The Mandatory Courses of the First Year

Analysis I und II

The lectures Analysis I and II introduce students to one- and multidimensional calculus. Particular emphasis is placed on the theory of ordinary differential equations and on vector calculus. Both are of fundamental importance for applications in the natural sciences, especially physics. The basic ideas in calculus are based on different concepts of boundary processes.

Linear Algebra I and II

In Linear Algebra I and II, the basic concepts of algebra based on the theory of linear equation systems, which is very important for mathematics as well as physics, are introduced. Especially important are the terms of vector space and linear image. Additionally, students should become familiar with matrix calculus.

Computer Science

The lecture in Computer Ccience introduces the basics of programming in a modern programming language. Just as computer science is becoming increasingly important in natural sciences, it is in mathematics.

Numerical Analysis I

In the lecture Numerical Analysis I methods for numerical solutions of mathematical problems and their implementation on the computer are taught.

Physics I and II

The lecture Physics I and II treats material from classic experimental physics, e.g. mechanics and heat, oscillation and waves, electricity and magnetism. The theoretical elaboration of these problems deepens the understanding of the terms learned in Analysis and Linear Algebra. Through demonstrations of experiments the notion in physics is trained.