Wiley's Mathematics for JEE (Main & Advanced): Trigonometry, Vector Algebra, Probability, Vol 2, 2020

Dr. G S N Murti, Dr. U M Swamy

ISBN: 9788126500963

INR 759

Description

This book has been written by a pioneer teacher associated with IIT-JEE coaching, Dr. G.S.N. Murti, along with Dr. U.M. Swamy who had an illustrious career as a renowned mathematician. The topics covered in this book – Trigonometry, Vector Algebra, and Probability – are of utmost importance to engineering students. An additional chapter on Inequalities has been included. The book has a two-fold advantage: (a) Conceptual strength provided by accurate, precise but sufficient coverage of topics; (b) solved and unsolved problems as per IIT-JEE pattern for strengthening concepts. The main idea is to make students understand the theory behind to enable them to strategize a given problem and tactically solve it.

Chapter 1: Trigonometric Ratios and Transformations

 

1.1 Angles and Their Measures

1.2 Trigonometric Ratios

1.3 Periodicity and Variance

1.4 Trigonometric Ratios of Compound Angles

1.5 Trigonometric Ratios of Multiple and Submultiple Angles

1.6 Sum and Product Transformations

Chapter 2: Inverse Trigonometric Functions

2.1 Domains and Ranges of Inverse Trigonometric Functions

2.2 Properties of Inverse Trigonometric Functions

Chapter 3: Trigonometric Equations

3.1 The Least Positive Angles with a Given Trigonometric Ratio

3.2 General Solution of Equations of the Form sin x= a

3.3 Solutions of Simple Trigonometric Equations

Chapter 4: Properties of Triangles

4.1 Relations Between the Sides and the Trigonometric Ratios of Angles of a Triangle

4.2 Solution of Triangles

4.3 Properties of a Triangle

 

Chapter 5: Addition and Scalar Multiplication of Vectors

 

5.1 Definition and Classification of Vectors

5.2 Addition of Vectors

5.3 Multiplication of a Vector by a Scalar

5.4 The Division Formula

5.5 Components of a Vector

5.6 Vector Equation of a Line and a Plane

 

Chapter 6: Multiplication of Vectors

 

6.1 Scalar or Dot Product

6.2 Vector Equations of a Plane and a Sphere

6.3 Vector or Cross Product

6.4 Vector Areas

6.5 Scalar Triple Product

6.6 Vector Triple Product

Chapter 7: Probability

7.1 Random Experiments and Events

7.2 Classical Definition of Probability

7.3 Axiomatic Approach to Probability

7.4 Independent and Dependent Events

7.5 Random Variables and Probability Distributions

7.6 Theoretical Discrete Distribution

Chapter 8: Inequalities

 

8.1 Introduction

 

Worked-Out Problems

Exercises

 

Appendix A: *Additional Practice Problems

Appendix B: *JEE (Advanced) Questions (2011–2018)

 

*For online interactive practice.

 

Index