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# MEng Chemical Engineering with Study in Europe / Course details

Year of entry: 2021

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## Course unit details:Engineering Mathematics 2

Unit code CHEN10072 10 Level 1 Semester 2 Department of Mathematics 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

ILO: 1Recall definitions and facts relevant to syllabus topics.

ILO 2:Preform routine calculations using the syllabus topics.

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

ILO 4:Implement numerical methods computationally.

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

### 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

### 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

 Assessment Types Total Weighting Continuous assessment 30% Exam style assessments 70%

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

### Feedback methods

Generic exam feedback form after exam board.

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

### Study hours

Independent study hours
Independent study 0

### Teaching staff

Staff member Role
Steven Broom Unit coordinator