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MEng Chemical Engineering / Course details
Year of entry: 2021
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Course unit details:
Engineering Mathematics 3
|Unit level||Level 2|
|Teaching period(s)||Semester 1|
|Offered by||Department of Mathematics|
|Available as a free choice unit?||No|
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.
|Unit title||Unit code||Requirement type||Description|
|Engineering Mathematics 1||CHEN10011||Pre-Requisite||Compulsory|
|Engineering Mathematics 2||CHEN10072||Pre-Requisite||Compulsory|
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.
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).
|Exam style assessment||70%|
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.
|Scheduled activity hours|
|Independent study hours|
|Samuel De Visser||Unit coordinator|
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.