Fundamentals of Mathematics for Geosciences II

Multivariable functions, scalar and vector fields
Partial derivatives
Vector analysis
Multiple integrals
Partial differential equations (basic definitions)
Complex numbers
Fourier series I
Fourier series II
Statistical tests I
Statistical tests II
Correlation and regression I
Correlation and regression II
Cluster analysis
Exam preparation

1) Students can solve basic mathematical tasks and problems related to geosciences
2) Students can use special mathematical methods which are important for the geoscientific working practice
3) Students have a basic understanding of mathematical modelling of simple physical or geoscientific problems
4) Students can apply statistical methods to geoscientific data

Written exam

Klausur

1) Swan & Sandilands: Introduction to Geological Data Analysis, Blackwell; Lozán & Kausch: Angewandte Statistik für Naturwissenschaftler, Parey

1st SWS: Multivariable functions, scalar and vector fields
2nd SWS: Partial derivatives
3rd SWS: Vector analysis
4th SWS: Multiple integrals
5th SWS: Partial differential equations (basic definitions)
6th SWS: Complex numbers
7th SWS: Fourier series I
8th SWS: Fourier series II
9th SWS: Statistical tests I
10th SWS: Statistical tests II
11th SWS: Correlation and regression I
12th SWS: Correlation and regression II
13th SWS: Cluster analysis
14th SWS: Exam preparation