## Algebra Topics:

1.Basic Algebra

Algebraic Expression Definitions
Polynomials
Operations on Polynomials
Linear Equation in One Variable
Factorization of Polynomials
Types of Factorization

2.Binomial Theorem

Binomial Expansion
Binomial Coefficient
General Term
Middle Term
Binomial Coefficient of any power of x
Term Independent of x
Greatest Binomial Coefficient
Numerically Greatest Term
Properties of Binomial Coefficient
Binomial Theorem Examples
Problems on Middle Term in Binomial Theorem
Problems on Independent Term of x in Binomial Theorem
Problems on Greatest Binomial Coefficient

3.Logarithms

Logarithm and Exponential Form
Problems on Logarithms into Exponentials
Logarithm Rules
Problems on Logarithm Rules
Base Change Rule
Characteristic and Mantissa
Properties of Mantissa
Solved Examples

#### 4.Probability

Probability
Definition - Probability
Probability Formulas

#### 4.Permutations and Combinations

Permutations and Combinations
Fundamental Rule of Counting

Circular Permutations

## Arithmetic Topics

Numbers
Percentages
Problems on Ages
Profit and Loss
Ratio and Proportion
Sequences and Series
Simple Interest and Compound interest
Simplification
Square Roots and Cube Roots
Time and Work
Time and Distance
Venn Diagrams/ Overlapping Sets