Computational Mathematics
Undergraduate course, Manchester Metropolitan University, 2022
A second year unit that examines the implementation of mathematics in modern computing applications such as computer graphics used in computer games and digital sound processing.
Topics include:
- vectors
- co-ordinate geometry
- rotation, scaling and translation transformations
- object space, world space, camera space and screen space transformations
- clipping
- hidden surface removal.
Topics include:
- quantisation
- signals
- Fourier series
- frequency spectra
- the Discrete Fourier Transform (DFT)
- the Fast Fourier Transform (FFT)
- creation of digital music.
Topics include:
- binary and hexadecimal number systems
- logic gates and logic circuits
- Boolean algebra
- Karnaugh maps
- half and full adders
- algorithms
- complexity and recursion