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

Level	Undergraduate
ECTS Credits	5
Duration	Spring
Language	Norwegian
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 Methods	Lectures, Exercises Software as Maple / Matlab can be implemented.
Assessment	Written Exam, 4 hours
Grading System	Alphabetical Scale, A (best) - F (fail)
Course Requirements	Exercises 3 reports/tests must be accepted before the exam