This programme has been designed to ensure you achieve high academic standards and gain the skills and knowledge needed to succeed at university.
Course
Mathematics for Computer Science FC0001
Module information>
This module introduces the mathematical concepts and tools needed for further study in computer science and STEM. By the end of the module, you will have gained a grounding in arithmetic and algebra, and become familiar with the fundamentals of calculus and trigonometry.
About this module
The major aims of this module are to provide a grounding in arithmetic and algebra, an overview of functions and the fundamentals of calculus and trigonometry, as well as an introduction to various other mathematical concepts that will be useful in further study.
Topics covered
- Arithmetic and algebra
- Linear equations and straight lines
- Quadratic equations and parabolae
- Functions
- Calculus I – Differentiation
- Calculus II – More differentiation
- Calculus III – Optimisation
- Sequences and series
- Logic, proof and sets I – Introducing logic and proof
- Logic, proof and sets II – Logical equivalence
- Logic, proof and sets III – Quantifiers and more proof
- Logic, proof and sets IV – Sets
- Trigonometry I – Functions, identities and equations
- Trigonometry II – More trigonometric identities
- Vectors I – Introducing vectors
- Vectors II – Vector geometry
Learning outcomes
If you complete the module successfully, you will be able to:
- manipulate algebraic expressions
- graph and differentiate simple functions
- perform calculations involving sequences, series and vectors
- use and prove simple statements involving logical symbols and set notation.
Assessment
Unseen written exam (Two-hours 15 minutes).