TATA41 · 6 credits · Basic level (G1F) · Matematik, Tillämpad matematik
Calculus in One Variable 1
Active · next start HT 2026
36%
passed the latest ordinary exam
TEN1 · 25 Mar 2026 · 728 students
36%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 3,614 students
98%
Harder than 98% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 1,497 students.
Part of 4 programmes
Exam
TEN1 Written examination
- 5
- 4
- 3
- U
Ordinary exams
36% passed · 3,614 students
- 36%728
- 36%769
- 43%690
- 29%733
- 36%694
Re-exams
40% passed · 6,023 students
- 30%362
- 31%444
- 52%449
- 32%371
- 30%503
- 54%457
- 41%381
- 29%421
- 49%378
- 40%308
- 39%432
- 48%414
- 27%280
- 39%446
- 51%377
- Pass the re-exam: 40% (6,023 students), compared with 36% (3,614 students) on the ordinary exam
- Get 4 or 5: 12% (9,637 students)
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
About the course
Aim
After completing the course, the student should be able to
- choose and apply methods to problems in both parts I and II 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 I - Differential Calculus
Functions of a real variable. Limits: definition, calculation and standard limits. Continuity. Properties of continuous functions. Derivative. Derivation rules. Derivatives of elementary functions. Properties of differentiable functions. Curve drawing, tangent and normal, asymptotes. Local and global maxima and minima. Higher order derivative. Applications of differential calculus.
Part II - Integral calculus
Primitive functions. Default primitives. Partial integration and variable exchange. Primitives to rational functions, functions containing certain root expressions and trigonometric functions. The Riemann integral: definition and properties. The main theorem of analysis and integration of continuous functions. Integration methods. Generalized integrals: definition and calculation. Estimates of sums and integrals.
- Examiner
- Magnus Herberthson, Mikael Langer, Fredrik Andersson, Erik Darpö
- Scheduled hours
- 60 h
- Main field of study
- Matematik, Tillämpad matematik