Module name (EN): Engineering Mathematics 2 |
Degree programme: Electrical Engineering and Information Technology, Bachelor, ASPO 01.10.2018 |
Module code: E2201 |
SAP-Submodule-No.: P211-0096 |
Hours per semester week / Teaching method: 5V+2U (7 hours per week) |
ECTS credits: 8 |
Semester: 2 |
Mandatory course: yes |
Language of instruction: German |
Assessment: Written exam [updated 08.01.2020] |
Applicability / Curricular relevance: E2201 (P211-0096) Electrical Engineering and Information Technology, Bachelor, ASPO 01.10.2018, semester 2, mandatory course, technical |
Workload: 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: [still undocumented] |
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