Mathematics and Statistics Fundamentals Proctored Exam

This exam assesses all concepts, methods and techniques introduced across the four courses within the LSE MicroBachelors program in Mathematics and Statistics Fundamentals:

Mathematics 1: Differential calculus

Mathematics 1: Integral calculus, algebra, and applications

Statistics 1: Introductory statistics, probability and estimation ****

Statistics 1: Statistical methods ****

It is two hours in duration and must be sat under online proctored conditions.

It is the final step towards completing the LSE MicroBachelors program in Statistics Fundamentals and you must pass with a mark of 60% or higher to gain your certificate.

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