## Module Handbook

• Dynamischer Default-Fachbereich geändert auf MAT

# Module MAT-00-51-M-1

## Module Identification

Module Number Module Name CP (Effort)
MAT-00-51-M-1 Mathematics for Biophysics I 5.0 CP (150 h)
PHY-MBP1-M-1 Mathematics for Biophysics I 5.0 CP (150 h)

## Basedata

CP, Effort 5.0 CP = 150 h 1 Sem. in WiSe [1] Bachelor (General) [DE] German Fattler, Torben, Dr. (WMA | DEPT: MAT) Fattler, Torben, Dr. (WMA | DEPT: MAT) [MAT-Service] Mathematics for other Departments [PHY-82.681-SG] B.Sc. Biophysics [NORM] Active

## Courses

Type/SWS Course Number Title Choice in
Module-Part
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
2V+1U MAT-00-51-K-1
Mathematics for Biophysics I
P 42 h 108 h
U-Schein
ja PL1 5.0 WiSe
• About [MAT-00-51-K-1]: Title: "Mathematics for Biophysics I"; Presence-Time: 42 h; Self-Study: 108 h
• About [MAT-00-51-K-1]: The study achievement "[U-Schein] proof of successful participation in the exercise classes (ungraded)" must be obtained.
• It is a prerequisite for the examination for PL1.

## Examination achievement PL1

• Form of examination: written exam (Klausur) (120 Min.)
• Examination number: 81035 ("Mathematics for Biophysics I")

## Contents

• vector functions,
• functions in several variables,
• partial derivatives,
• the total derivative,
• extremal points and values for functions in several variables,
• extremal points and values under constraints,
• the curve integral,
• linear algebra in ℝn,
• curvilinear coordinates on ℝ³.

## Competencies / intended learning achievements

By means of exemplary calculations, the students should gain an understanding of basic mathematical facts and thus be able to solve scientific problems, especially in the field of biophysics, using the mathematical methods learned.

## Literature

• S. Großmann: Mathematischer Einführungskurs für die Physik;
• G. Merziger, T. Wirth: Repetitorium der Höheren Mathematik (Aufgabensammlung),
• T. Reißinger: Mathematik für Ingenieure.

None

None

## References to Module / Module Number [PHY-MBP1-M-1]

Course of Study Section Choice/Obligation
[PHY-82.681-SG] B.Sc. Biophysics [Fundamentals] Fundamentals of Mathematics for Biophysics [P] Compulsory