# MEng Chemical Engineering with Energy and Environment / Course details

Year of entry: 2023

## Course unit details:Engineering Mathematics 3

Unit code CHEN20041 10 Level 2 Semester 1 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

ILO: 1 Explain how both differential equations and integration can arise in the process of setting up mathematical models.

ILO 2: Approximate solutions of a differential equation.

ILO 3: Compare different methods and chose a suitable method for solving differential equations.

ILO 4: Assess the accuracy and limitation of solutions.

ILO 5: Apply the ideas and concepts to systems of differential equations.

ILO 6: Apply techniques within this unit to solve engineering problems.

### Teaching and learning methods

Lectures provide fundamental aspects supporting the critical learning of the module and will be delivered as pre-recorded asynchronous short videos via our virtual learning environment.

Synchronous sessions will support the lecture material with Q&A and problem-solving sessions where you can apply the new concepts. Surgery hours are also available for drop-in support.

Feedback on problems and examples, feedback on coursework and exams, and model answers will also be provided through the virtual learning environment. A discussion board provides an opportunity to discuss topics related to the material presented in the module.

Students are expected to expand the concepts presented in the session and online by additional reading (suggested in the Online Reading List) in order to consolidate their learning process and further stimulate their interest to the module.

Study budget:

• Core Learning Material (e.g. recorded lectures, problem solving sessions): 24 hours
• Self-Guided Work (e.g. continuous assessment, extra problems, reading)     : 44 hours
• Exam Style Assessment Revision and Preparation: 32 hours

### Assessment methods

 Assessment Types Total Weighting Mid-semester exam style assessment 20% Exam style assessments 80%

Please note that the exam style assessments weighting may be split over midterm and end of semester exams.