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Schaum's outline of calculus
Author
Title
Schaum's outline of calculus [electronic resource] / Frank Ayres, Jr., Elliot Mendelson.
ISBN
9780071795531
Edition
6th ed.
Published
New York : McGraw-Hill, [2012]
Physical Description
1 online resource : ill.
Local Notes
Access is available to the Yale community.
Notes
Print version c2012.
Description based on cover image and table of contents, viewed on December 6, 2012.
Access and use
Access restricted by licensing agreement.
Variant and related titles
Calculus
McGraw-Hill's AccessEngineering.
Other formats
Also issued in print.
Format
Books / Online
Language
English
Added to Catalog
August 30, 2019
Series
Schaum's outlines
Contents
Linear coordinate systems. Absolute value. Inequalities
Rectangular coordinate systems
Lines
Circles
Equations and their graphs
Functions
Limits
Continuity
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
Definite integral. Area under a curve
Fundamental theorem of calculus
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
Techniques of integration IV: miscellaneous substitutions
Improper integrals
Applications of integration III: 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 formula 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
Trigonometric formulas
Geometric formulas.
Subjects
Genre/Form
Electronic books.
Internet resources.
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