Student Pages
Undergraduate course

Functions of a Complex Variable

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

Teaching semester


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


Recommended Previous Knowledge

MAT112 Calculus II

Compulsory Assignments and Attendance


Forms of Assessment

Written examination: 5 hours

Available aids: None

Due to the measures taken to avoid the spread of SARS-CoV-2, UiB is closed for teaching and assessment. As a consequence, the following changes is made to assessment spring semester 2020:

  • Grading scale ¿Pass/Fail¿ instead of ¿A-F¿
  • Written home examination instead of written examination

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.


Contact Information


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. Autumn 2020 written exams will be arranged either at home or on campus. Please see course information on MittUiB.

  • Type of assessment: Written examination

    22.09.2020, 09:00
    5 hours
    Withdrawal deadline
    Examination system
    Digital exam