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
- Answers
- 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
- Answers
- 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
- Answers
- 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
- Answers
- Definite Integral, Areas and Differential Equations
- Definite Integral
- Areas
- Differential Equations
- Worked-Out Problems
- Exercises
- Answers
