Course - Calculus 3 - TMA4110
TMA4110 - Calculus 3
About
Examination arrangement
Examination arrangement: Written examination
Grade: Letters
| Evaluation form | Weighting | Duration | Examination aids | Grade deviation |
|---|---|---|---|---|
| Written examination | 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 final written examination. Retake of examination may be given as an oral examination. The lectures may be given in English.
Compulsory assignments
- Exercises
Further on evaluation
see «Teaching methods and activities».
Specific conditions
Exam registration requires that class registration is approved in the same semester. Compulsory activities from previous semester may be approved by the department.
Recommended previous knowledge
TMA4100 Calculus 1 or equivalent.
Course materials
Will be announced at the start of the semester.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| SIF5009 | 7.5 | ||
| SIF5010 | 7.5 | ||
| MA1201 | 3.0 | 01.09.2009 | |
| MA1202 | 3.0 | 01.09.2009 | |
| MA0003 | 1.5 | 01.09.2009 | |
| TMA4115 | 7.5 | 01.09.2006 | |
| MA6201 | 3.0 | 01.09.2012 | |
| MA6202 | 3.0 | 01.09.2020 | |
| TMA4101 | 3.7 | 01.09.2020 | |
| TMA4106 | 3.7 | 01.09.2020 |
Version: 1
Credits:
7.5 SP
Study level: Foundation courses, level I
Term no.: 1
Teaching semester: AUTUMN 2020
No.of lecture hours: 4
Lab hours: 2
No.of specialization hours: 6
Language of instruction: English, Norwegian
Location: Trondheim
- Technological subjects
Department with academic responsibility
Department of Mathematical Sciences
Phone:
Examination
Examination arrangement: Written examination
- Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
- Autumn ORD Written examination 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"