This entry is from Winter semester 2019/20 and might be obsolete. You can find a current equivalent here.

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

 Level, degree of commitment Basic module, compulsory elective module 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. 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 shall work on selected mathematical contexts and thereby gain confidence in the use of terms and models that are necessary for understanding the laws of nature and for scientific experimentation.

The aim is to enable students to independently apply the acquired mathematical skills in the course of their further education.

Students shall also be able to apply mathematical concepts to the problems and experiments of their main subject.

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.