TATA83 · 6 credits · Basic level (G1F) · Matematik, Tillämpad matematik
Calculus, Several Variables
Active · next start VT 2027
64%
passed the latest ordinary exam
TEN1 · 23 Mar 2026 · 76 students
69%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 377 students
79%
Harder than 79% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 145 students.
Part of 3 programmes
Exam
TEN1 Written examination
- 5
- 4
- 3
- U
Ordinary exams
69% passed · 377 students
- 64%76
- 57%69
- 69%78
- 76%74
- 79%80
Re-exams
49% passed · 234 students
- 65%17
- 53%32
- 71%17
- 56%32
- 67%18
- 39%33
- 61%18
- 13%23
- 67%18
- 23%26
- Pass the re-exam: 49% (234 students), compared with 69% (377 students) on the ordinary exam
- Get 4 or 5: 35% (611 students)
About the course
Aim
After completing the course, the student should be able to
- choose and apply solution methods to problems in both parts of the course A and B, which are described in the course content.
- report and justify solutions to tasks within the course content with using relevant concepts and clear reasoning.
Content
Part A: Topological basics. Functions of several variables. Limit value and continuity. Partial derivatives and differentiability. Differential and the chain rule. Gradient and directional derivatives. Curve and tangent vector. Surface and tangent plane.
Part B: Taylor's polynomial and Taylor's formula. Quadratic forms and local extreme values. Neural network. Functional matrices and functional determinants. Extreme value. Optimization on compact areas. Optimization under conditions. Double and triple integrals. Change of variable in multiple integrals.
- Examiner
- Vitalij Tjatyrko
- Scheduled hours
- 56 h
- Main field of study
- Matematik, Tillämpad matematik