Program Overview

Bachelor of Science in Mathematics

The Bachelor of Science in Mathematics is a comprehensive program that delves into the study of abstract structures and their inner connections, utilizing logical thinking to explore these concepts. Mathematics, as a scientific discipline, encompasses two primary areas: abstract and applied mathematics. The former includes Algebra, Analysis, Geometry, Topology, and Number Theory, while the latter comprises Numerical Mathematics, Mathematical Optimization, and Stochastics.

Program Overview

During the course of study, students acquire a broad range of mathematical expertise and learn typical mathematical methods. Additionally, they develop valuable skills such as analytical thinking, systematic and creative problem-solving, and precise operation. These skills are highly sought after in various professional fields.

Courses and Modules

The program is structured into several components, including obligatory modules, mathematical modules of choice, a minor subject, seminars, and a Bachelor thesis.

Obligatory Modules (86 ECTS)

• Analysis I/II (18 ECTS)
  • Analysis I (9 ECTS)
  • Analysis II (9 ECTS)
• Linear Algebra I/II (18 ECTS)
  • Linear Algebra I (9 ECTS)
  • Linear Algebra II (9 ECTS)
• Applied Mathematics I (18 ECTS)
  • Computer-based Mathematics (4.5 ECTS)
  • Mathematical Modelling (4.5 ECTS)
  • Numerical Analysis (9 ECTS)
• Analysis III (9 ECTS)
  • Ordinary Differential Equations (4.5 ECTS)
  • Measure Theory (4.5 ECTS)
• Algebra I (9 ECTS)
• Probability Theory (4.5 ECTS) and Statistics (4.5 ECTS)
• Applied Mathematics II (5 ECTS)
  • Numerics of Ordinary Differential Equations (5 ECTS)
  • Optimization I (5 ECTS)

Mathematical Modules of Choice (36 - 54 ECTS)

Students must choose mathematical modules of choice to the extent of at least 36 ECTS, with the option to choose additional 18 ECTS from further mathematical or non-mathematical courses. The selection must cover two of the following areas of specialization (excluding the combination of Stochastics and Statistics):

• Analysis and Numerical Analysis
  • Functional Analysis (5 ECTS)
  • Theory and Numerics of Partial Differential Equations (9 ECTS)
• Geometry and Algebra
  • Algebra II (5 ECTS)
  • Algorithmic Algebraic Geometry (9 ECTS)
• Stochastics
  • Functional Analysis (5 ECTS)
  • Stochastic Processes (4.5 ECTS)
  • Stochastic Analysis (4.5 ECTS)
• Statistics
  • Functional Analysis (5 ECTS)
  • Mathematical Statistics I (9 ECTS)
• Differential Geometry
  • Ordinary Differential Equations with Applications to Geometry (5 ECTS)
  • Differential Geometry I (9 ECTS)

Additional modules of choice that can be selected include:

• Complex Analysis (5 ECTS)
• Optimization I (5 ECTS)
• Numerics of Ordinary Differential Equations (5 ECTS)
• Functional Analysis (5 ECTS)
• Algebra II (5 ECTS)
• Algebraic Number Theory (5 ECTS)
• Theory and Numerics of Partial Differential Equations (9 ECTS)
• Algorithmic Algebraic Geometry (9 ECTS)
• Stochastic Processes (4.5 ECTS)
• Stochastic Analysis (4.5 ECTS)
• Mathematical Statistics I (9 ECTS)
• Differential Geometry I (9 ECTS)
• Ordinary Differential Equations with Applications in Geometry (5 ECTS)

Minor Subject (18 - 36 ECTS)

Students must obtain 18 ECTS in a non-mathematical subject, which can be chosen from areas such as:

• Biology
• Chemistry
• Computer Science
• Life Science
• Philosophy
• Physics
• Linguistic
• Economics

Seminars and Bachelor Thesis (22 ECTS)

The program includes participation in a proseminar (3 ECTS), a main seminar (4.5 ECTS), and the completion of a Bachelor thesis (14.5 ECTS), which requires a presentation on the thesis topic.