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. Holger Weigand
Professor Fakultät IME |

Level | Bachelor |

Semester in the year | winter semester |

Duration | Semester |

Hours in self-study | 120 |

ECTS | 10 |

Professors |
Prof. Dr. Holger Weigand
Professor Fakultät IME |

Requirements | Knowledge of school mathematics to achieve university entrance as well as logical thinking. |

Language | German |

Separate final exam | Yes |

L. Papula, Mathematik für Ingenieure und Naturwissenschaftler, Band 1 und 2, Vieweg+Teubner Verlag

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.

- 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

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.

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

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

Type | Attendance (h/Wk.) |
---|---|

Lecture | 5 |

Exercises (whole course) | 3 |

Exercises (shared course) | 2 |

Tutorial (voluntary) | 2 |

keine/none

none

Lecture notes printed and electronic

Exercises with solutions only electronic

Exercises with solutions only electronic

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