Program Overview

Mathematik (M.Sc.)

The Master of Science in Mathematics program is designed to provide students with a comprehensive education in mathematics, covering both theoretical and applied aspects of the field.

Zahlen & Fakten

• Abschluss: Master of Science
• Zulassungsbedingungen: Zulassungsfrei
• Regelstudienzeit: 4 Semester
• Hauptunterrichtssprache: Deutsch und Englisch
• Gesamtes Studium in englischer Sprache m鐷lich
• Studienbeginn: Sommer- und Wintersemester
• Credit Points/Leistungspunkte: 120 ECTS

Profil

The program focuses on providing a logical and clear understanding of mathematical concepts, enabling students to grasp complex relationships, connections, and inner structures. It aims to develop a high level of abstraction and the ability to develop problem-solving strategies for various types of problems.

As a mathematician, graduates will not be limited to specific tasks but will be able to bridge gaps to other fields and approach questions from a different perspective. The Master of Science program covers content from both pure and applied mathematics, offering a range of specializations that allow for individual study planning. These specializations include areas such as algebra, algebraic curves and Riemann surfaces, computer algebra, function theory, topology, number theory, functional analysis, differential geometry, differential equations, numerics, stochastics, manifolds, and vector analysis, as well as data structures and efficient algorithms.

The program has been extensively modernized and internationalized, with the possibility of completing the entire study in English. However, it remains strongly rooted in the German-speaking teaching tradition, offering a broad range of German-language courses.

Zugangsvoraussetzungen

The formal admission requirements for the Master of Science in Mathematics include:

• Proof of a Bachelor's degree in mathematics with at least a grade of "satisfactory" or an equivalent degree.
• At least 100 LP (credit points) in the areas of analysis, linear algebra and geometry, stochastics, and numerics (including practical courses).
• If the corresponding services are not fully proven (100 LP), but at least 79 LP, enrollment is possible. However, the obligation applies to prove the still missing services in the above-mentioned areas by the end of the first year of study.

If the certificate of the Bachelor's degree is not yet available at the time of application, but at least 135 credit points have been acquired in the Bachelor's program, application is possible with a certificate of all services taken so far, including the average grade achieved so far. This certificate must be issued by the responsible university (certified copy).

For study applicants who have not acquired their university entrance qualification at a German-speaking institution or have not completed a degree in a German-speaking study program, proof of English language skills is required. English language skills must be proven at least at level B2. The proof can be provided until the end of the first semester after enrollment at JGU.

Studienaufbau

The Master's program in Mathematics at JGU is divided into five sections:

1. Aufbau (Foundation): Students choose from different subfields of mathematics and must cover two of the areas (A) Algebra, Algebraic Topology, Algebraic Geometry, Number Theory; (B) Differential Equations, Global Analysis, Complex Analysis, Functional Analysis, Differential Geometry, Mathematical Physics; (C) Numerics, Stochastics.
2. Vertiefung (Specialization): Students select from various cycles that each encompass a special field of mathematics. This serves both for individual specialization and as preparation for the Master's thesis.
3. Erg鄚zung (Supplement): This area provides knowledge in fields that do not fall into the student's personal specialization. It also familiarizes students with current research topics and gives insights into the latest scientific results.
4. Nebenfach (Minor): By choosing a minor, students gain insights into another scientific discipline and learn how mathematics is applied in other fields.
5. Abschluss (Completion): The final part of the study consists of the written preparation of a Master's thesis and a subsequent oral examination.

Berufsfelder

Graduates of the Master of Science in Mathematics are qualified for various professional fields, including:

• Bank and credit industry
• Insurance industry
• Public administration
• Computer industry
• Consulting
• Research centers
• Education and science

They are equipped with the ability to grasp complex connections in detail and are particularly trained in analytical thinking. Beyond being skilled in calculations or numerical operations, they can develop problem-solving strategies and apply them creatively to different issues.