MATA200 Complex Calculus (5 cr)

Open the course unit brochure on Sisu
Study level:
Intermediate studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023

Description

Complex numbers, functions of one complex variable (polynomials, exponential function, trigonometric functions, logarithm), complex derivative and holomorphic functions, complex integration, Cauchy's integral formula, residue theorem, basics of conformal mapppings

Learning outcomes

After completing the course, the student:
  • is able to apply the basic arithmetic, algebraic and geometric properties of complex numbers
  • knows elementary complex functions and their basic properties
  • knows analytical functions and their basic properties
  • can use complex integration and apply both Cauchy integral formula and the Residue theorem
  • can solve simple conformal mapping problems

Additional information

Opintojakso on laskennallisempi kuin syventävät kurssit Kompleksianalyysi 1-2.

Description of prerequisites

Calculus 2 or equivalent knowledge

Study materials

Zill & Shanahan: A First Course in Complex Analysis with Applications

Completion methods

Method 1

Evaluation criteria:
Grading is based on points from course exam and the weekly exercises
Select all marked parts

Method 2

Evaluation criteria:
The grading is based on points from the final exam
Select all marked parts
Parts of the completion methods
x

Teaching (5 cr)

Type:
Participation in teaching
Grading scale:
0-5
Evaluation criteria:
Course exam and homework
Language:
Finnish
Study methods:

Lectures 30 h (in Finnish), 7 sets of homework

Teaching

x

Exam (5 cr)

Type:
Exam
Grading scale:
0-5
Evaluation criteria:
Final exam
Language:
English, Finnish
Study methods:

Independent study and Final exam

Teaching