Master of Engineering (MEng)

MEng Chemical Engineering

A chemical engineering master's degree from Manchester opens up a world of opportunity.

  • Duration: 4 years
  • Year of entry: 2025
  • UCAS course code: H801 / Institution code: M20
  • Key features:
  • Study abroad
  • Scholarships available
  • Accredited course

Full entry requirementsHow to apply

Fees and funding

Fees

Tuition fees for home students commencing their studies in September 2025 will be £9,535 per annum (subject to Parliamentary approval). Tuition fees for international students will be £36,000 per annum. For general information please see the undergraduate finance pages.

Policy on additional costs

All students should normally be able to complete their programme of study without incurring additional study costs over and above the tuition fee for that programme. Any unavoidable additional compulsory costs totalling more than 1% of the annual home undergraduate fee per annum, regardless of whether the programme in question is undergraduate or postgraduate taught, will be made clear to you at the point of application. Further information can be found in the University's Policy on additional costs incurred by students on undergraduate and postgraduate taught programmes (PDF document, 91KB).

Scholarships/sponsorships

At The University of Manchester we're committed to attracting and supporting the very best students. We have a focus on nurturing talent and ability and we want to make sure that you have the opportunity to study here, regardless of your financial circumstances.

For information about scholarships and bursaries please see our undergraduate fees pages and check the Department's funding pages .

Course unit details:
Chemical Engineering Optimisation

Course unit fact file
Unit code CHEN20051
Credit rating 10
Unit level Level 2
Teaching period(s) Semester 1
Available as a free choice unit? No

Overview

Chapter 1: Introduction to Chemical Engineering Optimisation

  • Scope and hierarchy of engineering optimisation
  • Types of mathematical models in chemical engineering
  • Types of optimisation (programming) problems

Chapter 2: Construction of Mathematical Models

  • Formulation of general optimisation problems
  • Process models and constraints

Chapter 3: Fundamentals of Optimisation Theory

  • Degrees of freedom
  • Unimodality vs. Multimodality
  • Review of matrix algebra

Chapter 4: Convexity and Optimality

  • Convex functions and regions
  • Necessary & sufficient conditions for convexity
  • Necessary & sufficient conditions for an optimal solution

Chapter 5: Nonlinear Programming

  • Lagrange function for constrained optimisation
  • Necessary & sufficient conditions for constrained optimisation problems

Chapter 6: Nonlinear Programming Algorithms

  • General algorithms to solve an unconstrained optimisation problem
  • General algorithms to solve a constrained optimisation problem

Chapter 7: Linear Programming and Mixed-integer Programming

  • Introduction to linear programming
  • Graphical solution for two variable problems
  • Introduction to mixed-integer programming

Aims

This course introduces the main concepts of engineering optimisation theories (e.g. convexity, optimality) and general optimisation algorithms that are predominantly used in the chemical and biochemical industry. Its main aim is to equip the students with the essential mathematical skills for analysing, optimising, and designing (bio)chemical processes.

The course also provides a range of case studies during the class and coursework sessions to enable students to practise optimisation techniques and apply them to real chemical engineering problems. The students will learn about fundamental optimisation theories, how to formulate optimisation problems (both linear and nonlinear), select appropriate mathematical algorithms, implement curve fitting and data analysis, and calculate a high-quality numerical solution.

The course will also introduce use of advanced artificial intelligence techniques (e.g. machine learning, data-driven optimisation) for (bio)chemical process modelling and optimisation, and illustrate how these novel techniques can further improve process efficiency and sustainability.

 

Learning outcomes

ILO 1: Demonstrate fundamental knowledge of optimisation theory.

ILO 2: Create and develop mathematical models for engineering optimisation problems.

ILO 3: Choose appropriate optimisation algorithms to calculate a high-quality optimal solution.

ILO 4: Extend knowledge to the concept of complexity and optimality.

ILO 5: Select classic methods to solve unconstrained and constrained optimisation problems.

ILO 6: Describe the general procedure to solve linear programming, nonlinear programming, and mixed-integer programming problems.

ILO 7: Understand applications of modern artificial intelligence and machine learning techniques for chemical process modelling and optimisation.

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.

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

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

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

Recommended reading

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

Study hours

Scheduled activity hours
Lectures 24
Independent study hours
Independent study 76

Teaching staff

Staff member Role
Dongda Zhang Unit coordinator

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