Course - Mathematics 3 - Linear algebra - TMA4115
TMA4115 - Mathematics 3 - Linear algebra
About
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 4 hours | C |
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.
Learning outcome
1. Knowledge. The student is able to recognize, understand and apply concepts and methods from linear algebra in Euclidean spaces and systems of differential equations. 2. Skills. The student is able to apply his or her knowledge of linear algebra and systems of differential equations to formulate and solve problems in mathematics and the natural sciences/technology, if necessary with the additional aid of mathematical software.
Learning methods and activities
Lectures and compulsory exercises. The lectures may be given in English.
Compulsory assignments
- Exercises
Further on evaluation
Grade based on written final written examination. Retake of examination may be given as an oral examination.
Recommended previous knowledge
TMA4100 Calculus 1 or equivalent.
Course materials
Will be announced at the beginning of the semester.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| SIF5010 | 7.5 | ||
| MA1201 | 3.0 | AUTUMN 2009 | |
| MA1202 | 3.0 | AUTUMN 2009 | |
| TMA4110 | 7.5 | AUTUMN 2006 | |
| MA0003 | 1.5 | AUTUMN 2009 | |
| MA6201 | 3.0 | AUTUMN 2012 | |
| TMA4101 | 3.7 | AUTUMN 2020 | |
| TMA4106 | 3.7 | AUTUMN 2020 |
Version: 1
Credits:
7.5 SP
Study level: Foundation courses, level I
Term no.: 1
Teaching semester: SPRING 2024
Language of instruction: English, Norwegian
Location: Trondheim
- Technological subjects
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD School exam 100/100 C 2024-05-16 09:00 INSPERA
-
Room Building Number of candidates SL520 Sluppenvegen 14 35 SL410 blå sone Sluppenvegen 14 51 SL410 orange sone Sluppenvegen 14 58 SL210 Sluppenvegen 14 51 SL111 blå sone Sluppenvegen 14 36 SL111 lyseblå sone Sluppenvegen 14 72 SL111 orange sone Sluppenvegen 14 60 SL111 brun sone Sluppenvegen 14 81 SL111 grønn sone Sluppenvegen 14 50 SL110 lilla sone Sluppenvegen 14 64 SL110 hvit sone Sluppenvegen 14 64 SL110 turkis sone Sluppenvegen 14 80 SL324 Sluppenvegen 14 1 SL323 Sluppenvegen 14 1 SL322 Sluppenvegen 14 1 SL319 Sluppenvegen 14 1 SL274 Sluppenvegen 14 8 SL271 Sluppenvegen 14 4 SL120 Sluppenvegen 14 55 - Summer UTS School exam 100/100 C 2024-08-16 15:00 INSPERA
-
Room Building Number of candidates SL319 Sluppenvegen 14 1 SL228 Sluppenvegen 14 6 SL310 turkis sone Sluppenvegen 14 39 SL322 Sluppenvegen 14 1
- * 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"