Module details for Applied Mathematics 4

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

For session 2020/21 the expectation is that the teaching and learning hours stated in this descriptor will form a mix of synchronous and asynchronous student/staff activity, with the majority of this being online. The exact pattern of this activity is likely to vary from the standard face-to-face hours listed below but the overall student effort remains the same. Up-to-date information on the delivery of the module can be found on the relevant module MLS site and on your student timetable.

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 2020/21 , and may be subject to change for future years.