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Functions and Equations 1Laajuus (3 cr)

Code: TKV22MA01

Credits

3 op

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Qualifications

None

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Materials

see current course implementation document

Enrollment

01.12.2024 - 05.01.2025

Timing

06.01.2025 - 09.03.2025

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
Teachers
  • Sofia Frilund
Teacher in charge

Kenneth Julin

Groups
  • ÖH24BYS-ARB-S-V
    Arbetsledning i renoveringsbyggande

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Materials

see current course implementation document

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

None

Enrollment

15.06.2024 - 22.09.2024

Timing

02.09.2024 - 10.11.2024

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

Niklas Kallenberg

Scheduling groups
  • PRE24-Y (Size: 40. Open UAS: 0.)
  • PRE24-S (Size: 40. Open UAS: 0.)
Groups
  • PRE24D-V
    Ingenjör (YH), produktionsekonomi, 2024 dagstudier
Small groups
  • PRE24-Y
  • PRE24-S

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

None

Enrollment

15.06.2024 - 22.09.2024

Timing

02.09.2024 - 10.11.2024

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 Mechanical and Production Engineering
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-V
    Ingenjör (YH), maskin- och produktionsteknik, 2024 dagstudier
Small groups
  • MAP24-Y
  • MAP24-S

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

None

Enrollment

15.06.2024 - 22.09.2024

Timing

02.09.2024 - 03.11.2024

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 Land Surveying
Teachers
  • Ing-Britt Rögård
Teacher in charge

Sem Timmerbacka

Groups
  • BYB24D-V
    Byggmästare (YH), h24, dagstudier, Vasa
  • BYL24D-V
    Ingenjör (YH), lantmäteriteknik, 2024 dagstudier

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

None

Enrollment

15.06.2024 - 22.09.2024

Timing

02.09.2024 - 13.10.2024

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
  • Sofia Frilund
  • Kennet Tallgren
Teacher in charge

Ronnie Sundsten

Scheduling groups
  • ELA24-Y (Size: 50. Open UAS: 0.)
  • ELA24-S (Size: 50. Open UAS: 0.)
Groups
  • ELA24D-V
    Ingenjör (YH), el- och automationsteknik, 2024, dagstudier
Small groups
  • ELA24-Y
  • ELA24-S

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

None

Enrollment

15.06.2024 - 22.09.2024

Timing

02.09.2024 - 13.10.2024

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
  • Sofia Frilund
Teacher in charge

Kaj Wikman

Groups
  • UIT24D-V
    Ingenjör (YH), informationsteknik, 2024

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

None

Enrollment

15.06.2024 - 22.09.2024

Timing

02.09.2024 - 03.11.2024

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
  • Kennet Tallgren
Teacher in charge

Leif Östman

Groups
  • BYS24D-V
    Ingenjör (YH), byggnads- och samhällsteknik, 2024 Vasa, dagstudier

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

None

Enrollment

15.06.2024 - 27.10.2024

Timing

30.08.2024 - 06.11.2024

Number of ECTS credits allocated

3 op

Mode of delivery

Contact teaching

Unit

Faculty of Technology and Seafaring

Teaching languages
  • Svenska
Teachers
  • Sofia Frilund
Teacher in charge

Matts Nickull

Groups
  • ÖH24FLEXING
    Öppna YH, Flexibelt till Ingenjör

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

None

Enrollment

15.06.2023 - 03.12.2023

Timing

28.11.2023 - 12.12.2023

Number of ECTS credits allocated

3 op

Mode of delivery

Contact teaching

Unit

Faculty of Technology and Seafaring

Teaching languages
  • Svenska
Teachers
  • Sofia Frilund
Teacher in charge

Matts Nickull

Groups
  • ÖH23FLEXING
    Öppna YH, Flexibelt till Ingenjör

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

None

Enrollment

15.06.2023 - 03.09.2023

Timing

28.08.2023 - 05.11.2023

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
  • Sofia Frilund
Teacher in charge

Roger Nylund

Scheduling groups
  • MAP23-S (Size: 30. Open UAS: 0.)
  • MAP23-Y (Size: 30. Open UAS: 0.)
Groups
  • MAP23D-V
    Ingenjör (YH), maskin- och produktionsteknik, 2023 dagstudier
  • ÖH23MAP-LED-V
    Öppna YH, maskin- och produktionsteknik ledstudier
Small groups
  • MAP23-S
  • MAP23-Y

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

None

Enrollment

15.06.2023 - 03.09.2023

Timing

28.08.2023 - 08.10.2023

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
Teachers
  • Sofia Frilund
  • Kennet Tallgren
Teacher in charge

Ronnie Sundsten

Scheduling groups
  • ELA23-S (Size: 45. Open UAS: 0.)
  • ELA23-Y (Size: 45. Open UAS: 0.)
Groups
  • ELA23D-V
    Ingenjör (YH), el- och automationsteknik, 2023, dagstudier
  • ÖH23ELA-LED-V
    Öppna YH, el-och automationsteknik ledstudier
Small groups
  • ELA23-S
  • ELA23-Y

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

None

Enrollment

15.06.2023 - 03.09.2023

Timing

28.08.2023 - 08.10.2023

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
Teachers
  • Sofia Frilund
Teacher in charge

Kaj Wikman

Groups
  • ÖH23UIT-LED-V
    Öppna YH, Informationsteknik, ledstudier
  • UIT23D-V
    Ingenjör (YH), informationsteknik

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

None

Enrollment

15.06.2023 - 17.09.2023

Timing

28.08.2023 - 29.10.2023

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
Teachers
  • Ing-Britt Rögård
  • Kennet Tallgren
Teacher in charge

Leif Östman

Scheduling groups
  • BYS23-S (Size: 30. Open UAS: 0.)
  • BYS23-Y (Size: 30. Open UAS: 0.)
  • BYL (Size: 30. Open UAS: 0.)
Groups
  • BYL23D-V
    Ingenjör (YH), lantmäteriteknik, 2023 dagstudier
  • BYS23D-V
    Ingenjör (YH), byggnads- och samhällsteknik, 2023 Vasa, dagstudier
  • ÖH23BYS-LED-V
    Öppna YH, byggnads- och samhällsteknik ledstudier, Vasa
  • ÖH23ULA-LED-V
    Öppna YH, lantmäteriteknik ledstudier
Small groups
  • BYS23-S
  • BYS23-Y
  • BYL

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

None

Enrollment

15.06.2023 - 03.09.2023

Timing

28.08.2023 - 05.11.2023

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
Teachers
  • Ing-Britt Rögård
Teacher in charge

Roger Nylund

Groups
  • PRE23D-V
    Ingenjör (YH), produktionsekonomi, 2023 dagstudier
  • ÖH23PRE-LED-V
    Öppna YH, produktionsekonomi ledstudier

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

None