033 201 Bachelor programme Technical Mathematics

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2023W-2024S (2017U)

Curriculum Document

Title	Precon.	Hours	ECTS
Bachelor programme Technical Mathematics			180.0
Prüfungsfach Orientierung und Einführung
Modul Orientierung und Einführung			2.0
VU Einführung ins Mathematische Arbeiten Courses belong to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")		1.0	1.0
101.672 VU 2023W Introduction to working mathematically		1.0	1.0
104.513 VU 2024S Introduction to working mathematically		1.0	1.0
VO Anwendungsgebiete der Mathematik Courses belong to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")		3.0	1.0
505.001 VO 2024S Applied Areas of Mathematics		3.0	1.0
Prüfungsfach Analysis
Modul Analysis			19.5
VO Analysis 1 Courses belong to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")		4.5	7.0
101.674 VO 2023W Analysis 1		4.5	7.0
UE Analysis 1 Courses belong to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")		2.0	3.5
101.675 UE 2023W Analysis 1		2.0	3.5
VO Analysis 2		4.0	6.0
101.257 VO 2024S Analysis 2		4.0	6.0
UE Analysis 2		2.0	3.0
103.301 UE 2024S Analysis 2		2.0	3.0
Prüfungsfach Lineare Algebra und Geometrie
Modul Lineare Algebra und Geometrie			19.5
VO Lineare Algebra und Geometrie 1 Courses belong to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")		4.5	7.0
104.504 VO 2024S Linear Algebra and Geometry 1		4.5	7.0
104.504 VO 2023W Linear Algebra and Geometry 1		4.5	7.0
UE Lineare Algebra und Geometrie 1 Courses belong to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")		2.0	3.5
104.274 UE 2024S Linear Algebra and Geometry 1		2.0	3.5
104.274 UE 2023W Linear Algebra and Geometry 1		2.0	3.5
VO Lineare Algebra und Geometrie 2		4.0	6.0
104.279 VO 2024S Linear Algebra and Geometry 2		4.0	6.0
UE Lineare Algebra und Geometrie 2		2.0	3.0
104.282 UE 2024S Linear Algebra and Geometry 2		2.0	3.0
Prüfungsfach Programmieren und Numerische Mathematik
Modul Programmieren			11.5
VU Einführung in das Programmieren für TM Courses belong to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")		4.0	6.0
101.275 VU 2024S Introduction to Programming		4.0	6.0
101.275 VU 2023W Introduction to Programming		4.0	6.0
VU Computermathematik Courses belong to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")		3.5	5.5
101.463 VU 2024S Computer mathematics		3.5	5.5
Modul Numerische Mathematik			9.0
VO Numerische Mathematik A		4.0	6.0
101.313 VO 2023W Numerical Analysis A		4.0	6.0
UE Numerische Mathematik		2.0	3.0
106.064 UE 2023W Numerical Analysis		2.0	3.0
Prüfungsfach Maß- und Wahrscheinlichkeitstheorie und Statistik
Modul Maß- und Wahrscheinlichkeitstheorie			15.0
VO Maß- und Wahrscheinlichkeitstheorie 1		3.0	4.5
107.A01 VO 2024S Measure and Probability Theory 1		3.0	4.5
UE Maß- und Wahrscheinlichkeitstheorie 1		2.0	3.0
107.A02 UE 2024S Measure and Probability Theory 1		2.0	3.0
VO Maß- und Wahrscheinlichkeitstheorie 2		3.0	4.5
107.A08 VO 2023W Measure and Probability Theory 2		3.0	4.5
UE Maß- und Wahrscheinlichkeitstheorie 2		2.0	3.0
107.A09 UE 2023W Measure and Probability Theory 2		2.0	3.0
Modul Statistik			6.5
VO Einführung in die Statistik		3.0	4.5
105.692 VO 2024S Introduction to Statistics		3.0	4.5
UE Einführung in die Statistik		1.5	2.0
105.693 UE 2024S Introduction to Statistics		1.5	2.0
Prüfungsfach Höhere Analysis
Modul Höhere Analysis			17.0
VO Analysis 3		4.0	6.0
101.446 VO 2023W Analysis 3		4.0	6.0
UE Analysis 3		2.0	3.0
101.448 UE 2023W Analysis 3		2.0	3.0
VO Funktionalanalysis 1		3.0	4.5
101.781 VO 2024S Functional Analysis		3.0	4.5
UE Funktionalanalysis 1		1.0	2.0
101.341 UE 2024S Functional Analysis 1 UE		1.0	2.0
VO AKANA Funktionalanalysis für TM		1.0	1.5
101.782 VO 2024S Functional Analysis for TM		1.0	1.5
Prüfungsfach Gewöhnliche und partielle Differentialgleichungen
Modul Gewöhnliche und partielle Differentialgleichungen			14.5
VO Differentialgleichungen 1		3.5	4.5
101.665 VO 2024S Differential Equations 1		3.5	4.5
UE Differentialgleichungen 1		1.5	3.0
101.666 UE 2024S Differential Equations 1		1.5	3.0
VU Partielle Differentialgleichungen		4.5	7.0
101.803 VU 2023W Partial Differential Equations		4.5	7.0
Prüfungsfach Diskrete Mathematik
Modul Diskrete Mathematik			16.5
VO Algebra		3.5	5.0
104.998 VO 2024S Algebra		3.5	5.0
UE Algebra		1.5	2.5
104.304 UE 2024S Algebra		1.5	2.5
VO Diskrete und geometrische Algorithmen		4.0	6.0
104.999 VO 2023W Discrete and geometric algorithms		4.0	6.0
UE Diskrete und geometrische Algorithmen		2.0	3.0
104.259 UE 2023W Discrete and geometric algorithms		2.0	3.0
Prüfungsfach Vertiefung (Wahlmodule)
Modul Gebundene Wahlfächer			18.0
Naturwissenschaft und Elektrotechnik
VU Analytische Mechanik für TPH		3.0	4.5
130.009 VU 2023W Analytic Mechanics for TPH		3.0	4.5
VO Datenkommunikation		2.0	3.0
VO Elastizitätstheorie		2.0	3.0
309.518 VO 2023W Finite elasticity		2.0	3.0
VU Elektrodynamik	Courses require the completion of the introductory and orientation phase	5.0	8.0
360.051 VU 2024S Electrodynamics		5.0	8.0
VO Epidemiologie		2.0	3.0
VO Festkörperphysik I		2.0	3.0
138.017 VO 2024S solid state physics I		2.0	3.0
VO Boundary Layer Theory	Courses require the completion of the introductory and orientation phase	2.0	3.0
322.029 VO 2023W Boundary layer theory		2.0	3.0
VO Grundlagen der Elektrotechnik für MB/VT		2.0	3.0
370.059 VO 2023W Fundamentals of electrical engineering (VT)		2.0	3.0
SV Hamiltonian Systems		2.0	3.0
VO Materialwissenschaften		2.0	3.0
138.053 VO 2023W Material Science		2.0	3.0
VO Mathematical Systems Biology		1.0	1.5
202.647 VO 2023W Mathematical Systems Biology		1.0	1.5
VU Mechanik für TPH		3.0	4.5
130.007 VU 2023W Technical Mechanics for TPH		3.0	4.5
VO Physik für Elektrotechnik		3.0	4.0
UE Physik für Elektrotechnik		2.0	2.0
VU Quantentheorie I		5.0	10.0
136.019 VU 2023W Quantum Mechanics I		5.0	10.0
VU Quantentheorie II		3.0	6.0
136.027 VU 2023W Quantum Mechanics II		3.0	6.0
VU Signale und Systeme 1		3.0	4.5
387.083 VU 2023W Signals and Systems 1		3.0	4.5
VU Signale und Systeme 2		3.0	4.0
389.055 VU 2024S Signals and Systems 2		3.0	4.0
VU Statistische Physik I		3.0	6.0
136.020 VU 2024S Statistical Physics I		3.0	6.0
VO Strömungslehre für TPH		3.0	4.5
304.524 VO 2023W Fluid Mechanics for Physicists		3.0	4.5
VU Technische Mechanik für TPH		3.0	4.5
130.007 VU 2023W Technical Mechanics for TPH		3.0	4.5
Theoretische und praktische Informatik
VU Datenbanksysteme Courses belong to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")		4.0	6.0
184.686 VU 2024S Data Base Systems		4.0	6.0
VU Fortgeschrittene objektorientierte Programmierung		2.0	3.0
185.211 VU 2024S Advanced Object-Oriented Programming		2.0	3.0
VU Introduction to Cryptography	Courses require the completion of the introductory and orientation phase	4.0	6.0
192.125 VU 2023W Introduction to Cryptography		4.0	6.0
VO Logik und Grundlagen der Mathematik		3.0	4.5
104.340 VO 2023W Logic and Foundations of Mathematics		3.0	4.5
UE Logik und Grundlagen der Mathematik		1.0	1.5
104.342 UE 2023W Logic and Foundations of Mathematics UE		1.0	1.5
VU Objektorientierte Modellierung Courses belong to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")		2.0	3.0
VO Theoretische Informatik		2.0	3.0
108.036 VO 2024S Theoretical Computer Science		2.0	3.0
UE Theoretische Informatik		1.0	2.0
108.037 UE 2024S Theoretical Computer Science, Exercise		1.0	2.0
Algebra, Diskrete Mathematik und Geometrie
VO Angewandte Geometrie		4.0	6.0
104.491 VO 2023W Applied geometry		4.0	6.0
UE Angewandte Geometrie		4.0	6.0
104.492 UE 2023W Applied geometry		4.0	6.0
VO Fehlerkorrigierende Codes		2.0	3.0
UE Fehlerkorrigierende Codes		1.0	2.0
VO Klassische Differentialgeometrie		3.0	5.0
104.470 VO 2024S Classical differential geometry		3.0	5.0
UE Klassische Differentialgeometrie		2.0	3.0
104.469 UE 2024S Classical differential geometry		2.0	3.0
VO Modellierung und Visualisierung 1		4.0	6.0
104.436 VO 2023W Modelling and Visualization 1		4.0	6.0
UE Modellierung und Visualisierung 1		4.0	6.0
104.437 UE 2023W Modelling and Visualization 1		4.0	6.0
VO Modellierung und Visualisierung 2		3.0	5.0
104.438 VO 2024S Modelling and Visualization 2		3.0	5.0
UE Modellierung und Visualisierung 2		2.0	3.0
104.441 UE 2024S Modelling and Visualization 2		2.0	3.0
VO Non-euclidean geometrics		4.0	6.0
104.472 VO 2023W Non-euclidean geometrics		4.0	6.0
UE Nichteuklidische Geometrien		4.0	6.0
104.471 UE 2023W Non-euclidean geometries		4.0	6.0
VO Projektive Geometrie		3.0	5.0
104.403 VO 2024S Projective geometry		3.0	5.0
UE Projektive Geometrie		2.0	3.0
104.404 UE 2024S Projective goemetry		2.0	3.0
VO Zahlentheorie für TM		2.0	3.0
UE Zahlentheorie für TM
Statistik und Wahrscheinlichkeitstheorie
VU Computerstatistik		3.0	4.5
107.258 VU 2023W Computational Statistics		3.0	4.5
VO Informations- und Codierungstheorie		2.0	3.0
107.A18 VO 2024S Information and Coding theory		2.0	3.0
UE Informations- und Codierungstheorie		1.0	2.0
107.A23 UE 2024S Information- and Coding Theory		1.0	2.0
Analysis, Numerik und Scientific Computing
VO Einführung in die nichtlineare Optimierung		2.0	3.0
105.763 VO 2024S Introduction to Nonlinear Optimization		2.0	3.0
UE Einführung in die nichtlineare Optimierung		1.0	1.5
105.764 UE 2024S Introduction to Nonlinear Optimization		1.0	1.5
VU Einführung in Scientific Computing		4.0	6.0
101.405 VU 2023W Introduction to Scientific Computing		4.0	6.0
VO Iterative Lösung großer Gleichungssysteme		3.0	4.5
101.770 VO 2024S AKNUM Iterative solution of large systems of equations		3.0	4.5
UE Iterative Lösung großer Gleichungssysteme		1.0	1.5
101.771 UE 2024S AKNUM Iterative solution of large systems of equations		1.0	1.5
VU Modeling and Simulation			3.0
194.076 VU 2023W Modeling and Simulation		2.0	3.0
VO Numerik von Differentialgleichungen		4.0	5.0
101.316 VO 2024S Numerics of differential equations		4.0	5.0
UE Numerik von Differentialgleichungen		2.0	3.0
106.065 UE 2024S Numerical solution of differential equations		2.0	3.0
Div. Masterlehrveranstaltungen lt. Studienplan
Master programme Technical Mathematics			120.0
Catalog Optional Courses - Technical Mathematics	Ebenfalls gewählt können Master-Lehrveranstaltungen aus den Modulen AKANA, AKALG, AKANW, AKDIS, AKFVM, AKGEO, AKINF, AKLOG, AKMOD, AKNUM, AKOEK, AKOR, AKSTA, AKVWL und AKWTH.
Prüfungsfach Wissenschaftliches Arbeiten
Modul Wissenschaftliches Arbeiten			13.0
SE Seminar with seminar paper	Courses require the completion of the introductory and orientation phase	2.0	3.0
104.228 SE 2023W Seminar in Discrete Mathematics with Seminar Paper		2.0	3.0
104.226 SE 2024S Seminar with seminar paper		2.0	3.0
104.226 SE 2023W Seminar with seminar paper		2.0	3.0
101.401 SE 2024S Seminar with a term paper; numerics		2.0	3.0
101.389 SE 2023W Seminar aus Analysis mit Seminararbeit		2.0	3.0
101.377 SE 2023W Seminar on Simulation with Seminar Work		2.0	3.0
101.558 SE 2024S Seminar with seminar paper in scientific computing		2.0	3.0
101.570 SE 2023W Seminar with seminar paper Differential Equations		2.0	3.0
104.465 SE 2023W Seminar with seminar paper		2.0	3.0
101.906 SE 2024S Seminar with seminar paper in functional analysis		2.0	3.0
101.936 SE 2024S Seminar with seminar paper on PDEs		2.0	3.0
104.638 SE 2023W Seminar with seminar paper differential geometry		2.0	3.0
101.A11 SE 2023W Seminar with seminar paper on numerical analysis: model order reduction		2.0	3.0
104.655 SE 2024S Seminar with seminar paper in Integral and Stochastic Geometry		2.0	3.0
PR Project with bachelor thesis	Courses require the completion of the introductory and orientation phase	4.0	10.0
104.260 PR 2024S Project with Bachelor thesis		4.0	10.0
104.260 PR 2023W Project with Bachelor thesis		4.0	10.0
104.229 PR 2024S Project with Bachelor Thesis		4.0	10.0
104.284 PR 2024S Project with bachelor thesis		4.0	10.0
104.284 PR 2023W Project with bachelor thesis		4.0	10.0
104.243 PR 2023W Project in Logic with Bachelor Thesis		4.0	10.0
104.381 PR 2023W Project with bachelor thesis		4.0	10.0
101.895 PR 2024S Project with bachelor thesis on numerics / numerics of PDEs		4.0	10.0
101.895 PR 2023W Project with bachelor thesis on numerics / numerics of PDEs		4.0	10.0
101.896 PR 2024S Project with bachelor thesis		4.0	10.0
101.896 PR 2023W Project with bachelor thesis		4.0	10.0
101.897 PR 2024S Project with bachelor thesis		4.0	10.0
101.897 PR 2023W Project with bachelor thesis		4.0	10.0
101.899 PR 2024S Project with bachelor thesis		4.0	10.0
101.899 PR 2023W Project with bachelor thesis		4.0	10.0
101.900 PR 2024S Project with bachelor thesis		4.0	10.0
101.900 PR 2023W Project with bachelor thesis		4.0	10.0
101.903 PR 2024S Project with bachelor thesis		4.0	10.0
101.903 PR 2023W Project with bachelor thesis		4.0	10.0
104.644 PR 2024S Project with bachelor thesis		4.0	10.0
104.644 PR 2023W Project with bachelor thesis		4.0	10.0
Prüfungsfach Freie Wahlfächer und Transferable Skills
Modul Freie Wahlfächer und Transferable Skills	mindestens 3 ECTS Transferable Skills		18.0
VO Technik für Menschen M&G		2.0	3.0
105.700 VO 2024S Technology for People For Mathematicians		2.0	3.0

Responsible dean of academic affairs

For questions regarding the curriculum please contact the responsible dean of academic affairs.

Legend

: Courses belong to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")
: Courses belong to the introductory interview ("Studieneingangsgespräch")
: Courses require the completion of the introductory and orientation phase
: Courses require the completion of the introductory interview STEG