Fundamentals of Mathematics

This topic covers concepts such as Real Numbers, Rational Numbers, Irrational Numbers, Composite Numbers, Prime Numbers, Coprime Numbers, Tests for Divisibility, HCF and LCM of Fractions, Unique Representation of Real Numbers on Number Line, etc.

This topic covers concepts such as Linking Ratio with Fractions, Commensurable and Incommensurable Quantities, Case of Incommensurable Quantities, Duplicate Ratio, Compounded Ratio, Componendo and Dividendo Rule, Series of Equal Fractions, etc.

This topic covers concepts such as Rationalization of a Surd, Square Root of a Binomial Quadratic Surd, and Cube Root of an Expression.

This topic covers concepts such as Algebraic Solutions of Linear Inequalities in One Variable, Linear Inequalities, Quadratic Expressions Which are Always Positive/Negative, Solution of Simple Quadratic Inequalities, Wavy Curve Method, etc.

This topic covers concepts such as Partial Fractions of f(x)/g(x) Where Both f(x) and g(x) are Polynomials, Partial Fractions of f(x)/g(x) When g(x) Contains Irreducible Factors, etc.

This topic covers concepts such as Proportionality Constant, Joint Variation and Inverse Variation.

This topic covers the concept of Exponential Series.

This topic covers the concept of Logarithmic Series.