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Integral CalculusLaajuus (3 cr)

Code: 5N00EG75

Credits

3 op

Objectives

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

Assessment criteria, satisfactory (1-2)

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

01.06.2024 - 27.10.2024

Timing

31.10.2024 - 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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

03.08.2024 - 31.10.2024

Timing

21.10.2024 - 20.12.2024

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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 - 24.08.2024

Timing

23.08.2024 - 14.12.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

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

Jukka Suominen

Groups
  • 23LATELAB

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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 - 31.12.2024

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
  • Pia Ruokonen-Kaukolinna
Person in charge

Pia Ruokonen-Kaukolinna

Groups
  • 24AI112

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

03.02.2024 - 13.03.2024

Timing

04.03.2024 - 03.05.2024

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

05.02.2024 - 25.03.2024

Timing

04.03.2024 - 30.04.2024

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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 - 06.03.2024

Timing

04.03.2024 - 30.04.2024

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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 - 06.03.2024

Timing

04.03.2024 - 30.04.2024

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
  • 23I112C

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

17.01.2024 - 08.03.2024

Timing

04.03.2024 - 03.05.2024

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
  • Sara Nortunen
Person in charge

Sara Nortunen

Groups
  • 23LATE

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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 - 06.03.2024

Timing

04.03.2024 - 30.04.2024

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

01.01.2024 - 22.02.2024

Timing

04.03.2024 - 30.04.2024

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

05.02.2024 - 13.03.2024

Timing

04.03.2024 - 03.05.2024

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
  • Sara Nortunen
Person in charge

Sara Nortunen

Groups
  • 23I253

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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 - 22.02.2024

Timing

04.03.2024 - 30.04.2024

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

05.02.2024 - 25.03.2024

Timing

04.03.2024 - 30.04.2024

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

05.02.2024 - 25.03.2024

Timing

04.03.2024 - 30.04.2024

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

01.01.2024 - 22.02.2024

Timing

04.03.2024 - 30.04.2024

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

17.01.2024 - 13.03.2024

Timing

04.03.2024 - 30.04.2024

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
  • Sara Nortunen
Person in charge

Sara Nortunen

Groups
  • 23BIOTB

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

03.02.2024 - 13.03.2024

Timing

04.03.2024 - 03.05.2024

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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 - 21.01.2024

Timing

08.01.2024 - 23.05.2024

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
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 23AI371

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

16.08.2023 - 22.10.2023

Timing

23.10.2023 - 17.12.2023

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

01.10.2023 - 31.10.2023

Timing

23.10.2023 - 31.12.2023

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

Kirsi-Maria Rinneheimo

Groups
  • 23AI253

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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 - 18.09.2023

Timing

23.10.2023 - 17.12.2023

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 Mechanical Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 23AI112

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

Teaching methods

.

Enrolment period

07.06.2023 - 30.08.2023

Timing

23.10.2023 - 17.12.2023

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 Bioproduct Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 23BIOTA

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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 - 19.03.2023

Timing

20.03.2023 - 26.05.2023

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

01.01.2023 - 24.02.2023

Timing

06.03.2023 - 30.04.2023

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
  • 22RTB
  • 22RTC
  • 22RTD

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

04.02.2023 - 20.04.2023

Timing

06.03.2023 - 30.04.2023

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
  • 22RTA
  • 22RTB
  • 22RTC
  • 22RTD

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

04.02.2023 - 20.04.2023

Timing

06.03.2023 - 30.04.2023

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
  • 22RTA
  • 22RTB
  • 22RTC
  • 22RTD

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

04.02.2023 - 05.03.2023

Timing

06.03.2023 - 28.04.2023

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
  • 22I231B

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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 - 06.03.2023

Timing

06.03.2023 - 28.04.2023

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

15.01.2023 - 05.03.2023

Timing

06.03.2023 - 30.04.2023

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
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 22BIOTB

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

01.01.2023 - 25.02.2023

Timing

06.03.2023 - 30.04.2023

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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 - 25.02.2023

Timing

06.03.2023 - 30.04.2023

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

15.01.2023 - 05.03.2023

Timing

06.03.2023 - 31.07.2023

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
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 22LATE
  • 22BIOTB

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

04.02.2023 - 12.03.2023

Timing

06.03.2023 - 31.05.2023

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
  • Miika Huikkola
Person in charge

Miika Huikkola

Groups
  • 22AUTOA

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

04.02.2023 - 12.03.2023

Timing

06.03.2023 - 31.07.2023

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
  • Miika Huikkola
Person in charge

Miika Huikkola

Groups
  • 22AUTOB

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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 - 25.02.2023

Timing

05.03.2023 - 30.04.2023

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
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

01.01.2023 - 30.04.2023

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
  • Kirsi-Maria Rinneheimo
Person in charge

Kirsi-Maria Rinneheimo

Groups
  • 22I112A

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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

01.01.2023 - 30.04.2023

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
  • Kirsi-Maria Rinneheimo
Person in charge

Kirsi-Maria Rinneheimo

Groups
  • 22I112C

Objectives (course unit)

Student is able to
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
- solve basic differential equations and use differential equations for modeling physical phenomena

Content (course unit)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Prerequisites (course unit)

Orientation for Engineering Mathematics, Functions and Matrices and Differential Calculus or similar skills

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

Student understands the basic concepts of integration and is able to solve simple applications that are similar to the model problems solved during the course. Student is also familiar to solution methods of simple differential equations. 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 understands how to apply definite integrals to solve technical problems. 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