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E-grāmata: Schaum's Outline of Calculus, 5ed: Schaum's Outline of Calc, 5ed

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  • Formāts: 552 pages
  • Sērija : Schaum's Outline Series
  • Izdošanas datums: 31-Aug-2008
  • Izdevniecība: McGraw-Hill Professional
  • Valoda: eng
  • ISBN-13: 9780071508629
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Schaum's Outline of Calculus, 5ed: Schaum's Outline of Calc, 5edPalielināt
  • Formāts: 552 pages
  • Sērija : Schaum's Outline Series
  • Izdošanas datums: 31-Aug-2008
  • Izdevniecība: McGraw-Hill Professional
  • Valoda: eng
  • ISBN-13: 9780071508629
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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 subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you





Practice problems with full explanations that reinforce knowledgeCoverage of the most up-to-date developments in your course fieldIn-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!

An enhanced ebook is now available with 30 videos of professors showing you exactly how to solve calculus problems! Select the Kindle Edition with Audio/Video from the available formats.

Schaum's Outlines-Problem Solved.
Linears Coordinate Systems. Ansolute Value. Inequalitites
1(8)
Lineqr Coordinate System
Finite Intervals
Infinite Intervals
Inequalities
Rectangular Coordinate Systems
9(9)
Coordinate Axes
Coordinates
Quadrants
The distance Formula
The Midpoint Formulas
Proofs of Geometric Theorems
Lines
18(11)
The Steepness of a Line
The sign of the Slope
Slope and Steepnes
Equations of Lines
A Point-Slope Equation
Slope-Intercept Equatio
Parallel Lines
Perpendicular LInes
Circles
29(8)
Equations of Circles
The Standard Equation of a Circle
Equations and Their Graphs
37(12)
The Graph of an Equation
Parabolas
Ellipses
Hyperbolas
Conic
Sections
Functions
49(7)
Limits
56(10)
Limit of a Function
Right and Left LImits
Theorems on Limits
Infinity
Continuitys
66(7)
Continous Function
The Derivative
73(6)
Delta Notation
The Derivative
Notation for Derivatives
Differentiabilityd
Rules for Differentiating Functions
79(11)
Differentiation
Composite Functions. The Chain Rule
Alternative Formulation of the Chain Rule
Inverse Functions
Higher Derivatives
Implicit Differentiation
90(3)
Implicit Functions
Derivatives of Higher Order
Tangent and NOrmal LInes
93(5)
The Angles of Intersection
Law of the Mean. Increasing and Decresing Functions
98(7)
Relative Maximum and Minimum
Increasing and Decreasing Functions
Maximum and MInimum Values
105(14)
Critical Numbers
SEcond Derivative Test for Relative Extrema
First Derivative Test
Absolute Maximum and Minimum
Tabular Method for Finding the Absolute Maximum and Minimum
Curve Sketching. Concavity, Symmetery
119(11)
Concavity
Points of Inflection
Vertical Asymptotes
Horizontal Asymptotes
Symmetry
Inverse Functions and Symmetry
Even and Odd Functions
Hints for Sketching the Graph of y=f(x)
Review of Trigonometry
130(9)
Angle Measure
Directed Angles
Sine and Cosine Functions
Differentiation of Trigonometric Functions
139(13)
Continuity of cos x and sin x
Graph of sin x
Graph of cos x
Other Trigonometric Functions
Derivatives
Other Relationships
Graph of y=tan x
Graph of y=sec x
Angles Between Curves
Inverse Trigonometric Functions
152(9)
The Derivative of sin-1 x
The Inverse Cosine Function
The Inverse Tangent Function
Rectilinear and Circular MOtion
161(6)
Rectilinear MOtion
Motion Under the INfluence of Gravity
Circular Motion
Related Rates
167(6)
Differentials. Newton's Method
173(8)
The Differential
Newton's Method
Antiderivatives
181(9)
Laws for Antiderivatives
The Definite Integral. ARea Under a Curve
190(8)
Sigma Notation
Area Under a Curve
Properties of the Definite Integral
The Fundamental Theorem of Calculus
198(8)
Mean-Value Theorem for Integrals
Average Value of a Function on a Closed Interval
Fundamental Theorem of Calculus
Change of Vairable in a Definite Integral
The Natural Logarithim
206(8)
The Natural Logarithm
Properties of the Natural Logarithm
Exponential and Logarithmic Functions
214(8)
Properties of ex
The General Exponential Function
General Logarithmic Functions
L'Hopital's Rule
222(8)
L'Hoptial's Rule
Indeterminate Type 0.∞
Indeterminate Type ∞-∞
Indeterminate Types 0°, ∞, and 1-
Exponential Growthj and Decay
230(5)
Half-Life
Applications of Integration I: Area and Arc Length
235(9)
Area Between a Curve and the y Axis
Areas Between Curves
Arc Length
Applications of Integration II: Volume
244(15)
Disk Formula
Washer Formula
Cylinidrical Shell Method
Difference of Shells Formula
Cross-Section Formula (Slicing Formula)
Techniques of Integration I: Integration by Parts
259(7)
Techniques of Integraion II: Trigonometrci Integrands and Trigonometric Substitutions
266(13)
Trigonometric Integrandss
Trigonometric Substitutions
Techniques of Integration III: Integration by Partial Fractions
279(9)
Method of Partial Fractions
Techniques of Integration IV: Miscellaneous Substitutions
288(5)
Improper Integrals
293(8)
Infinite Limits of Integration
Discountinuities of the Integrand
Applications of Integration III: Area of a Surface of Revolution
301(6)
Parametric Representation of Curves
307(5)
Parametric Equations
Arc Length for a Parametric Curve
Curvature
312(9)
Derivative of arc Lenght
Curvature
The Radius of Curvature
The Circle of Curvature
The Center of Curvature
The Evolute
Plane Vectors
321(11)
Scalars and Vectors
Sum and Difference of Two Vectors
Components of a vector
SCalar Product (or Dot Product)
Scalar and Vector Projections
Differentiation of Vector Functions
Curvilinear Motion
332(7)
Velocity in Curvilinear Motion
Acceleration in Curvilinear Motion
Tangential and Normal Components of Acceleration
Polar Coordinates
339(13)
Polar and Rectangular Coordinates
Some Typical Polar Curves
Angle of Inclination
Points of Intersection
Angle of Intersection
The Derivative of the Arc Length
Curvature
Infinite Sequences
352(8)
Infinite Sequences
Limit of a SEquence
Monotomic Sequence
Infinite Seires
360(6)
Geometric Series
Series with Positive Terms. The Integral Test. Comparison Tests
366(9)
Series of Positive Terms
Alternating Series. Absolute and Conditional Convergence. The Ratio Test
375(8)
Alternating Series
Power Series
383(13)
Power Series
Uniform Convergence
Taylor and Maclauring Series. Taylor's Formula with Remainder
396(9)
Taylor and Maclaurin Series
Application of Taylor's Formula with Remainder
Partial Derivatives
405(9)
Functions of Several Variables
Limits
Continuity
Partial Derivatives
Parital Derivatives of Higher Order
Total Differential Differentiability Chain Rules
414(12)
Total Differential
Differentiability
Chain Rules
Implicit Differentiation
Space Vectors
426(15)
Vectors in Space
Direction of a Vector
Determinants
Vector Perpendicular to Two Vectors
Vector Product of Two Vectors
Triple Scalar Product
Triple Vector Product
The Straight Line
The Plane
Surfaces and Curves in Space
441(11)
Planes
Spheres
Cylindirical Surfaces
Ellipsoid
Elliptic
Paraboloid
Elliptic cone
Hyperbolic Paraboloid
Hyperboloid of One Sheet
Hyperboloid of Two Sheets
Tangent Line and Normal Plane to a Space Curve
Tangent Plane and Normal line to a Surface
Surface of Revolution
Directional Derivatives. Maximum and Minimum Values
452(8)
Directional Derivatives
Relative Maximum and Minimum Values
Absolute Maximum and Minimum Values
Vector Differentiation and Integration
460(14)
Vector Differentiation
Space Cruves
Surfaces
The Opearation V
Divergence and Curl
Integration
Line Integrals
Double and Iterated Integrals
474(7)
The Double Integral
The Interate Integral
Centroids and Moments of Inertia of Plan Areas
481(8)
Plane Area by Double Integration
Centroids
Moments of Inertia
Double Integration Applied to Volume Under a Surface and the Area of a Curved Surface
489(9)
Tiple Integrals
498(12)
Cylindrical and Spherical Coordinates
The Triple Integral
Evaluation of Triple Integrals
Centroids and Moments of Inertia
Masses of Variable Density
510(6)
Differential Equations of First and Second Order
516(11)
Separable Differentialsd Equations
Homogeneous Functions
Integrating Factors
Second-Order Equations
Appendix A 527(1)
Appendix B 528(1)
Index 529
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McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide
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