Course

MA1 - Mathematics 1

PDF Course Catalog Deutsche Version: MA1

Version: 2 | Last Change: 10.12.2019 16:00 | Draft: 0 | Status: vom verantwortlichen Dozent freigegeben

Long name Mathematics 1
Approving CModule MA1_BaMT
Responsible
Prof. Dr. Stefan Grünvogel
Professor Fakultät IME
Level Bachelor
Semester in the year winter semester
Duration Semester
Hours in self-study 174
ECTS 10
Professors
Prof. Dr. Stefan Grünvogel
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
Fetzer, Fränkel: Mathematik Lehrbuch für ingenieurwissenschaftliche Studiengänge, Teubner Verlag
Burg, Haf, Wille: Höhere Mathematik für Ingenieure, Teubner Verlag
Rurländer: Lineare Algebra für Naturwissenschaftler und Ingenieure, Pearson
Final exam
Details
Tasks from the area of the analysis of one variable are set, 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 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 AN
- can solve simple tasks of known type from the field of 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: AN - Analysis of one variable
Exam Type
Tasks from the area of the analysis of one variable are set, 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 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
Basics: logic, sets, natural numbers, real numbers, functions
Elementary functions: Algebraic Functions, Transcendental Functions
Convergence and divergence of sequences,
Real functions in one variable: limits, continuity, differentiation, integration
Series
Skills
Master mathematical notation and symbols.\nUnderstanding 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) 2
Exercises (shared course) 0
Tutorial (voluntary) 2
Special literature
keine/none
Special requirements
none
Accompanying material
Script
Exercise sheets
Online references
Separate exam
Exam Type
solving exercises within limited functional / methodical scope
Details
Submission and evaluation of exercises (homework) and online exercises (e-learning)
Minimum standard
Regular work on exercises and online tasks

Impressum
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