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Semester 1

Probability (MATH08066)

Subject

Mathematics

College

SCE

Credits

10

Normal Year Taken

2

Delivery Session Year

2022/2023

Pre-requisites

Visiting students are advised to check that they have studied the material covered in the syllabus of each pre-requisite course before enrolling.

Course Summary

A first course in Probability, assuming prior knowledge of calculus, basic combinatorics and set theory.

Course Description

Probability theory, the mathematical description of chance, is a subject in its own right but also the bedrock on which Statistics and Data Science are built. We are surrounded by important questions involving chance but our intuition on the subject is often wrong. This course aims to give an understanding of the subject that will help you understand issues where chance plays a central role as well as preparing you for further study.The course covers fundamental concepts and basic examples, assuming no previous knowledge of the subject. Some knowledge of calculus and basic combinatorics and set theory is assumed.The central topics will include:- Fundamentals of mathematical probability: sample spaces; events; independence; conditional probability and Bayes' Theorem. Discrete and continuous distributions.- Random variables: expectation; variance; sums and products.- Fundamental distributions: uniform; normal; binomial, geometric, Poisson, exponential and their applications.- The idea and applications of the central limit theorem.

Assessment Information

Written Exam 0%, Coursework 100%, Practical Exam 0%

Additional Assessment Information

Coursework 100%

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