School of Science and Technology

Course Syllabus

General aims for first cycle education

First-cycle courses and study programmes shall develop:
- the ability of students to make independent and critical assessments
- the ability of students to identify, formulate and solve problems autonomously, and
- the preparedness of students to deal with changes in working life.

In addition to knowledge and skills in their field of study, students shall develop the ability to:
- gather and interpret information at a scholarly level
- stay abreast of the development of knowledge, and
- communicate their knowledge to others, including those who lack specialist knowledge in the field.

(Higher Education Act, Chapter 1, Section 8)

Knowledge and Understanding
After completed studies, the student shall have
- know about the most important problems in discrete and continuous optimization, and
- know and being able to use the most important methods for solving discrete and continuous optimization problems.

Competence and Skills
After completed studies, the student shall be able to
- formulate an optimization problem from a real world,
- recognize different types of optimization problems,
- account for and use the most important concepts in optimization,
- account for the fundamental theory and methods for linear programs, and
- account for the fundamental theory and methods for the most important discrete and continuous optimization problems.

Fundamental concepts in optimization. The formulation of optimization problems. Global and local optimum. Constraints. Convexity. Line search methods. Linear programs with applications. The Simplex method. Duality. Integer and combinatorial optimization. Relaxation. Branch and bound. Branch and cut. Heuristic methods. Nonlinear programming with applications. Necessary and sufficient conditions for optimum. Gradient methods. Newtons method. Quasi-Newton methods. Nonlinear programming with constraints and applications. KKT-conditions. Projeced gradient methods. Linear and quadratic programs. Programming in Matlab and GAMS.

The teaching will be in the form of lectures and exercises in computer lab.
The teaching methods may be altered, should only a few students take the course.

Students who have been admitted to and registered on a course have the right to receive tuition and/or supervision for the duration of the time period specified for the particular course to which they were accepted (see, the university's admission regulations (in Swedish)). After that, the right to receive tuition and/or supervision expires.

For further information, see the university's local examination regulations (in Swedish).

According to the Higher Education Ordinance, Chapter 6, Section 18, a grade is to be awarded on the completion of a course, unless otherwise prescribed by the university. The university may prescribe which grading system shall apply. The grade is to be determined by a teacher specifically appointed by the university (an examiner).

According to regulations on grading systems for first- and second-cycle education (vice-chancellor's decision 2010-10-19, reg. no. CF 12-540/2010), one of the following grades is to be used: fail, pass, or pass with distinction. The vice-chancellor or a person appointed by the vice-chancellor may decide on exceptions from this provision for a specific course, if there are special reasons.

Grades used on course are Fail (U), Pass (G) or Pass with Distinction (VG).

For further information, see the university's local examination regulations (in Swedish).

Computational Mathematics I, 9 Credits, Mathematical Modelling and Problem Solving, 6 Credits.

For further information, see the university's admission regulations (in Swedish).

Students who have previously completed higher education or other activities are, in accordance with the Higher Education Ordinance, entitled to have these credited towards the current programme, providing that the previous studies or activities meet certain criteria.

For further information, see the university's local credit transfer regulations (in Swedish).

All or part of the course may be given in English.


Transitional Provisions

When a course has been discontinued or been the subject of major changes there are specific rules regarding examination /completion of compulsory components.

Required Reading

Material som tillhandahålls av enheten för matematik.

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