Geometry and VectorsLaajuus (3 cr)
Code: TKV22MA02
Credits
3 op
Objective
The student :
- is able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Qualifications
No prerequisites
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Enrollment
15.06.2024 - 18.02.2025
Timing
19.02.2025 - 12.03.2025
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 Civil and Construction Engineering
- Degree Programme in Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
- Degree Programme in Land Surveying
Teachers
- Sofia Frilund
Teacher in charge
Matts Nickull
Groups
-
ÖH24FLEXINGÖppna YH, Flexibelt till Ingenjör
Objective
The student :
- is able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Qualifications
No prerequisites
Enrollment
15.06.2024 - 10.11.2024
Timing
11.11.2024 - 22.12.2024
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 Civil and Construction Engineering
- Degree Programme in Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
- Degree Programme in Land Surveying
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-VIngenjör (YH), produktionsekonomi, 2024 dagstudier
Small groups
- PRE24-Y
- PRE24-S
Objective
The student :
- is able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Qualifications
No prerequisites
Enrollment
15.06.2024 - 10.11.2024
Timing
11.11.2024 - 22.12.2024
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 Civil and Construction Engineering
- Degree Programme in Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
- Degree Programme in Land Surveying
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 able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Qualifications
No prerequisites
Enrollment
15.06.2024 - 10.11.2024
Timing
04.11.2024 - 22.12.2024
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 Civil and Construction Engineering
- Degree Programme in Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
- Degree Programme in Land Surveying
Teachers
- Ing-Britt Rögård
Teacher in charge
Sem Timmerbacka
Groups
-
BYB24D-VByggmästare (YH), h24, dagstudier, Vasa
-
BYL24D-VIngenjör (YH), lantmäteriteknik, 2024 dagstudier
Objective
The student :
- is able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Qualifications
No prerequisites
Enrollment
15.06.2024 - 03.11.2024
Timing
04.11.2024 - 22.12.2024
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 Civil and Construction Engineering
- Degree Programme in Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
- Degree Programme in Land Surveying
Teachers
- Kennet Tallgren
Teacher in charge
Leif Östman
Groups
-
BYS24D-VIngenjör (YH), byggnads- och samhällsteknik, 2024 Vasa, dagstudier
Objective
The student :
- is able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Qualifications
No prerequisites
Enrollment
15.06.2024 - 10.11.2024
Timing
28.10.2024 - 08.12.2024
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 Civil and Construction Engineering
- Degree Programme in Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
- Degree Programme in Land Surveying
Teachers
- Lina Åberg
- Sofia Frilund
Teacher in charge
Ronnie Sundsten
Scheduling groups
- ELA24-Y (Size: 50. Open UAS: 0.)
- ELA24-S (Size: 50. Open UAS: 0.)
Groups
-
ELA24D-VIngenjör (YH), el- och automationsteknik, 2024, dagstudier
Small groups
- ELA24-Y
- ELA24-S
Objective
The student :
- is able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Qualifications
No prerequisites
Enrollment
15.06.2024 - 27.10.2024
Timing
28.10.2024 - 08.12.2024
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 Civil and Construction Engineering
- Degree Programme in Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
- Degree Programme in Land Surveying
Teachers
- Lina Åberg
Teacher in charge
Kaj Wikman
Groups
-
UIT24D-VIngenjör (YH), informationsteknik, 2024
Objective
The student :
- is able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Qualifications
No prerequisites
Enrollment
01.12.2023 - 18.02.2024
Timing
13.02.2024 - 05.03.2024
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 Civil and Construction Engineering
- Degree Programme in Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
- Degree Programme in Land Surveying
Teachers
- Sofia Frilund
Teacher in charge
Matts Nickull
Groups
-
ÖH23FLEXINGÖppna YH, Flexibelt till Ingenjör
Objective
The student :
- is able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Qualifications
No prerequisites
Enrollment
15.06.2023 - 17.11.2023
Timing
06.11.2023 - 31.12.2023
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 Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
- Degree Programme in Land Surveying
Teachers
- Ing-Britt Rögård
- Sofia Frilund
Teacher in charge
Ing-Britt Rögård
Scheduling groups
- MAP23-S (Size: 30. Open UAS: 0.)
- MAP23-Y (Size: 30. Open UAS: 0.)
Groups
-
MAP23D-VIngenjör (YH), maskin- och produktionsteknik, 2023 dagstudier
-
ÖH23MAP-LED-VÖppna YH, maskin- och produktionsteknik ledstudier
Small groups
- MAP23-S
- MAP23-Y
Objective
The student :
- is able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Qualifications
No prerequisites
Enrollment
15.06.2023 - 08.11.2023
Timing
06.11.2023 - 31.12.2023
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 Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
- Degree Programme in Land Surveying
Teachers
- Ing-Britt Rögård
Teacher in charge
Roger Nylund
Groups
-
PRE23D-VIngenjör (YH), produktionsekonomi, 2023 dagstudier
-
ÖH23PRE-LED-VÖppna YH, produktionsekonomi ledstudier
Objective
The student :
- is able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Qualifications
No prerequisites
Enrollment
15.06.2023 - 08.11.2023
Timing
30.10.2023 - 31.12.2023
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 Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
- Degree Programme in Land Surveying
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-VIngenjör (YH), lantmäteriteknik, 2023 dagstudier
-
BYS23D-VIngenjör (YH), byggnads- och samhällsteknik, 2023 Vasa, dagstudier
-
ÖH23BYS-LED-VÖppna YH, byggnads- och samhällsteknik ledstudier, Vasa
-
ÖH23ULA-LED-VÖppna YH, lantmäteriteknik ledstudier
Small groups
- BYS23-S
- BYS23-Y
- BYL
Objective
The student :
- is able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Qualifications
No prerequisites
Enrollment
15.06.2023 - 22.10.2023
Timing
23.10.2023 - 17.12.2023
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 Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
- Degree Programme in Land Surveying
Teachers
- Lina Åberg
- Sofia Frilund
Teacher in charge
Ronnie Sundsten
Scheduling groups
- ELA23-S (Size: 45. Open UAS: 0.)
- ELA23-Y (Size: 45. Open UAS: 0.)
Groups
-
ELA23D-VIngenjör (YH), el- och automationsteknik, 2023, dagstudier
-
ÖH23ELA-LED-VÖppna YH, el-och automationsteknik ledstudier
Small groups
- ELA23-S
- ELA23-Y
Objective
The student :
- is able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Qualifications
No prerequisites
Enrollment
15.06.2023 - 22.10.2023
Timing
23.10.2023 - 17.12.2023
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 Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
- Degree Programme in Land Surveying
Teachers
- Lina Åberg
Teacher in charge
Kaj Wikman
Groups
-
ÖH23UIT-LED-VÖppna YH, Informationsteknik, ledstudier
-
UIT23D-VIngenjör (YH), informationsteknik
Objective
The student :
- is able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Qualifications
No prerequisites
Enrollment
01.12.2022 - 12.03.2023
Timing
15.02.2023 - 08.03.2023
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 Civil and Construction Engineering
- Degree Programme in Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
- Degree Programme in Land Surveying
Teachers
- Sofia Frilund
Teacher in charge
Matts Nickull
Groups
-
ÖH22FLEXINGÖppna YH, Flexibelt till Ingenjör
Objective
The student :
- is able to solve every kind of triangle ( both right angled triangles and others )
- is able to calculate areas and volumes of figures and solids
- is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
- is familiar with matrices and masters simply calculations with matrices
Content
- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Area- and volume caculations
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises
Application according to specific education may occur.
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, good (3)
Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Is able to calculate the value of a determinant
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
Assessment criteria, excellent (5)
Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.
Qualifications
No prerequisites