Mathematics 15 - Linear Algebra and Discrete Mathematics
- 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.
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 vectors, addition, multiplication and division, complex conjugate, cartesian and polar form, Euler's and deMoivre's theorems
2nd order and systems of 1st order linear differential equations with constant coeffisients.
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
Form(s) of Assessment
Written exam, 4 hours
Alphabetical Scale, A(best) – F (fail)
The answers will be evaluated by the internal examiner.
An external examiner will be used periodicaly (every 3 to 4 years).
A re-sit examination will be held if necessary
An approved calculator and formula tables
A number of approved tests (maximum 4) is required but will not influence on the grading scale.
- Glyn James: Modern Engineering Mathematics, 4th edition" , Pearson / Prentice Hall. ISBN 978-0-13-239144-3
- Edwards & Penney: Calculus. ISBN 9780136158400
~All written material published at the homepage of the course (http://www2.hig.no/at/realfag/matematikk/Ma15/)