MAT-20031 - Computational Mathematics
Coordinator: Daniel Lucas Room: MAC2.30 Tel: +44 1782 7 33081
Lecture Time: See Timetable...
Level: Level 5
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2021/22

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

None

Barred Combinations

None

Description for 2021/22

Scientific computing is one of the cornerstones of modern applied mathematics. By arming students with a high-level general purpose programming language ┐Python┐, they will be well equipped to explore a plethora of mathematical problems otherwise inaccessible to them. Moreover, students will possess a valuable, transferable skill, necessary in a large number of industries, for example, data science, engineering, meteorology and finance.
This module also will embed the use of technology to aid undergraduate mathematical studies.

Aims
┐The main aim of this module is to introduce students to the three elements of scientific computing; numerical analysis, programming and modelling.
In particular, the programming element aims to provide the students with a valuable transferrable skill in the Python programming language. We also aim to give the students a broad appreciation of the different computational tools at their disposal, and an introduction to numerical analysis.

Intended Learning Outcomes

choose and apply appropriate computational tools to help to solve and analyse a variety of problems: 1,2,3
create appropriate graphics (including interactive or animated) to illustrate a particular problem and/or solution: 1,2,3
write well commented and structured Python code with appropriate use of modules/libraries: 1,2,3
apply iterative methods to analyse and solve algebraic equations: 1,3
perform numerical integration, differentiation and numerically solve ordinary differential equations, showing knowledge of numerical convergence: 2,3
demonstrate the importance of the precision and bounds of floating point numbers: 1,2,3

Study hours

48 hours of lab sessions
102 hours private study, including watching video lectures and preparation of coursework/project

School Rules

None

Description of Module Assessment

1: Exercise weighted 25%
Programming exercises
A set of programming exercises provided in a notebook template. All answers to be accompanied by appropriate commentary. Students complete the exercises outside of class in open-book conditions and collaboration is forbidden. In total students can expect to spend 1-2 hours completing the exercises.

2: Exercise weighted 25%
Numerical analysis exercises
A set of programming exercises provided in a notebook template. All answers to be accompanied by appropriate commentary. Students complete the exercises outside of class in open-book conditions and collaboration is forbidden. In total students can expect to spend 1-2 hours completing the exercises.

3: Project weighted 50%
Individual study project
Individual project expanding on material covered during the semester. The project will require students to create a program to investigate a chosen mathematical concept. Students must include a description of the code, how to execute it and a report of the findings. This must include details of the mathematical theory involved. The length of the project, when exported to pdf, will not exceed 8 pages, including code, figures and tables, but not including appendices. Formatting guidelines will be provided.