CS131-15 Mathematics for Computer Scientists 2
Introductory description
This module follows on from CS130 Mathematics for Computer Science 1
Module aims
The module aims to provide students with sufficient mathematical knowledge to enable them to understand the foundations of their subject for both study purposes and later career development.
It seeks to bridge the gap in style and content between A-level and university mathematics, and to introduce students to the language and methods of professional mathematics.
Outline syllabus
This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.
- Number Systems: integers, conversion algorithms, modular arithmetic, real numbers, axioms, complex numbers.
- Linear Algebra: vectors, linear independence, subspaces, basis, dimension. Matrix algebra: linear equations, inverses, linear transformations, eigenvalues/vectors.
- Sequences and Series: limit and convergence properties of sequences and series.
- Calculus: Limits, continuity, differentiable functions, differentiation of inverse functions, integration, logarithms, exponentials, Taylor's theorem.
Learning outcomes
By the end of the module, students should be able to:
- - Carry out formal and informal mathematical proofs.
- - Use effectively techniques for the analysis and transformation of vector spaces and the solution of sets of linear equations.
- - Perform operations of the differential and integral calculus with confidence and precision.
- - Apply conversion algorithm between different number systems, understand concept of a complex number and its properties
Indicative reading list
Please see Talis Aspire link for most up to date list.
View reading list on Talis Aspire
Subject specific skills
- Critical thinking
- Problem solving
- Quantitative reasoning
- Analytical thinking
- Construction of logical arguments
Transferable skills
- Critical thinking
- Technical
- Good working habits of being thorough and independent
- Creativity
Study time
Type | Required |
---|---|
Lectures | 30 sessions of 1 hour (20%) |
Seminars | 9 sessions of 1 hour (6%) |
Private study | 111 hours (74%) |
Total | 150 hours |
Private study description
Weekly revision of lectures’ material
Solving non-assessed exercises (week 1, week 2, week 4, week 6, week 8)
Solving assessed problem sheets (week 3, week 5, week 7, week 9)
Preparation for exam (solving past exam papers)
Costs
No further costs have been identified for this module.
You do not need to pass all assessment components to pass the module.
Students can register for this module without taking any assessment.
Assessment group D2
Weighting | Study time | |
---|---|---|
Assigned problem sheet | 3% | |
Problem sheet 1 |
||
Problem Sheet 2 | 3% | |
Problem Sheet 3 | 4% | |
Problem Sheet 4 | 10% | |
In-person Examination | 80% | |
|
Assessment group R1
Weighting | Study time | |
---|---|---|
In-person Examination - Resit | 100% | |
CS131 resit exam
|
Feedback on assessment
Feedback on problem sheets given in seminars.
Pre-requisites
This module follows on from CS130
Courses
This module is Core for:
-
UCSA-G500 Undergraduate Computer Science
- Year 1 of G500 Computer Science
- Year 1 of G500 Computer Science
-
UCSA-G503 Undergraduate Computer Science MEng
- Year 1 of G500 Computer Science
- Year 1 of G503 Computer Science MEng
- Year 1 of G503 Computer Science MEng
- Year 1 of UCSA-I1N1 Undergraduate Computer Science with Business Studies