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First Step to IIT JEE Mathematics PB (English) by Agarwal A M

  • ISBN: 9789350944011
  • Authors: Agarwal A M
First Step to IIT JEE Mathematics PB (English) by Agarwal A M
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First Step to IIT JEE Mathematics PB (English)

Author: Agarwal A M
Language: English
Length (Pages):
Publisher: Arihant Publications(I) Pvt.Ltd - Meerut

Publication Year 2013
Edition:
Exam:
ISBN: 9789350944011

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 Units Digit of any Number
Peanos 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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