Sunday 22 July 2012

Problems Plus In IIT Mathematics (Paperback) by A Das Gupta

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Book Summary of Problems Plus In IIT Mathematics

Problems Plus in IIT Mathematics contains a large number of problems which test the student's ability to apply fundamental concepts in new situations. This is type of problems asked at the JEE (IIT). The purpose of this book is to show students how to handle such problems and give them sufficient practice in solving problems of this type, thus building their confidence. The main features of this book are:

Each chapter begins with a summary of facts, formulate and working techniques. Trick, tips and techniques have been clearly marked with the icon.
A large number of problems have been solved and explained in each chapter.
The exercises contain short-answer, long-answer and objective type questions.
Multiple-choice questions in which more than one option may be correct have also been given.
Time-bound tests at the end of each chapter will help students practise answering questions in a given time.
The book also includes integrated tests, bases on all the chapters.

A chapter containing miscellaneous problems has been given at the end of the book. This will help students gain confidence in solving problems without prior knowledge of the chapter(s) to which the problems belong.

Table of Contents

  • Algebra
  • Progressions, Related Inequalities and Series
  • Determinants and Cramer's Rule
  • Equations, Inequations and Expressions
  • Complex Numbers
  • Permutation and Combination
  • Binomial Theorem for Positive Integral Index
  • Principle of Mathematical Induction (PMI)
  • Infinite Series
  • Matrices
  • Trigonometry
  • Circular Functions, Identities
  • Solution of Equations
  • Inverse Circular Functions
  • Trigonometrical Inequalities and Inequations
  • Logarithm
  • Properties of Triangle
  • Heights and Distances
  • Coordinate Geometry
  • Coordinates and Straight Lines
  • Pairs of Straight Lines and Transformation of Axes
  • Circles
  • Parabola
  • Ellipse and Hyperbola
  • Calculus
  • Function
  • Differentiation
  • Limit, Indeterminate Form
  • Continuity, Differentiability and Graph of Function
  • Application of dy/dx
  • Maxima and Minima
  • Monotonic Function and Lagrange's Theorem
  • Indefinite Integration of Elementary Function
  • Indefinite Integration of Rational and Irrational Functions
  • Definite Integration
  • Properties and Application Definite Integrals
  • Area
  • Differential Equation of the First Order
  • Vector
  • Vectors and Addition of Vector
  • Product of two Vector
  • Product of three or more Vectors
  • Application of Vectors
  • Probability
  • Elementary Probability
  • Total Conditional Probability and Bayes' Theorem
  • Coordinate Geometry of Three Dimensions
  • Points, Direction cosines and Direction ratios
  • Equations of a Straight lines Space
  • Planes
  • Practice Tests
  • (Integrated tests, Objective tests, Screening tests, Main tests)
  • Miscellaneous Exercises
  • Some New Pattern Problems

Details of Book: Problems Plus In IIT Mathematics

Book:Problems Plus In IIT Mathematics
Author:A Das Gupta
ISBN:8177096575
ISBN-13:

9788177096576

978-8177096576

Binding:Paperback
Publishing Date:2011
Publisher:Bharati Bhawan (publishers & Distributors)
Language:English

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