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2MAT301 Mathematics III
Learning outcomes
By completing the course, the student will have achieved the following learning outcomes:
Knowledge
The student
- has a good mathematical foundation for advanced visualisation and simulation
Skills
The student
- is able to make mathematical models for visualisation and simulation
General competence
The student
- is able to apply mathematical models in games, 3D visualisation and systems thinking
Course content
Central topics:
- affine spaces, homogeneous matrices
- numerical solution of linear equation systems
- interpolation and approximation
- polynomials, splines, continuity, smoothness
- triangulations and barycentric coordinates
- 3D curves and planes, including Bezier and B-spline curves
- quaternions
- collision treatment
- elementary game theory
Teaching and working methods
Lectures and mathematics exercises.
Coursework requirements
- 3–5 individual assignments, in accordance with the teaching plan
Examination
- 4-hour individual written examination
Alphabetical grades are used on degree from A to F, with E as the lowest passing grade.