Last modified: 22 May 2019 17:07
This course provides a basic-level introduction to some areas of Discrete Mathematics that are of particular relevance to Computing. The course starts with a simple introduction to formal languages (starting from Regular Expressions and Finite-State Automata); it continues with an introduction to Predicate Logic (assuming basic familiarity with Propositional Logic); it concludes with an introduction to probability, focussing on Bayesian reasoning.
|Session||First Sub Session||Credit Points||15 credits (7.5 ECTS credits)|
Three main topics will be covered: 1. Introduction to formal languages: finite-state machines, regular expressions, Kleene's theorem, pushdown automata, context-free languages. 2. Introductory statistics for computing: Probability, Combinations, Permutations, Bayes' rule; the noisy channel model; principles of descriptive and inferential statistics; principles of hypothesis testing (null hypothesis, type-1 and type-2 errors, etc). 3. Topics in logic and set theory, including and introduction to predicate logic; the cardinality of Infinite sets; Cantor's diagonal argument; simple abstract applications to computability. Throughout the course, there will be an emphasis on proof methods, including methods such as proof by mathematical induction, and proof by contradiction.
This is the total time spent in lectures, tutorials and other class teaching.
1st Attempt: 2-hour written exam (75%). Continuous assessment, consisting of maths problems (25%) Resit: 2-hour written exam (75%). The continuous assessment mark will be carried forward. (25%)
Marked coursework will be returned to students within 2 weeks of submission. Consequently, this will play a role as formative (as well as summative) asessment.