A REPORT length 3000 WORDS weighted at 100%. (all learning outcomes)

Assessment is to include both a formative and summative component

Summative:
100% 3000-word in-depth report providing a critical review of the application of mathematical concepts within their chosen domain of investigation (related to their award subject area)
(All learning outcomes) (FINAL)

Additional Details. The summative report will only be considered for marking if the formative portfolio of tests have been completed to a satisfactory level.

Formative: series of 3/4 tests that assess understanding from the 'taught' part of the course.

The content of the module consists of a taught and a research/investigation element.

1) The taught part of the course will give a revision of the fundamental concepts of mathematics applicable to computing.
- Propositional Logic - The basics and operators, truth tables, equivalence, valid arguments.
- Matrices - The basics and operators, inverse of 2 x 2 matrix, solving systems of linear equations, linear transformations in 2 dimensions.
- Elements of Set Theory - The basics concept and operators, Venn diagrams, the concept of a function and inverse functions for simple polynomials.
- Functions - an introduction to low order polynomial, logarithmic, exponential, and trigonometric functions. Solving simple equations involving these functions.
- Probability - Rules of probability, Probability trees, Conditional Probability.
- Descriptive Statistics - tabulating and charting data, averages, measures of spread.
- Introduction to graph theory - The basics, trees, least weight spanning tree, least weight path between two points, tree traversal.
- Introduction to principles of computational modelling.

All of the above will be illustrated throughout with relevant examples of application to computing.

2) The investigation element. You will select a topic with agreement of a tutor and conduct a critical review and investigation into the application and applicability of some mathematical concept(s) or principle(s) to an area of computing that lies within the subject domain of your award discipline. The concept may be one covered in the revision above or it may be different.

Foundation Mathematics, K. A. Stroud & D. J. Book, Palgrave Macmillan, 2009, ISBN-10: 0230579078, ISBN-13: 978-0230579071

Mathematics in Computing: An Accessible Guide to Historical, Foundational and Application Contexts, O'Regan, 2012, Springer, ISBN-13: 978-1447145332.

Modelling Computing Systems: Mathematics for Computer Science (Undergraduate Topics in Computer Science), Moller, F. and Georg Struth, 2013, Springer, ISBN-13: 978-1848003217

Prior completion of a level 5 qualification (e.g. HND/FDSc/DipHE) in computing or 120 credits of level 5 study in computing.

1) DEMONSTRATE A CRITICAL UNDERSTANDING OF FUNDAMENTAL MATHEMATICAL AND STATISTICAL CONCEPTS AND PROCESSES AND THEIR APPLICATION TO COMPUTING. (Analysis, Knowledge and Understanding).
2) CRITICALLY EVALUATE APPROPRIATE METHODOLOGIES FOR SOLVING QUANTITATIVE PROBLEMS. (Analysis)
3) INVESTIGATE AND CRITICALLY EVALUATE THE USE OF MATHEMATICAL CONCEPTS AND PRINCIPLES WITHIN A SPECIFIC DISCIPLINE AREA OF COMPUTING, INCLUDING THE LIMITS AND CONSTRAINTS INVOLVED IN SUCH USE. (Application, Enquiry)

The taught element of the module will be delivered via 26 hours of lectures and 13 hours of tutorials. There will also be 1 hour Surgery (whole group) session per week.

The emphasis is placed on the lectures as a vehicle for review of mathematical and statistical principles likely to have been covered elsewhere at level 4 of some award. The core material will be presented during the lectures and the tutorials will give students the opportunity to revise their practical skills through work on suitable examples. Lectures and tutorials will alternate throughout the week so that confidence can be built up before lectures move on to the next topic.