Mathematics 15 - Linear Algebra and Discrete Mathematics
2009-2010 - REA1051F - 5 ECTS

Expected learning outcomes

Make the students familiar with some basic concepts, problem issues and solving methods regarding linear algebra, linear differential equations and discrete mathematics.

Topic(s)

Matrices and linear algebra:
Matrix algebra, vector algebra, Gaussian elimination, determinants, inverse matrices, linear transformations, vector spaces, linear independence, basis, rank, dimension, coordinate transformations, eigenvalues and eigenvectors, diagonalisation, orthogonal matrices

Complex numbers:
Complex vectors, addition, multiplication and division, complex conjugate, cartesian and polar form, Euler's and deMoivre's theorems

Differential equations:
2nd order and systems of 1st order linear differential equations with constant coeffisients.

Set theory:
Set, element, inclusion, subset, intersection, union, relative complement, complement, symmetric difference, Venn diagram

Propositional Logic :
Compound proposition, negation, conjunction, disjunction, implication, biimplication, truth table, proof by mathematical induction

Teaching Methods

Other

Form(s) of Assessment

Written exam, 4 hours

Grading Scale

Alphabetical Scale, A(best) – F (fail)

External/internal examiner

The answers will be evaluated by the internal examiner.

An external examiner will be used periodicaly (every 3 to 4 years).

Re-sit examination

A re-sit examination will be held if necessary

Examination support

An approved calculator and formula tables

Coursework Requirements

A number of approved tests (maximum 4) is required but will not influence on the grading scale.

Teaching Materials

• Glyn James: Modern Engineering Mathematics, 4th edition" , Pearson / Prentice Hall. ISBN 978-0-13-239144-3
• Lorentzen, Hole, Lindstrøm: Kalkulus med en og flere variable, Universitetsforlaget. ISBN 82-00-42433-2

All written material published at the homepage of the course (http://www2.hig.no/at/realfag/matematikk/Ma15/)