Schaum's outline of theory and problems of differential and integral calculus

By:

Ayres, Frank

Contributor(s):

Mendelson, Elliott

Material type: Text

9780070026629
0070026629
9780071125314
0071125310,

Subject(s):

Calculus -- Outlines, syllabi, etc

DDC classification:

515.4 AYR

Contents:

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 -- Absoluteand 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.

Summary: An outline covering differentiation, exponentials, logarithmic and hyperbolic functions, centroids and moments of inertia, infinite series, partial derivatives, vector calculus and applications of indefinite integrals.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Reference Books	Main Library Reference	Reference	515.4 AYR (Browse shelf(Opens below))	Available		001114

Total holds: 0

Includes Index

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 --
Absoluteand 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.

An outline covering differentiation, exponentials, logarithmic and hyperbolic functions, centroids and moments of inertia, infinite series, partial derivatives, vector calculus and applications of indefinite integrals.

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