Module MA2328: Complex Analysis
- Credit weighting (ECTS)
- 5 credits
- Semester/term taught
- Hilary term 2018-19
- Contact Hours
- 11 weeks, 3 lectures per week
- Lecturer
- Prof Marius de Leeuw
- Learning Outcomes
- On successful completion of this module, students will be able to:
- Use basic theorems on complex sequences and series, with a particular emphasis on power series. Calculate coefficients and radii of convergence of power series using these theorems.
- Demonstrate a familiarity with the basic properties of analytic functions. Apply these theorems to simple examples.
- State correctly the theorems of Cauchy and Morera. Calculate, using Cauchy's theorem and its corollaries, the values of contour integrals.
- Prove and apply properties of important examples of analytic functions, including rational functions, the exponenttial and logarithmic functions, trigonometric and hyperbolic functions and elliptic functions.
- Module Content
- Aims to introduce complex variable theory and reach the residue theorem, applications of that to integral evaluation.
- Power series
- Analytic functions
- Complex Integration
- Residue calculus
- Elliptic functions
- Module Prerequisite
- Introduction to Set Theory and General Topology (MA1126) or MA2321 Analysis in Several Real Variables
Assessment Detail