CS131-15 Mathematics for Computer Scientists 2

23/24
Department
Computer Science
Level
Long Tran-Thanh
Credit value
15
Module duration
10 weeks
Assessment
Multiple
Study location
University of Warwick main campus, Coventry

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.

1. Number Systems: integers, conversion algorithms, modular arithmetic, real numbers, axioms, complex numbers.
2. Linear Algebra: vectors, linear independence, subspaces, basis, dimension. Matrix algebra: linear equations, inverses, linear transformations, eigenvalues/vectors.
3. Sequences and Series: limit and convergence properties of sequences and series.
4. 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

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 lecturesâ€™ 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

~Platforms - AEP

Feedback on assessment

Feedback on problem sheets given in seminars.

Pre-requisites

This module follows on from CS130

Courses

This module is Core for:

• Year 1 of G500 Computer Science
• Year 1 of G500 Computer Science
• UCSA-G503 Undergraduate Computer Science MEng
• Year 1 of G503 Computer Science MEng
• Year 1 of G503 Computer Science MEng