Courses: MAT213 Functions of a Complex Variable - Spring 2017
Credits
10.0
Language of Instruction
English
Teaching semester
Spring
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.
Learning Outcomes
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 algorithm 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
None
Recommended Previous Knowledge
MAT112 Calculus II
Compulsory Assignments and Attendance
Forms of Assessment
Written examination: 5 hours
Available aids: None
Grading Scale
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.