Nonlinear Optimization

Postgraduate course

Course description

Objectives and Content

The course contains the basic framework for constructing efficient methods for solving unconstrained optimization problems. Topics include line search, trust regions and derivative-free methods for unconstrained optimization. For constrained optimization the Karush-Kuhn-Tucker theory and basic solution techniques are presented. The close connection to Machine Learning and stochastic gradient descent is discussed.

Learning Outcomes

On completion of the course INF272 the candidate will have the following learning outcomes.

The candidate

  • can explain what a continuous optimization problem is and how it can be solved.
  • can explain the mathematical theory behind the solution algorithms for continuous optimization problems..
  • can analyze the effectivity of solution methods for continuous optimization problems.
  • can discuss the connection to Machine Learning.

Level of Study


Semester of Instruction

Irregula. Runs springsemester 2023.
Required Previous Knowledge
At least 120 ECTS in computer science, preferably including some mathematics
Recommended Previous Knowledge
Credit Reduction due to Course Overlap
I274: 10 ECTS
Access to the Course
Access to the course requires admission to a programme of study at The Faculty of Mathematics and Natural Sciences
Teaching and learning methods

Lectures / 4 hours per week

Exercises / 2 hours per week

Compulsory Assignments and Attendance


Compulsory assignments are valid two semesters, the semester of the approval and the following semester.

Forms of Assessment
Oral exam.
Grading Scale
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.
Reading List
The reading list will be available within July 1st for the autumn semester and December 1st for the spring semester
Course Evaluation
The course will be evaluated by the students in accordance with the quality assurance system at UiB and the department
Examination Support Material
Programme Committee
The Programme Committee is responsible for the content, structure and quality of the study programme and courses.
Course Coordinator
Course coordinator and administrative contact person can be found on Mitt UiB, or contact mailto:studieveileder@ii.uib.noStudent adviser
Course Administrator
The Faculty of Mathematics and Natural Sciences represented by the Department of Informatics is the course administrator for the course and study programme.