Programme/Approved Electives for 2023/24
Available as a Free Standing Elective
MAT-10046 Calculus and MAT-10047 Algebra.
Probability is the mathematics of uncertainty and randomness. The module begins with classical notions of probability associated with the analysis of games of chance using cards, dice, etc. It then moves to the treatment of the probability of random events. This leads to the definitions of statistical independence and conditional probability. The remainder of the module is concerned with a systematic study of discrete and continuous, univariate and bivariate, random variables, covering expectation, variance, covariance. The theory is applied to a wide range of theoretical and applied problems.
The aims of the module are to study: (a) an axiomatic treatment of probability, motivated by classical notions of chance; (b) the theory of univariate and bivariate random variables and their distributions;(c) applications of the theory of univariate and bivariate random variables and their distributions.
Intended Learning Outcomes
prove and apply results that are consequences of the axioms of probability: 1,2,3calculate and apply probability distributions, expectations and variances associated with univariate random variables: 1,2calculate and apply probability distributions, expectations, variances and covariances associated with bivariate random variables: 1,2solve problems involving the concepts of independence and conditioning: 1,2,3
Lectures: 36 hoursExamples Classes: 12 hoursContinuous assessment preparation: 30 hoursPrivate study: 70 hoursUnseen examination: 2 hours
1: Assignment weighted 15%
Description of Module Assessment
Take-home assessmentContinuous online assessment during the module will consist of written coursework, problem sheets, class tests, or any combination thereof.2: Unseen Exam weighted 70%
Final examinationThe examination paper will consist of no less than five and not more than eight questions all of which are compulsory.3: Class Test weighted 15%
Class test40 minutes class test covering mainly Chapter 1.