Analytic Functions
Analytiska funktioner

FMA130F, 6 credits

Valid from: Autumn 2013
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

• in his/her own words be able to describe the concepts in the course and their properties.
• in his/her own words be able to explain the logical connections between the concepts (definitions, theorems and proofs).

Competences and Skills

For a passing grade the doctoral student must

• be able to show capability to identify problems which can be modelled with the concepts introduced in the course.
• be able to use the concepts in the course in problem solving.
• with proper terminology, in a well structured way and with clear logic be able to explain the solution to a problem.
• be able to show capability, in the context of problem solving, to develop the theory somewhat further.
• have developed his or her ability independently to read and judge mathematical text.

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: