Schaum's Outline of Calculus / Edition 3

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Students can gain a thorough understanding of differential and integral calculus with this powerful study tool. They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide­­--more than 104,000 copies were bought of the prior edition--­­includes problems and examples using graphing calculators.

Schaum's Outlines include basic theory, definitions, and hundreds of sample problems solved in step-by-step detail and supplementary problems with answers. Schaum's Outlines have been favorably received and widely adopted by numberous colleges and technical schools.

This guide covers an array of topics on differential and intergral calculus.

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Product Details

  • ISBN-13: 9780070026629
  • Publisher: McGraw-Hill Companies, The
  • Publication date: 6/1/1990
  • Series: Schaum's Outlines Series
  • Edition description: 3rd ed
  • Edition number: 3
  • Pages: 484
  • Product dimensions: 8.13 (w) x 10.85 (h) x 0.95 (d)

Meet the Author

Frank Ayers, Ph.D., (deceased) was a professor and head of the department of mathematics at Dickinson College.

Elliott Mendelson, Ph.D., (Roslyn, NY) is a professor of mathematics at Queens College.

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Table of Contents

Linear Coordinate Systems. Absolute Value. Inequalities.

Rectangular Coordinate Systems.



Equations and Their Graphs.




The Derivative.

Rules for Differentiating Functions.

Implicit Differentiation.

Tangent and Normal Lines.

Law of the Mean.

Increasing and Decreasing Functions.

Maximum and Minimum Values.

Curve Sketching.



Review of Trigonometry.

Differentiation of Trigonometric Functions.

Inverse Trigonometric Functions.

Rectilinear and Circular Motion.
Related Rates.
Differentials. Newton's Method.
The Definite Integral. Area Under a Curve.
The Fundamental Theorem of Calculus.
The Natural Logarithm.
Exponential and Logarithmic Functions.
L'Hopital's Rule.
Exponential Growth and Decay.
Applications of Integration I: Area and Arc Length.
Applications of Integration II: Volume.
Techniques of Integration I: Integration by Parts.
Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions.
Techniques of Integration III: Integration by Partial Fractions.
Miscellaneous Substitutions.
Improper Integrals.
Applications of Integration II: Area of A Surface of Revolution.
Parametric Representation of Curves.
Plane Vectors.
Curvilinear Motion.
Polar Coordinates.
Infinite Sequences.
Infinite Series.
Series with Positive Terms. The Integral Test. Comparison Tests.
Alternating Series. Absoluteand Conditional Convergence. The Ratio Test.
Power Series.
Taylor and Maclaurin Series. Taylor's Formual with Remainder.
Partial Derivatives.
Total Differential. Differentiability. Chain Rules.
Space Vectors.
Surface and Curves in Space.
Directional Derivatives. Maximum and Minimum Values.
Vector Differentiation and Integration.
Double and Iterated Integrals.
Centroids and Moments of Inertia of Plane Areas.
Double Integration Applied to Volume Under a Surface and the Area of A Curved Surface.
Triple Integrals.
Masses of Variable Density.
Differential Equations of First and Second Order.
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Sort by: Showing all of 3 Customer Reviews
  • Anonymous

    Posted April 20, 2000

    Schaum's Outline of Calculus

    This book is very bad at teaching first students. If you are a beginning Calculus student, this book will provide tasteless information. This book is horrible at explaining various problems clearly. It's like it goes from step 1 to step 2 and doesn't tell you how. If you are a high school student, DO NOT BUY THIS BOOK. However, if you are a college student, THINK TWICE BEFORE BUYING THIS BOOK.

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  • Anonymous

    Posted April 18, 2000

    Schaum's Outline of Calculus

    The problems do not provide adequate instructions on how to solve them. Thus doing the problems are alot harder than the examples. Plus this book lacks examples. Very few and unclear examples are presented.

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  • Anonymous

    Posted April 6, 2000

    Not for an AP Calculus Student

    This workbook provides an excellent way to practice a variety of basic calculus problems. The disadvantage is that this book is not really tailored to the AP Calculus student. This book is aimed at college students. Finally, the problems are fairly easy to understand, but the explanations are confusing. The authors of this book use so many different variable expressions, it got me confused quickly.

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