TNA003 · 6 credits · Basic level (G1F) · Matematik, Tillämpad matematik
Calculus I
Active · next start VT 2027
46%
passed the latest ordinary exam
TEN1 · 20 Mar 2026 · 95 students
42%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 578 students
95%
Harder than 95% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 188 students.
Part of 4 programmes
Exam
TEN1 Written exam
- 5
- 4
- 3
- U
Ordinary exams
42% passed · 578 students
- 46%95
- 38%93
- 53%121
- 37%126
- 38%143
Re-exams
21% passed · 446 students
- 4%26
- 17%41
- 10%40
- 13%54
- 16%37
- 36%47
- 32%34
- 21%62
- 7%30
- 35%75
- Pass the re-exam: 21% (446 students), compared with 42% (578 students) on the ordinary exam
- Get 4 or 5: 8% (1,024 students)
Other modules
Partial exams, hand-ins and labs. They are not part of the figures at the top.
Hand-in or lab
UPG1 Optional assignment
- G
- U
Main rounds
92% passed · 212 students
- 93%103
- 92%109
Later rounds
No sittings with at least 5 students.
Other module
KTR1 Optional examinations
- D
- U
Main rounds
85% passed · 259 students
- 89%148
- 79%111
Later rounds
No sittings with at least 5 students.
Other module
KTR2 Optional examination
- G
- U
Main rounds
72% passed · 225 students
- 92%72
- 49%75
- 74%78
Later rounds
No sittings with at least 5 students.
Other module
KTR3 Optional examination
- G
- U
Main rounds
67% passed · 204 students
- 77%69
- 57%51
- 65%84
Later rounds
No sittings with at least 5 students.
About the course
Aim
To give basic proficiency in mathematical concepts, reasoning and relations contained in single-variable calculus. To provide the skills in calculus and problem solving required for subsequent studies. After a completed course, the student should be able to
- read and interpret mathematical text
- quote and explain definitions of concepts like local extremum, limit, continuity, derivative, antiderivative and integral
- quote, explain and use central theorems such as the first and second fundamental theorem of calculus, the mean value theorems, the intermediate value theorem, the extreme value theorem
- use rules for limits, derivatives, antiderivatives and integrals
- carry out examinations of functions, e.g., using derivatives, limits and the properties of the elementary functions, and by that means draw conclusions concerning the properties of functions
- use standard techniques in order to determine antiderivatives and definite integrals
- investigate improper integrals with antiderivatives
- compare sums and integrals
- perform routine calculations with confidence
- carry out inspections of results and partial results, in order to verify that these are correct or reasonable
Content
Functions of a real variable. Limits and continuity. Derivatives. Rules of differentiation. Properties of differentiable functions. Derivative and monotonicity. Graph sketching, tangents and normals, asymptotes. Local and global extrema. Derivatives of higher order. Convex and concave functions. How to find primitive functions. The Riemann integral. Definition and properties. Connection between the definite integral and primitive function. Methods of integration. Improper integrals. Sums and integrals.
- Examiner
- Olof Svensson
- Scheduled hours
- 84 h
- Main field of study
- Matematik, Tillämpad matematik