Course - Mathematics 2 - Multivariable calculus and vector analysis - TMA4105
TMA4105 - Mathematics 2 - Multivariable calculus and vector analysis
About
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 4 hours | D |
Course content
Curves in space. Functions of several variables. Taylor's theorem in two dimensions, extremal values in several variables, Lagrange multipliers. Double and triple integrals, line and surface integrals. Vector calculus. The theorems of Green, Stokes, and Gauss.
Learning outcome
- Knowledge. The student is able to recognize, understand and apply concepts and methods from multi-variable mathematical analysis, including multiple integrals, line integrals, surface integrals and the integral theorems of vector analysis.
- Skills. The student is able to apply his or her knowledge of multi-variable mathematical analysis 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. Information regarding the number of compulsory exercises that must be approved will be listed on the course website at the start of the course. 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. The retake exam is in August.
Recommended previous knowledge
TMA4100 Mathematics 1 or equivalent.
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| MA1103 | 7.5 | ||
| SIF5005 | 7.5 | ||
| TMA4111 | 3.7 | AUTUMN 2022 | |
| TMA4121 | 3.7 | AUTUMN 2022 |
Version: 1
Credits:
7.5 SP
Study level: Foundation courses, level I
Term no.: 1
Teaching semester: SPRING 2025
Language of instruction: 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 D INSPERA
-
Room Building Number of candidates - Summer UTS School exam 100/100 D INSPERA
-
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"