Description
This module introduces advanced concepts of applied mathematics relevant to the Computer Games Technology programme.
Aims
The aim of this module is to provide the student with: an appreciation of the advanced ideas and techniques in applied mathematics relevant to Computer Games Technology.
Learning Outcomes
By the end of this module the student should be able to:
1. Evaluate and solve problems involving Bézier curves and splines.
2. Evaluate and solve problems involving rigid body systems.
3. Apply and critically evaluate advanced mathematical techniques in games development.
Indicative Content
1 Geometric Techniques
Approximation of curves and surfaces in space – Bézier curves, generalized Bézier curves, de Casteljau algorithm, Splines, Catmull-Rom splines, B-splines, Surface patches.
2 Rigid Body Systems
Eigenvalues and eigenvectors; Diagonalization; Repeated and volume integrals; Inertia tensor; Euler's equation of rotation; general motion of a rigid body.
3 Games Programming
Games programming applied to realisation of the mathematical topics.
Teaching and Learning Work Loads
| Teaching and Learning Method | Hours |
| Lecture | 18 |
| Tutorial/Seminar | 18 |
| Practical Activity | 0 |
| Assessment | 80 |
| Independent | 84 |
| Total | 200 |
Guidance notes
SCQF Level - The Scottish Credit and Qualifications Framework provides an indication of the complexity of award qualifications and associated learning and operates on an ascending numeric scale from Levels 1-12 with SCQF Level 10 equating to a Scottish undergraduate Honours degree.
Credit Value – The total value of SCQF credits for the module. 20 credits are the equivalent of 10 ECTS credits. A full-time student should normally register for 60 SCQF credits per semester.
Disclaimer
We make every effort to ensure that the information on our website is accurate but it is possible that some changes may occur prior to the academic year of entry. The modules listed in this catalogue are offered subject to availability during academic year 2021/22 , and may be subject to change for future years.
