Syllabus

LEARNING OUTCOMES

After passing the course the student will
- be able to make use of complex numbers in solving geometric problems
- be able to solve mapping problems in the plane
- recognize behavior of complex functions
- be able to interprete basic properties of analytic functions
- be able calculate real integrals by making use of complex integrals

Credits: 5

Schedule: 24.10.2022 - 05.12.2022

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Björn Ivarsson

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content

• valid for whole curriculum period:

  The interpretation and use of complex numbers, analytic function, conformality, harmonic function, basic complex functions, line integrals, sequences and series, Cauchy formula and its consequences.

Assessment Methods and Criteria

• valid for whole curriculum period:

  lectures, exercises and course exam OR exam only

Workload

• valid for whole curriculum period:

  24+24 (4+4).

DETAILS

Substitutes for Courses

• valid for whole curriculum period:

  Substitutes for Courses

Prerequisites

• valid for whole curriculum period:

  Prerequisites

FURTHER INFORMATION

Further Information

• valid for whole curriculum period:

  Teaching Language : English

  Teaching Period : 2022-2023 Autumn II
  2023-2024 Autumn II

  Enrollment :

  Registration takes place in Sisu (sisu.aalto.fi).

Description