TATB09 · 6 credits · Basic level (G1F) · Matematik, Tillämpad matematik
Calculus in Several Variables
Active · next start HT 2026
61%
passed the latest ordinary exam
TEN1 · 19 Aug 2026 · 36 students
59%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 335 students
81%
Harder than 81% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 335 students.
Part of 3 programmes
Exam
TEN1 Written examination
- 5
- 4
- 3
- U
Ordinary exams
59% passed · 335 students
- 61%36
- 59%299
Re-exams
78% passed · 99 students
- 78%99
- Pass the re-exam: 78% (99 students), compared with 59% (335 students) on the ordinary exam
- Get 4 or 5: 16% (434 students)
Other modules
Partial exams, hand-ins and labs. They are not part of the figures at the top.
Hand-in or lab
UPG1 Digital home assignment
- G
- U
Main rounds
98% passed · 629 students
- 98%287
- 97%342
Later rounds
100% passed · 14 students
- 100%14
- Pass a later round: 100% (14 students), compared with 98% (629 students) on the ordinary exam
Show small sittings (1)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%2
Other module
KTR2 Optional digital test
- G
- U
Main rounds
99% passed · 627 students
- 100%280
- 99%347
Later rounds
No sittings with at least 5 students.
Other module
KTR1 Optional digital test
- G
- U
Main rounds
96% passed · 619 students
- 97%287
- 95%332
Later rounds
No sittings with at least 5 students.
Other module
KTR3 Optional digital test
- G
- U
Main rounds
99% passed · 339 students
- 99%339
Later rounds
No sittings with at least 5 students.
About the course
Aim
After completing the course, the student should be able to
- choose and apply methods to problems within all parts of the course, as they are described in the course content
- present and justify solutions to tasks within the course content using relevant concepts and clear reasoning
Content
Part A: Sets, functions, limits and derivatives in several variables
Subsets of R^n. Functions. Limits. Continuity. Differentiability. Partial derivatives. Jacobian matrices. Chain rule. Partial differential equations.
Part B: Geometric applications of derivatives and implicitly defined functions.
Directional derivatives. Gradients. Geometric applications. Inverse and implicit functions.
Part C: Optimization
Taylors formula. Local extreme values. Parametric curves and surfaces. Optimization.
Part D: Multiple Integrals and applications.
Double and triple integrals. Change of variables. Applications.
- Examiner
- Tomas Sjödin
- Scheduled hours
- 64 h
- Main field of study
- Matematik, Tillämpad matematik