norsk norsk&engelsk / norwegian&english

Course Description REA1051 - Mathematics 15 - Linear Algebra and Discrete Mathematics (2005/2006)

LevelUndergraduate
ECTS Credits5
DurationSpring
LanguageNorwegian
Prerequisite(s) 
Aim

The students shall be able to show knowledge and understanding of the concepts, symbols, problems and solving methods of discrete mathematics and the fundamentals of linear algebra and multivariable functions.

Content

Matrices and linear algebra:
Matrix operations, evaluating determinants and rank, solving systems of linear equations with Gaussian elimination and with inverse matrices, eigenvalues and eigenvectors, diagonalisation, vector spaces, linear independence, basis and dimension, linear transformations.
Set theory and Propositional Logic : Concepts and principles.
Combinatorics: Permutations, binomial coefficients, Newton’s binomial formula.
Functions of two variables: Partial differentiation, max./min. problems.

Study MethodsLectures, Exercises
Software as Maple / Matlab can be implemented.
AssessmentWritten Exam, 4 hours
Grading SystemAlphabetical Scale, A (best) - F (fail)
Course RequirementsExercises
3 reports/tests must be accepted before the exam