TATB08 · 6 credits · Basic level (G1F) · Matematik, Tillämpad matematik
Calculus in One Variable 2
Active · next start VT 2027
86%
passed the latest ordinary exam
TEN1 · 5 Jun 2026 · 332 students
81%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 618 students
46%
Harder than 46% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 618 students.
Part of 3 programmes
Exam
TEN1 Written examination
- 5
- 4
- 3
- U
Ordinary exams
81% passed · 618 students
- 86%332
- 75%286
Re-exams
45% passed · 155 students
- 56%62
- 64%28
- 26%65
- Pass the re-exam: 45% (155 students), compared with 81% (618 students) on the ordinary exam
- Get 4 or 5: 32% (773 students)
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 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
99% passed · 626 students
- 98%321
- 99%305
Later rounds
100% passed · 40 students
- 100%11
- 100%5
- 100%24
- Pass a later round: 100% (40 students), compared with 99% (626 students) on the ordinary exam
Show small sittings (2)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%2
- 100%1
Other module
KTR2 Optional digital test
- G
- U
Main rounds
97% passed · 648 students
- 98%323
- 96%325
Later rounds
No sittings with at least 5 students.
Other module
KTR3 Optional digital test
- G
- U
Main rounds
99% passed · 639 students
- 100%326
- 98%313
Later rounds
No sittings with at least 5 students.
Other module
KTR1 Optional digital test
- G
- U
Main rounds
94% passed · 634 students
- 98%324
- 89%310
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 in all parts A-D of the course, as described in the course content
- present and justify solutions to tasks within the course content using relevant concepts and clear reasoning
Content
Part A: Taylor and Maclaurin expansionTaylor's theorem. Expansion of elementary functions. Standard expansions. Applications include calculation of limits and investigation of local extreme values.
Part B: Generalized integrals and numerical seriesConvergence investigations and elementary estimates. Absolute convergence.
Part C: Ordinary Differential Equations and Integral EquationsFirst order linear and separable equations. Integral equations. Linear equations of higher order with constant coefficients.
Part D: Integral ApplicationsCurve length. Area of flat surfaces. Volume of bodies of revolution. Area of surfaces of revolution.
- Examiner
- Tomas Sjödin
- Scheduled hours
- 48 h
- Main field of study
- Matematik, Tillämpad matematik