- UCAS course code
- H801
- UCAS institution code
- M20
Coronavirus information for applicants and offer-holders
We understand that prospective students and offer-holders may have concerns about the ongoing coronavirus outbreak. The University is following the advice from Universities UK, Public Health England and the Foreign and Commonwealth Office.
Course unit details:
Engineering Mathematics 3
| Unit code | CHEN20041 |
|---|---|
| Credit rating | 10 |
| Unit level | Level 2 |
| Teaching period(s) | Semester 1 |
| Offered by | Department of Mathematics |
| Available as a free choice unit? | No |
Overview
First-, second- and higher-order ordinary differential equations.
Role of initial and boundary conditions.
A range of solutions to first-, second- and higher-order differential equations will be covered with and without constant coefficients.
Application of differential equations to Physical and Chemical Engineering examples.
Partial differential equations.
Characterization of solutions.
Double and triple integrals and their applications for calculating surface areas and volumes.
Cartesian, polar and spherical coordinates.
Converting integrals from Cartesian to polar or spherical coordinates.
Complex integrals and their solutions.
Gamma and Beta functions.
Pre/co-requisites
| Unit title | Unit code | Requirement type | Description |
|---|---|---|---|
| Engineering Mathematics 1 | CHEN10011 | Pre-Requisite | Compulsory |
| Engineering Mathematics 2 | CHEN10072 | Pre-Requisite | Compulsory |
Aims
The unit aims to:
Provide an introduction to the methods of integration and solution of ordinary differential equation systems arising from the mathematical modelling of chemical engineering applications.
Learning outcomes
Students will be able to:
- Explain how both differential equations and integration can arise in the process of setting up mathematical models.
- Approximate solutions of a differential equation.
- Compare different methods and chose a suitable method for solving differential equations.
- Assess the accuracy and limitation of solutions.
- Apply the ideas and concepts to systems of differential equations.
- Apply techniques within this unit to solve engineering problems.
Teaching and learning methods
A combination of lectures and interactive workshops (problem solving sessions).
Assessment methods
| Assessment Task | Weighting |
|---|---|
| Continuous assessment | 30% |
| Exam style assessment | 70% |
Recommended reading
M. R. Spiegel, Advanced Mathematics for Engineers and Scientists, McGraw-Hill Companies, New York, 1971.
F. Ayres & E. Mendelson, Calculus, 5th Edition, McGraw-Hill Companies, Inc, New York, 2009.
Study hours
| Scheduled activity hours | |
|---|---|
| Lectures | 20 |
| Tutorials | 4 |
| Independent study hours | |
|---|---|
| Independent study | 76 |
Teaching staff
| Staff member | Role |
|---|---|
| Samuel De Visser | Unit coordinator |
Additional notes
This course unit detail provides the framework for delivery in 20/21 and may be subject to change due to any additional Covid-19 impact. Please see Blackboard / course unit related emails for any further updates.