Course - Mathematics 2 - Multivariable calculus and vector analysis - TMA4105
TMA4105
This course has academic overlap with the courses in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.
Mathematics 2 - Multivariable calculus and vector analysis
Choose study year
Credits
7.5
Level
Foundation courses, level I
Course start
Spring 2025
Duration
1 semester
Language of instruction
Norwegian
Location
Trondheim
Examination arrangement
School exam
About
About the course
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 |
|---|---|---|
| MA1103 | 7.5 sp | |
| SIF5005 | 7.5 sp | |
| TMA4111 | 3.7 sp | Autumn 2022 |
| TMA4121 | 3.7 sp | Autumn 2022 |
Subject areas
- Technological subjects