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Engineering Mathematics 2

Module name (EN):
Name of module in study programme. It should be precise and clear.
Engineering Mathematics 2
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: E2201
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.
P211-0096
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: 2
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.

E2201 (P211-0096) Electrical Engineering and Information Technology, Bachelor, ASPO 01.10.2018 , semester 2, 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:
Module coordinator:
Prof. Dr. Gerald Kroisandt
Lecturer:
Dipl.-Math. Kerstin Webel


[updated 14.10.2021]
Learning outcomes:
After successfully completing this module, students will be able to calculate complex numbers and complex functions and represent them on the complex plane. They will have acquired advanced knowledge of differential and integral calculus. They will be able to solve second order differential equations and thus, be able to analyze and calculate the fundamental time behavior of elementary and complex systems in different disciplines.

[updated 08.01.2020]
Module content:
Complex numbers and functions Definition and representation The Gaussian number plane Representation forms and conversion Basic arithmetic operations Exponentiation and roots of complex numbers Differential calculus II The differential of a function Extrema and inflection points Functions with several independent variables Zero-dimensional space Functions of several variables Differential calculus Calculating extrema Gradients, divergence, rotation Integral calculus II Integration techniques Applications of integral calculus Improper integral Numerical integration Line integral, definition and examples Differential equations (DGl) Basic terms First order DEs - Geometric considerations - Separable 1st order equations - Separation of variables and variation of constants 2nd order DEs - 2nd order Linear DEs with constant coefficients - Properties of linear DEs - 2nd order homogeneous linear DEs - 2nd order inhomogeneous DEs Systems of linear DEs with constant coefficients


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

[updated 08.01.2020]
Recommended or required reading:


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