Courses persons responsible
Seppo Pohjolainen

Lecturers
Seppo Pohjolainen

Implementations

	Period 1	Period 2	Period 3	Period 4	Period 5	Summer
Exercise	-	2 h/week	2 h/week	-	-	-
Exam

(Timetable for academic year 2006-2007)

Content

Content	Core content	Complementary knowledge	Specialist knowledge
1.	Complex numbers and elementary functions. Complex plane and its topology. Complex functions.
2.	Analytical Fuctions. Cauchy-Riemann and Laplace equations.
3.	Complex Integral. Principle of argument. Taylor's and Laurent's series. Residue.
4.	Laplace-transform. Applications to engineering problems.

Requirements for completing the course
Examination

Evaluation criteria for the course

Study material

Type	Name	Auhor	ISBN	URL	Edition, availability...	Exam material	Language
Summary of lectures	Complex functions	Seppo Pohjolainen				No
Book	Complex Variables and Applications	Brown&Churchill	0-07-114065-4			No
Book	Complex Analysis for Mathematics and Engineering	Mathews& Howell				No

Prerequisites
Prequisite relations (Sign up to TUT Intranet required)

Additional information about prerequisites
Honour's mathematics 1-5 or Engineering Mathematics 1-5 or corresponding courses on basic mathematics.

Remarks

Distance learning

- In information distribution via homepage, newsgroups or mailing lists, e.g. current issues, timetables
- In distributing and/or returning exercise work, material etc
- In the visualization of objects and phenomena, e.g. animations, demonstrations, simulations, video clips
- In interaction and discussion, such as online discussions, chat

- Contact teaching: 50 %
- Distance learning: 10 %
- Proportion of a student's independent study: 40 %

Scaling

Methods of instruction	Hours
Lectures	63
Exercises	66
Total sum	129

Course homepage

Last modified	09.05.2006
Modified by	Emilia Ylirinne