This booklet contains some of the material of the course titled "Mathematical Theory for Social Scientists" which has been taught in the Department of Economics of Queen Mary College in recent years. The course, which is presented in the form of a series of thirteen lectures, is accompanied by exercise sheets relating to each of the topics.

** **

**LECTURE 1 Sets and Subsets**

**LECTURE
2 Numbers**

**LECTURE
3 Limits**

**LECTURE
4 Derivatives**

**LECTURE
5 Maxima and Minima**

**LECTURE
6 Geometric Growth**

**LECTURE
7 Taylor's Theorem**

**LECTURE
8 The Binomial Theorem**

**LECTURE 9 Exponential and Logistic Growth**

**LECTURE
10 Bivariate Optimisation**

**LECTURE
11 Constrained Optimisation**

**LECTURE
12 Matrix Algebra 1**

**LECTURE
13 Matrix Algebra 2**

**SUPPLEMENT1 Calculus**

**SUPPLEMENT2 The Mean Value Theorem**