Module Leader

Dr Samuel Cooper

Learning Outcomes

This course focus in particular on the intuitive understanding of topics, rather than investing too much time grinding through the calculations. It is taught using the “inverted classroom” approach, where students are expected to have already watched specific lecture videos online before engaging with an interactive learning experience in class. This modern approach has proved to be extremely effect for other courses at Imperial and seems to make learning maths considerably more enjoyable.

On successful completion of the module, students should be able to:
  • Recognise the basic vocabulary of vector, real, complex and numerical analysis
  • Recognise the symbolic representations of scalar, vector and complex variables typically used in engineering analysis, and of the principal functions and operators to manipulate them
  • Translate two-dimensional problems from mathematical to graphical representation, and vice versa
  • Correctly manipulate functions of mathematical objects commonly used to represent physical quantities in engineering systems
  • Gain confidence in handling and understanding mathematical expressions
  • Understand how to translate mathematical concepts into solutions using pen and paper, as well as computational methods

 

Description of Content

The module aims to provide students with sufficient mathematical tools and techniques to tackle a variety of engineering design problems. The main topics include:
  • Algebra (vectors, complex numbers, matrices and transformations, solving equations using matrices, eigenvalues and eigenvectors)
  • Analysis (Sequences, series, functions, curve sketching, introduction to Fourier series, limits)
  • Calculus (differentiation and integration of functions of one variable, Taylor series, first and second order differential equations, introduction to partial differentiation)
  • Computational maths (introduction to numerical analysis, numerical root finding)
  • Probability (the normal distribution and the error function)