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Engineering Mathematics 1

Module name (EN):
Name of module in study programme. It should be precise and clear.
Engineering Mathematics 1
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Electrical Engineering and Information Technology, Bachelor, ASPO 01.10.2018
Module code: E2101
SAP-Submodule-No.:
The exam administration creates a SAP-Submodule-No for every exam type in every module. The SAP-Submodule-No is equal for the same module in different study programs.
P211-0095
Hours per semester week / Teaching method:
The count of hours per week is a combination of lecture (V for German Vorlesung), exercise (U for Übung), practice (P) oder project (PA). For example a course of the form 2V+2U has 2 hours of lecture and 2 hours of exercise per week.
5V+2U (7 hours per week)
ECTS credits:
European Credit Transfer System. Points for successful completion of a course. Each ECTS point represents a workload of 30 hours.
8
Semester: 1
Mandatory course: yes
Language of instruction:
German
Assessment:
Written exam

[updated 08.01.2020]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

E2101 (P211-0095) Electrical Engineering and Information Technology, Bachelor, ASPO 01.10.2018 , semester 1, mandatory course, technical
Workload:
Workload of student for successfully completing the course. Each ECTS credit represents 30 working hours. These are the combined effort of face-to-face time, post-processing the subject of the lecture, exercises and preparation for the exam.

The total workload is distributed on the semester (01.04.-30.09. during the summer term, 01.10.-31.03. during the winter term).
105 class hours (= 78.75 clock hours) over a 15-week period.
The total student study time is 240 hours (equivalent to 8 ECTS credits).
There are therefore 161.25 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
None.
Recommended as prerequisite for:
E2204 Fundamentals of Electrical Engineering 2


[updated 15.11.2022]
Module coordinator:
Prof. Dr. Gerald Kroisandt
Lecturer:
Dipl.-Math. Kerstin Webel


[updated 14.10.2021]
Learning outcomes:
After successfully completing this course, students will be able to apply elementary, mathematical computing techniques to mathematical problems and solve sample tasks.

[updated 08.01.2020]
Module content:
Principles of analysis and algebra, Sets, Set of real numbers, Inequations, Mathematical induction, Binomial theorem, Functions, Special functions, Basic terms and general properties, Sequences and limits, Limits and continuity of functions, Polynomial functions, Fractional rational functions, Power functions,Algebraic functions, Trigonometric functions and inverse trigonometric functions, Exponential and logarithmic functions, Hyperbolic and inverse hyperbolic functions, Linear algebra, Basic concepts of vector analysis, Vectors in a rectangular coordinate system, The dot product, The cross product, Normal vector, Multiple products of vectors, Linear systems of equations, Matrices, Addition and multiplication, Inverse determinants, Definition and properties, Rank of a linear system of equations, Gaussian elimination, Solution behavior, Cramer´s rule, Differential calculus I,The concept of derivation Basic rules of differentiation, The derivation of elementary functions, Derivation rules, Calculation of limits with L´Hospital, Integral calculus I, The indefinite integral, The definite integral, Applications of integral calculus in geometry

[updated 08.01.2020]
Teaching methods/Media:
Board, overhead projector, beamer, lecture notes (planned)

[updated 08.01.2020]
Recommended or required reading:


[still undocumented]
 
[Sat Apr 20 02:36:46 CEST 2024, CKEY=e3E2101, BKEY=ei, CID=E2101, LANGUAGE=en, DATE=20.04.2024]