In optimization, the aim is to find the best, the minimum or maximum, solution to a problem formulated in mathematical terms. This course covers theory and algorithms for optimization when the problem is non-linear, which is common in a number of applications. The course considers problems with and without non-linear constraints. There is a vast freedom in how these problems can be formulated and solved. Thus, the course encompasses different optimization approaches and algorithms, as well as the theory of non-linear problems, optimality conditions, rate of convergence, sensitivity analysis, and least squares problems. Furthermore, the course covers how this knowledge can be applied in two or three selected application areas, such as geometrical measurement problems and design optimization. The course includes computer labs to provide proficiency training and increased understanding of the selected applications. Altogether, this equips the students with the tools needed to solve many important problems.
At least 90 ECTS, including 60 ECTS Computing Science, or 120 ECTS within a study programme. At least 7.5 ECTS programming; 7.5 ECTS linear algebra; 7.5 ECTS numerical linear algebra; 15 ECTS differential and integral calculus; and 4.5 ECTS numerical analysis. Proficiency in English equivalent to the level required for basic eligibility for higher studies.
Academic credits
Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.
Application code
UMU-57002
Application
The online application opens 17 March 2025 at 09:00 CET.
Application deadline is
15 April 2025. How to apply
Application and tuition fees
As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.
