Geometry and Vectors (3 cr)
Code: TKV22MA02-3005
General information
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