Physics and astronomy
Foundation Mathematics B
Module code: F3302
Level 3 (sub-degree)
15 credits in spring teaching
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.