The aim of this module is to enable the learner to develop and foster their creativity and problem solving skills using mathematics. Learners will apply the fundamental practices and concepts of computer science and develop an appreciation of the diverse role of computing technology in society and the environment in which we live.
This module will ensure learners meet the following objectives:
- Recognise the applications of mathematics in computing.
- Learn about linear algebra.
- Describe the properties of geometrical shapes and use trigonometric functions.
- Understand how computers work through binary, octal and hexadecimal numbers.
- Introduction to matrices and the order of matrices
- Adding, subtracting and multiplying matrices
- The determinant and inverse of 2 x 2 and 3 x 3 matrices
- Linear equations and Gauss-Jordan elimination
- Matrix transformations: translations, scaling, stretches and rotations
- Properties of Vectors
- Adding and subtracting vectors
- Point and vector addition and subtraction
- Magnitude and direction of vectors
- Dot and cross product
- Vector transformations: translations, scaling stretches and rotations
Geometry and Trigonometry
- Lines and rays
- Spheres and circles
- The Euler characteristic
- Degrees and Radians
- Pythagoras theorem
- Sine, cos and tan
- Sine rule and cosine rule
- Distance from points to lines, rays and segments and polygons
Numbers and Computers
- Binary Numbers and their use in computing
- Adding, subtracting multiplying and dividing binary numbers
- Octal numbers
- Hexadecimal numbers
- Converting between decimal, binary, octal and hexadecimal numbers
- Floating point numbers