Functions of a Complex Variable
Objectives and Content
Some theory of analytic functions of one complex variable, complex integrals, series of Taylor and Laurent, many-valued functions, calculus of residues.
After completed course, the students are expected to be able to
- Parametrize curves in the complex plane and integrate complex functions along such curves.
- Use elementary analytic functions like the exponential and logarithmic functions, trigonometric functions, polynomials and rational functions.
- Use residue calculations as integration method and find the Taylor or Laurent series of a given function.
- Attain insight in the problem of multiple solutions of the complex logarithm and the square root.
- Describe the maximum principle, Liouville's theorem and the fundamental theorem of algebra.
- Know the properties of elementary mappings such as the linear fractional transformation.
Required Previous Knowledge
Recommended Previous Knowledge
MAT112 Calculus II
Credit Reduction due to Course Overlap
M113: 9 ECTS
Compulsory Assignments and Attendance
Forms of Assessment
Written examination: 4 hours
Available aids: None
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.
For written exams, please note that the start time may change from 09:00 to 15:00 or vice versa until 14 days prior to the exam.
Type of assessment: Written examination
- 02.06.2023, 09:00
- 4 hours
- Withdrawal deadline
- Examination system
- Digital exam
- Damsgårdsveien 125, DAM 2. etg.