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Module guide WS 2018-2022

Module MA4030 T

Module part: Optimization (OptiT)

Duration:


1 Semester
Turnus of offer:


each summer semester
Credit points:


8
Course of studies, specific field and terms:
  • Master Biophysics 2023 (module part), advanced curriculum, 2nd semester
  • Master MES 2020 (module part), mathematics / natural sciences, Arbitrary semester
  • Master Biophysics 2019 (module part), advanced curriculum, 2nd semester
  • Master MES 2014 (module part), mathematics / natural sciences, 2nd semester
Classes and lectures:
  • Optimization (exercise, 2 SWS)
  • Optimization (lecture, 4 SWS)
Workload:
  • 20 Hours exam preparation
  • 90 Hours in-classroom work
  • 130 Hours private studies and exercises
Contents of teaching:
  • Linear optimization (simplex method)
  • Unconstrained nonlinear optimization (gradient descent, conjugate gradients, Newton method, Quasi- Newton methods, globalization)
  • Equality- and inquality-constrained nonlinear optimization (Lagrange multipliers, active set methods)
  • Stochastic methods for machine learning
Qualification-goals/Competencies:
  • Students can model real-life problems as optimization problems.
  • They understand central optimization techniques.
  • They can explain central optimization techniques.
  • They can compare and assess central optimization techniques.
  • They can implement central optimization techniques.
  • They can assess numerical results.
  • They can select suitable optimization techniques for practical problems.
  • Interdisciplinary qualifications:
  • Students can transfer theoretical concepts into practical solutions.
  • They are experienced in implementation.
  • They can think abstractly about practical problems.
Grading through:
  • exam type depends on main module
Is requisite for:
Requires:
Responsible for this module:
  • Siehe Hauptmodul
Teachers:
Literature:
  • J. Nocedal, S. Wright: Numerical Optimization - Springer
  • F. Jarre: Optimierung - Springer
  • C. Geiger: Theorie und Numerik restringierter Optimierungsaufgaben - Springer
Language:
  • offered only in German
Notes:

(Sub-module of MA4310)

Prerequisites for enrolling in the module:
- None (the competencies covered in the modules listed under “Prerequisites” are required for this module, but are not formal prerequisites)

Prerequisites for taking the module exam(s):
- Successful completion of the exercises, including a certificate of completion, as specified at the beginning of the semester

Letzte Änderung:
31.3.2026