TMA4183 - Optimization 2


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:

  1. analyze control-to-state operators for model control problems;
  2. derive necessary and sufficient optimality conditions for optimal control problems with or without state constraints;
  3. assess existence of solutions to model optimal control problems;
  4. implement optimization algorithms on a computer;
  5. apply optimization algorithms to model problems.

Learning methods and activities

Lectures, exercises, and project. Lectures will be given in English if international master or exchange students want to attend the course.

Compulsory assignments

  • Project

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 2024

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: 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.

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