# Mathematics for Students of Biomedical Science (dt. Mathematik für Studierende der Humanbiologie)

 Level, degree of commitment Basic module, depends on importing study program Forms of teaching and learning,workload Lecture (2 SWS), recitation class (2 SWS), 180 hours (60 h attendance, 120 h private study) Credit points,formal requirements 6 CP Course requirement(s): Successful completion of at least 50 percent of the points from the weekly exercises. Examination type: Written examination Language,Grading German,The grading is done with 0 to 15 points according to the examination regulations for the degree program B.Sc. Mathematics. Origin Export only modules Duration,frequency One semester, each winter semester Person in charge of the module's outline Dr. Dorothea Strauer

## Contents

• Basics: Properties of real numbers, incl. absolute and relative errors; systems of linear equations; sequences and functions;

• Stochastics/statistics: Basic notions; evaluating data with summary statistics, contingency tables, and graphs; Kolmogorow axioms, probability density and cumulative distribution function; Bernoulli, binomial, Poisson and normal distribution incl. parameter estimation; statistical hypothesis testing, incl. tests for normal distribution, chi-squared tests, and sign tests;

• Applied analysis: Application of differentiation and integration, e.g. extrema, propagation of uncertainty, mean value theorems; discrete and continuous growth models, in particular linear, exponential, logistic, and allometric growth; adaptation of a function to a table of values by means of linear regression, also to other function classes.

## Qualification Goals

Students have gained confidence in using concepts and models necessary for an understanding of the laws of nature and scientific experimentation by working through selected relationships from mathematics.

Students will be able to independently apply the mathematical skills they have acquired as they continue their education.

Students will also be able to apply mathematical concepts in the area of inquiry and experimentation in their major.

None.

## Applicability

This module is an export-only module, and can as such only be used in other study programs, not in B.Sc. Mathematics.