Module and Programme Catalogue

Search site

Find information on

2021/22 Undergraduate Module Catalogue

CAPE2000 Mathematical Techniques 2

20 creditsClass Size: 255

Module manager: Dr JEJ Staggs
Email: j.e.j.staggs@leeds.ac.uk

Taught: Semesters 1 & 2 (Sep to Jun) View Timetable

Year running 2021/22

Pre-requisite qualifications

A-level mathematics or attendance at CAPE1050 Foundation Mathematics

Pre-requisites

CAPE1040Mathematical Techniques 1

This module is not approved as a discovery module

Objectives

The aim of the module is to provide sufficient mathematical background knowledge to support the understanding of the various Engineering disciplines taught across SCAPE.

Learning outcomes
At the end of the module students should:
- Have a knowledge of advanced mathematical techniques to enable study in numerate engineering subjects such as heat transfer, fluid dynamics and thermodynamics.
- Have basic skills in statistics and numerical methods.
- Further develop problem solving skills.


Syllabus

- Power series and applications
- Fourier series
- Review of vectors, matrices and determinates
- Concepts of vector calculus
- Applications of vector calculus to fluid dynamics and heat transfer

Statistics - Revision of basic concepts; Discrete distributions: the binomial distribution and Poisson distribution. Continuous distributions: the normal distribution (and the relationship with the binomial distribution); Sampling: properties of the estimated values; sampling distribution of mean and variance; confidence intervals. Significance tests. Goodness of fit.
Numerical Methods - Numerical integration and Error Estimates; Introduction to solution of first order ODES; Numerical solution of initial value problems; Approximate solution of algebraic equations.

Teaching methods

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

Delivery typeNumberLength hoursStudent hours
Example Class201.0020.00
Lecture401.0040.00
Private study hours140.00
Total Contact hours60.00
Total hours (100hr per 10 credits)200.00

Private study

Working through weekly problem sheets
Reviewing lectures

Opportunities for Formative Feedback

Two formative assessments throughout the year and weekly problem classes that will provide feedback on progress in preparation for the exams.

Methods of assessment

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information


Coursework
Assessment typeNotes% of formal assessment
AssignmentAssignment25.00
AssignmentAssignment25.00
Total percentage (Assessment Coursework)50.00

Resits will be assessed by a 3 hour examination


Exams
Exam typeExam duration% of formal assessment
Online Time-Limited assessment2 hr 50.00
Total percentage (Assessment Exams)50.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Reading list

The reading list is available from the Library website

Last updated: 30/06/2021 16:24:15

Disclaimer

Browse Other Catalogues

Errors, omissions, failed links etc should be notified to the Catalogue Team.PROD

© Copyright Leeds 2019