| Module Title: | Applied Maths (Elective1-Core) |
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| Module Delivered In |
No Programmes
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| Teaching & Learning Strategies: |
A mix of traditional lectures and programming practicals that will enable the student to fully understand the use of mathematical methods in computer graphics and apply these ideas in their own computer code. |
| Module Aim: |
To provide the student with an understanding of the mathematics required to model the real world as applied in computer graphics. |
| Learning Outcomes |
| On successful completion of this module the learner should be able to: |
| LO1 |
carry out vector and matrix operations; |
| LO2 |
use matrices to represent and carry out transformations and rotations in 2D space; |
| LO3 |
manipulate complex numbers and use them in 2D graphics rotations; |
| LO4 |
apply the mathematical methods required for colour manipulation in computer graphics; |
| LO5 |
represent mathematical structures in computer code |
| LO6 |
write computer programmes to further explore the concepts of this syllabus |
| Pre-requisite learning |
Module Recommendations
This is prior learning (or a practical skill) that is recommended before enrolment in this module.
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| No recommendations listed |
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module. |
| No incompatible modules listed |
Co-requisite Modules
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| No Co-requisite modules listed |
Requirements
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. |
| No requirements listed |
Module Content & Assessment
| Indicative Content |
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Trigonometry
angles, trigonometric functions and Pythagoras’s theorem.
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Vectors
vector properties, operations on vectors, dot products, cross products, dimensions, normalisation, geometric interpretations
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Matrices:
matrix properties, linear systems, matrix inverses, determinants.
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Complex Numbers
the argand diagram, operations on complex numbers, conjugates, Euler's identity, 2D rotations with complex numbers.
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Transforms in 2D:
coordinate systems, simple translations, scaling transforms, rotational transforms.
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Illumination:
RGB colour, light sources, diffuse lighting, specular lighting.
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3D Engine Geometry:
lines in 3D space, planes in 3D space, the view frustum.
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| Assessment Breakdown | % |
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| Continuous Assessment | 20.00% |
| Practical | 30.00% |
| End of Module Formal Examination | 50.00% |
| Continuous Assessment |
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| Assessment Type |
Assessment Description |
Outcome addressed |
% of total |
Assessment Date |
| Other |
CA marks will be based on the results of four or five 45 minute tests held during the term. |
1,2,3,4,5,6 |
20.00 |
n/a |
| Practical |
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| Assessment Type |
Assessment Description |
Outcome addressed |
% of total |
Assessment Date |
| Practical/Skills Evaluation |
Practical marks will be allocated for participation in and completion of the practical exercises |
5,6 |
30.00 |
n/a |
| End of Module Formal Examination |
|---|
| Assessment Type |
Assessment Description |
Outcome addressed |
% of total |
Assessment Date |
| Formal Exam |
The terminal examination will include question on all aspects of the course. |
1,2,3,4,5,6 |
50.00 |
End-of-Semester |
SETU Carlow Campus reserves the right to alter the nature and timings of assessment
Module Workload
| Workload: Full Time |
| Workload Type |
Frequency |
Average Weekly Learner Workload |
| Lecture |
30 Weeks per Stage |
3.00 |
| Laboratory |
30 Weeks per Stage |
1.00 |
| Estimated Learner Hours |
30 Weeks per Stage |
1.00 |
| Total Hours |
150.00 |
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