Functions and Equations 2Laajuus (3 cr)
Code: TKV22MA03
Credits
3 op
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Qualifications
Functions and equations 1,
Geometry and vectors
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Enrollment
01.12.2024 - 12.01.2025
Timing
06.01.2025 - 23.02.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Teachers
- Ing-Britt Rögård
- Sofia Frilund
Teacher in charge
Sem Timmerbacka
Scheduling groups
- BYS24-S (Size: 30. Open UAS: 0.)
- BYS24-Y (Size: 30. Open UAS: 0.)
- BYL24 (Size: 30. Open UAS: 0.)
Groups
-
BYL24D-VIngenjör (YH), lantmäteriteknik, 2024 dagstudier
-
BYS24D-VIngenjör (YH), byggnads- och samhällsteknik, 2024 Vasa, dagstudier
Small groups
- BYS24-S
- BYS24-Y
- BYL24
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors
Enrollment
01.12.2024 - 12.01.2025
Timing
06.01.2025 - 23.02.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Teachers
- Ing-Britt Rögård
- Sofia Frilund
Teacher in charge
Kaj Rintanen
Scheduling groups
- MAP24-Y (Size: 40. Open UAS: 0.)
- MAP24-S (Size: 40. Open UAS: 0.)
Groups
-
MAP24D-VIngenjör (YH), maskin- och produktionsteknik, 2024 dagstudier
Small groups
- MAP24-Y
- MAP24-S
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors
Enrollment
01.12.2024 - 12.01.2025
Timing
06.01.2025 - 21.02.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Degree programmes
- Degree Programme in Industrial Management
Teachers
- Ing-Britt Rögård
- Lina Åberg
Teacher in charge
Niklas Kallenberg
Scheduling groups
- PRE24-S (Size: 40. Open UAS: 0.)
- PRE24-Y (Size: 40. Open UAS: 0.)
Groups
-
PRE24D-VIngenjör (YH), produktionsekonomi, 2024 dagstudier
Small groups
- PRE24-S
- PRE24-Y
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors
Enrollment
01.12.2024 - 05.01.2025
Timing
06.01.2025 - 10.03.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Teachers
- Lina Åberg
- Sofia Frilund
Teacher in charge
Ronnie Sundsten
Scheduling groups
- ELA24-Y (Size: 40. Open UAS: 0.)
- ELA24-S (Size: 40. Open UAS: 0.)
- UIT24 (Size: 40. Open UAS: 0.)
Groups
-
ELA24D-VIngenjör (YH), el- och automationsteknik, 2024, dagstudier
-
UIT24D-VIngenjör (YH), informationsteknik, 2024
Small groups
- ELA24-Y
- ELA24-S
- UIT24
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors
Enrollment
15.06.2024 - 29.08.2024
Timing
20.08.2024 - 08.09.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Teaching languages
- Svenska
Degree programmes
- Degree Programme in Electrical Engineering and Automation
Teachers
- Ing-Britt Rögård
Teacher in charge
Matts Nickull
Groups
-
ÖH23FLEXINGÖppna YH, Flexibelt till Ingenjör
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors
Enrollment
02.12.2023 - 07.01.2024
Timing
01.01.2024 - 23.02.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Degree programmes
- Degree Programme in Industrial Management
Teachers
- Ing-Britt Rögård
Teacher in charge
Ing-Britt Rögård
Groups
-
PRE23D-VIngenjör (YH), produktionsekonomi, 2023 dagstudier
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors
Enrollment
30.11.2023 - 07.01.2024
Timing
01.01.2024 - 25.02.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Teachers
- Lina Åberg
- Sofia Frilund
Teacher in charge
Ronnie Sundsten
Scheduling groups
- ELA23-S (Size: 40. Open UAS: 0.)
- ELA23-Y (Size: 40. Open UAS: 0.)
Groups
-
ELA23D-VIngenjör (YH), el- och automationsteknik, 2023, dagstudier
Small groups
- ELA23-S
- ELA23-Y
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors
Enrollment
30.11.2023 - 07.01.2024
Timing
01.01.2024 - 25.02.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Teachers
- Lina Åberg
Teacher in charge
Kaj Wikman
Groups
-
UIT23D-VIngenjör (YH), informationsteknik
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors
Enrollment
30.11.2023 - 07.01.2024
Timing
01.01.2024 - 25.02.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Teachers
- Ing-Britt Rögård
Teacher in charge
Leif Östman
Scheduling groups
- BYS23-S (Size: 40. Open UAS: 0.)
- BYS23-Y (Size: 40. Open UAS: 0.)
- BYL23-S (Size: 40. Open UAS: 0.)
- BYL23-Y (Size: 40. Open UAS: 0.)
Groups
-
BYL23D-VIngenjör (YH), lantmäteriteknik, 2023 dagstudier
-
BYS23D-VIngenjör (YH), byggnads- och samhällsteknik, 2023 Vasa, dagstudier
Small groups
- BYS23-S
- BYS23-Y
- BYL23-S
- BYL23-Y
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors
Enrollment
30.11.2023 - 07.01.2024
Timing
01.01.2024 - 25.02.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Teachers
- Ing-Britt Rögård
- Sofia Frilund
Teacher in charge
Kaj Rintanen
Scheduling groups
- MAP23-S (Size: 40. Open UAS: 0.)
- MAP23-Y (Size: 40. Open UAS: 0.)
Groups
-
MAP23D-VIngenjör (YH), maskin- och produktionsteknik, 2023 dagstudier
Small groups
- MAP23-S
- MAP23-Y
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors
Enrollment
15.06.2023 - 27.08.2023
Timing
23.08.2023 - 13.10.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Teaching languages
- Svenska
Teachers
- Ing-Britt Rögård
Teacher in charge
Matts Nickull
Groups
-
ÖH22FLEXINGÖppna YH, Flexibelt till Ingenjör
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors
Enrollment
01.12.2022 - 09.01.2023
Timing
02.01.2023 - 24.02.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Degree programmes
- Degree Programme in Civil and Construction Engineering
- Degree Programme in Land Surveying
Teachers
- Ing-Britt Rögård
Scheduling groups
- BYS22-S (Size: 30. Open UAS: 0.)
- BYS22-Y (Size: 50. Open UAS: 0.)
- BYL22-S (Size: 30. Open UAS: 0.)
- BYL22-Y (Size: 30. Open UAS: 0.)
Groups
-
BYS22D-VIngenjör (YH), byggnads- och samhällsteknik, 2022 Vasa, dagstudier
-
BYL22D-VIngenjör (YH), lantmäteriteknik, 2022 dagstudier
Small groups
- BYS22-S
- BYS22-Y
- BYL22-S
- BYL22-Y
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors
Enrollment
01.12.2022 - 31.12.2022
Timing
01.01.2023 - 26.02.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Degree programmes
- Degree Programme in Electrical Engineering and Automation
Teachers
- Sofia Frilund
Scheduling groups
- Group A (Size: 30. Open UAS: 0.)
- Group B (Size: 30. Open UAS: 0.)
- Group C (Size: 30. Open UAS: 0.)
Groups
-
ÖH22ELA-LED-VÖppna YH, el-och automationsteknik ledstudier
-
ELA22D-VIngenjör (YH), el- och automationsteknik, 2022, dagstudier
Small groups
- Group A
- Group B
- Group C
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors
Enrollment
01.12.2022 - 09.01.2023
Timing
01.01.2023 - 04.03.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Teaching languages
- Svenska
Degree programmes
- Degree Programme in Mechanical and Production Engineering
Teachers
- Ing-Britt Rögård
- Sofia Frilund
Teacher in charge
Kaj Rintanen
Scheduling groups
- MAP22-S (Group A) (Size: 30. Open UAS: 0.)
- MAP22-Y (Group B) (Size: 30. Open UAS: 0.)
Groups
-
MAP22D-VIngenjör (YH), maskin- och produktionsteknik, 2022 dagstudier
Small groups
- MAP22-S (Group A)
- MAP22-Y (Group B)
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors
Enrollment
01.12.2022 - 09.01.2023
Timing
01.01.2023 - 04.03.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Degree programmes
- Degree Programme in Industrial Management
Teachers
- Ing-Britt Rögård
Teacher in charge
Roger Nylund
Groups
-
PRE22D-VIngenjör (YH), produktionsekonomi, 2022 dagstudier
Objective
The student :
- is familiar with the concept of functions
- is able to solve equations algebraically, graphically and numerically ( Equations with roots and absolute values, equations with complex solutions,
exponential equations , equations with logarithms ,trigonometric equations )
- Is able to apply a variety of mathematical models in problem solving.
Content
The concept of functions, graphs, inequalities
Equations with roots
Equations containing absolute values
Equations with complex solutions
Complex numbers ; rectangular form, polar form and power form
Power functions, power equations
Exponential functions and equations
Logarithms, equations with logarithms
Problems with exponential change
Trigonometric functions, graphs
Trigonometric equations
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Is able to extract information from graphs and understand basic properties about different types of functions
Is able to solve simple exponential equations
Is able to solve simple trigonometric equations
Knows complex numbers and can perform simple calculations with them
Have some understanding of how to use a mathematical model and how it can be solved.
Master basic use of a calculation software.
Assessment criteria, good (3)
Is able to draw graphs for different types of functions and can define the domain and the range for the functions.
Master the solution of ordinary exponential and logarithm equations
Is able to rewrite trigonometric expressions and can solve common trigonometric equations
Master the transformation of complex numbers between different forms
Have a good understanding of how to use a mathematical model and how it can be solved.
Master the use of calculation software.
Assessment criteria, excellent (5)
Master the basic properties of functions and can solve inequalities
Master the solution of more demanding equations and problems containing exponential functions and logarithms
Master the solution of more demanding trigonometric equations.
Can apply complex numbers to solve more complicated problems
Can design and solve more complicated models.
Master advanced use of calculation software.
Qualifications
Functions and equations 1,
Geometry and vectors