Course - Optimization 2 - TMA4183
TMA4183 - Optimization 2
About
Examination arrangement
Examination arrangement: Oral exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Oral exam | 100/100 | 45 minutes | E |
Course content
Examples of optimal control problems for partial differential equations (PDEs). Existence of optimal controls. Control-to-state operators and adjoint states. First and second order optimality conditions. Control of linear and semi-linear elliptic PDEs. Auxiliary results from functional analysis (adjoint operators, differentiability in Banach spaces) and PDEs (weak solutions, Sobolev spaces, calculus of variations). Fundamental numerical methods.
Learning outcome
After meeting the learning objectives of the course, the student will be able to:
- analyze control-to-state operators for model control problems;
- derive necessary and sufficient optimality conditions for optimal control problems with or without state constraints;
- assess existence of solutions to model optimal control problems;
- implement optimization algorithms on a computer;
- apply optimization algorithms to model problems.
Learning methods and activities
Lectures, exercises, and project.
Compulsory assignments
- Project
Further on evaluation
Retake of examination may be given as an oral examination. The retake exam is in August.
Recommended previous knowledge
The courses TMA4145 Linear Methods and TMA4180 Optimization1 or equivalent. The courses TMA4225 Foundations of Analysis and TMA4220 Numerical Solution of Partial Differential Equations Using Element Methods (or equivalent) are an advantage.
Course materials
Will be announced at the start of the course.
Version: 1
Credits:
7.5 SP
Study level: Second degree level
Term no.: 1
Teaching semester: SPRING 2025
Language of instruction: English
Location: Trondheim
- Applied and Industrial Mathematics
- Mathematics
- Technological subjects
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Oral exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD Oral exam 100/100 E
-
Room Building Number of candidates - Summer UTS Oral exam 100/100 E
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"