Course - Linear Algebra with Applications - MA1202
MA1202 - Linear Algebra with Applications
About
Examination arrangement
Examination arrangement: Written examination
Grade: Letters
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Skriftlig | 100/100 | 4 timer |
Course content
The course includes: General vector spaces (linear independence, basis), spaces with inner product, orthonormal basis, Gram-Schmidt, change of basis, orthogonal matrices, linear
transformations (kernel, image, dimension theorem, associated matrices), eigenvalues and eigenvectors for linear transformations and matrices, eigenspaces, complex vector spaces, complex inner products, unitary and Hermitian matrices, singular value decomposition and Cayley-Hamilton's theorem. Applications may include Markov chains, population growth (Leslie matrices), game theory, systems of differential equations, Fourier analysis, and fractals.
Learning outcome
1. Knowledge. The student is familiar with basic concepts concerning general vector spaces, matrices and linear transformations: Linear independence, basis, inner product space, orthonormal basis, Gram-Schmidt process, change of basis, orthogonal matrices, kernel, range, eigenvalues, eigenvectors, and diagonalization. The student is familiar with several applications of linear algebra.
2. Skills. The student masters various alogrithms and methods to make calculations involving vector spaces, matrices and linear transformations. The student is able to write simple mathematical proofs.
Learning methods and activities
Lectures and exercises. Final grade based on written final examination. Retake of examination may be given as an oral examination.
Compulsory assignments
- Exercises
Recommended previous knowledge
MA1201 Linear algebra and geometry.
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| MA6202 | 7.5 | ||
| MNFMA108 | 7.5 | ||
| TMA4110 | 3.0 | ||
| TMA4115 | 3.0 |
Version: 1
Credits:
7.5 SP
Study level: Foundation courses, level I
Term no.: 1
Teaching semester: SPRING 2014
Language of instruction: -
-
- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Written examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD Skriftlig 100/100 2014-05-20 09:00
-
Room Building Number of candidates - Summer KONT Skriftlig 100/100 2014-08-09 09:00
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"