Course - Calculus 3 - TMA4115
TMA4115 - Calculus 3
About
Examination arrangement
Examination arrangement: Written examination
Grade: Letters
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Skriftlig | 100/100 | 4 timer |
Course content
Complex numbers and the complex exponential function. Second order linear differential equations. Systems of linear equations, Gauss-Jordan elimination, reduced Echelon form, matrix algebra, determinants. Vector spaces, subspaces, linear dependence and independence. Inner products, orthogonality, orthogonal projections, Gram-Schmidt orthogonalization, and the method of least squares. Eigenvalues and eigenvectors, diagonalization, symmetric matrices and quadratic forms. First order systems of differential equations. Examples, exercises, midterm and exam problems adapted to the relevant program of study.
Learning outcome
The aim of the course is to give an introduction to linear differential equations and basic linear algebra, and moreover illustrate the theory with concrete applications within technological sciences.
Learning methods and activities
Lectures and compulsory exercises. Letter grade based 100% from final written examination. Retake of examination may be given as an oral examination. The course may be lectured in English.
Compulsory assignments
- Exercises
Recommended previous knowledge
The course is based on TMA4100 Calculus 1 or equivalent.
Course materials
Will be announced at the semester start.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| MA0003 | 1.5 | ||
| MA1201 | 7.5 | ||
| MA1201 | 3.0 | ||
| MA1202 | 3.0 | ||
| MA6201 | 7.5 | ||
| MA6201 | 3.0 | ||
| SIF5010 | 7.5 | ||
| TMA4110 | 7.5 |
Version: 1
Credits:
7.5 SP
Study level: Foundation courses, level I
Term no.: 1
Teaching semester: SPRING 2011
Language of instruction: English
-
- Technological subjects
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 2011-06-06 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"