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UCL Mechanical Engineering
Faculty of Engineering Sciences


ENGF0004 Modelling and Analysis II

ENGF0004 Modelling and Analysis II

This module is taught by the Faculty of Engineering Sciences as part of the Integrated Engineering Programme (IEP). Please consult the Integrated Engineering Programme website for the most up-to-date information about IEP modules.

FHEQ Level:
5 (Undergraduate Yr 2)
Terms 1 and 2
UCL / ECTS Credits:
15 UCL / 7.5 ECTS
Previous Module Code:
ENGF0003 Mathematical Modelling and Analysis 1 (or equivalent)

Taught By

Dr Abel Nyamapfene (Module Coordinator):
Abel Nyamapfene

Module Overview

This module builds on the first year mathematical modelling and analysis module (ENGF0003) by helping you to develop an understanding of the advanced mathematical and statistical concepts that underpin the study of each engineering discipline. Students will solve research-based and practical engineering problems drawn from their engineering discipline using these advanced mathematical and statistical concepts. This will be achieved through mathematical modelling, analysis and simulation using software tools routinely used within their engineering discipline, including MATLAB and Excel.

Topics Covered

  • Series and Transforms
  • Partial Differential Equations (PDEs) for Engineers
  • Vector Calculus, Matrices, Eigenvectors and Eigenvalues
  • Statistics and Data Analysis

Learning Outcomes

Upon completion of this module students will be able to:

  • Recognise the connections between mathematics and engineering, and how mathematical ideas are embedded in engineering contexts.
  • Represent real-world systems from engineering in a mathematical framework.
  • Identify and draw upon a range of advanced mathematical concepts, including Vector Calculus, Matrices and Eigenvectors/Values, Statistics, Series and Transforms, and Partial Differential Equations (PDEs) to analyse specific problems and identify the appropriate mathematics to realise a solution.
  • Employ appropriate computer programming and modelling techniques and statistical analysis to efficiently solve and evaluate the performance of engineering systems.
  • Relate the behaviour of the output of mathematical models to the underlying physical or conceptual models of interest.
  • Carry out engineering problem solving both collaboratively in a team and independently.
  • Present and interpret mathematical results in effective and appropriate ways to varied audiences, including non-mathematical engineering audiences.

Method of Instruction

This module is delivered by lectures followed by smaller group workshops led by each department. This approach is underpinned by a suite of online mathematical support resources as well as a walk-in student-led Engineering Mathematics Support team.


This module is assessed through a combination of unseen written examination and coursework exercises.

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