CONTENTS:

1. BASIC MATHEMATICS

PERMUTATIONS AND COMBINATIONS

1.1 Introduction

1.2 Fundamental Principles of Counting

1.3 Factorial Notation

1.4 Permutations

1.5 Combinations

BINOMIAL THEOREM

1.6.

Introduction

1.6.1. Binomial Theorem for a Positive Integral Index

1.6.2. General term

1.6.3. Middle Terms

1.6.4. Greatest Terms

1.6.5. Equidistant Terms

1.6.6. Binomial Coefficients

1.6.7. Binomial Theorem for any index

1.6.8: General Term

1.6.9: Sum of a series

EXPONENTIAL AND LOGARITHMIC SERIES

1.7 Exponential Series

1.7.1. Exponential Theorem

1.8 Logarithmic Series Model Questions

2. PROBABILITY

2.1 Introduction

2.2 Probabilistic Phenomena

2.3 Historical Background

2.4 Formulation of the Basic Concepts

2.5 Illustrative Examples

2.6 Limitations of classical Probabilty

2.7 Mathematical Preliminarie