Course content

Introduction to linear optimization (linear programming). Basic theory, methods and applications. The simplex algorithm. Duality theory. Linear systems of inequalities. Linear network optimization.

Learning outcome

The goal of this course is for students to:

  • have knowledge of basic optimization
  • be able to formulate and solve practical linear optimization problems (LP)
  • know the simplex algorithm and other algorithms for LP
  • understand some mathematical aspects of linear optimization
  • be familiar with duality and applications in e.g. game theory and optimization in networks (graphs)

Admission

Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.

Prerequisites

Formal prerequisite knowledge

In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:

  • Mathematics R1 or Mathematics (S1+S2)

The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies. Read more about special admission requirements (in Norwegian).

Recommended previous knowledge

Basic courses in introductory programming, calculus, and linear algebra.

MAT1100 – Calculus /MAT 100, MAT1110 – Calculus and Linear Algebra /MAT 110, MAT1120 – Linear Algebra /MAT 120 and MAT-INF1100 – Modelling and Computations (discontinued) /MAT 100.

Overlapping courses

10 credits INF-MAT4370 – Linear optimization (discontinued) and 9 credits MoD 233

Teaching

2 hours of lectures and 2 hours of problem solving sessions each week. Compulsory programming/problem solving exercises. Rules for mandatory assignments.

Examination

4 hour written final examination. The mandtory assignments must be approved prior the exam. General information about the examination.

Examination support material

No examination support material is allowed.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

The Course Auditor is Trond Steihaug.

Resit an examination

This subject does not offer new examination in the beginning of the subsequent term for candidates who withdraw during an ordinary examination or fail an ordinary examination. For general information about new examination, see /studier/admin/eksamen/sykdom-utsatt/mn/index.html and /english/studies/admin/examinations/new-exam/index.html

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

The subject is regarded equal to INF-MAT4370 - Linear optimization and MoD 233 when practicing exam regulations.

Other

It is strongly recommended to attend the first lecture since it will be given important information.

Facts about this course

Credits
10
Level
Bachelor
Teaching
Every spring
Examination
Every spring
Teaching language
Norwegian (English on request)