Course Manual MA1
Mathematics 1
PDF Course Catalog Deutsche Version: MA1
Version: 1 | Last Change: 24.09.2019 17:00 | Draft: 0 | Status: vom verantwortlichen Dozent freigegeben
| Long name | Mathematics 1 |
|---|---|
| Approving CModule | MA1_BaET |
| Responsible |
Prof. Dr. Christoph Bold
Professor Fakultät IME |
| Valid from | winter semester 2020/21 |
| Level | Bachelor |
| Semester in the year | winter semester |
| Duration | Semester |
| Hours in self-study | 120 |
| ECTS | 10 |
| Professors |
Prof. Dr. Christoph Bold
Professor Fakultät IME |
| Requirements | Knowledge of school mathematics to achieve university entrance as well as logical thinking. |
| Language | German |
| Separate final exam | Yes |
Literature
| L. Papula, Mathematik für Ingenieure und Naturwissenschaftler, Band 1 und 2, Vieweg+Teubner Verlag |
Final exam
| Details |
The exam sets tasks from the area of linear algebra and analysis of one variable, which shall be solved without tools (or if necessary with a given collection of formulas). On the one hand, the correctness of the approach, respectively the solution, is evaluated. It also assesses the extent to which symbolic and formal mathematical language is used correctly. In order to take part in the summary examination at the end (written exam), students must first prove that they have satisfactorily completed the exercises, which are usually held on a weekly basis. |
|---|---|
| Minimum standard | Students - Show that they understand simple mathematical statements and can comprehend simple given proofs - Can explain and apply the most important concepts of LA and AN - Can solve simple tasks of known type from the field of LA and AN without electronic aids. The written representation of the solution and the way to solve it is done in the formal language of mathematics and uses the correct mathematical symbols. Abbreviation: LA - Linear Algebra, AN - Analysis of one Variable |
| Exam Type | EN Klausur |
Learning goals
| Goal type | Description |
|---|---|
| Knowledge | Analysis: Basics: logic, sets, natural numbers, real numbers, functions Elementary functions: Algebraic Functions, Transcendental Functions Convergence and divergence of sequences, continuity of functions Complex numbers Linear algebra: Systems of linear equations Vectors in three-dimensional space General vector spaces Matrix algebra Determinants Eigenvalues and diagonalization Orthogonality Linear maps |
| Skills | Master mathematical notation and symbols. Understanding and evaluating given mathematical argumentations. Independent drawing of logical conclusions Differentiate between different mathematical statements Solving problems from the area of the knowledge conveyed in the lecture (mathemathical foundations, analysis of one variable, linear algebra) Understanding and communicating mathematical statements |
Expenditure classroom teaching
| Type | Attendance (h/Wk.) |
|---|---|
| Lecture | 5 |
| Exercises (whole course) | 3 |
| Exercises (shared course) | 2 |
| Tutorial (voluntary) | 2 |
Special requirements
| none |
| Accompanying material |
Lecture notes printed and electronic Exercises with solutions only electronic |
|---|---|
| Separate exam | Yes |
Separate exam
| Exam Type | EN Übungsaufgabe mit fachlich / methodisch eingeschränktem Fokus lösen |
|---|---|
| Details | Presence exercises and self-learning exercises, see also exam concept of summary final exam |
| Minimum standard | 50% of the maximum achievable credit points |
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