Engineering Mathematics 2 (H1042)

15 credits, Level 5

Autumn teaching

Topics include:

  • second order differential equations, linear homogeneous, and non-homogeneous
  • initial and boundary value problems
  • laplace transforms and associated theorems
  • convolution
  • solution of ODEs via Laplace Transforms
  • the numerical solution of ODEs
  • partial differential equations
  • line, surface and volume integrals
  • theorems of Gauss and Stokes
  • Laplace's equation
  • Poisson's equation
  • wave equation
  • probability: random variables, distribution and density functions, expectations and rms
  • Central Limit Theorem
  • estimation of parameters: moment and maximum likelihood methods, confidence intervals
  • regression: least squares fit, correlation
  • quality control: acceptance sampling, reliability, failure rates, Weibull distribution.


77%: Lecture
23%: Practical (Workshop)


20%: Coursework (Problem set)
80%: Examination (Unseen examination)

Contact hours and workload

This module is approximately 150 hours of work. This breaks down into about 43 hours of contact time and about 107 hours of independent study. The University may make minor variations to the contact hours for operational reasons, including timetabling requirements.

We regularly review our modules to incorporate student feedback, staff expertise, as well as the latest research and teaching methodology. We’re planning to run these modules in the academic year 2023/24. However, there may be changes to these modules in response to COVID-19, staff availability, student demand or updates to our curriculum. We’ll make sure to let our applicants know of material changes to modules at the earliest opportunity.


This module is offered on the following courses: