312.266 (21S) Selected Topics in Optimization
Overview
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- Lecturer
- Course title german Selected Topics in Optimization
- Type Lecture
- Hours per Week 2.0
- ECTS credits 3.0
- Registrations 12
- Organisational unit
- Language of instruction English
- Course begins on 01.03.2021
- eLearning Go to Moodle course
Time and place
Course Information
Intended learning outcomes
Participants are expected to get familiar with advanced topics from optimization. This includes an understanding of duality in combination with hands-on experience with solution methods for optimization problems.
Teaching methodology including the use of eLearning tools
Classroom lectures combined with practical hands-on experience by the participants.
Course content
Linear programs over cones, with focus on the cone of semidefinite matrices,
modeling of discrete problems using semidefinite matrices
application to several NP-hard graph optimization problems
convex analysis and nonsmooth optimization
Prior knowledge expected
vector calculus (gradient, Hessian, Taylor expansions)
eigenvalue theory of symmetric matrices
basics from graph theory
basics from combinatorial optimization
Literature
There will be lecture notes, and additional literature will be made available during the course.
Examination information
Grading scheme
Grade / Grade grading schemePosition in the curriculum
- Thematic Doctoral Programme Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(SKZ: ---, Version: 16W.1)
-
Subject: Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(Compulsory subject)
-
Modeling-Analysis - Optimization of discrete, continuous and stochastic systems (
0.0h XX / 0.0 ECTS)
- 312.266 Selected Topics in Optimization (2.0h VO / 3.0 ECTS)
-
Modeling-Analysis - Optimization of discrete, continuous and stochastic systems (
0.0h XX / 0.0 ECTS)
-
Subject: Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(Compulsory subject)
- Masterstudium Mathematics
(SKZ: 401, Version: 18W.1)
-
Subject: Discrete Mathematics
(Compulsory elective)
-
6.8 Selected Topics in Optimization (
2.0h VO / 3.0 ECTS)
- 312.266 Selected Topics in Optimization (2.0h VO / 3.0 ECTS)
-
6.8 Selected Topics in Optimization (
2.0h VO / 3.0 ECTS)
-
Subject: Discrete Mathematics
(Compulsory elective)
- Masterstudium Mathematics
(SKZ: 401, Version: 18W.1)
-
Subject: Applied Mathematics
(Compulsory elective)
-
Lehrveranstaltungen aus den Vertiefungsfächern (
0.0h XX / 12.0 ECTS)
- 312.266 Selected Topics in Optimization (2.0h VO / 3.0 ECTS)
-
Lehrveranstaltungen aus den Vertiefungsfächern (
0.0h XX / 12.0 ECTS)
-
Subject: Applied Mathematics
(Compulsory elective)
- Doctoral programme Doctoral programme in Technical Sciences
(SKZ: 700, Version: 12W.4)
-
Subject: Studienleistungen gem. § 3 Abs. 2a des Curriculums
(Compulsory subject)
-
Studienleistungen gem. § 3 Abs. 2a des Curriculums (
16.0h XX / 32.0 ECTS)
- 312.266 Selected Topics in Optimization (2.0h VO / 3.0 ECTS)
-
Studienleistungen gem. § 3 Abs. 2a des Curriculums (
16.0h XX / 32.0 ECTS)
-
Subject: Studienleistungen gem. § 3 Abs. 2a des Curriculums
(Compulsory subject)
- Doctoral programme Doctoral programme in Technical Sciences
(SKZ: 786, Version: 12W.4)
-
Subject: Studienleistungen gem. § 3 Abs. 2a des Curriculums
(Compulsory subject)
-
Studienleistungen gem. § 3 Abs. 2a des Curriculums (
16.0h XX / 32.0 ECTS)
- 312.266 Selected Topics in Optimization (2.0h VO / 3.0 ECTS)
-
Studienleistungen gem. § 3 Abs. 2a des Curriculums (
16.0h XX / 32.0 ECTS)
-
Subject: Studienleistungen gem. § 3 Abs. 2a des Curriculums
(Compulsory subject)