TMA4183 - Optimization 2


Examination arrangement

Examination arrangement: Portfolio assessment
Grade: Letters

Evaluation Weighting Duration Grade deviation Examination aids
Work 10/100
Oral examination 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, calculus of variations). 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».

Course materials

Will be announced at the start of the course.

More on the course

Version: 1
Credits:  7.5 SP
Study level: Second degree level


Term no.: 1
Teaching semester:  SPRING 2022

Language of instruction: English, Norwegian

Location: Trondheim

Subject area(s)
  • Applied and Industrial Mathematics
  • Mathematics
  • Technological subjects
Contact information
Course coordinator:

Department with academic responsibility
Department of Mathematical Sciences


Examination arrangement: Portfolio assessment

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Spring ORD Work 10/100 INSPERA
Room Building Number of candidates
Spring ORD Oral examination 90/100 C 2022-05-24
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"

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