2MAT201 Mathematics II

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 

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 

Lectures and mathematics exercises. 

• 3–5 individual assignments 
• attendance at lectures in accordance with the teaching plan
• attendance at laboratory teaching in accordance with the teaching plan 

• 4-hour individual written examination 

Alphabetical grades are used on degree from A to F, with E as the lowest passing grade.