MC ▸ NA ▸ courses ▸ FMA421-Part II – VT 1 - 2011

Short Description

URL
http://www.maths.lth.se/na/courses/FMA421
Credits:
9,0 points
Instructors:
Anna Torstensson and Claus Führer (for the computational part)
Teaching Assistants:
George Fülep, Adam Nilsson, Lovisa Senje, Kristofer Rasmusson, Emilie Rosenlund, Mikael P Sundqvist, Petter Strandmark
Language:
Swedish, written material might be in English
Grading:
U, 3,4,5
Examination:
2 exams: one theory exam and one computer based exam
Prerequisites:
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Contents

Systems of linear equations. Vectors. Bases and coordinate systems. Equations for lines and planes in space. Scalar product with applications. Vector product with applications. Matrices. Rank. Linear transformations. Determinants. Eigenvalues and eigenvectors.
Introduction to Matlab and its use for computation with vectors and matrices. Basic Matlab. Graphics. Numerical methods in linear algebra (solving linear systems of equations, computation of eigenvalues, least squares approximation) with applications in mechanics.

Course book

Sparr, G: Linjär algebra. Studentlitteratur 1994. ISBN 91-44-19752-7, see also  Grimsberg Michaël: Börja med Matlab, KFS 2002  (or a later edition)

Goal

The course aims at giving a basic treatment of linear algebra. Particular emphasis is on the role this plays in applications in different areas of technology, in order to give the future engineer a good foundation for further studies in mathematics as well as other subjects. The aim is also to develop the student's ability to solve problems and to assimilate mathematical text. Furthermore, the course aims at giving basic ability to use of computer software to convert mathematical theory into numerical computations. The students should become familiar with Matlab, its syntax and structures. The course is intended as a basis for other courses which use Matlab.