TNIU23 · 6 credits · Basic level (G1F) · Matematik, Tillämpad matematik
Calculus in One Variable II
Active · next start VT 2027
72%
passed the latest ordinary exam
TEN1 · 20 Mar 2026 · 46 students
66%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 244 students
74%
Harder than 74% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 92 students.
Part of 3 programmes
Exam
TEN1 Written examination
- 5
- 4
- 3
- U
Ordinary exams
66% passed · 244 students
- 72%46
- 57%46
- 75%44
- 72%65
- 53%43
Re-exams
23% passed · 143 students
- 10%10
- 43%14
- 42%19
- 15%26
- 25%12
- 6%17
- 40%5
- 29%17
- 0%6
- 18%17
- Pass the re-exam: 23% (143 students), compared with 66% (244 students) on the ordinary exam
- Get 4 or 5: 26% (387 students)
Show small sittings (3)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%1
- 100%1
- 100%1
Other modules
Partial exams, hand-ins and labs. They are not part of the figures at the top.
Other module
KTR1 Optional written test
- G
- U
Main rounds
57% passed · 212 students
- 29%34
- 58%31
- 63%48
- 73%59
- 48%40
Later rounds
No sittings with at least 5 students.
About the course
Aim
The student should after the course be able to:
- define, descirbe and combine basic analytical notions like indefinite- and definite integrals, Maclaurin- and Taylorpolynomials, differential equations,
- understand the content of most relevant theorems of analysis (like main theorem of analysis, main theorem of integral calculus, Taylor theorem),
- understand the ideas of proofs of some of these theorems,
- calculate integrals of various functions by an appropriate choice of integration method
- apply integral calculus for calculations of various geometric quantities (like area of figures or volume of three-dimensional objects) by choosing suitable methods,
- apply integral calculus for calculations of various features (like expecte value, standard deviation or quantiles) of one-dimensional continuous stochastic variables,
- approximate functions with Maclaurin- or Taylorpolynomials,
- handle some simple differential equations and apply them for mathematical modelling of simple systems.
Content
Primitive functions and basic integration methods. Definite integrals and main theorem of analysis. Geomtric applications of integral calculus. Application of integrals in statistics: evaluations of expected value, standard deviation and quantiles for continous stochastic variables. Approximation of functions through Maclaurin- and Taylorexpansions. Differential equations: first order separable and linear differential equations and linear differential equations of second order.
- Examiner
- Peter Holgersson
- Scheduled hours
- 70 h
- Main field of study
- Matematik, Tillämpad matematik