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MATHEMATICAL THEORY

FOR SOCIAL SCIENTISTS

by

D.S.G. Pollock

Queen Mary and Westfield College,

The University of London

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

EXERCISES