Course content

Complex functions, complex integration, Laurent series and calculation of residues. The Laplace transform with applications to solving ordinary differential equations and integral equations. Introduction to linear second order partial differential equations. Fourier series and the Fourier transform with applications to solving linear partial differential equations.

Learning outcome

1. Knowledge. The student is able to recognize, understand and apply concepts and methods from complex function theory, the theory of Fourier series, Fourier transformation and Laplace transformation, and linear second order partial differential equations. In particular in connection with the solution of ordinary and partial differential equations.

2. Skills. The student is able to apply his or her knowledge of complex function theory, integral transformations, and differential equations to formulate and solve problems in mathematics and the natural sciences/technology, if necessary with the additional aid of mathematical software.

Learning methods and activities

Lectures, compulsory exercises. Parts of the course may be lectured in English.

Compulsory assignments

• Exercises

Recommended previous knowledge

The courses TMA4100/05/10/15 Mathematics 1/2/3; or the courses MA1101/2/3 and MA1201/2; or equivalent.

Course materials

Will be announced at the start of the semester.

Credit reductions