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9780071508612

Schaum's Outline of Calculus, 5ed Schaum's Outline of Calc, 5ed

by ;
  • ISBN13:

    9780071508612

  • ISBN10:

    0071508619

  • Edition: 5th
  • Format: Paperback
  • Copyright: 2008-08-25
  • Publisher: McGraw-Hill
  • View Upgraded Edition

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Summary

Schaum's has Satisfied Students for 50 Years. Now Schaum's Biggest Sellers are in New Editions! For half a century, more than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's celebrates its 50th birthday with a brand-new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study. Schaum's Outlines-Problem Solved More than 1.3 Million sold! This review of standard college courses in calculus has been updated to reflect the latest course scope and sequences. The new edition includes Green's and Stokes' theorems, as well as explanations of tough topics such as delta-epsilon proofs and Reimann Integrals.

Table of Contents

Schaum's Outline of Calculus, 5ed
Linear Coordinate Systems
Absolute Value
Inequalities
Rectangular Coordinate Systems
Lines4
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
Area and Arc Length
Applications of Integration
Volume
Techniques of Integration
Integration by Parts
Techniques of Integration
Trigonometric Integrands and Trigonometric Substitutions
Techniques of Integration
Integration by Partial Fractions
Techniques of Integration
Miscellaneous Substitutions
Improper Integrals
Applications of Integration
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
Absolute and Conditional Convergence
The Ratio Test
Power Series
Taylor and Maclaurin Series
Taylor's Formulas with Remainder
Partial Derivatives
Total Differential
Differentiability
Chain Rules
Space Vectors
Surfaces 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
Table of Contents provided by Publisher. All Rights Reserved.

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