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2MAT201 Mathematics II
Learning outcomes
By completing the course, the student will have achieved the following learning outcomes:
Knowledge
The student
- has knowledge of methods in linear algebra
- has knowledge of the use of linear algebra in 3D space and geometric transformations
- has knowledge of methods in calculus of probability
Skills
The student
- has skills in methods of linear algebra and calculus of probability
- is fully conversant with critical thinking, logic, communication and problem solving
General competence
The student
- is able to use methods of linear algebra and calculus of probability in games, 3D visualisation and systems thinking
Course content
Central topics:
- vector space, basis, orthogonality, norm/metric, 2D, 3D, 4D vectors, normal vector, and the equation for a plane
- matrices, multiplication, transposed matrix, inverted matrix
- solving linear equations
- systems differential equations, intrinsic value and eigenvector
- geometric transformations
- homogeneous coordinates, scaling, rotation, translation
- theory of combinations, calculus of probability and probability distributions
Teaching and working methods
Lectures and mathematics exercises.
Coursework requirements
- 3–5 individual assignments
- attendance at lectures in accordance with the teaching plan
- attendance at laboratory teaching 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.