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.
Univ: To be admitted you must have (or equivalent) 90 ECTS-credits including 60 ECTS-credits in Computing Science or two years of completed studies within a study programme (120 ECTS-credits). In both cases, the studies must include at least 15 ECTS-credits within Calculus, 7.5 ECTS-credits in Linear Algebra, at least 7.5 ECTS-credits within Programming methodology, at least 4.5 ECTS-credits within Scientific computing/Numerical Analysis, and at least 7.5 ECTS-credits within Matrix computations.
Proficiency in English equivalent to Swedish upper Secondary course English A/5. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.
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 deadline was
19 April 2022.
Please note: This second application round is intended only for EU/EEA/Swiss citizens.