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- Product code: 15687
- ISBN: 0070419736,
ISBN13: 9780070419735,
578 pages, paperback
Published by McGraw-Hill Professional on 1999
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Description of Schaum's Outline of Calculus |
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 includes problems and examples using graphing calculators.
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Contents of Schaum's Outline of Calculus |
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. Absolute and 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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