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MEng Chemical Engineering / Course details

Year of entry: 2021

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:

  1. Explain how both differential equations and integration can arise in the process of setting up mathematical models.
  2. Approximate solutions of a differential equation.
  3. Compare different methods and chose a suitable method for solving differential equations.
  4. Assess the accuracy and limitation of solutions.
  5. Apply the ideas and concepts to systems of differential equations.
  6. 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.

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