MAT-10057 - Introduction to Probability and Statistics
Coordinator: Sergei Annenkov Tel: +44 1782 7 33078
Lecture Time: See Timetable...
Level: Level 4
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2021/22

None

Available as a Free Standing Elective

Yes

Co-requisites

None

Prerequisites

None.

Barred Combinations

None.

Description for 2021/22

The first part of this module is an introduction to probability. This is the Mathematical language for studying chance and uncertainty, and allows us to predict the outcomes of certain experiments providing we know enough about their design.
The remainder of the module provides an introduction to statistics, in which we study samples of data from the outcomes of experiments and seek to uncover the underlying patterns or properties.
The module develops transferable skills through modelling, problem solving, and presentations of findings.

Aims
This module introduces students to the fundamental mathematical language and concepts used in the study of chance and uncertainty, and in the analysis, interpretation, and presentation of data. This lays the foundations for subsequent modules in these areas, and their applications in other areas of the natural and social sciences.

Intended Learning Outcomes

model simple experiments using probability theory and perform standard probability calculations, including working with conditional probabilities;: 1
recall, select, and apply appropriate standard methods to summarise data;
: 2
differentiate between common types of data, and display them appropriately;: 2
apply simple formal statistical techniques and interpret the results.: 2

Study hours

40 Scheduled teaching hours comprises 20 hours lectures and 20 hours exercise classes / case study examples.
110 hours independent study, comprises 20 hours preparation for, and completion of, online exercises, 60 hours consolidation of lecture material, 30 hours preparation for, and completion of, the final assessment.

School Rules

None

Description of Module Assessment

1: Online Tasks weighted 40%
Probability exercises
Approximately 3 sets of online exercises focussing on the probability portion of the syllabus. Where possible, these will be assessed via automated methods such as MCQ's/MapleTA, so that students can receive immediate feedback. More involved questions will be marked by hand, and feedback provided in the usual manner.

2: Unseen Case - Process weighted 60%
Case study under controlled conditions
Case study to be completed in 2 hours under controlled conditions. Students will be asked to analyse previously unseen data set(s), describe and display their findings, and draw conclusions in the context of the case study. Credit will be given for well justified and accurate application of appropriate techniques, and clear interpretation and communication of conclusions.