# Wiley's Problems in Mathematics for JEE, Vol II

ISBN: 9788126541850

664 pages

## Description

Wiley Mathematics Problem Book covers the complete mathematics course for JEE. It is focused on the development of problem-solving skills in JEE aspirants. The chapter flow of the book is closely aligned with the JEE (Main) syllabus and its coverage in the classroom. However, the topics required for JEE (Advanced) are also covered. The problems presented systematically cover all important concepts pertaining to the topic and the possible questions that can be framed on them.

Note to the Student

Chapter 17 Inverse Trigonometry

17.1 Introduction

17.2 Domain and Range of Inverse Trigonometric Functions

17.3 Properties of Inverse Trigonometric Functions

17.4 General Values of Inverse Circular Functions

Chapter 18 Limit, Continuity and Differentiability

18.1 Limit of a Function

18.2 Definition

18.3 Algebra of Limits

18.4 Evaluation of Limits

18.5 Use of Standard Limits

18.6 Some More Standard Forms

18.7 Use of Expansion

18.8 L’Hospital’s Rule

18.9 Sandwich Theorem (Squeeze Play Theorem)

18.10 Continuity

18.11 Differentiability

Chapter 19 Differentiation

19.1 Introduction

19.2 Differentiation from First Principle

19.3 Derivatives of Some of the Frequently Used Functions

19.4 Rules to Find Out Derivatives

19.5 Derivative of Second Order ’’ or 2

19.6 Differentiation of a Function with Respect to Another Function

Chapter 20 Applications of Derivatives

20.1 Geometrical Interpretation of Derivative

20.2 Tangent and Normal

20.3 Angles Between Two Curves

20.4 /as Rate Measures

20.5 Errors and Approximations

20.6 Monotonicity of Function

20.7 Maxima and Minima of Functions of a Single Variable

20.8 Mean Value Theorems

20.9 Geometrical Problems

Chapter 21 Indefinite Integration

21.1 Primitive or Anti-Derivative of a Function

21.2 Indefinite Integral and Indefinite Integration

21.3 Methods of Integration

21.4 Integration by Partial Fractions

Chapter 22 Definite Integration

22.1 Definition

22.2 Geometrical Meaning of Definite Integration

22.3 Definite Integration as the Limit of Sum

22.4 Properties of Definite Integration

22.5 Properties Based on Periodic Function

22.6 Properties Based on Inequality

22.7 Newton–Leibnitz Rule

22.8 Summation of Series by Integration

22.9 Reduction Formulae for Definite Integration

22.10 Wallis Formulae

Chapter 23 Area Under the Curves

23.1 Curve Tracing

23.2 Steps to Draw Curve

23.3 Area of Bounded Region

23.4 Area Enclosed Between Two Curves

Chapter 24 Differential Equations

24.1 Introduction

24.2 Basic Definition

24.3 Order of a Differential Equation

24.4 Degree of a Differential Equation

24.5 Formation of a Differential Equation

24.6 Solution of a Differential Equation

24.7 Differential Equations of First-Order and First-Degree

24.8 Solution of First-Order and First-Degree Differential Equations

24.9 Variable Separable Type Differential Equation

24.10 Equation Reducible to Variable Separable Type Differential Equation

24.11 Homogeneous Type Differential Equation

24.12 Non-Homogeneous Type Differential Equation

24.13 Exact Differential Equation

24.14 Linear Differential Equation

24.15 Solution of Differential Equation of the First Order but of Higher Degree

24.16 Applications of Differential Equation

Chapter 25 Vector Algebra

25.1 Introduction

25.2 Representation of a Vector

25.3 Types of Vectors

25.4 Rectangular Resolution of Vectors (Orthogonal System of Vectors): Resolution of a Vector in Two Dimensions

25.5 Resolution of a Vector in Three Dimensions

25.6 Properties of Vectors

25.7 Fundamental Theorems of Vectors

25.8 Linear Combinations of Vectors

25.9 Linearly Dependent and Independent Vectors

25.10 Position Vector of a Dividing Point (Section Formulae)

25.11 Bisector of the Angle Between Two Vectors

25.12 Product of Two Vectors

25.13 Scalar or Dot Product of Two Vectors

25.14 Vector or Cross-Product of Two Vectors

25.15 Scalar Triple Product

25.16 Vector Triple Product

25.17 Scalar or Vector Product of Four Vectors

25.18 Method to Prove Collinearity

25.19 Vector Equation

Chapter 26 Three-Dimensional Geometry

26.1 Rectangular Coordinate System in Space

26.2 Other Methods of Defining the Position of Any Point P in Space

26.3 Shifting the Origin

26.4 Distance Formula

26.5 Section Formula

26.6 Triangle and Tetrahedron

26.7 Direction Cosines of a Line

26.8 Direction Ratios

26.9 Projection of a Line

26.10 Equation of a Straight Line in Space

26.11 Angle Between Two Lines

26.12 Intersections of Two Lines

26.13 Shortest Distance Between Two Non-intersecting Lines

26.14 Point and Line

26.15 The Plane

26.16 Equation of Plane in Different Forms

26.17 Point and Plane

26.18 Angle Between Two Planes

26.19 Angle Bisectors of Two Planes

26.20 Family of Plane

26.21 Line and Plane

26.22 Sphere

Chapter 27 Probability

27.1 Introduction

27.2 Concept of Probability in Set Theoretic Language

27.3 Definition of Probability with Discrete Sample Space

27.4 Axiomatic Definition

27.5 Basic Theories

27.6 Conditional Probability

27.7 Independent Events

27.8 Total Probability

27.9 Bayes’ Theorem or Inverse Probability

27.10 Random Variable and Probability Distribution

27.11 Binomial Distribution

27.12 Poisson Distribution

27.13 Probability of Events in Experiments with Countable Infinite Sample Space

27.14 Important Information

Chapter 28 Statistics

28.1 Frequency Distribution

28.2 Measure of Central Tendency

28.3 Measure of Dispersion

28.4 Symmetric and Skew-Symmetric

Additional Solved Examples

Previous Years’ Solved JEE Main/AIEEE Questions

Practice Exercise 1

Practice Exercise 2

Answer Key

Solutions

Solved JEE 2017 Questions

Appendix: Chapter-wise Solved JEE 2018 and JEE 2019 Questions