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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.