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