Physics and astronomy

Foundation Mathematics B

Module code: F3302
Level 3 (sub-degree)
15 credits in spring semester
Teaching method: Lecture, Class, Workshop
Assessment modes: Unseen examination, Coursework

This module covers the foundations of Mathematics, also appropriate for Engineering and Physics.

It covers further calculus, vectors, complex numbers and series.

  • In further calculus you learn:
  • further differentiation
  • further integration
  • applications and approximate methods of integration
  • trapezium and Simpson’s rule.

With vectors you learn:

  • addition and subtraction
  • decomposition and resolution
  • scalar and vector products.

With complex numbers you learn:

  • addition, subtraction, multiplication and division
  • complex roots of quadratic equations
  • the Argand diagram.

With series and approximations you learn:

  • permutations and combinations
  • arithmetic and geometric progressions
  • binomial theorem
  • Maclaurin’s and Taylor’s theorem.

You also learn coordinate geometry including polar coordinates.

Module learning outcomes

  • Discuss and summarise fundamental definitions relating to basic analysis, complex numbers and vectors.
  • Solve mathematical problems and demonstrate arguments and concepts used.
  • Analyse, apply and interpret appropriate techniques for differentiation and integration as well as their applications.
  • Understand basic concepts of proofs.