Course Syllabus for students Spring 2019

After a successful course, the student shall;

- show familiarity with basic optimization algorithms and their use.
- display knowledge about how structural and design optimization can be used during the design process
- demonstrate comprehension of how optimization driven design is used in the development of sustainable products.

- demonstrate the ability to use topology optimization in structural analyses
- demonstrate the ability to perform sensitivity analyses.

- demonstrate the ability to perform a major optimization driven design project.

The course includes the following elements:
- Introduction to optimization driven design; linear programming.
- Unconstrained optimization; the steepest descent method, Newton’s method, secant methods.
- Constrained optimization; Karush-Kuhn-Tucker conditions, quadratic programming, active set strategies, penalty and barrier function methods.
- Convex optimization and variational inequalities, with applications in mechanical engineering.
- Structural optimization; distributed parameter systems, shape and topology optimization.

Lectures, computer assignments, given in English.

The teaching is conducted in English.

Passed courses 180 credits in first cycle, at least 90 credits within the major subject Mechanical Engineering, and 21 credits Mathematics, and completed course Non-linear Finite Element Analysis, 6 credits. Proof of English proficiency is required (or the equivalent).

The course is graded 5,4,3 or Fail.

Name of the Test	Value	Grading
Written examination	5 credits	5/4/3/U
Laboratory work	2.5 credits	U/G

Lecture notes distributed digitally.