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E-grāmata: Schaum's Outline of Beginning Calculus, Third Edition

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  • Formāts: 416 pages
  • Izdošanas datums: 14-Sep-2009
  • Izdevniecība: Schaum Outline Series
  • Valoda: eng
  • ISBN-13: 9780071815239
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Schaum's Outline of Beginning Calculus, Third EditionPalielināt
  • Formāts: 416 pages
  • Izdošanas datums: 14-Sep-2009
  • Izdevniecība: Schaum Outline Series
  • Valoda: eng
  • ISBN-13: 9780071815239
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Confusing Textbooks? Missed Lectures? Tough Test Questions? .

.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 knowledge .
  • Coverage of the most up-to-date developments in your course field .
  • In-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!.

.Schaum's Outlines-Problem Solved..

Coordinate Systems on a Line
1(7)
The Coordinates of a Point
1(1)
Absolute Value
2(6)
Coordinate Systems in a Plane
8(7)
The Coordinates of a Point
8(2)
The Distance Formula
10(1)
The Midpoint Formulas
11(4)
Graphs of Equations
15(10)
Straight Lines
25(13)
Slope
25(2)
Equations of a Line
27(3)
Parallel Lines
30(1)
Perpendicular Lines
31(7)
Intersections of Graphs
38(6)
Symmetry
44(5)
Symmetry about a Line
44(1)
Symmetry about a Point
45(4)
Functions and Their Graphs
49(14)
The Notion of a Function
49(3)
Intervals
52(1)
Even and Odd Functions
53(2)
Algebra Review: Zeros of Polynomials
55(8)
Limits
63(8)
Introduction
63(1)
Properties of Limits
63(2)
Existence or Nonexistence of the Limit
65(6)
Special Limits
71(11)
One-Sided Limits
71(1)
Infinite Limits: Vertical Asymptotes
72(2)
Limits at Infinity: Horizontal Asymptotes
74(8)
Continuity
82(9)
Definition and Properties
82(1)
One-Sided Continuity
83(1)
Continuity over a Closed Interval
84(7)
The Slope of a Tangent Line
91(6)
The Derivative
97(8)
More on the Derivative
105(5)
Differentiability and Continuity
105(1)
Further Rules for Derivatives
105(5)
Maximum and Minimum Problems
110(12)
Relative Extrema
110(1)
Absolute Extrema
111(11)
The Chain Rule
122(11)
Composite Functions
122(1)
Differentiation of Composite Functions
123(10)
Implicit Differentiation
133(4)
The Mean-Value Theorem and the Sign of the Derivative
137(8)
Rolle's Theorem and the Mean-Value Theorem
137(1)
The Sign of the Derivative
138(7)
Rectilinear Motion and Instantaneous Velocity
145(7)
Instantaneous Rate of Change
152(4)
Related Rates
156(8)
Approximation by Differentials; Newton's Method
164(7)
Estimating the Value of a Function
164(1)
The Differential
165(1)
Newton's Method
166(5)
Higher-Order Derivatives
171(7)
Applications of the Second Derivative and Graph Sketching
178(12)
Concavity
178(2)
Test for Relative Extrema
180(2)
Graph Sketching
182(8)
More Maximum and Minimum Problems
190(7)
Angle Measure
197(6)
Arc Length and Radian Measure
197(2)
Directed Angles
199(4)
Sine and Cosine Functions
203(12)
General Definition
203(2)
Properties
205(10)
Graphs and Derivatives of Sine and Cosine Functions
215(12)
Graphs
215(3)
Derivatives
218(9)
The Tangent and Other Trigonometric Functions
227(8)
Antiderivatives
235(8)
Definition and Notation
235(1)
Rules for Antiderivatives
236(7)
The Definite Integral
243(10)
Sigma Notation
243(1)
Area under a Curve
243(3)
Properties of the Definite Integral
246(7)
The Fundamental Theorem of Calculus
253(11)
Calculation of the Definite Integral
253(1)
Average Value of a Function
254(1)
Change of Variable in a Definite Integral
255(9)
Applications of Integration I: Area and ARC Length
264(9)
Area between a Curve and the y-Axis
264(1)
Area between Two Curves
265(2)
Arc Length
267(6)
Applications of Integration II: Volume
273(12)
Solids of Revolution
273(3)
Volume Based on Cross Sections
276(9)
The Natural Logarithm
285(7)
Definition
285(1)
Properties
286(6)
Exponential Functions
292(9)
Introduction
292(1)
Properties of ax
292(1)
The Function ex
293(8)
L'Hopital's Rule; Exponential Growth and Decay
301(8)
L'Hopital's Rule
301(2)
Exponential Growth and Decay
303(6)
Inverse Trigonometric Functions
309(14)
One-One Functions
309(2)
Inverses of Restricted Trigonometric Functions
311(12)
Integration by Parts
323(6)
Trigonometric Integrands and Trigonometric Substitutions
329(10)
Integration of Trigonometric Functions
329(2)
Trigonometric Substitutions
331(8)
Integration of Rational Functions; the Method of Partial Fractions
339(8)
Appendix A Trigonometric Formulas 347(1)
Appendix B Basic Integration Formulas 348(1)
Appendix C Geometric Formulas 349(1)
Appendix D Trigonometric Functions 350(2)
Appendix E Natural Logarithms 352(2)
Appendix F Exponential Functions 354(2)
Answers to Supplementary Problems 356(37)
Index 393
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