Qualification targets Master Mathematics (120 ECTS)

Scientific qualification

Qualification target	Implementation	Target achievement
Graduates are trained in analytical thinking, possess a strongly developed capacity for abstraction, universally applicable problem-solving skills and the ability to structure complex contexts.	Lectures with exercises, seminars, working groups, thesis	Exercises, written examinations, individual oral examinations, presentations, thesis
Graduates are able to independently familiarise themselves with current research areas in mathematics with the help of specialist literature.	Seminars, working groups, thesis	Presentations, thesis
Graduates are able to present their knowledge, ideas and problem solutions on complex issues to a professional audience in a comprehensible way.	Seminars, working groups, exercises	Presentations, presentation of the solution of exercises
Graduates possess the subject knowledge, ways of thinking and working, and methodological skills required for independent academic work, especially for doctoral studies.	Seminars, working groups, lectures, exercises, thesis	Presentations, exercises, examinations, individual oral examinations, thesis
Graduates know the rules of good scientific practice and are able to observe them in extensive work.	Thesis	Thesis
Graduates possess advanced knowledge of current areas of mathematics and can confidently handle advanced methods of these areas.	Seminars, working groups, lectures, exercises	Presentations, exercises, examinations, individual oral examinations
Graduates possess in-depth knowledge and overview of current research in at least one sub-field of mathematics.	Working groups and seminars, thesis	Presentations, thesis
Graduates know current areas and modern methods of other subjects in which mathematical methods are used.	optional application subject (biology, chemistry, computer science, aerospace informatics and/or physics)	Depending on the subject: examinations, practicals, project work, seminar presentations and working groups, assignments, oral examinations

Ability to take up employment

Qualification target	Implementation	Target achievement
Graduates are trained in analytical thinking, possess a strongly developed capacity for abstraction, universally applicable problem-solving skills and the ability to structure complex contexts.	Lectures with exercises, seminars, working groups, thesis	Exercises, written examinations, individual oral examinations, presentations, thesis
Graduates are able to formulate and present their knowledge, ideas and problem solutions in a target group-oriented and comprehensible way.	Seminars, exercises, learning by teaching	Presentations, presentation of the solution of exercises, supervision of an exercise group under guidance
Graduates are able to recognise, structure and model complex problems from other fields, develop solutions using mathematical methods and interpret and evaluate these results.	Optional applied subject, seminars, working groups, lectures and exercises from the field of applied mathematics, thesis	Exercises, exercises, thesis
Graduates have a strong perseverance in solving complex problems.	Exercises, thesis	Exercises, thesis
Graduates are able to work constructively and goal-oriented in teams and to bear responsibility in doing so.	Seminars, working groups, learning by teaching	Presentations, supervision of exercise groups and tutorials
Graduates are able to access new fields of knowledge and current developments independently, efficiently and systematically.	Seminars, working groups, thesis	Presentations, thesis
Graduates possess the ability to responsibly help shape projects in interdisciplinary teams in the field of computer science, natural sciences and engineering.	optional application subject and application practical	Practicals, project work, presentations

Personality development

Qualification target	Implementation	Target achievement
Graduates are trained in analytical thinking, possess a strongly developed capacity for abstraction, universally applicable problem-solving skills and the ability to structure complex contexts.	Lectures with exercises, seminars, working groups, thesis	Exercises, written examinations, individual oral examinations, presentations, thesis
Graduates are able to participate in participatory processes.	Involvement in the student council and other student structures, participation in commissions and committees	Committee work and meetings
Graduates have a strong perseverance in solving complex problems.	Exercises, thesis	Exercises, thesis
Graduates are able to formulate complex ideas and proposed solutions in a generally understandable way and to present them professionally.	Seminars, working groups, exercises, learning by teaching	Presentations, presentation of solutions to exercises, supervision of exercise groups and tutorials