Engineering and design

Engineering Mathematics 2

Module code: H1042
Level 5
15 credits in autumn teaching
Teaching method: Lecture, Workshop
Assessment modes: Coursework, Unseen examination

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.

Pre-requisite

Engineering Maths 1A
Engineering Maths 1B
Programming for Engineers

Module learning outcomes

  • Understand the essential features and properties of ordinary differential equations;
  • Apply different solution methodologies to ordinary differential equations including classical linear theory, Laplace transforms, and numerical methods, in order to gain physical insight into solutions.
  • Understand and apply mathematical concepts in engineering applications:
  • Understand the essentials of probability theory and statistics, and how inferences from sampled data can be quantified and used to make meaningful decisions.