ISBN 9789350944011,The First Step to IIT JEE Mathematics

The First Step to IIT JEE Mathematics

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ISBN 9789350944011
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ISBN 9789350944011
Publisher

Arihant Publication

Publication Year 2013
ISBN-13

ISBN 9789350944011

ISBN-10 9350944014
Binding

Paperback

Number of Pages 400 Pages
Language (English)
Subject

Engineering: general

Salient Features



  • Concepts, Terms, & Formulas are provided to understand the chapter well.

  • In the end of the chapter “Proficiency in Concept” subjective and objective problems are given with full detailed solutions to help the students.

  • 3 different leveled exercises are provided in the end of the chapter.

  • Level 1 & 2 are of objective nature and level 3 consist subjective type questions.

  • Chapter-wise hints & solutions are provided in the end of chapter.

  • Workouts (20 Mock Papers) are given at the end of the book with their answers.


Table of contents :- 


1. Plane Geometry



  • Similar Triangle

  • Definitions and Important Results

  • Some More Theorem Statements on Triangle

  • Circle

  • Terms Related to Circle

  • Properties of Circle

  • Properties Related to Tangent to a Circle

  • Area, Volume and Surface Area

  • Concept Building Illustrations

  • Proficiency in Concepts (PIC) Problems with Multi-leveled Exercise


2. Cartesian Coordinate System and Straight Line



  • Comprehension of Concepts

  • Straight Line

  • Concept Building Illustrations

  • Proficiency in Concepts (PIC) Problems with Multi-leveled Exercise


3. Trigonometry



  • Definition

  • Measurement of Angles

  • Trigonometrical Ratios

  • Signs Conventions for Quadrants

  • Relation between Trigonometric Ratios

  • Trigonometrical Functions of Angles of any Size and Sign

  • Functions of Compound Angles

  • A List of Trigonometric Formulae

  • Concept Building Illustrations

  • Proficiency in Concepts (PIC) Problems with Multi-leveled Exercise


4. Number Theory



  • The Set of Real Numbers

  • Real Numbers and Important Subsets

  • Divisibility

  • To Find Unit’s Digit of any Number

  • Peano’s Postulates

  • Some Basic Definitions

  • Concept Building Illustrations

  • Proficiency in Concepts (PIC) Problems with Multi-leveled Exercise


5. Theory of Equations, Inequations, Polynomials and Logarithms



  • Polynomials

  • Division Algorithm

  • Remainder Theorem

  • Factor Theorem

  • Multinational Theorem

  • Equation v/s Identity

  • Relation between Roots and Coefficients

  • Nature of Roots

  • Symmetric Function of the Roots

  • Transformation of an Equation

  • Inequalities

  • Cauchy-Schwarz Inequality

  • The Method of Intervals (Wavy Curve Method)

  • Logarithms

  • Properties of Logarithms

  • Concept Building Illustrations

  • Proficiency in Concepts (PIC) Problems with Multi-leveled Exercise


6. Permutations and Combinations



  • Factorial

  • Exponent of Prime p in n!

  • Relation between nCr and nPr

  • Fundamental Principle of Counting

  • Permutations (Arrangements of Objects)

  • Circular Permutations

  • Combinations

  • Concept Building Illustrations

  • Proficiency in Concepts (PIC) Problems with Multi-leveled Exercise


7. Sequences and Series



  • Sequence

  • Arithmetic Progression and Its General Term

  • Sum of Some Powers of Natural Numbers

  • Arithmetic Mean

  • Geometric Progression and Its General Term

  • Harmonic Progression

  • Harmonic Means

  • Relation Amongst AM, GM, HM

  • Concept Building Illustrations

  • Proficiency in Concepts (PIC) Problems with Multi-leveled Exercise


8. Functions



  • Function

  • Function as a Set of Ordered Pairs

  • Domain, Codomain and Range of a Function

  • Identity Function

  • Equal Function

  • Domain of Real Valued Function

  • Number of Functions (or Mapping) from X to Y

  • Representation and Testing for a Function

  • Classification of Functions

  • Explicit and Implicit Function

  • Continuous and Discontinuous Function

  • Increasing Function

  • Decreasing Function

  • Periodic Function

  • Value of the Function

  • Type of Function

  • Composite of Functions

  • Inverse Functions

  • Concept Building Illustrations

  • Proficiency in Concepts (PIC) Problems with Multi-leveled Exercise


9. Introductory Differentiation and Integral Calculus



  • Graphs of Some Elementary Functions

  • Trigonometric or Circular Functions

  • The Inverse Circular (Trigonometric) Functions

  • List of Derivatives of Important Functions

  • Rule of Differentiation

  • Different types of Differential Function

  • Indefinite Integral

  • Definition: Basic Concept

  • Important Formulae

  • Properties of Indefinite Integration

  • Methods of Increasing Polynomial Division

  • Concept Building Illustrations

  • Proficiency in Concepts (PIC) Problems with Multi-leveled Exercise

  • Workouts

  • (20 Mock Papers, Mathematics)

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