MEng Chemical Engineering

Year of entry: 2024

Course unit details:
Engineering Mathematics 3

Course unit fact file
Unit code CHEN20041
Credit rating 10
Unit level Level 2
Teaching period(s) Semester 1
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

On successful completion of CHEN20041, a student will be able to… (1) Compare different methods and select a suitable method for solving differential equations or integrals. (2) Apply the ideas and concepts to systems of differential equations. (3) Explain how both differential equations and integration can arise in the process of setting up mathematical models. (4) Apply techniques and find appropriate solutions of a differential equation or integral equation. (5) Apply techniques of differential equations and integration to a chemical engineering problem. (6) Set-up differential equations or integrals to solve a chemical engineering problem. (7) Understand the limitation of solutions arising from the calculations.

Teaching and learning methods

Teaching Activities

Workshop - 16 hours
Assessment (Exam) - 50 hours
Assessment (Coursework) - 10 hours
Independent Study - 24 hours

Assessment methods

Assessment Types

Total Weighting

In-class test

20%

Exam

80%

Recommended reading

Reading lists are accessible through the Blackboard system linked to the library catalogue.

Study hours

Scheduled activity hours
Practical classes & workshops 16
Independent study hours
Independent study 24

Teaching staff

Staff member Role
Samuel De Visser Unit coordinator

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