TATA91 · 6 credits · Basic level (G1F) · Matematik, Tillämpad matematik
Calculus in One and Several Variables
Active · next start VT 2027
41%
passed the latest ordinary exam
TEN1 · 29 May 2026 · 80 students
53%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 384 students
Unusually hard in 2025/26
41% passed the ordinary exam in 2025/26 (80 students), against 57% on average in earlier years (304 students).
Part of 2 programmes
Exam
TEN1 Written exam
- 5
- 4
- 3
- U
Ordinary exams
53% passed · 384 students
- 41%80
- 56%75
- 43%79
- 73%71
- 56%79
Re-exams
44% passed · 272 students
- 47%47
- 65%17
- 30%43
- 61%18
- 39%46
- 40%10
- 54%26
- 29%24
- 50%30
- 45%11
- Pass the re-exam: 44% (272 students), compared with 53% (384 students) on the ordinary exam
- Get 4 or 5: 17% (656 students)
About the course
Aim
Gain familiarity with mathematical concepts, reasoning and relationships in calculus in one and several variables, and gain the calculation and problem solving skills needed for further studies. After completing this course you should be able to
- cite, explain and use the definitions and theorems of the course’s key concepts
- solve problems and verify that results are correct or resonable
Content
Taylor's and Maclaurin's formulae: Maclaurin expansions of the elementary functions, the Ordo form of the remainder term with applications, e.g. computations of limits. Ordinary differential equations: first order linear and separable equations, higher order linear equations with constant coefficients. Improper integrals: investigation of convergence, absolute convergence. Numerical series: investigation of convergence, absolute convergence, Leibniz criterion. The space R ^ n: basic topological concepts, functions from R ^ n to R ^ p, function surfaces,level surfaces and level curves. Differential calculus: partial derivatives, the chain rule, partial differential equations, gradient, normal, tangent, tangent plane and directional
- Examiner
- Jesper Thorén
- Scheduled hours
- 36 h
- Main field of study
- Matematik, Tillämpad matematik