Course - Calculus 3 - TMA4115
TMA4115 - Calculus 3
About
Examination arrangement
Examination arrangement: Written examination
Grade:
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Skriftlig | 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. Grade based on written final written examination. Retake of examination may be given as an oral examination. The lectures may be given in English.
Compulsory assignments
- Øvinger
Further on evaluation
see «Teaching methods and activities».
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 | ||
| MA1202 | 3.0 | ||
| TMA4110 | 7.5 | ||
| MA0003 | 1.5 | ||
| MA6201 | 3.0 |
Version: 1
Credits:
7.5 SP
Study level: Foundation courses, level I
Term no.: 1
Teaching semester: SPRING 2019
Language of instruction: English, Norwegian
Location: Trondheim
- 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 C 2019-05-31 09:00
-
Room Building Number of candidates SL111 grønn sone Sluppenvegen 14 0 SL110 lilla sone Sluppenvegen 14 0 SL110 hvit sone Sluppenvegen 14 0 SL110 turkis sone Sluppenvegen 14 0 SL325 Sluppenvegen 14 0 SL323 Sluppenvegen 14 0 SL321 Sluppenvegen 14 0 Hall B Utleirahallen 0 SL111 brun sone Sluppenvegen 14 0 SL111 orange sone Sluppenvegen 14 0 SL111 lyseblå sone Sluppenvegen 14 0 SL111 blå sone Sluppenvegen 14 0 SL210 Sluppenvegen 14 0 Hall A Utleirahallen 0 SL120 blå sone Sluppenvegen 14 0 SL238 Sluppenvegen 14 0 SL215 Sluppenvegen 14 0 SL354 Sluppenvegen 14 0 SL311 brun sone Sluppenvegen 14 0 - Summer UTS Skriftlig 100/100 C
-
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"