Mathematics and Statistics Fundamentals Proctored Exam

The following topics are assessed within this exam:

• Functions and graphs

• The derivative

• Curve sketching and optimisation

• Functions of two variables and partial derivatives

• Critical points of two-variable functions

• Integration

• Profit maximisation

• Constrained optimisation

• Matrices, vectors, and linear equations

• Sequences, series, and financial modelling

● Point and interval estimation

● Hypothesis testing I

● Hypothesis testing II

● Contingency tables and the chi-squared test

● Sampling design and some ideas underlying causation

● Correlation and linear regression

● Mathematical revision and the nature of statistics

● Data visualisation and descriptive statistics

● Probability theory

● The normal distribution and ideas of sampling