Understanding Calculus

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  Home
  Testimonials
  Table of Contents

  Preface
  1. Why Study
  Calculus
  2. Numbers
  3. Functions
  4. The Derivative
  5. Differentiation
  6. Applications
  7. Free Falling
  Motion
  8. Understanding
  Derivative
  9. Derivative
  Approximations
  10. Integration
  Theory
  11. Understanding
  Integration
  12. Differentials

  Inverse Functions
  Exponents
  Exponential
  Functions
  Applications of
  Exponential
  Functions
  Sine and Cosine
  Function
  Sine Function
  Sine Function -
  Differentiation and
  Integration
  Oscillatory Motion
  Mean Value
  Theorem
  Taylor Series
  More Taylor Series
  Integration
  Techniques

  Links
  Contact

 
 
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Understanding Calculus

By: Faraz Hussain

Duke University '98
BS Civil Engineering , Minor English
University of Illinois - Urbana Champaign '00
MS Structural Engineering

Copyright 2007 - Faraz Hussain
All Rights Reserved

The author shall not be liable for technical or editorial errors or omissions contained herein. The information in this book is subject to change without notice.

Table of Contents

Part 1

Preface
Chapter 1 - Introduction
Chapter 2 - Understanding Numbers
Chapter 3 - The Mathematical function and its Graph
Chapter 4 - The Derivative
Chapter 5 - Differentiating Functions
Chapter 6 - Applications of the Derivative
Chapter 7 - Study of Free Falling Bodies
Chapter 8 - Understanding the Derivative
Chapter 9 - The Derivative and its Approximations
Chapter 10 - Theory of Integration
Chapter 11 - Understanding Integration
Chapter 12 - Differentials

Part 2

Chapter 13 - Inverse Functions
Chapter 14 - Introduction to Exponents
Chapter 15 - Logarithmic and Exponential Functions
Chapter 16 - Applications of the Exponential Function
Chapter 17 - The Sine and Cosine Function
Chapter 18 - The Sine Function - Definition
Chapter 19 - Differentiating and Integrating the Sine function
Chapter 20 - Applications of the Sine Function - Oscillatory Motion
Chapter 21 - The Mean Value Theorem
Chapter 22 - Taylor Series
Chapter 23 - More on Taylor Series
Chapter 24 - Techniques of Integration

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