| Module name (EN): Engineering Mathematics I |
| Degree programme: Automotive Engineering, Bachelor, ASPO 01.10.2011 |
| Module code: FT01 |
| SAP-Submodule-No.: P242-0062, P242-0063 |
| Hours per semester week / Teaching method: 6V+2U (8 hours per week) |
| ECTS credits: 8 |
| Semester: 1 |
| Mandatory course: yes |
| Language of instruction: German |
| Assessment: Written exam 120 min. [updated 30.09.2020] |
| Applicability / Curricular relevance: FT01 (P242-0062, P242-0063) Automotive Engineering, Bachelor, ASPO 01.10.2011, semester 1, mandatory course FT01 (P242-0062, P242-0063) Automotive Engineering, Bachelor, ASPO 01.10.2015, semester 1, mandatory course FT01 (P242-0062, P242-0063) Automotive Engineering, Bachelor, ASPO 01.04.2016, semester 1, mandatory course FT01 (P242-0062, P242-0063) Automotive Engineering, Bachelor, ASPO 01.10.2019, semester 1, mandatory course MAB.1.1.MAT1 (P241-0182, P241-0183) Mechanical and Process Engineering, Bachelor, ASPO 01.10.2013, semester 1, mandatory course |
| Workload: 120 class hours (= 90 clock hours) over a 15-week period. The total student study time is 240 hours (equivalent to 8 ECTS credits). There are therefore 150 hours available for class preparation and follow-up work and exam preparation. |
| Recommended prerequisites (modules): None. |
| Recommended as prerequisite for: FT05 Engineering Mathematics II FT09 FT17 Automotive Engineering I FT22 FT23 Business Economics FT24 [updated 21.02.2017] |
| Module coordinator: Prof. Dr. Marco Günther |
| Lecturer: Prof. Dr. Marco Günther [updated 20.05.2011] |
| Learning outcomes: After successfully completing this course, students will: - be familiar with the basics of vector calculus and calculating with complex numbers. - be able to handle sequences and series, as well as elementary functions. - understand the meaning of the term "limit". - have mastered the differentiation and integration of functions with a variable. - know what an ordinary differential equation is and be familiar with basic solution methods. - be able to solve linear systems of equations. [updated 30.09.2020] |
| Module content: - Vector calculation in the plane and space - Introduction to and calculation with complex numbers - Elementary functions (e.g., fully rational, fractional rational, trigonometric functions, exponential functions) - Differential and integral calculus with applications - Sequences and series - Fourier, Taylor series - Ordinary differential equations - Linear systems of equations - Matrices [updated 30.09.2020] |
| Teaching methods/Media: Lecture, exercises [updated 30.09.2020] |
| Recommended or required reading: - Papula, Mathematik für Ingenieure und Naturwissenschaftler, Band 1+2 - Bartsch, Taschenbuch mathematischer Formeln Additional literature will be announced in the lecture. [updated 30.09.2020] |
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