Schaum's Outline of Calculus / Edition 4

Schaum's Outline of Calculus / Edition 4

2.8 4
by Frank Ayres
     
 

ISBN-10: 0070419736

ISBN-13: 9780070419735

Pub. Date: 06/28/1999

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:
9780070419735
Publisher:
McGraw-Hill Companies, The
Publication date:
06/28/1999
Series:
Schaum Outline Series
Edition description:
REV
Pages:
578
Product dimensions:
8.20(w) x 10.88(h) x 1.00(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 2.8 out of 5 based on 0 ratings. 4 reviews.
donaldAE More than 1 year ago
from my experience schaulms outlines are great! and this book no different! its a good book for extra practice
Guest More than 1 year ago
Schaum's are usually pretty good, but I found this one to be disappointing. Usually, you get a different explanation of things, that sometimes makes more sense. This outline just restates everything in your calculus book. It's not worth buying.
Guest More than 1 year ago
Positive: very through Negatives: Its hard to learn from this book, because it throws a variety of difficult problems at you at once. Instead of explaining a basic problem then giving the student a chance to practice similar problems, it quickly moves on to more difficult problems so you never learn the bascis. To tell you the truth the book is so focused on covering all facets of calculus that most of the problems you encounter in the book will never be on your test, because they are to difficult.
Guest More than 1 year ago
This book should be denoted as a best-seller in someone's category. It prepares the student for Calculus from ground up. Every problem increases in difficulty to cut down study time.