104.618 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.

2022W, VU, 3.5h, 4.5EC, to be held in blocked form
TUWELQuinn ECTS survey

Properties

  • Semester hours: 3.5
  • Credits: 4.5
  • Type: VU Lecture and Exercise
  • Format: Presence

Learning outcomes

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

  • ... in the theory of complex functions ...
    • ... 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.
  • ... in the vector space theory of a system of functions ...
    • ... 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.
  • ... in the theory of integral-transformations...
    • ... 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.
  • ... in the theory of linear partial differential equations ...
    • ... 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.

Subject of course

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

Teaching methods

Lecture with exercises

Mode of examination

Immanent

Additional information

-

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Tue08:00 - 09:0004.10.2022 - 20.12.2022FH Hörsaal 1 - MWB Vorlesung
Tue16:00 - 18:0004.10.2022 - 24.01.2023GM 4 Knoller Hörsaal - VT UE M3 - Gruppe 1
Wed16:00 - 18:0005.10.2022 - 25.01.2023HS 18 Czuber - MB UE M3 - Gruppe 2
Thu16:00 - 18:0006.10.2022 - 26.01.2023HS 14A Günther Feuerstein UE M3 - Gruppe 3
Mon08:00 - 09:0010.10.2022 - 19.12.2022FH Hörsaal 1 - MWB Vorlesung
Tue16:00 - 18:0025.10.2022HS 18 Czuber - MB UE M3 - Gruppe 2 (Ersatztermin)
Wed15:00 - 17:0016.11.2022EI 7 Hörsaal - ETIT UE M3 - Gruppe 1 (Ersatztermin)
Wed16:00 - 18:0007.12.2022EI 7 Hörsaal - ETIT UE M3 - Gruppe 3 (Ersatztermin)
Mathematics 3 for MB, WIMB and VT - Single appointments
DayDateTimeLocationDescription
Tue04.10.202208:00 - 09:00FH Hörsaal 1 - MWB Vorlesung
Tue04.10.202216:00 - 18:00GM 4 Knoller Hörsaal - VT UE M3 - Gruppe 1
Wed05.10.202216:00 - 18:00HS 18 Czuber - MB UE M3 - Gruppe 2
Thu06.10.202216:00 - 18:00HS 14A Günther Feuerstein UE M3 - Gruppe 3
Mon10.10.202208:00 - 09:00FH Hörsaal 1 - MWB Vorlesung
Tue11.10.202208:00 - 09:00FH Hörsaal 1 - MWB Vorlesung
Tue11.10.202216:00 - 18:00GM 4 Knoller Hörsaal - VT UE M3 - Gruppe 1
Wed12.10.202216:00 - 18:00HS 18 Czuber - MB UE M3 - Gruppe 2
Thu13.10.202216:00 - 18:00HS 14A Günther Feuerstein UE M3 - Gruppe 3
Mon17.10.202208:00 - 09:00FH Hörsaal 1 - MWB Vorlesung
Tue18.10.202208:00 - 09:00FH Hörsaal 1 - MWB Vorlesung
Tue18.10.202216:00 - 18:00GM 4 Knoller Hörsaal - VT UE M3 - Gruppe 1
Wed19.10.202216:00 - 18:00HS 18 Czuber - MB UE M3 - Gruppe 2
Thu20.10.202216:00 - 18:00HS 14A Günther Feuerstein UE M3 - Gruppe 3
Mon24.10.202208:00 - 09:00FH Hörsaal 1 - MWB Vorlesung
Tue25.10.202208:00 - 09:00FH Hörsaal 1 - MWB Vorlesung
Tue25.10.202216:00 - 18:00GM 4 Knoller Hörsaal - VT UE M3 - Gruppe 1
Tue25.10.202216:00 - 18:00HS 18 Czuber - MB UE M3 - Gruppe 2 (Ersatztermin)
Thu27.10.202216:00 - 18:00HS 14A Günther Feuerstein UE M3 - Gruppe 3
Mon31.10.202208:00 - 09:00FH Hörsaal 1 - MWB Vorlesung
Course is held blocked

Examination modalities

Written exams

Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Fri14:00 - 16:0010.11.2023FH Hörsaal 1 - MWB writtenno application-1. Zwischentest, Paralleltermin
Fri14:00 - 16:0010.11.2023Informatikhörsaal - ARCH-INF writtenno application-1. Zwischentest, Paralleltermin
Fri14:00 - 16:0010.11.2023GM 1 Audi. Max.- ARCH-INF writtenno application-1. Zwischentest, Paralleltermin
Fri14:00 - 16:0010.11.2023HS 18 Czuber - MB writtenno application-1. Zwischentest, Paralleltermin
Fri16:00 - 18:0001.12.2023Informatikhörsaal - ARCH-INF writtenno application-2. Zwischentest, Paralleltermin
Fri16:00 - 18:0001.12.2023EI 7 Hörsaal - ETIT writtenno application-2. Zwischentest, Paralleltermin
Fri16:00 - 18:0001.12.2023FH Hörsaal 1 - MWB writtenno application-2. Zwischentest, Paralleltermin
Fri16:00 - 18:0001.12.2023GM 1 Audi. Max.- ARCH-INF writtenno application-2. Zwischentest, Paralleltermin
Fri16:00 - 18:0012.01.2024GM 1 Audi. Max.- ARCH-INF writtenno application-3. Zwischentest, Paralleltermin
Fri16:00 - 18:0012.01.2024Informatikhörsaal - ARCH-INF writtenno application-3. Zwischentest, Paralleltermin
Fri16:00 - 18:0012.01.2024EI 7 Hörsaal - ETIT writtenno application-3. Zwischentest, Paralleltermin
Fri16:00 - 18:0012.01.2024FH Hörsaal 1 - MWB writtenno application-3. Zwischentest, Paralleltermin
Fri14:00 - 16:0026.01.2024FH Hörsaal 1 - MWB writtenno application-Ersatztest, Paralleltermin
Fri14:00 - 16:0026.01.2024GM 1 Audi. Max.- ARCH-INF writtenno application-Ersatztest, Paralleltermin
Fri14:00 - 16:0026.01.2024Informatikhörsaal - ARCH-INF writtenno application-Ersatztest, Paralleltermin

Group dates

GroupDayTimeDateLocationDescription
Dienstag 16-18 UhrTue16:00 - 18:0018.10.2022 - 13.12.2022GM 4 Knoller Hörsaal - VT 104.618 Mathematics 3 for MB, WIMB and VT Dienstag 16-18 Uhr
Dienstag 16-18 UhrWed15:00 - 17:0016.11.2022EI 7 Hörsaal - ETIT 104.618 Mathematics 3 for MB, WIMB and VT Dienstag 16-18 Uhr
Donnerstag 16-18 UhrThu16:00 - 18:0020.10.2022 - 15.12.2022HS 14A Günther Feuerstein 104.618 Mathematics 3 for MB, WIMB and VT Donnerstag 16-18 Uhr
Donnerstag 16-18 UhrWed16:00 - 18:0007.12.2022EI 7 Hörsaal - ETIT 104.618 Mathematics 3 for MB, WIMB and VT Donnerstag 16-18 Uhr
Mittwoch 16-18 UhrWed16:00 - 18:0019.10.2022 - 14.12.2022HS 18 Czuber - MB 104.618 Mathematics 3 for MB, WIMB and VT Mittwoch 16-18 Uhr
Mittwoch 16-18 UhrTue16:00 - 18:0025.10.2022HS 18 Czuber - MB 104.618 Mathematics 3 for MB, WIMB and VT Mittwoch 16-18 Uhr

Course registration

Begin End Deregistration end
21.09.2022 12:00 16.10.2022 18:00 07.11.2022 12:00

Group Registration

GroupRegistration FromTo
Dienstag 16-18 Uhr21.09.2022 12:0016.10.2022 18:00
Donnerstag 16-18 Uhr21.09.2022 12:0016.10.2022 18:00
Mittwoch 16-18 Uhr21.09.2022 12:0016.10.2022 18:00

Curricula

Study CodeObligationSemesterPrecon.Info
033 245 Mechanical Engineering Mandatory3. SemesterSTEOP
Course requires the completion of the introductory and orientation phase
033 273 Chemical and Process Engineering Mandatory3. Semester
033 282 Mechanical Engineering - Management Mandatory3. SemesterSTEOP
Course requires the completion of the introductory and orientation phase

Literature

Ein Skriptum zur Vorlesung ist im Grafischen Zentrum erhältlich.

Previous knowledge

Calculus, ODEs, vector spaces

Preceding courses

Miscellaneous

  • Attendance Required!

Language

German