engineering, HVAC Systems
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 23AI253
  • 23YIRAKE

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.07.2023 - 18.08.2023

Timing

24.08.2023 - 14.10.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Mechanical Engineering
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 23AI112

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2022 - 13.01.2023

Timing

13.01.2023 - 10.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

Electrical and Automation Engineering

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

0 - 40

Degree programmes
  • Degree Programme in Electrical Engineering
Teachers
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 22AI231

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2022 - 03.01.2023

Timing

09.01.2023 - 24.02.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Construction Engineering
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 22RTA

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2022 - 10.01.2023

Timing

09.01.2023 - 05.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

Electrical and Automation Engineering

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

0 - 40

Degree programmes
  • Degree Programme in Electrical Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 22I231B

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2022 - 11.01.2023

Timing

09.01.2023 - 05.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Mechanical Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 22I112A

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2022 - 11.01.2023

Timing

09.01.2023 - 05.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Mechanical Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 22I112B

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2022 - 11.01.2023

Timing

09.01.2023 - 05.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Mechanical Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 22I112C

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2022 - 15.02.2023

Timing

01.01.2023 - 06.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Construction Engineering
Teachers
  • Kirsi-Maria Rinneheimo
Person in charge

Kirsi-Maria Rinneheimo

Groups
  • 22RTB

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2022 - 15.02.2023

Timing

01.01.2023 - 06.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Construction Engineering
Teachers
  • Kirsi-Maria Rinneheimo
Person in charge

Kirsi-Maria Rinneheimo

Groups
  • 22RTC

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

23.11.2022 - 12.01.2023

Timing

01.01.2023 - 05.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

Mathematics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Laboratory Engineering
Teachers
  • Sara Nortunen
Person in charge

Sara Nortunen

Groups
  • 22LATE
  • 22BIOTB

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.12.2022 - 03.01.2023

Timing

01.01.2023 - 05.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Building Services Engineering, Electrical Systems
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 22I254

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

23.11.2022 - 12.01.2023

Timing

01.01.2023 - 05.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Bioproduct Engineering
Teachers
  • Sara Nortunen
Person in charge

Sara Nortunen

Groups
  • 22BIOTB

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.12.2022 - 03.01.2023

Timing

01.01.2023 - 07.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Building Services Engineering, HVAC Systems
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 22I253

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.12.2022 - 03.01.2023

Timing

01.01.2023 - 05.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Construction Engineering
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 22RTD

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2022 - 31.12.2022

Timing

01.01.2023 - 05.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Vehicle Engineering
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 22AUTOA

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2022 - 31.12.2022

Timing

01.01.2023 - 05.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Vehicle Engineering
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 22AUTOB

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.07.2022 - 26.08.2022

Timing

29.08.2022 - 23.10.2022

Credits

3 op

Mode of delivery

Contact teaching

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

0 - 40

Degree programmes
  • Degree Programme in Electrical Engineering
Teachers
  • Lasse Enäsuo
Person in charge

Lasse Enäsuo

Groups
  • 22I231A

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

18.07.2022 - 26.08.2022

Timing

29.08.2022 - 23.10.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Mechanical Engineering
Teachers
  • Lasse Enäsuo
Person in charge

Lasse Enäsuo

Groups
  • 22AI112P

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

30.07.2022 - 05.09.2022

Timing

22.08.2022 - 23.10.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Bioproduct Engineering
Teachers
  • Sara Nortunen
Person in charge

Sara Nortunen

Groups
  • 22BIOTA
  • 21KONEvayla

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

27.12.2021 - 27.03.2022

Timing

04.04.2022 - 29.05.2022

Credits

3 op

Virtual portion

3 op

Mode of delivery

Online learning

Teaching languages
  • Finnish
Seats

0 - 100

Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • VAPAA

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2021 - 11.01.2022

Timing

10.01.2022 - 27.02.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Bioproduct Engineering
Teachers
  • Sara Nortunen
Person in charge

Sara Nortunen

Groups
  • 21BIOTB

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2021 - 07.01.2022

Timing

10.01.2022 - 06.03.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

Construction Engineering

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Construction Engineering
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 21RTA

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

25.11.2021 - 09.01.2022

Timing

10.01.2022 - 27.02.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Laboratory Engineering
Teachers
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 21LATE

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.12.2021 - 17.01.2022

Timing

10.01.2022 - 27.02.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

Construction Engineering

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Construction Engineering
Teachers
  • Anja Kuronen
Person in charge

Anja Kuronen

Groups
  • 21RTC

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.12.2021 - 07.01.2022

Timing

10.01.2022 - 07.03.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

Construction Engineering

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Construction Engineering
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 21RTD

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2021 - 11.01.2022

Timing

10.01.2022 - 06.03.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Mechanical Engineering
Teachers
  • Kirsi-Maria Rinneheimo
Person in charge

Kirsi-Maria Rinneheimo

Groups
  • 21I112A

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2021 - 11.01.2022

Timing

10.01.2022 - 27.02.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Mechanical Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 21I112B

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2021 - 11.01.2022

Timing

10.01.2022 - 26.02.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Mechanical Engineering
Teachers
  • Sara Nortunen
Person in charge

Sara Nortunen

Groups
  • 21I112C

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.12.2021 - 17.01.2022

Timing

10.01.2022 - 06.03.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

Building Services Engineering

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

1 - 45

Degree programmes
  • Degree Programme in Building Services Engineering, HVAC Systems
Teachers
  • Kirsi-Maria Rinneheimo
Person in charge

Kirsi-Maria Rinneheimo

Groups
  • 21I253

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2021 - 11.01.2022

Timing

10.01.2022 - 26.02.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

Open University of Applied Sciences

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Open University of Applied Sciences
Teachers
  • Anja Kuronen
Person in charge

Anja Kuronen

Groups
  • 21AVOTT
    Teollisuusteknologiayksikön avoimen polkuryhmä

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2021 - 11.01.2022

Timing

10.01.2022 - 26.02.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Vehicle Engineering
Teachers
  • Sara Nortunen
Person in charge

Sara Nortunen

Groups
  • 21AUTOB

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

12.11.2021 - 05.01.2022

Timing

05.01.2022 - 27.02.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Laboratory Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 21LATEMM

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

15.11.2021 - 03.01.2022

Timing

03.01.2022 - 06.03.2022

Credits

3 op

Mode of delivery

Contact teaching

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in ICT Engineering
Teachers
  • Lasse Enäsuo
Person in charge

Lasse Enäsuo

Groups
  • 21TIETOA

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

15.11.2021 - 09.01.2022

Timing

03.01.2022 - 06.03.2022

Credits

3 op

Mode of delivery

Contact teaching

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in ICT Engineering
Teachers
  • Lasse Enäsuo
Person in charge

Lasse Enäsuo

Groups
  • 21TIETOB

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2021 - 10.01.2022

Timing

01.01.2022 - 06.03.2022

Credits

3 op

Mode of delivery

Contact teaching

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

0 - 48

Degree programmes
  • Degree Programme in Electrical Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 21I231B

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2021 - 15.02.2022

Timing

01.01.2022 - 06.03.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

Construction Engineering

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Construction Engineering
Teachers
  • Kirsi-Maria Rinneheimo
Person in charge

Kirsi-Maria Rinneheimo

Groups
  • 21RTB

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.12.2021 - 06.01.2022

Timing

01.01.2022 - 27.02.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

Building Services Engineering

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

1 - 45

Degree programmes
  • Degree Programme in Building Services Engineering, Electrical Systems
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 21I254

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2021 - 06.01.2022

Timing

01.01.2022 - 06.03.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Vehicle Engineering
Teachers
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 21AUTOA

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Assessment scale

0-5