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Schaum's outline of calculus / Frank Ayres, Jr., Elliot Mendelson.
- Format:
- Book
- Author/Creator:
- Ayres, Frank, 1901-1994, author.
- Series:
- McGraw-Hill's AccessEngineering
- Schaum's outline series
- Schaum's outlines
- Language:
- English
- Subjects (All):
- Calculus--Outlines, syllabi, etc.
- Calculus.
- Coordinates--Outlines, syllabi, etc.
- Coordinates.
- Curvature--Outlines, syllabi, etc.
- Curvature.
- Differential calculus--Outlines, syllabi, etc.
- Differential calculus.
- Differential equations--Outlines, syllabi, etc.
- Differential equations.
- Calculus, Integral--Outlines, syllabi, etc.
- Calculus, Integral.
- Functional analysis--Outlines, syllabi, etc.
- Functional analysis.
- Genre:
- Electronic books.
- Internet resources.
- Physical Description:
- 1 online resource (1 electronic text) : illustrations.
- Edition:
- 6th ed.
- Other Title:
- Calculus
- Place of Publication:
- New York : McGraw-Hill, [2012]
- 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.
- Notes:
- Print version c2012.
- Description based on cover image and table of contents, viewed on December 6, 2012.
- ISBN:
- 9780071795531
- Access Restriction:
- Restricted for use by site license.
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