104.295 Mathematics 3 for MB, WIMB and VT
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2019W, VO, 2.0h, 3.0EC, to be held in blocked form

Properties

After successful completion of the course, students are able to...

... investigate the complex differentiability of a given function via the Cauchy--Riemann differential equations and calculate conjugate harmonic functions.
... calculate complex integrals over a parametrized curve or via the antiderivative.
... identify and classify the pols of a complex function and calculate the residuum at a pole.
... solve complex integrals via the Residue Theorem.

... calculate the orthogonal projection of a given function onto the linear span of a given system of functions.
... calculate the coefficiets of the Fourier series of a given function.
... determine the limit of the Fourier series of a given function at a specified point using the Dirichlet Theorem.

... calculate the Laplace tranform of a given function, via the definition and the elementary properties (linearity, similarity, differential, integration, shift, ...) of the Laplace transform.
... dertermine the inverse of the Laplace transform of a function using the complex inversion-formula and the residue theorem.
... solve initial value problems using the Laplace transform.
... calculate the Fourier transform and inverse Fourier transform, via the definition and the elementary properties (linearity, similarity, differential, shift, ...) of the Fourier transform.

... classify a given linear partial differential equation (order, coefficients, homogen or inhomogen, type,...).
... determine a general solution of a given linear partial differential equation of first order via the method of characteristics.
... determine a general solution of classical homgeneous linear partial differential equations of second order (potential equation, heat equation, wave equation,...) by method of seperation of variables and fit the general solution to a given set of boundary conditions via application of the theory of Fourierseries.

Laplace and Fourier transform, complex analysis, fourier series, partial differential equations

Lecture (a excercise course on the subjects of the lecture is offered as a sperate course)

Written

The Lecture starts on Monday, 7th of October!

Day	Time	Date	Location	Description
Mon	07:45 - 09:00	07.10.2019 - 27.01.2020	FH Hörsaal 1 - MWB	Lecture
Tue	07:45 - 09:00	08.10.2019 - 21.01.2020	FH Hörsaal 1 - MWB	Lecture

Mathematics 3 for MB, WIMB and VT - Single appointments

Day	Date	Time	Location	Description
Mon	07.10.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Tue	08.10.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Mon	14.10.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Tue	15.10.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Mon	21.10.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Tue	22.10.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Mon	28.10.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Tue	29.10.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Mon	04.11.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Tue	05.11.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Mon	11.11.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Tue	12.11.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Mon	18.11.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Tue	19.11.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Mon	25.11.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Tue	26.11.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Mon	02.12.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Tue	03.12.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Mon	09.12.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture
Tue	10.12.2019	07:45 - 09:00	FH Hörsaal 1 - MWB	Lecture

Course is held blocked

written exam

Not necessary

Study Code	Obligation	Semester	Precon.
033 245 Mechanical Engineering	Mandatory	3. Semester	Course requires the completion of the introductory and orientation phase
033 273 Chemical and Process Engineering	Mandatory	3. Semester
033 282 Mechanical Engineering - Management	Mandatory	3. Semester

The lecture notes are available at the Grafisches Zentrum.

Calculus, ODEs, vector spaces

German