Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.


Students will be introduced and traines for some fundamental skills for solving convex optimization problems. They will be introduced to duality theory and optimality conditions. They will build a background required to use the convex optimization methods and numerical algorithms in their own research or engineering work. They will be also  provided with a number of examples of successful application of convex optimization techniques in engineering, science, and economics.

Credits: 5

Schedule: 03.11.2021 - 15.12.2021

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Sergiy Vorobyov

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English


  • valid for whole curriculum period:

    Optimality conditions, duality theory, theorems of alternative. Minimax, extremal volume, and other application problems. Introduction to interior-point methods.

Assessment Methods and Criteria
  • valid for whole curriculum period:

    Lectures, exercises, assignments, final exam.

  • valid for whole curriculum period:

    Lectures, exercises, final exam approximately 30 h

    Assignments, independent work approximately 103 h

    Total 133 h

    Attendance in some contact teaching may be compulsory.


Substitutes for Courses
SDG: Sustainable Development Goals

    9 Industry, Innovation and Infrastructure


Further Information
  • valid for whole curriculum period:

    Teaching Period:

    2020-2021 Autumn II

    2021-2022 Autumn II

    Course Homepage:

    Registration for Courses: In the academic year 2021-2022, registration for courses will take place on Sisu ( instead of WebOodi.

    In WebOodi