Schaum's Outline of Calculus / Edition 3

Schaum's Outline of Calculus / Edition 3

1.7 3
by Frank Ayres, Elliot Mendelson
     
 

ISBN-10: 0070026629

ISBN-13: 9780070026629

Pub. Date: 06/01/1990

Publisher: McGraw-Hill Companies, The

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…  See more details below

Overview

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.

Product Details

ISBN-13:
9780070026629
Publisher:
McGraw-Hill Companies, The
Publication date:
06/01/1990
Series:
Schaum's Outlines Series
Edition description:
3rd ed
Pages:
484
Product dimensions:
8.13(w) x 10.85(h) x 0.95(d)

Table of Contents

Linear Coordinate Systems. Absolute Value. Inequalities.

Rectangular Coordinate Systems.

Lines.

Circles.

Equations and Their Graphs.

Functions.

Limits.

Continuity.

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.

Concavity.

Symmetry.

Review of Trigonometry.

Differentiation of Trigonometric Functions.

Inverse Trigonometric Functions.

Rectilinear and Circular Motion.
Related Rates.
Differentials. Newton's Method.
Antiderivatives.
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.
Curvature.
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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Schaum's Outline of Calculus 1.7 out of 5 based on 0 ratings. 3 reviews.
Guest More than 1 year ago
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.
Guest More than 1 year ago
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.
Guest More than 1 year ago
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.