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MEng Chemical Engineering / Course details

Year of entry: 2021

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Course unit details:
Engineering Mathematics 2

Unit code	CHEN10072
Credit rating	10
Unit level	Level 1
Teaching period(s)	Semester 2
Offered by	Department of Mathematics
Available as a free choice unit?	No

Overview

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.

Matrices and algebraic properties. Definition of determinant and properties. Identity, diagonal, transpose, upper/lower triangular and inverse matrices.

Solving systems of linear equations through Gaussian Elimination. Solving systems of nonlinear equations using the Newton-Raphson method.

First order ordinary differential equations (ODEs). Analytical solution by separation of variables and by the integrating factor.

Laplace transforms. Transforms and inverse transforms of functions. Transforms of derivatives. Application to solution of ordinary differential equations.

Numerical solution of ODEs and systems of ODEs using Euler and Runge-Kutta Methods.

Aims

The unit aims to:

Provide the background mathematics and IT skills required for subsequent chemical engineering courses in mathematically oriented topics. Engineering applications are to be introduced where relevant.

Learning outcomes

1.Recall definitions and facts relevant to syllabus topics.

2.Preform routine calculations using the syllabus topics.

3.Use the methods mentioned in the syllabus topics in order to carry out quantitative problem-solving.

4.Implement numerical methods computationally.

5. Develop critical thinking around the application of techniques in a Chemical Engineering context and in relation to syllabus

Teaching and learning methods

This course will consist of lectures and practical, problem solving sessions. Resources will be available electronically on Blackboard.

Knowledge and understanding

Recall definitions and facts relevant to syllabus topics.

Carry our routine calculations using the syllabus topics.

Intellectual skills

Use the methods mentioned in the syllabus topics in order to carry out quantitative problem-solving.

Practical skills

Implement numerical methods computationally e.g. in MATLAB.

Transferable skills and personal qualities

Appreciate the use of techniques in a Chemical Engineering context and in relation to syllabus.

Develop problem-solving skills.

Develop independent critical thinking.

Assessment methods

Method	Weight
Other	30%
Written exam	70%

Feedback methods

Generic exam feedback form after exam board.

Study hours

Scheduled activity hours
Lectures	24

Independent study hours
Independent study	76

Teaching staff

Staff member	Role
Steven Broom	Unit coordinator

Additional notes

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