Introductory description

This module follows on from CS130 Mathematics for Computer Science 1

Module aims

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

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