Course
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 |
| 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
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.
Learning goals
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
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
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 literature
keine/none
Special requirements
none
Accompanying material
Lecture notes printed and electronic
Exercises with solutions only electronic
Exercises with solutions only electronic
Separate exam
Exam Type
solving exercises within limited functional / methodical scopeDetails
Presence exercises and self-learning exercises, see also exam concept of summary final examMinimum standard
50% of the maximum achievable credit points
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