Full Title:Mathematics for Computer Graphics
Language of Instruction:English
Module Code:COMP C8048
 
Credits: 5
Valid From:Semester 1 - 2016/17 ( September 2016 )
Module Delivered in 2 programme(s)
Module Description:This module aims to develop the student's problem-solving skills and to provide them with a fundamental understanding of cartesian coordinates, vectors and matrices
Learning Outcomes:
On successful completion of this module the learner should be able to
  1. Apply algebraic laws and solve quadratic equations.
  2. Use the concepts of trigonometry to solve applied problems.
  3. Construct vectors and apply basic vector operations.
  4. Use matrices to manipulate objects in 2d & 3d.
 

Module Content & Assessment

Indicative Content
Numbers and Algebra
Natural numbers, prime numbers, integers, rational and irrational numbers, real numbers, complex numbers, algebraic laws, solving the roots of a quadratic equation, indices, logs
Trigonometry and Cartesian Coordinates
Trigonometric ratios, sine rule, cosine rule, compound angles, cartesian xy-plane, 3D coordinates
Vectors
2D vectors, 3D vectors, vector manipulation, unit vectors, scalar product, dot product
Matrices and Movement
Translations, scaling, reflections, rotations and scaling, determinants
Assessment Breakdown%
Course Work100.00%

Full Time

Course Work
Assessment Type Assessment Description Outcome addressed % of total Marks Out Of Pass Marks Assessment Date Duration
Continuous Assessment On-going tutorial exercises 1,2,3,4 25.00 0 0 Every Week 0
Class Test One-hour closed book class test. 1,2,3 25.00 0 0 Week 7 0
Project Practical implementation or investigation of some aspect of content, involving a cross module element. 3,4 50.00 0 0 Week 11 0
No Project
No Practical
No End of Module Formal Examination
Reassessment Requirement
A repeat examination
Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.

DKIT reserves the right to alter the nature and timings of assessment

 

Module Workload & Resources

Workload: Full Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Online Contact Lecture: Interactive, student-centred lectures during which theories and techniques are introduced and developed; Tutorial: Exercises classes during which theories & methodologies encountered in lectures are applied and tested. 3.50 Every Week 3.50
Lecturer-Supervised Learning (Contact) No Description 0.50 Every Week 0.50
Directed Reading Completion of weekly tutorial exercises and preparation for class. 2.00 Every Week 2.00
Independent Study To further knowledge and understanding of topics being covered. 2.00 Every Week 2.00
Total Weekly Learner Workload 8.00
Total Weekly Contact Hours 4.00
Workload: Part Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture Lecture: Interactive, student-centred lectures during which theories and techniques are introduced and developed; Tutorial: Exercises classes during which theories & methodologies encountered in lectures are applied and tested. 3.50 Every Week 3.50
Directed Reading Completion of weekly tutorial exercises and preparation for class. 2.00 Every Week 2.00
Independent Study To further knowledge and understanding of topics being covered. 2.00 Every Week 2.00
Lecturer-Supervised Learning (Contact) No Description 0.50 Every Week 0.50
Total Weekly Learner Workload 8.00
Total Weekly Contact Hours 4.00
Resources
Supplementary Book Resources
  • P R Vittal 2013, Analytical Geometry: 2D and 3D, 1/e, Pearson Education [ISBN: 9788131773604]
  • Vince, John, Mathematics for Computer Graphics, Springer London London [ISBN: 9781846280]
  • Ron Larson, Robert P. Hostetler, Bruce H. Edwards, David C. Falvo 2007, Precalculus Functions and Graphs: A Graphing Approach, Cengage Learning [ISBN: 9780618851553]
This module does not have any article/paper resources
Other Resources

Module Delivered in

Programme Code Programme Semester Delivery
DK_KTDCA_8 Higher Diploma in Science in 3D Computer Animation 1 Mandatory
DK_IVAVR_8 Higher Diploma in Science in Augmented and Virtual Reality Development 1 Mandatory