Home
Student Pages
Undergraduate course

Functions of a Complex Variable

  • ECTS credits10
  • Teaching semesterSpring
  • Course codeMAT213
  • Number of semesters1
  • LanguageEnglish
  • Resources

Main content

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 logarithm 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

NoneĀ 

Recommended Previous Knowledge

MAT112 Calculus II

Credit Reduction due to Course Overlap

M113: 9 ECTS

Compulsory Assignments and Attendance

Excercises

Forms of Assessment

Written examination: 5 hours

Available aids: None

The following changes is made to assessment spring semester 2021:

  • Written home examination instead of written examination on campus

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.

Exam information

  • For written exams, please note that the start time may change from 09:00 to 15:00 or vice versa until 14 days prior to the exam.

  • Type of assessment: Written examination

    Date
    30.09.2021, 09:00
    Duration
    5 hours
    Withdrawal deadline
    16.09.2021
    Examination system
    Inspera
    Digital exam