Module overview
This module aims to cover the continuous mathematics that's required for the computer science and software engineering programmes.
Aims and Objectives
Learning Outcomes
Knowledge and Understanding
Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:
- Continuous probability and basic statistics
- Basic linear algebra
- Basic differential and integral calculus
- Differential equations, partial differentiation and some more advanced techniques of calculus
Subject Specific Intellectual and Research Skills
Having successfully completed this module you will be able to:
- Perform calculations in simple situations and work through some longer examples
- Show logical thinking in problem solving
- Recognise continuous probability distributions
- Critically analyse and solve some mathematical problems
- Use statistical analysis, including sampling, hypothesis testing and regression
- Apply operations on vectors and matrices and solve systems of linear equations
Syllabus
Algebra
? Vectors: basic properties, operations, scalar product, vector product.
? Basis: linear independence, dimensions, coordinate transformations, orthogonal bases and projections
? Linear transformations: basic properties, matrices, inverses, determinants.
? Eigenspaces: Eigenvalues, Eigenvectors, Diagonalization.
? Solving systems of linear equations.
Calculus
? Differentiation - standard rules
? Newton's method for finding roots
? Partial differentiation
? Integration - standard integrals
? Integration by parts
? Numerical integration
Probability and statistics
? Further probability: continuous probability distributions
? Introduction to statistics: sampling, confidence intervals, hypothesis testing, regression
Learning and Teaching
Teaching and learning methods
The content of this module is delivered through lectures, the module website, directed reading, pre-recorded materials and tutorials.
Students work on their understanding through a combination of independent study, preparation for timetabled activities, tutorials, and problem classes, along with formative assessments in the form of problem sheets.
| Type | Hours |
|---|---|
| Tutorial | 12 |
| Wider reading or practice | 50 |
| Lecture | 36 |
| Preparation for scheduled sessions | 6 |
| Completion of assessment task | 10 |
| Follow-up work | 18 |
| Revision | 18 |
| Total study time | 150 |
Assessment
Assessment strategy
This module is assessed by a combination of problem sheets and a final assessment in the form of a written examination.Summative
This is how we’ll formally assess what you have learned in this module.
| Method | Percentage contribution |
|---|---|
| Problem Sheets | 10% |
| Written exam | 90% |