CDs, DVDs, computer games, clinical studies, statistical surveys, the management of traffic jams, risk evaluations for insurance, early-warning systems for the finance market, encryption technologies, and the simulations of geological phenomena – they all have one thing in common: mathematics!Our daily life would completely different without mathematics and many products and services wouldn't even exist.Scientific disciplines also call up mathematics to use structured arithemetic techniques to find solutions for complex problems. Mathematicians develop highly complex problem situations and structures within the interdisciplinary interaction of disciplines. In doing so, they obtain a deep understanding for the observed systems.Furthermore they support every step of a solution with analysis and prognosis methods, and primarily simulation processes. With these processes they create predictable models, which are verifiable and can replace lengthy, expensive test series.
In order to reflect the diverse challenges, RWTH gives its mathematicians application-oriented training. After completing an intensive and demanding core curriculum, students have access to fields where mathematical methods are applied, for example the natural sciences and engineering.After completion of the core curriculum, RWTH's mathematics program offers a comprehenisive range of elective modules, with which students can create their own individual profile starting in the fourth semester. The module catalogue reflects the extraordinarily broad research spectrum of the RWTH Department of Mathematics. The wide range of topics on offer includes differential equations, optimization, statistics, computer algebra, graph theory, uncertainty quantification, and numerical analysis.
The Aachen mathematics course of study's high practical relevance is evident in the application subjects, which accompany the mathematics training starting right in the first semester and make up about 20 percent of the curriculum:
The combination of a high theoretical niveau and practical implementation ensures RWTH graduates possess profound methodological skills.
The curriculum content at the beginning of students' studies ensures students learn theoretical and mathematical fundamentals. The goal is to learn correct logical reasoning and diverse proof methods.Weekly exercises encourage students to apply mathematical processes to problems.Intensively supervised small groups support this learning process and promote teamwork. Seminars provide the opportunity for students to work together for a longer period of time on the current topic and to strengthen contact to the academic small groups. The concluding Bachelor's thesis offers the opportunity to independently work on a mathematical topic and appropriately present it.
Example Course of Study Layout (varies, depending on application subjects)
|1||Analysis I||Linear Algebra I||Mathematics Remedial Course||Accompanying Internship I||Modules from the Selected Application Subject|
|2||Analysis II||Linear Algebra II||Stochastics I||Accompanying Internship II|
|3||Analysis III||Numerical Analysis I||Stochastics II||C++ Course|
|4||Elective||Numerical Analysis II||Numerical Analysis Practical||Elective|
Mathematicians are in high demand in the job market! Statistics have shown that they are sought after and valued as generalists in diverse fields. In addition to having completed a demanding course of study, graduates are qualified for abstract, structural thinking and quick incorporation. They are equipped to solve problems stemming from the natural sciences, engineering, social sciences, and business and economics.For example, mathematicians work on calculations and simulations of technical innovations in the development departments of all technology sectors. Insurance and banking also offer good entry-level opportunities. Here mathematicians primarily work on market development prognoses, rational risk estimation, and the evaluation of economic options.
In corporate consulting mathematicians are view as problem solvers, who often open up new paths with their logical thinking, exact analyses, and reliable predictions. One should not forget that mathematics is not only an exact science, but also a creative one. Mathematicians are unconventional thinkers, who are often used to solve Gordian knots.
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