TAIU10 · 12 credits · Basic level (G1N) · Matematik, Tillämpad matematik
Calculus
Active · next start HT 2026
65%
passed the latest ordinary exam
TEN1 · 30 Oct 2025 · 186 students
68%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 897 students
73%
Harder than 73% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 391 students.
Part of 5 programmes
Exam
TEN1 Written examination
- 5
- 4
- 3
- U
Ordinary exams
68% passed · 897 students
- 65%186
- 64%205
- 69%167
- 73%171
- 68%168
Re-exams
36% passed · 353 students
- 30%23
- 43%61
- 38%34
- 37%52
- 9%22
- 40%40
- 46%24
- 21%42
- 25%12
- 51%43
- Pass the re-exam: 36% (353 students), compared with 68% (897 students) on the ordinary exam
- Get 4 or 5: 26% (1,250 students)
Other modules
Partial exams, hand-ins and labs. They are not part of the figures at the top.
Exam
TEN2 Written examination
- 5
- 4
- 3
- U
Ordinary exams
68% passed · 752 students
- 63%165
- 74%168
- 58%136
- 80%158
- 61%125
Re-exams
52% passed · 355 students
- 57%23
- 66%56
- 35%17
- 41%46
- 57%28
- 55%53
- 50%18
- 49%43
- 50%28
- 49%43
- Pass the re-exam: 52% (355 students), compared with 68% (752 students) on the ordinary exam
- Get 4 or 5: 25% (1,107 students)
Other module
KTR1 Examination
- 3
- U
Main rounds
54% passed · 881 students
- 52%186
- 45%188
- 60%188
- 64%153
- 51%166
Later rounds
No sittings with at least 5 students.
Other module
KTR2 Examination
- 3
- U
Main rounds
61% passed · 819 students
- 69%181
- 57%166
- 61%170
- 60%138
- 57%164
Later rounds
No sittings with at least 5 students.
Other module
KTR3 Examination
- 4
- 3
- U
Main rounds
53% passed · 634 students
- 57%153
- 56%147
- 47%118
- 56%123
- 47%93
Later rounds
No sittings with at least 5 students.
- Get 4: 21% (634 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%1
About the course
Aim
That you, as a student, must acquire the familiarity with mathematical concepts, reasoning and relationships that are contained within univariate analysis, as well as the skills in calculation and problem solving that are needed for further studies.
This includes
- read and interpret mathematical text.
- explain definitions and concepts related to the course.
- explain and use central theorems within the course.
- present and justify solutions using relevant concepts and clear reasoning.
- perform checks on results and sub-results to verify that these are correct or reasonable.
Content
Algebraic operations. Equations and systems of equations. Geometric and arithmetic sum. Differences. Absolute amount. The Binomial Theorem.
Exponential functions and logarithms. Polynomial. Trigonometry and trigonometric functions. Arc functions.
Real and complex numbers. Euler's and deMoivre's formulas. Functions of a real variable. Elementary functions.
Number sequences, limit value. Standard limits.
Derivatives and Continuity. Derivation rules. Properties of continuous functions. Functional studies.
Primitive functions. Integration with geometric applications, including area, arc length, area of rotation, volume of rotation. Generalized integrals.
Taylor's formula. Maclaurin development of elementary functions with applications to boundary value calculations.
Linear ordinary differential equations of first and second order, separable differential equations
- Examiner
- Magnus Berggren
- Scheduled hours
- 202 h
- Main field of study
- Matematik, Tillämpad matematik