Course syllabus

Flerdimensionell analys med vektoranalys
Calculus in Several Variables

FMAB35, 7,5 credits, G1 (First Cycle)

Valid for: 2019/20
Decided by: PLED F/Pi
Date of Decision: 2019-03-26

General Information

Main field: Technology.
Compulsory for: Pi1
Language of instruction: The course will be given in Swedish


The course aims at giving a basic treatment of calculus in several variables, including three-dimensional vector analysis. Particular emphasis is put on the role which calculus in several variables plays in applications in different subjects of technology, in order to give the future engineer a good foundation for further studies in mathematics as well as other subjects. The aim is furthermore to develop the student's ability in problem solving and to assimilate mathematical text.

Learning outcomes

Knowledge and understanding
For a passing grade the student must

Competences and skills
For a passing grade the student must


Part 1. Calculus in several variables

Part 2. Threedimensional vector analysis

Surface integrals. Flux integrals. Divergence and rotation. Gauss and Stokes theorems. Potentials and exact differentials. The continuity equation.

Examination details

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: In the first subcourse a written test comprising theory and problem solving. (This test is identical with the one given in the course FMAB30). In the second subcourse, a written test. The final grade is the grade obtained on the first test. Computer work.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.

Code: 0117. Name: Calculus in Several Variables.
Credits: 6. Grading scale: TH. Assessment: Written test comprising theory and problem solving. The test is identical to the one given for the course FMAB30. Contents: See part 1 above. (Coinciding with the contents of the course FMAB30.)
Code: 0217. Name: Three-dimensional Vector Analysis.
Credits: 1,5. Grading scale: UG. Assessment: Written test in the middle of the study period. Retakes in appropriate examination periods. Contents: See part 2 above.
Code: 0317. Name: Computer Work.
Credits: 0. Grading scale: UG.


Required prior knowledge: FMAA01 or FMAA05, Calculus in One Variable, FMAB20 Linear Algebra.
The number of participants is limited to: No
The course overlaps following course/s: FMA435, FMA025, FMA430, FMAF15, MATB15, FMAB30

Reading list

Contact and other information

Course coordinator: Studierektor Anders Holst,
Course homepage: