MEng Chemical Engineering

Year of entry: 2024

Course unit details:
Engineering Mathematics 2

Course unit fact file
Unit code CHEN10072
Credit rating 10
Unit level Level 1
Teaching period(s) Semester 2
Available as a free choice unit? No

Overview

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

On successful completion of CHEN10072, a student will be able to… (1) Apply basic methods to perform routine calculations using the syllabus topics. (2) Implement numerical methods computationally to solve nonlinear problems and systems of nonlinear problems. (3) Develop critical thinking around the application of techniques in a Chemical Engineering context and in relation to syllabus. (4) Recall definitions and facts relevant to syllabus topics. (5) Apply the methods mentioned in the syllabus topics in order to carry out quantitative problem-solving.

Teaching and learning methods

Teaching Activities

Lecture - 24 hours
Assessment (Revision/Preparation) - 32 hours
Independent Study - 44 hours

Assessment methods

Assessment Types

Total Weighting

Exam

50%

Coursework

30%

Test

20%

Recommended reading

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

Study hours

Scheduled activity hours
Assessment written exam 32
Lectures 24
Independent study hours
Independent study 44

Teaching staff

Staff member Role
Steven Broom Unit coordinator

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