MA1103 - Vector Calculus


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.

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From To
MNFMA109 7.5
TMA4105 7.5
More on the course

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

Subject area(s)
  • Mathematics
Contact information
Course coordinator:

Department with academic responsibility
Department of Mathematical Sciences


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"

More on examinations at NTNU