Unit name | Optimisation Theory and Applications |
---|---|
Unit code | EMAT30670 |
Credit points | 10 |
Level of study | H/6 |
Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
Unit director | Dr. Colin Campbell |
Open unit status | Not open |
Pre-requisites |
A knowledge of python or MATLAB |
Co-requisites |
None |
School/department | School of Engineering Mathematics and Technology |
Faculty | Faculty of Engineering |
This unit gives an overview of methods and algorithms both in linear programming (operational research) and non-linear optimisation. Techniques to be considered include: Linear Programming. Graphical solution of simple problems, basic solutions, the Simplex method, finding an initial basic solution (including artificial variables), multiple optima in the Simplex method, duality. Integer Programming. Some examples of integer programming in finance and engineering. The branch and bound method. Non-Linear Programming. The downhill simplex method. The steepest ascent method. The conjugate gradient method. Dynamic Programming (multi-stage decision making).
Aims: To give students an understanding of theory and engineering applications of linear and nonlinear optimisation, and dynamic programming.
Teaching will be delivered through a combination of synchronous and asynchronous sessions, including lectures, supported by live online sessions, problem sheets and self-directed exercises.
3 x Summative Coursework Assessments;
Assessed coursework 1 (linear programming ) Weighting 40%
Assessed coursework 2 (nonlinear optimization ) Weighting 40%
Assessed coursework 3 (dynamic programming ) Weighting 20%
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How much time the unit requires
Each credit equates to 10 hours of total student input. For example a 20 credit unit will take you 200 hours
of study to complete. Your total learning time is made up of contact time, directed learning tasks,
independent learning and assessment activity.
See the Faculty workload statement relating to this unit for more information.
Assessment
The Board of Examiners will consider all cases where students have failed or not completed the assessments required for credit.
The Board considers each student's outcomes across all the units which contribute to each year's programme of study. If you have self-certificated your absence from an
assessment, you will normally be required to complete it the next time it runs (this is usually in the next assessment period).
The Board of Examiners will take into account any extenuating circumstances and operates
within the Regulations and Code of Practice for Taught Programmes.