Engineering MathematicsLaajuus (6 cr)
Code: 5N00GL29
Credits
6 op
Objectives
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Enrolment period
07.11.2024 - 05.01.2025
Timing
16.01.2025 - 31.05.2025
Credits
6 op
Virtual portion
6 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
-
24CAMPUSONLINECAMPUSONLINE
-
VAPAA
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
22.11.2024 - 06.01.2025
Timing
07.01.2025 - 30.04.2025
Credits
6 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
-
24LATE
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
02.12.2024 - 05.01.2025
Timing
07.01.2025 - 30.04.2025
Credits
6 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
-
24I231A
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
02.12.2024 - 05.01.2025
Timing
07.01.2025 - 30.04.2025
Credits
6 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
-
24I231B
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
18.11.2024 - 06.01.2025
Timing
07.01.2025 - 30.04.2025
Credits
6 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
-
24BIOTB
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
18.11.2024 - 05.01.2025
Timing
06.01.2025 - 30.04.2025
Credits
6 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
-
24I112A
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
18.11.2024 - 05.01.2025
Timing
06.01.2025 - 30.04.2025
Credits
6 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
-
24I112B
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
01.12.2024 - 05.01.2025
Timing
06.01.2025 - 30.04.2025
Credits
6 op
Mode of delivery
Contact teaching
Unit
Construction Engineering
Campus
TAMK Main Campus
Teaching languages
- Finnish
Degree programmes
- Degree Programme in Construction Engineering
Teachers
- Kirsi-Maria Rinneheimo
Person in charge
Kirsi-Maria Rinneheimo
Groups
-
24RTB
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
01.12.2024 - 05.01.2025
Timing
06.01.2025 - 30.04.2025
Credits
6 op
Mode of delivery
Contact teaching
Unit
Construction Engineering
Campus
TAMK Main Campus
Teaching languages
- Finnish
Degree programmes
- Degree Programme in Construction Engineering
Teachers
- Sini Ahlberg
Person in charge
Petri Murtomaa
Groups
-
24RTC
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
01.12.2024 - 05.01.2025
Timing
06.01.2025 - 30.04.2025
Credits
6 op
Mode of delivery
Contact teaching
Unit
Construction Engineering
Campus
TAMK Main Campus
Teaching languages
- Finnish
Degree programmes
- Degree Programme in Construction Engineering
Teachers
- Sini Ahlberg
Person in charge
Petri Murtomaa
Groups
-
24RTD
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
02.12.2024 - 05.01.2025
Timing
06.01.2025 - 30.04.2025
Credits
6 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
-
24I253
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
01.12.2024 - 03.01.2025
Timing
01.01.2025 - 30.04.2025
Credits
6 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
-
24RTA
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
15.11.2024 - 05.01.2025
Timing
01.01.2025 - 30.04.2025
Credits
6 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
- Nikolai Marjoma
Groups
-
24AUTOA
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
15.11.2024 - 31.12.2024
Timing
01.01.2025 - 30.04.2025
Credits
5 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
- Nikolai Marjoma
Groups
-
24AUTOB
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
18.11.2024 - 02.01.2025
Timing
01.01.2025 - 30.04.2025
Credits
6 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
-
24I112C
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5
Enrolment period
02.12.2024 - 02.01.2025
Timing
01.01.2025 - 30.04.2025
Credits
6 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
-
24I254
Objectives (course unit)
In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus
At the end of the course, you
• recognize exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• you know the basic calculations of matrices and know some applications
• can use the concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• know how to solve application tasks, the modeling of which requires the use of a derivative or an integral
• are able to present and justify logically chosen solutions
• you know how to evaluate the reasonableness and correctness of the solutions you make
Content (course unit)
• exponential and logarithmic function
• exponential equation, logarithmic equation
• basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix)
• solving a group of linear equations with matrices
• some matrix applications
• the concept of limit value in brief
• derivative of the graph
• derivative numerically
• calculating the derivative using the rules of derivation
• higher derivatives (used at the entry level)
• some applications of the derivative (e.g. differential and total differential, error estimation and extreme values)
• the definite integral graphically
• definite integral numerically
• calculating the integral function using integration rules
• basic theorem of analysis, definite integral symbolically
• some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)
Assessment criteria, satisfactory (1-2) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve simple exponential and logarithmic equations
• knows basic calculations of matrices
• knows how to use some concepts and notations related to derivatives and integrals
• knows the principle of the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically, similar to the simple examples used in class
• the presentations and justifications of the chosen solutions may be incomplete
• there may be shortcomings in evaluating the reasonableness and correctness of the solutions made
Assessment criteria, good (3-4) (course unit)
Student
• recognizes exponential and logarithmic functions
• can solve exponential and logarithmic equations and apply them in engineering problems
• knows the basic calculations of matrices and knows some applications
• knows how to use concepts and notations related to limit value, derivative and integral
• can interpret the derivative as a rate of change
• can determine the derivative and integral graphically, numerically and symbolically
• can solve application tasks, the modeling of which requires the use of a derivative or an integral
• is able to present and justify logically chosen solutions
• knows how to evaluate the reasonableness and correctness of the decisions he makes
Assessment criteria, excellent (5) (course unit)
n addition to the previous, the student has a comprehensive understanding of the subjects of the course and knows how to apply them to more demanding problems. The student has the ability to present and justify logically chosen solutions. Solutions are presented clearly and mathematical concepts are used precisely. The student is highly motivated and takes full responsibility for their own and the group's performance.
Assessment scale
0-5