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Concepts Of Functions And Calculus

Concepts Of Functions And Calculus

          
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Concepts of Functions and Calculus for JEE Main and Advanced has been conceptualized and developed for the aspirants of various engineering entrance examinations. It makes complex concepts and problems of Calculus easy for the students and provides them as many opportunities for guided practice as needed. It covers all topics and is imbued with a strong conceptual approach, with relevant theory being followed by plenty of solved exercise questions. Step-by-step guidance in problem solving alternative methods of approaching a problem are included to boost aspirantsanalytical skill and mathematical skills and are intended to teach them independent problem-solving techniques based upon the solutions. ey Features:. Covers the latest JEE (Main and Advanced) syllabus as per the JEE Pattern. Apart from having a lucid style and simplicity of explanation, the book includes a large number of illustrations along with similar applications in the form of unsolved exercises to be solved by students to acquire enough confidence in the subject matter. Plenty of solved examples supported by practice questions. Focus on conceptual clarity. For important topics, all types of JEE Advanced questions have been given.

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About the Book

Table Of Contents
Part I: Differentiation

    • 1. Fundamentals
    • 2. Functions
    • 4. Differentiation and Differentiability
    • 5. Fundamental Rules of Differentiation
    • 6. Differentiation of Function of Functions
    • 7. Differentiation of Implicit Functions
    • 8. Differentiation of Inverse Functions
    • 9. Parametric Functions
    • 10. Logarithmic Differentiation
    • 11. Miscellaneous Exercises on Differentiation
    • 12. L'Hospital's Rule
    • 14. Tangents and Normal
    • 15. Maxima and Minima of a Function
    • 16. Rolle's and Lagrange's Theorem
Part II: Integration
    • 1. Integration as the Inverse Process of Differentiation
    • 2. Integration by Transformation
    • 3. Integration by Substitution
    • 4. Integration by Parts
    • 5. Integration of Rational Functions
    • 6. Integration of Standard Rational and Irrational Functions
    • 7. Integration of Trigonometric Functions
    • 8. Integration of Certain Irrational Expressions
    • 9. Miscellaneous
    • 10. Definite Integration
    • 11. Integration as the Limit of a Sum
    • 12. Area
    • 13. Differential Equation
    • 14. Applications of Differential Equations of First Order
    • 15. Differential Equations of First Order and Higher Degree


Table of Contents:
PART I: DIFFERENTIATION 1. Fundamentals 2. Functions 3. Limits and Continuity 4. Differentiation and Differentiability 5. Fundamental Rules of Differentiation 6. Differentiation of Function of Functions 7. Differentiation of Implicit Functions 8. Differentiation of Inverse Functions 9. Parametric Functions 10.Logarithmic Differentiation 11.Miscellaneous Exercises on Differentiation 12.L'Hospital's Rule 13.dy/dx as a Rate Measurer 14.Tangents and Normal 15.Maxima and Minima of a Function 16.Rolle's and Lagrange's Theorem PART II: INTEGRATION 1. Integration as the Inverse Process of Differentiation 2. Integration by Transformation 3. Integration by Substitution 4. Integration by Parts 5. Integration of Rational Functions 6. Integration of Standard Rational and Irrational Functions 7. Integration of Trigonometric Functions 8. Integration of Certain Irrational Expressions 9. Miscellaneous 10.Definite Integration 11.Integration as the Limit of a Sum 12.Area 13.Differential Equation 14.Applications of Differential Equations of First Order 15.Differential Equations of First Order and Higher Degree


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Product Details
  • ISBN-13: 9780070080805
  • Publisher: Tata Mcgraw Hill
  • Publisher Imprint: Tata Mcgraw Hill
  • Edition: 1
  • ISBN-10: 0070080801
  • Publisher Date: 2008
  • Binding: Paperback
  • Language: English

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