Module Title: Applied Maths (Elective1-Core)
 Credits: 10
 NFQ Level: 6
Module Delivered In 1 programme(s)
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.

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
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
Trigonometry
angles, trigonometric functions and Pythagorasâ€™s theorem.
Vectors
vector properties, operations on vectors, dot products, cross products, dimensions, normalisation, geometric interpretations
Matrices:
matrix properties, linear systems, matrix inverses, determinants.
Complex Numbers
the argand diagram, operations on complex numbers, conjugates, Euler's identity, 2D rotations with complex numbers.
Transforms in 2D:
coordinate systems, simple translations, scaling transforms, rotational transforms.
Illumination:
RGB colour, light sources, diffuse lighting, specular lighting.
3D Engine Geometry:
lines in 3D space, planes in 3D space, the view frustum.
Assessment Breakdown%
Continuous Assessment20.00%
Practical30.00%
End of Module Formal Examination50.00%
Continuous Assessment
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
 No Project
Practical
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

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