# ST208 - Mathematical Methods

• Module code: ST208
• Module name: Mathematical Methods
• Department: Statistics
• Credit: 12

## Module content and teaching

###### Principal aims

This is a course of techniques which are in everyday use in probability and statistics, and which are essential to a proper understanding of any second or third year course in these subjects. It will provide the mathematical background for optimization, convergence, regression and best approximation and to develop mathematical thinking.

###### Principal learning outcomes

At the end of the course students will be familiar with and be able to apply the following concepts and techniques:a) multivariate calculus; multiple integration, calculation of volumes, under surfaces; change of variable formule and Fubinis Theorem; partial derivatives, critical points and extrema; constrained optimization; b) eigenvalues/eigenvectors; diagonalisation and Jordan normal form; characteristic polynormals; constant co-efficient differential equations; orthogonal bases and orthonormalisation; generalised Fourier co-efficients; quadratic forms; projections; Spectral Decomposition Theorem; c) metrics; open, closed and compact sets; convergence and continuity in metric spaces.

###### Timetabled teaching activities

3 hours of lectures per week. 1 tutorial per fortnight starting in week 3.

http://www2.warwick.ac.uk/fac/sci/statistics/courses/modules/year2/st208

## Module assessment

Assessment group Assessment name Percentage
12 CATS (Module code: ST208-12)
D1 (Assessed/examined work) Coursework 10%
2 hour examination (April) 90%

## Module availability

This module is available on the following courses:

###### Core
• Undergraduate Mathematics and Statistics (BSc MMathStat) (G1G3) - Year 2
• Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G300) - Year 2
• Undergraduate Data Science (G302) - Year 2
• Undergraduate Mathematics and Statistics (BSc) (GG14) - Year 2
• Undergraduate Mathematics,Operational Research,Statistics and Economics (Y602) - Year 2

N/A

###### Optional
• Undergraduate Discrete Mathematics (G4G1) - Year 2
• Undergraduate Discrete Mathematics (G4G3) - Year 2