Bachelor Mathematics (621 [4] - Version 2021)

Group of Compulsory Modules "Core" (90 ECTS)

StEOP: Introduction to the Mathematical Method (16 ECTS)

• EXAM ON-SITE Introduction to mathematical methodology
• 250001 KO Tutorial for first semester students
• 250015 VO STEOP: Introduction to mathematical methodology
• 250016 UE [ de en ] STEOP: Exercises on Introduction to mathematical methodology
• 250031 OL Infoveranstaltung für Erstsemestrige
• 250150 KO [ en ] Mastering Math & Mind: Strategies for Learning and Staying on Track

IT Basics (2 ECTS)

• 250040 PR IT Basics

Introduction to Higher Mathematics (12 ECTS)

• 250011 VO Analysis 1
• 250012 PS [ en de ] Analysis and Linear Algebra 1
• 250013 VO Linear Algebra 1

Alternative Compulsory Module: Mathematical Programming (2 ECTS)

• 250014 VU Mathematical programming

Alternative Compulsory Module: Exercise for Advanced Students (2 ECTS)

• 250008 KU Tutorials for Analysis and Linear Algebra 1

Analysis 2 (10 ECTS)

Linear Algebra 2 (10 ECTS)

Discrete Mathematics and Computer Science (10 ECTS)

Algebra (10 ECTS)

• 250077 VO Algebra
• 250079 PS [ de en ] Algebra

Numerical Mathematics (10 ECTS)

• 250080 VO Numerical Mathematics
• 250082 PS [ de en ] Numerical Mathematics

Integration and Stochastics (10 ECTS)

• 250067 VO [ en ] Integration and Stochastics
• 250073 PS [ en de ] Integration and Stochastics

Group of Elective Modules "Foundation" (50 ECTS)

Complex and Harmonic Analysis (10 ECTS)

• 250018 VO Complex and Harmonic Analysis
• 250019 PS Complex and Harmonic Analysis

Topology and Functional Analysis (10 ECTS)

• 250020 VO Topology and Functional Analysis
• 250021 PS [ en de ] Topology and Functional Analysis

Analysis 3 (10 ECTS)

Probability Theory (10 ECTS)

Algebra 2 (10 ECTS)

Optimisation and Modelling (10 ECTS)

Differential Equations and Modelling (10 ECTS)

• 250022 VO Differential Equations and Modelling
• 250023 PS Differential Equations and Modelling

Group of Electives Modules "Specialisation" (30 ECTS)

Gender Aspects in Mathematics (5 ECTS)

Mathematical Logic (10 ECTS)

• 250046 VO [ en ] Mathematical Logic
• 250057 PS [ en ] Mathematical Logic

Geometry and Topology (10 ECTS)

Discrete Mathematics (5 ECTS)

Image and Signalprocessing (5 ECTS)

• 250133 VO Image and Signalprocessing

Variational Calculus (5 ECTS)

Partial Differential Equations (10 ECTS)

Numerical Methods for Ordinary and Partial Differential Equations (10 ECTS)

Number Theory (5 ECTS)

Cryptography (5 ECTS)

Commutative Algebra and Algebraic Geometry (5 ECTS)

• 250029 VO Commutative Algebra and Algebraic Geometry

Statistics and Data Science (10 ECTS)

Financial Mathematics (10 ECTS)

• 250037 VO Financial Mathematics
• 250038 PS Financial Mathematics

Biomathematics and Game Theory (5 ECTS)

Machine Learning (10 ECTS)

• 250039 VO Applied machine learning
• 250044 PS Applied machine learning

Dynamical Systems (5 ECTS)

Selected Topics from Probability Theory (10 ECTS)

Current Developments and Applications 1 (10 ECTS)

Current Developments and Applications 2 (5 ECTS)

• 250065 VU The art of problem solving

Compulsory Module Bachelor's Seminar (10 ECTS)

• 250004 SE Bachelor seminar