Thomas' Calculus for the JEE

Cover
Title
Contents
Preface to the Adaptation
Acknowledgments
About the Adaptor
Chapter
1 Functions
	1.1 Functions and Their Graphs
	1.2 Classification of Functions and Combining Functions; Shifting and Scaling Graphs
	1.3 Trigonometric Functions
	1.4 Miscellaneous
	Questions to Guide Your Review
	Practice Exercises
	Single Choice Questions
	Multiple Choice Questions
	Passage Type Questions
	Matrix Match Type Questions
	Integer Type Questions
	Additional and Advanced Exercises
Chapter
2 Limits and Continuity
	2.1 Rates of Change and Tangents to Curves
	2.2 Limit of a Function and Limit Laws
	2.3 The Precise Definition of a Limit
	2.4 One-Sided Limits
	2.5 Continuity
	2.6 Limits Involving Infinity; Asymptotes of Graphs
	Questions to Guide Your Review
	Practice Exercises
	Single Choice Questions
	Multiple Choice Questions
	Passage Type Questions
	Matrix Match Type Questions
	Integer Type Questions
	Additional and Advanced Exercises
Chapter
3 Derivatives
	3.1 Tangents and the Derivative at a Point
	3.2 The Derivative as a Function
	3.3 Differentiation Rules
	3.4 Derivatives of Trigonometric Functions
	3.5 The Chain Rule
	3.6 Method of Differentiation
	3.7 Implicit Differentiation
	3.8 Inverse Trigonometric Functions and their Derivatives
	3.9 Derivative of Inverse Function
	3.10 Indeterminate Forms and L’Hôpital’s Rule
	Questions to Guide Your Review
	Practice Exercises
	Single Choice Questions
	Multiple Choice Questions
	Passage Type Questions
	Matrix Match Type Questions
	Integer Type Questions
	Additional and Advanced Exercises
Chapter
4 Applications of Derivatives
	4.1 The Derivative as a Rate of Change
	4.2 Related Rates
	4.3 Linearization and Differentials
	4.4 Extreme Values of Functions
	4.5 The Mean Value Theorem
	4.6 Monotonic Functions and the First Derivative Test
	4.7 Concavity and Curve Sketching
	4.8 Applied Optimization
	Questions to Guide Your Review
	Practice Exercises
	Single Choice Questions
	Multiple Choice Questions
	Passage Type Questions
	Matrix Match Type Questions
	Integer Type Questions
	Additional and Advanced Exercises
Chapter
5 Integrals
	5.1 Antiderivatives
	5.2 Area and Estimating with Finite Sums
	5.3 Sigma Notation and Limits of Finite Sums
	5.4 The Definite Integral
	5.5 Indefinite Integrals and the Substitution Method
	5.6 Techniques of Integration
	5.7 Integration by Parts
	5.8 Trigonometric Integrals
	5.9 Trigonometric Substitutions
	5.10 Integration of Rational Functions by Partial Fractions
	5.11 Reduction Formulas
	5.12 Improper Integrals
	5.13 Properties of Definite Integrals
	5.14 The Fundamental Theorem of Calculus
	5.15 Definite Integral Substitutions
	Questions to Guide Your Review
	Practice Exercises
	Single Choice Questions (Indefinite)
	Multiple Choice Questions (Indefinite)
	Passage Type Questions (Indefinite)
	Matrix Match Type Questions (Indefinite)
	Integer Type Questions (Indefinite)
	Single Choice Questions (Definite)
	Multiple Choice Questions (Definite)
	Passage Type Questions (Definite)
	Matrix Match Type Questions (Definite)
	Integer Type Questions (Definite)
	Additional and Advanced Exercises
Chapter
6 First-Order Differential Equations and Area Under Curve
	6.1 Solutions, Slope Fields, and Euler’s Method
	6.2 First-Order Linear Equations
	6.3 Applications
	6.4 Area Under the Graph of a Nonnegative Function
	Questions to Guide Your Review
	Practice Exercises
	Single Choice Questions
	Multiple Choice Questions
	Passage Type Questions
	Matrix Match Type Questions
	Integer Type Questions
	Additional and Advanced Exercises
Answers Keys
	Chapter 1
	Chapter 2
	Chapter 3
	Chapter 4
	Chapter 5
	Chapter 6