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Departments >> Faculty of Sciences >> Department of Mathematics >>
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Controlling IngMath
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Mathematik für Ingenieure A2 : CE, EEI, BP-E, MT [IngMathA2V] -
- Lecturer:
- N.N.
- Details:
- Vorlesung, 6 cred.h, certificate
- Dates:
- Mon, Thu, 12:15 - 13:45, H7
Wed, 14:15 - 15:45, H11
- Fields of study:
- PF CE-BA-G 2
PF EEI-BA 2
PF BPT-BA-E 2
PF MT-BA 2
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Mathematik für Ingenieure C2: INF, IP, ILS, PhM [IngMathC2V] -
- Lecturer:
- Mohammad Hassan Farshbaf Shaker
- Details:
- Vorlesung, 4 cred.h, certificate, ECTS: 5, Um am Kurs teilnehmen zu können, melden sie sich bitte unter StudOn an: https://www.studon.fau.de/crs2888602.html
- Dates:
- Tue, 16:15 - 17:45, H11
Wed, 10:15 - 11:45, H11
- Fields of study:
- PF IP-BA 2
PF IP-BA-S 1
PF INF-BA 2
PF ILS-BA 2
PF PhM-BA 2
- Keywords:
- Mathematik für Ingenieure, Ingenieurmathematik
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Mathematik für Ingenieure D2: CBI, CEN, LSE, MWT, NT [IngMathD2V] -
- Lecturer:
- Wigand Rathmann
- Details:
- Vorlesung, 4 cred.h, ECTS: 5
- Dates:
- Mon, 14:15 - 15:45, H11
Tue, 12:15 - 13:45, H11
- Fields of study:
- PF CBI-BA 2
PF LSE-BA 2
PF MWT-BA 2
PF NT-BA 2
PF CEN-BA 2
- Prerequisites / Organisational information:
- Die Vorlesung richtet sich an Studierende der Fachrichtungen des CBI, CEN, LSE, MWT und NT
- Contents:
- Differentialrechnung einer Veränderlichen
Ableitung mit Rechenregeln, Mittelwertsätze, L’Hospital,
Taylor-Formel, Kurvendiskussion
Integralrechnung einer Veränderlichen
Riemann-Integral, Hauptsatz der Infinitesimalrechnung,
Mittelwertsätze, Partialbruchzerlegung, uneigentliche
Integration
Folgen und Reihen
reelle und komplexe Zahlenfolgen, Konvergenzbegriff und -
sätze, Folgen und Reihen von Funktionen, gleichmäßige
Konvergenz, Potenzreihen, iterative Lösung nichtlinearer
Gleichungen
Grundlagen Analysis mehrerer Veränderlicher
Grenzwert, Stetigkeit, Differentiation, partielle Ableitungen,
totale Ableitung, allgemeine Taylor-Formel
- Recommended literature:
- v. Finckenstein et.al: Arbeitsbuch Mathematik fuer Ingenieure: Band I Analysis und Lineare Algebra. Teubner-Verlag 2006, ISBN 9783835100343
Wille: Vorkurs Mathematik für Studienanfänger. Binomi-Verlag, ISBN 978-3-923923-10-6
Merzinger, Wirth: Repetitorium der Höheren Mathematik. Binomi-Verlag, ISBN 978-3-923923-33-3
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Übungen zur Mathematik für Ingenieure D2: CBI, CEN, LSE, MWT, NT [IngMathD2U] -
- Lecturer:
- Wigand Rathmann
- Details:
- Übung, 2 cred.h, certificate, ECTS: 2,5
- Fields of study:
- PF CBI-BA 2
PF LSE-BA 2
PF MWT-BA 2
PF NT-BA 2
PF CEN-BA 2
| | | | Mon | 10:15 - 11:45 | H16 | |
N.N. | |
| | | Tue | 14:15 - 15:45 | K1-119 Brose-Saal | |
Tutoren | |
| | | Wed | 8:15 - 9:45 | K1-119 Brose-Saal | |
Rathmann, W. | |
| | | Thu | 12:15 - 13:45 | K2-119 | |
Rathmann, W. | |
| | | Thu | 12:15 - 13:45 | K1-119 Brose-Saal | |
Tutoren | |
| | | Thu | 16:15 - 17:45 | T 0.75 | |
Tutoren | |
| | | Fri | 10:15 - 11:45 | 0.154-115 | |
Tutoren | |
| | | Fri | 10:15 - 11:45 | K2-119 | |
Rathmann, W. | |
| | | Fri | 12:15 - 13:45 | H15 | |
N.N. | |
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Optimization for Engineers [OptIngLec] -
- Lecturer:
- Johannes Hild
- Details:
- Vorlesung mit Übung, 3 cred.h, ECTS: 5
- Dates:
- Mon, 8:15 - 9:45, K1-119 Brose-Saal
Thu, 10:15 - 11:45, K1-119 Brose-Saal
- Fields of study:
- WF MB-MA ab 1
WF TM-BA ab 4
PF CE-MA 1-2
WF AOT-GL ab 1
WF INF-MA ab 1
WPF CBI-MA ab 1
WF WING-MA ab 1
WF ME-MA ab 1
WPF LSE-MA ab 1
WF EEI-MA ab 1
WF ICT-MA ab 1
WPF CEN-MA ab 1
WPF MT-MA-BDV ab 1
- Prerequisites / Organisational information:
- This course aims at students of the Faculty of Engineering of all disciplines and is suitable as an elective subject in the Bachelor's and Master's degree.
Requires contents of the lecture Mathematics for Engineers I, II and III. Especially:
Programming homeworks require basic knowledge in the implementation of algorithms and data structures in a development environment.
- Contents:
- Introduction to continuous optimization problems and methods with and without constraints
Classification of problem types Optimality conditions and termination criterions Descent directions and line search methods Convergence analysis
Unconstrained optimization
Constrained optimization
Outlook
Programming Homeworks
Get in touch with GNU Octave Implementation of optimization algorithms Algorithmic optimization of test problems
- Recommended literature:
- Nocedal, Jorge and Wright, Stephen J.: Numerical Optimization. Springer Serie in Operations Research, 2006.
Kelley, C. T.: Iterative Methods for Optimization. Frontiers in Applied Mathematics 18, SIAM Philadelphia 1999;
Polak, E.: Optimization. Algorithms and Consistent Approximations.Applied Mathematical Sciences, Volume 124, Springer-Verlag New York, 1997.
Jarre, F.:Optimierung, Springer 2003;
Hamacher, H.W. and K. Klamroth, K.:Linear and Network Optimization: bilingual textbook. Vieweg 2000
- Keywords:
- optimierung optimization
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