# Wiley’s Mathematics for JEE Main and Advanced Calculus

Wiley s Mathematics for IIT JEE Main and Advanced Calculus Vol 3

## Contents of Mathematics for JEE eBook

• Pre-Requisites
• Sets
• Real Numbers
• Bounded Set, Least Upper Bound and Greatest Lower Bound
• Completeness Property of and Archimedes’ Principle
• Rational Numbers, Irrational Numbers and Density Property of Rational Numbers
• Intervals
• Absolute Value of a Real Number
• Functions, Limits, Continuity, Sequences and Series
• Functions: Varieties
• Functions and Their Inverse
• Even and Odd Functions, Periodic Functions
• Graphs of Functions
• Construction of Graphs and Transforming Theorem
• Limit of a Function
• Some Useful Inequalities
• Continuity
• Properties of Continuous Functions
• Infinite Limits
• Sequences and Series
• Infinite Series
• Worked-Out Problems
• Exercises
• Derivative and Differentiability
• Derivatives: An Introduction
• Derivatives of Some Standard Functions
• Special Methods of Differentiation
• Successive Derivatives of a Function
• Worked-Out Problems
• Summary
• Exercises
• Applications of Differentiation
• Tangents and Normals
• Rate Measure
• Mean Value Theorems
• Maxima–Minima
• Convexity, Concavity and Points of Inflection
• Cauchy’s Mean Value Theorem and L’Hospital’s Rule
• Worked-Out Problems
• Summary
• Exercises
• Indefinite Integral
• Introduction
• Examples on Direct Integration Using Standard Integrals
• Integration by Substitution
• Integration by Parts
• Fundamental Classes of Integrable Functions
• Worked-Out Problems
• Exercises
• Definite Integral, Areas and Differential Equations
• Definite Integral
• Areas
• Differential Equations
• Worked-Out Problems
• Exercises