Wiley Problems in MATHEMATICS for JEE With summarized concepts volume 2 1st Edition by Wiley India ISBN 9788126576302 8126576308

Wiley Problems in MATHEMATICS for JEE With summarized concepts volume 2 1st Edition by Wiley India – Ebook PDF Instant Download/Delivery: 9788126576302 ,8126576308
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ISBN 10: 8126576308
ISBN 13: 9788126576302
Author: Wiley India

Wiley Problems in MATHEMATICS for JEE With summarized concepts volume 2 1st Edition Table of 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

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