TATA45 · 6 credits · Basic level (G2F) · Matematik, Tillämpad matematik
Complex Analysis
Active · next start HT 2026
42%
passed the latest ordinary exam
TEN1 · 12 Jan 2026 · 148 students
48%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 628 students
93%
Harder than 93% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 269 students.
Part of 4 programmes
Exam
TEN1 Written examination
- 5
- 4
- 3
- U
Ordinary exams
48% passed · 628 students
- 42%148
- 52%121
- 46%148
- 53%113
- 48%98
Re-exams
31% passed · 483 students
- 11%53
- 44%66
- 38%39
- 20%41
- 30%43
- 39%59
- 37%41
- 33%49
- 24%41
- 29%51
- Pass the re-exam: 31% (483 students), compared with 48% (628 students) on the ordinary exam
- Get 4 or 5: 11% (1,111 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 Assignments
- G
- U
Main rounds
73% passed · 401 students
- 82%139
- 64%114
- 72%148
Later rounds
No sittings with at least 5 students.
Hand-in or lab
UPG2 Optional Assignments
- G
- U
Main rounds
77% passed · 352 students
- 92%129
- 62%100
- 73%123
Later rounds
No sittings with at least 5 students.
Hand-in or lab
UPG3 Optional Assignments
- G
- U
Main rounds
77% passed · 290 students
- 80%107
- 73%79
- 77%104
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 I-III of the course, as they are described in the course content
- present and justify solutions to tasks within the course content using relevant concepts and clear reasoning
Content
Part I: Numbers, Functions and Images Complex numbers and functions. Limits, continuity and derivatives. Analytical and harmonic functions. Elementary functions. Conformal mapping, especially Möbius mapping.
Part II: Integrals and Series Complex curve integrals. Primitive functions. Cauchy's integral theorem and integral formula. The maximum principle. Numerical series and power series. Taylor and Laurent series. Zero points and singularities.
Part III: Residual calculus and the argument principle Residues and the residue clause. Integrals of trigonometric and rational functions. Fourier-type integrals. Indented contours and keyhole contours. The argument principle and Rouché's theorem.
- Examiner
- Lars Alexandersson
- Scheduled hours
- 60 h
- Main field of study
- Matematik, Tillämpad matematik