Dept of Mathematics
MAM061 Mathematics 6.0 ECTS credits
DENNA SIDA FINNS OCKSÅ PÅ SVENSKA
General information about studying at Luleå University
TIMEPERIOD:
LANGUAGE: Swedish
EXAMINER
Inge Söderqvist Univ lekt
PREREQUISITES
First year mathematics, MAM039 or similar
COURSE AIM
To give
- basic knowledge about using floating point arithmetic on computers
- knowledge about principles for construction of numerical algorithms
- knowledge about numerical algorithms for some different applications
- ability to use numerical software and to evaluate the accuracy of the result
- knowledge about some important transformation techniques for solving ordinary and partial differential equations.
CONTENTS
Error analysis and computer arithmetic. Numerical methods for nonlinear equations, linear system of equations, linear eigenvalue problems, interpolation, approximation, integration, and ordinary differential equations including systems of ODE.
Solving ordinary differential equations using power series, Fourier series, and Laplace transform.
Modelling and solving problems with partial differential equations. Including e.g.
the technique of separation of variables.
TEACHING
EXAMINATION
COURSE GRADE SCALE: A - F
ITEMS AND CREDITS
Laboratory work 1.5 ECTS
Written exam 4.5 ECTS
COURSE LITERATURE
Kreyszig: Advanced Engineering Mathematics, 7 ed. John Wiley, 1993 or later.
Råde, Westergren: Beta, Mathematics Handbook. Studentlitteratur.
REMARKS
Last modified 97-03-05
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