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Schaum's outline of calculus / Ayres, Frank.

"Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every...

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Bibliographic Details
Online Access: Full Text (via AccessEngineering)
Main Author: Ayres, Frank, 1901-1994
Other Authors: Mendelson, Elliott
Format: eBook
Language:English
Published: [Place of publication not identified] : McGraw-Hill, 2012.
Edition:6th ed.
Series:McGraw-Hill's AccessEngineering.
Schaum's outlines.
Subjects:
Calculus > Outlines, syllabi, etc.
Coordinates > Outlines, syllabi, etc.
Curvature > Outlines, syllabi, etc.
Differential calculus > Outlines, syllabi, etc.
Differential equations > Outlines, syllabi, etc.
Calculus, Integral > Outlines, syllabi, etc.
Functional analysis > Outlines, syllabi, etc.
Calculus.
Calculus, Integral.
Coordinates.
Curvature.
Differential calculus.
Differential equations.
Functional analysis.
Internet resources.
Outlines and syllabi.
Table of 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'Hôpital'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.

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