Course Syllabus for

Analytic Functions
Analytiska funktioner

FMA131F, 6 credits

Valid from: Spring 2020
Decided by: FN1/Anders Gustafsson
Date of establishment: 2014-01-27

General Information

Division: Mathematics
Course type: Third-cycle course
Teaching language: English

Aim

The course is primarily intended to bridge the gap between the requirements of the course FMAF01 Analytic Functions and the prerequisites for standard postgraduate courses on analytic functions in one or several variables.

Goals

Knowledge and Understanding

For a passing grade the doctoral student must

Competences and Skills

For a passing grade the doctoral student must

Course Contents

Analytic continuation. Complex integration. The argument principle. Conformal mappings. Polynomials and their zeroes. Partial fractions, meromorphic functions. Infinite products. Ordinary differential equations. Integral transforms. Asymptotic methods. Potential theory.

Course Literature

Lecture notes.

Instruction Details

Type of instruction: Lectures

Examination Details

Examination formats: Written exam, oral exam
Grading scale: Failed, pass
Examiner:

Admission Details

Course Occasion Information

Contact and Other Information

Course coordinators:


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