Third-Cycle Courses

Faculty of Engineering | Lund University

Details for the Course Syllabus for Course FMA131F valid from Spring 2020

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  • English
  • Once every semester
  • 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.
  • 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.
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.
Judgement and Approach
  • For a passing grade the doctoral student must
Types of Instruction
  • Lectures
Examination Formats
  • Written exam
  • Oral exam
  • Failed, pass
Admission Requirements
Assumed Prior Knowledge
Selection Criteria
  • Lecture notes.
Further Information
Course code
  • FMA131F
Administrative Information
  •  -01-27
  • FN1/Anders Gustafsson

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