Functions and MatricesLaajuus (3 cr)
Code: 5N00EG73
Credits
3 op
Objectives
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Enrolment period
22.11.2023 - 31.03.2024
Timing
01.04.2024 - 18.05.2024
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 Mechanical Engineering
Teachers
- Pia Ruokonen-Kaukolinna
Person in charge
Pia Ruokonen-Kaukolinna
Groups
-
24AI112
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
02.12.2023 - 04.03.2024
Timing
15.03.2024 - 04.05.2024
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
-
24AI231
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
08.01.2024 - 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 Bioproduct Engineering
Teachers
- Ulla Miekkala
Person in charge
Ulla Miekkala
Groups
-
24BIOTA
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
09.11.2023 - 19.01.2024
Timing
08.01.2024 - 03.03.2024
Credits
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Unit
TAMK Mathematics and Physics
Campus
TAMK Main Campus
Teaching languages
- Finnish
Seats
0 - 80
Teachers
- Pia Ruokonen-Kaukolinna
Person in charge
Pia Ruokonen-Kaukolinna
Groups
-
AVOINAMK
-
24CAMPUSONLINECAMPUSONLINE
-
VAPAA
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
14.08.2023 - 29.10.2023
Timing
25.10.2023 - 13.12.2023
Credits
3 op
Mode of delivery
Contact teaching
Unit
Mathematics
Campus
TAMK Main Campus
Teaching languages
- Finnish
Seats
0 - 50
Degree programmes
- Degree Programme in Laboratory Engineering
Teachers
- Jukka Suominen
Person in charge
Jukka Suominen
Groups
-
23LATE
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
07.06.2023 - 29.10.2023
Timing
25.10.2023 - 13.12.2023
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
- Jukka Suominen
Person in charge
Jukka Suominen
Groups
-
23BIOTB
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
22.08.2023 - 12.10.2023
Timing
23.10.2023 - 15.12.2023
Credits
3 op
Mode of delivery
Contact teaching
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 the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
23.08.2023 - 12.10.2023
Timing
23.10.2023 - 15.12.2023
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, Electrical Systems
Teachers
- Pia Ruokonen-Kaukolinna
Person in charge
Pia Ruokonen-Kaukolinna
Groups
-
23I254
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
23.08.2023 - 12.10.2023
Timing
23.10.2023 - 15.12.2023
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
- Pia Ruokonen-Kaukolinna
Person in charge
Pia Ruokonen-Kaukolinna
Groups
-
23I253
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also 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 - 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 Construction Engineering
Teachers
- Kirsi-Maria Rinneheimo
Person in charge
Kirsi-Maria Rinneheimo
Groups
-
23RTB
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also 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 - 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 Construction Engineering
Teachers
- Kirsi-Maria Rinneheimo
Person in charge
Kirsi-Maria Rinneheimo
Groups
-
23RTC
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
22.08.2023 - 12.10.2023
Timing
23.10.2023 - 15.12.2023
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
- Pia Ruokonen-Kaukolinna
Person in charge
Pia Ruokonen-Kaukolinna
Groups
-
23RTD
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
02.07.2023 - 29.10.2023
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 Mechanical Engineering
Teachers
- Kirsi-Maria Rinneheimo
Person in charge
Kirsi-Maria Rinneheimo
Groups
-
23I112A
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
02.07.2023 - 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 Mechanical Engineering
Teachers
- Ulla Miekkala
Person in charge
Ulla Miekkala
Groups
-
23I112B
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
02.07.2023 - 29.10.2023
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 Mechanical Engineering
Teachers
- Kirsi-Maria Rinneheimo
Person in charge
Kirsi-Maria Rinneheimo
Groups
-
23I112C
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
02.07.2023 - 08.10.2023
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
-
23I231B
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
23.09.2023 - 27.10.2023
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 Vehicle Engineering
Teachers
- Sara Nortunen
Person in charge
Sara Nortunen
Groups
-
23AUTOA
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
23.09.2023 - 27.10.2023
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 Vehicle Engineering
Teachers
- Sara Nortunen
Person in charge
Sara Nortunen
Groups
-
23AUTOB
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
07.06.2023 - 31.08.2023
Timing
25.08.2023 - 16.12.2023
Credits
3 op
Mode of delivery
Contact teaching
Unit
Mathematics
Campus
TAMK Main Campus
Teaching languages
- Finnish
Seats
0 - 80
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 the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
01.06.2023 - 17.09.2023
Timing
17.08.2023 - 29.10.2023
Credits
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Campus
TAMK Main Campus
Teaching languages
- Finnish
Seats
0 - 80
Teachers
- Pia Ruokonen-Kaukolinna
Person in charge
Pia Ruokonen-Kaukolinna
Groups
-
AVOINAMK
-
23AI371
-
23YIRAKE
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also 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
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 the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
07.02.2023 - 19.02.2023
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 Building Services Engineering, HVAC Systems
Teachers
- Pia Ruokonen-Kaukolinna
Person in charge
Pia Ruokonen-Kaukolinna
Groups
-
23AI253
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
02.12.2022 - 19.02.2023
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 Mechanical Engineering
Teachers
- Pia Ruokonen-Kaukolinna
Person in charge
Pia Ruokonen-Kaukolinna
Groups
-
23AI112
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
01.01.2023 - 07.03.2023
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
- Ulla Miekkala
Person in charge
Ulla Miekkala
Groups
-
23BIOTA
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5
Enrolment period
02.11.2022 - 31.12.2022
Timing
16.01.2023 - 02.04.2023
Credits
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Campus
TAMK Main Campus
Teaching languages
- Finnish
Seats
0 - 50
Teachers
- Kirsi-Maria Rinneheimo
- Pia Ruokonen-Kaukolinna
- Ulla Miekkala
Person in charge
Ulla Miekkala
Groups
-
23CAMPUSONLINECAMPUSONLINE
-
AVOINAMK
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems
Content (course unit)
Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.
Prerequisites (course unit)
Orientation for engineering mathematics or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of 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 solve equations involving basic functions and knows how to perform calculations with matrices. 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 using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.
Assessment scale
0-5