# 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:

• 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.