Course - Vector Calculus - MA1103
MA1103 - Vector Calculus
About
Examination arrangement
Examination arrangement: Aggregate score
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Project | 30/100 | |||
| School exam | 70/100 | 4 hours | D |
Course content
The course provides an introduction to functions of several real variables and classical vector analysis. Topics discussed are: partial derivatives; directional derivatives; gradients; extremal problems and the Lagrange multiplier method; multiple integrals, line and surface integrals; vector valued functions; divergence, curl and flux of vector fields; the theorems of Green and Stokes; the divergence theorem; and applications.
Learning outcome
1 Knowledge. The student has knowledge of central concepts in multivariable analysis, including space curves; directional derivative; gradient; multiple integrals; line and surface integrals; vector fields; divergence, curl and flux; the theorems of Green and Stokes, and the divergence theorem.
2. Skills. The student is able to apply techniques from multivariable analysis to set up and solve mathematical models, to deduce simple mathematical results, and to calculate integrals. The student is able to set up and solve simple optimization problems, including problems with constraints.
Learning methods and activities
Lectures and compulsory exercises.
Compulsory assignments
- Exercises
Further on evaluation
The course has two evaluations. A continuation exam is held for the written school exam, this may be changed to oral exam if there are few students. The continuation exam is in August. There is no continuation exam for the project.
If one evaluation is passed, and one is failed, the evaluation that is failed can be retaken if necessary next time the course is lectured ordinary.
Students that want to improve their grade in the course, can choose to retake one of the two evaluations. If the evaluation is changed, the whole evaluation must be retaken.
Recommended previous knowledge
MA1101 Basic calculus I, MA1201 Linear algebra and geometry.
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| MNFMA109 | 7.5 | ||
| TMA4105 | 7.5 |
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
- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Aggregate score
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD School exam 70/100 D INSPERA
-
Room Building Number of candidates - Spring ORD Project 30/100 INSPERA
-
Room Building Number of candidates - Summer UTS School exam 70/100 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"