Wiley Problems in MATHEMATICS for JEE

Cover
Contents
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 Matrices and Determinants
	18.1 Definition of a Matrix
	18.2 Order of a Matrix
	18.3 Types of a Matrix
	18.4 Equality of Matrices
	18.5 Addition and Subtraction of Matrices
	18.6 Multiplication of a Matrix by a Scalar
	18.7 Multiplication of Two Matrices
	18.8 Operations Regarding Matrices
	18.9 Types of a Matrix on the Basis of Operations
	18.10 Definition of a Determinant
	18.11 Evaluation of Determinants
	18.12 Minors
	18.13 Cofactors
	18.14 Adjoint of a Square Matrix
	18.15 Inverse of a Matrix
	18.16 Singular and Non-Singular Matrices
	18.17 Elementary Operations or Elementary Transformations of a Matrix
	18.18 Inverse of a Matrix by Elementary Operations (Elementary Operations on Matrix Equation)
	18.19 Rank of a Matrix
	18.20 Echelon Form of a Matrix
	18.21 Homogeneous Linear Equations
	18.22 System of Linear Non-Homogeneous Equations
	18.23 Minor of Any Element of a Matrix
	18.24 Cofactor of Any Element of a Matrix
	18.25 Determinant of Any Matrix
	18.26 Properties of Determinants
	18.27 Sum of Determinants
	18.28 Multiplication of Determinants
	18.29 Differentiation of Determinants
	18.30 Special Determinants
	18.31 Solution of System of Linear Equations
Chapter 19 Limit, Continuity and Differentiability
	19.1 Limit of a Function
	19.2 Definition
	19.3 Algebra of Limits
	19.4 Evaluation of Limits
	19.5 Use of Standard Limits
	19.6 Some More Standard Forms
	19.7 Use of Expansion
	19.8 L’Hospital’s Rule
	19.9 Sandwich Theorem (Squeeze Play Theorem)
	19.10 Continuity
	19.11 Differentiability
Chapter 20 Differentiation
	20.1 Introduction
	20.2 Differentiation from First Principle
	20.3 Derivatives of Some of the Frequently Used Functions
	20.4 Rules to Find Out Derivatives
	20.5 Derivative of Second Order y″ or y2
	20.6 Differentiation of a Function with Respect to Another Function
Chapter 21 Applicationsof Derivatives
	21.1 Geometrical Interpretation of Derivative
	21.2 Tangent and Normal
	21.3 Angles Between Two Curves
	21.4 dy/dx as Rate Measures
	21.5 Errors and Approximations
	21.6 Monotonicity of Function
	21.7 Maxima and Minima of Functions of a Single Variable
	21.8 Mean Value Theorems
	21.9 Geometrical Problems
Chapter 22 Indefinite Integration
	22.1 Primitive or Anti-Derivative of a Function
	22.2 Indefinite Integral and Indefinite Integration
	22.3 Methods of Integration
	22.4 Integration by Partial Fractions
Chapter 23 Definite Integration
	23.1 Definition
	23.2 Geometrical Meaning of Definite Integration
	23.3 Definite Integration as the Limit of Sum
	23.4 Properties of Definite Integration
	23.5 Properties Based on Periodic Function
	23.6 Properties Based on Inequality
	23.7 Newton–Leibnitz Rule
	23.8 Summation of Series by Integration
	23.9 Reduction Formulae for Definite Integration
	23.10 Wallis Formulae
Chapter 24 Area Under the Curves
	24.1 Curve Tracing
	24.2 Steps to Draw Curve
	24.3 Area of Bounded Region
	24.4 Area Enclosed Between Two Curves
Chapter 25 Differential Equations
	25.1 Introduction
	25.2 Basic Definition
	25.3 Order of a Differential Equation
	25.4 Degree of a Differential Equation
	25.5 Formation of a Differential Equation
	25.6 Solution of a Differential Equation
	25.7 Differential Equations of First-Order and First-Degree
	25.8 Solution of First-Order and First-Degree Differential Equations
	25.9 Variable Separable Type Differential Equation
	25.10 Equation Reducible to Variable Separable Type Differential Equation
	25.11 Homogeneous Type Differential Equation
	25.12 Non-Homogeneous Type Differential Equation
	25.13 Exact Differential Equation
	25.14 Linear Differential Equation
	25.15 Solution of Differential Equation of the First Order but of Higher Degree
	25.16 Applications of Differential Equation
Chapter 26 Vector Algebra
	26.1 Introduction
	26.2 Representation of a Vector
	26.3 Types of Vectors
	26.4 Rectangular Resolution of Vectors (Orthogonal System of Vectors): Resolution of a Vector in Two Dimensions
	26.5 Resolution of a Vector in Three Dimensions
	26.6 Properties of Vectors
	26.7 Fundamental Theorems of Vectors
	26.8 Linear Combinations of Vectors
	26.9 Linearly Dependent and Independent Vectors
	26.10 Position Vector of a Dividing Point (Section Formulae)
	26.11 Bisector of the Angle Between Two Vectors
	26.12 Product of Two Vectors
	26.13 Scalar or Dot Product of Two Vectors
	26.14 Vector or Cross-Product of Two Vectors
	26.15 Scalar Triple Product
	26.16 Vector Triple Product
	26.17 Scalar or Vector Product of Four Vectors
	26.18 Method to Prove Collinearity
	26.19 Vector Equation
Chapter 27 Three-DimensionalGeometry
	27.1 Rectangular Coordinate System in Space
	27.2 Other Methods of Defining the Position of Any Point P in Space
	27.3 Shifting the Origin
	27.4 Distance Formula
	27.5 Section Formula
	27.6 Triangle and Tetrahedron
	27.7 Direction Cosines of a Line
	27.8 Direction Ratios
	27.9 Projection of a Line
	27.10 Equation of a Straight Line in Space
	27.11 Angle Between Two Lines
	27.12 Intersections of Two Lines
	27.13 Shortest Distance Between Two Non-intersecting Lines
	27.14 Point and Line
	27.15 The Plane
	27.16 Equation of Plane in Different Forms
	27.17 Point and Plane
	27.18 Angle Between Two Planes
	27.19 Angle Bisectors of Two Planes
	27.20 Family of Plane
	27.21 Line and Plane
	27.22 Sphere
Chapter 28 Probability
	28.1 Introduction
	28.2 Concept of Probability in Set Theoretic Language
	28.3 Definition of Probability with Discrete Sample Space
	28.4 Axiomatic Definition
	28.5 Basic Theories
	28.6 Conditional Probability
	28.7 Independent Events
	28.8 Total Probability
	28.9 Bayes’ Theorem or Inverse Probability
	28.10 Random Variable and Probability Distribution
	28.11 Binomial Distribution
	28.12 Poisson Distribution
	28.13 Probability of Events in Experiments with Countable Infinite Sample Space
	28.14 Important Information
Appendix: Chapterwise SolvedJEE 2018 Questions