Qualification targets Bachelor Mathematics (180 ECTS)
The aim of this degree programme is to familiarise students with the most important sub-areas of mathematics, to teach the methods of mathematical thinking and working as well as to train analytical thinking, the ability to abstract and the ability to structure complex contexts. Through the training of these skills, the students acquire the basic knowledge required for any subsequent postgraduate, especially Master's, studies. In addition, they later know how to flexibly familiarise themselves with the diverse areas of our society in which mathematical methods are or can be used.
This is supported by taking an integrated application subject, in which students are familiarised with the basic ways of thinking and working techniques of a subject of their choice in which mathematical methods are used.
In the Bachelor's degree programme in mathematics, the main focus is on sound basic mathematical knowledge, knowledge of methods and the development of the thought structures typical of mathematics. The acquisition of knowledge in sub-areas of mathematics is subordinate to this.
Scientific qualification
| Qualification target | Implementation | Target achievement |
|---|---|---|
| Graduates are familiar with the working methods and the associated technical language of mathematics and have mastered the methods of mathematical thinking and proving. | Basic mathematical concepts and proof methods, argumentation and writing in mathematics, compulsory modules in analysis and linear algebra | Exercises in small groups, compulsory exercises, ungraded written examinations, individual oral examinations |
| Graduates possess basic knowledge of at least one area of applied mathematics (numerical mathematics and/or stochastics) and can confidently handle the methods of these areas. | Mandatory elective modules | Exercises and programming exercises, ungraded written examinations, individual oral examinations |
| Graduates possess fundamental knowledge of selected areas of pure mathematics and are familiar with the basic proof methods of these areas. | Mandatory elective modules | Exercises, ungraded written examinations, individual oral examinations |
| Graduates know the basic ways of thinking and working techniques of another subject in which mathematical methods are used. | Integrated application subject (biology, chemistry, geography, computer science, philosophy, physics or economics) | Depending on the subject: written examinations, lab courses, project work, seminar presentations, term papers, oral examinations |
| Graduates are trained in analytical thinking, possess a high level of abstraction, universally applicable problem-solving skills and the ability to structure complex contexts. | Lectures with exercises, seminars, thesis | Exercises, written examinations, individual oral examinations, presentations, thesis |
| Graduates are able to independently familiarise themselves with further areas of mathematics with the help of specialist literature. | Seminars, thesis | Presentations, thesis |
| Graduates are able to present their knowledge, ideas and solutions to problems in an understandable way. | Seminars, exercises | Lectures, presentation of the solution of exercises |
| Graduates possess the basic knowledge, ways of thinking and methodological skills required for further, especially Master's, studies. | Lectures, exercises, seminars, thesis | Exercises, individual oral examinations, presentations, thesis |
| Graduates know the rules of good scientific practice and are able to observe them in their own work. | Thesis | Thesis |
Ability to take up employment
| Qualification target | Implementation | Target achievement |
|---|---|---|
| Graduates are trained in analytical thinking, possess a high level of abstraction, universally applicable problem-solving skills and the ability to structure complex contexts. | Lectures with exercises, seminars, 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, tutorials, tutoring and proofreading | Lectures, presentation of the solution of exercises, supervision of an exercise group under guidance |
| Graduates are able to recognise, structure and model concrete problems from other fields and develop solutions using mathematical methods. | Integrated application subject, lectures and exercises from the field of applied mathematics, thesis | 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. | Exercises, programming course, computer-oriented mathematics | Different exercise concepts with group work, exercises and programming exercises |
| Graduates are able to access further areas of knowledge independently, efficiently and systematically. | Seminars, thesis | Presentations, Thesis |
| Graduates are familiar with at least one modern programming language and can confidently handle mathematical software. | Programming course, computer-oriented mathematics, integrated application subject | Programming exercises |
| Graduates possess the ability to play a formative role in interdisciplinary teams in the field of computer science, natural sciences, engineering and economics. | Integrated application subject | Group work in exercises and practical courses, presentations |
Personality development
| Qualification target | Implementation | Target achievement |
|---|---|---|
| Graduates are trained in analytical thinking, possess a high level of abstraction, universally applicable problem-solving skills and the ability to structure complex contexts. | Lectures with exercises, seminar, thesis | Exercises, written examinations, individual oral examinations, presentations, thesis |
| Graduates are able to critically reflect and evaluate social, economic and historical developments and processes. | If applicable, integrated application subject, selected chapters in the history of mathematics, ASQ pool, thesis | Presentations, project work, 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 and present ideas and proposed solutions in a generally understandable way. | Seminars, tutorials, tutoring and proofreading | Presentations, presentation of the solution of exercises, supervision of an exercise group under guidance |
