TNA007 · 6 credits · Basic level (G2F) · Matematik, Tillämpad matematik
Vector Analysis
Active · next start HT 2026
85%
passed the latest ordinary exam
TEN1 · 17 Jan 2026 · 65 students
61%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 335 students
Unusually easy in 2025/26
85% passed the ordinary exam in 2025/26 (65 students), against 56% on average in earlier years (270 students).
Part of 2 programmes
Exam
TEN1 Written examination
- 5
- 4
- 3
- U
Ordinary exams
61% passed · 335 students
- 85%65
- 46%76
- 69%48
- 48%64
- 61%82
Re-exams
37% passed · 201 students
- 10%10
- 50%14
- 15%20
- 41%22
- 44%18
- 47%15
- 64%25
- 20%25
- 32%19
- 36%33
- Pass the re-exam: 37% (201 students), compared with 61% (335 students) on the ordinary exam
- Get 4 or 5: 16% (536 students)
Other modules
Partial exams, hand-ins and labs. They are not part of the figures at the top.
Other module
KTR2 Optional Written Test
- D
Main rounds
100% passed · 210 students
- 100%61
- 100%65
- 100%84
Later rounds
No sittings with at least 5 students.
Other module
KTR3 Optional Written Test
- D
Main rounds
100% passed · 165 students
- 100%40
- 100%47
- 100%78
Later rounds
No sittings with at least 5 students.
Other module
KTR4 Optional Written Test
- G
- U
Main rounds
97% passed · 120 students
- 95%63
- 98%57
Later rounds
No sittings with at least 5 students.
Other module
KTR5 Optional Written Test
- G
- U
Main rounds
56% passed · 105 students
- 71%48
- 44%57
Later rounds
No sittings with at least 5 students.
About the course
Aim
This course is a continuation of the course in multi variable calculus. Consequently, the aims are similar: to give students an understanding of mathematical concepts and familiarity with mathematical methods of analysis. Here, these aims relate to the treatment of functions of several variables and vector fields which arise in all branches of physics and engineering. Students will be expected to be able to do the following after completing this course:
- find potentials and vector potentials for a vector field
- find flow lines of a vector field
- calculate path and surface integrals
- use Gauss' and Stokes' theorems for calculations of flux and path integrals
- use spherical and cylindrical coordinates in calculations
- use methods from machine learning to determine a potential
Content
Scalar and vector fields. The gradient, divergence and curl. Line, surface and flux integrals. The Divergence theorem and Stokes's theorem. Curvilinear coordinates. Partial differential equations.
- Examiner
- Olof Svensson
- Scheduled hours
- 48 h
- Main field of study
- Matematik, Tillämpad matematik