Course - Optimization II - TMA4183
TMA4183 - Optimization II
About
Examination arrangement
Examination arrangement: Portfolio assessment
Grade: Letters
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Arbeider | 10/100 | |||
| Muntlig eksamen | 90/100 | C |
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). Fundamental numerical methods.
Learning outcome
After meeting the learning objectives of the course, the student will be able to: (i) analyze control-to-state operators for model control problems; (ii) derive necessary and sufficient optimality conditions for optimal control problems with or without state constraints; (iii) assess existence of solutions to model optimal control problems; (iv) implement optimization algorithms on a computer; (v) apply optimization algorithms to model problems
Learning methods and activities
Lectures, exercises, and a semester assignment/project. Portfolio assessment is the basis for the grade awarded in the course. This portfolio comprises a final oral examination (90%) and the semester assignment (10%). Lectures will be given in English if international master or exchange students want to attend the course. If the course is taught in English, the exam will be given only in English. Students are free to choose Norwegian or English for written assessments.
Further on evaluation
In the case that the student receives an F/Fail as a final grade after both ordinary and re-sit exam, then the student must retake the course in its entirety. Submitted work that counts towards the final grade will also have to be retaken. For more information about grading and evaluation. see «Teaching methods and activities».
Recommended previous knowledge
The course TMA4145 Linear Methods or equivalent. The courses TMA4225 Foundations of Analysis, 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 2019
Language of instruction: English, Norwegian
Location: Trondheim
- Applied and Industrial Mathematics
- Mathematics
- Technological subjects
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Portfolio assessment
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD Arbeider 10/100
-
Room Building Number of candidates - Spring ORD Muntlig eksamen 90/100 C 2019-06-05 09:00
-
Room Building Number of candidates - Summer UTS Arbeider 10/100
-
Room Building Number of candidates - Summer UTS Muntlig eksamen 90/100 C
-
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"