CS13115 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 Alevel 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 lecturesâ€™ material
Solving nonassessed 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%  
Inperson Examination  80%  

Assessment group R1
Weighting  Study time  

Inperson Examination  Resit  100%  
CS131 resit exam ~Platforms  AEP

Feedback on assessment
Feedback on problem sheets given in seminars.
Prerequisites
This module follows on from CS130
Courses
This module is Core for:

UCSAG500 Undergraduate Computer Science
 Year 1 of G500 Computer Science
 Year 1 of G500 Computer Science

UCSAG503 Undergraduate Computer Science MEng
 Year 1 of G503 Computer Science MEng
 Year 1 of G503 Computer Science MEng
 Year 1 of UCSAI1N1 Undergraduate Computer Science with Business Studies