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Nederlands Buitenlands   Alles  Titel  Auteur  ISBN        
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Denise Szecsei

Calculus

€ 19.49



Taal / Language : English

Inhoudsopgave:
Preface 9(2)
Chapter 1: A Review of Functions 11(14)
Lesson 1-1: Representing Functions
11(1)
Lesson 1-2: The Domain of a Function
12(2)
Lesson 1-3: Operations on Functions
14(2)
Lesson 1-4: Transformations of Functions
16(1)
Lesson 1-5: Symmetry
17(2)
Lesson 1-6: Difference Quotients
19(3)
Lesson 1-7: Increasing and Decreasing Functions
22(3)
Chapter 2: Elementary Functions 25(22)
Lesson 2-1: Linear Functions
25(2)
Lesson 2-2: Quadratic Functions
27(6)
Lesson 2-3: Polynomials
33(3)
Lesson 2-4: Rational Functions
36(4)
Lesson 2-5: Power Functions
40(2)
Lesson 2-6: Piecewise-Defined Functions
42(5)
Chapter 3: Exponential and Logarithmic Functions 47(18)
Lesson 3-1: Exponential Functions
47(4)
Lesson 3-2: Inverse Functions
51(4)
Lesson 3-3: Logarithmic Functions
55(3)
Lesson 3-4: Exponential and Logarithmic Equations
58(7)
Chapter 4: Trigonometric Functions 65(14)
Lesson 4-1: Sine and Cosine
65(4)
Lesson 4-2: The Tangent Function
69(1)
Lesson 4-3: Secant, Cosecant and Cotangent Functions
70(3)
Lesson 4-4: Identities and Formulas
73(2)
Lesson 4-5: Inverse Trigonometric Functions
75(4)
Chapter 5: Limits 79(20)
Lesson 5-1: Evaluating Limits Numerically
80(6)
Lesson 5-2: Evaluating Limits Graphically
86(3)
Lesson 5-3: Evaluating Limits Algebraically
89(6)
Lesson 5-4: Evaluating Limits That Involve Infinity
95(4)
Chapter 6: Continuity 99(14)
Lesson 6-1: Continuity and Limits
99(6)
Lesson 6-2: Types of Discontinuities
105(2)
Lesson 6-3: The Intermediate Value Theorem
107(6)
Chapter 7: The Derivative 113(22)
Lesson 7-1: Secant Lines and Difference Quotients
113(4)
Lesson 7-2: Tangent Lines
117(1)
Lesson 7-3: The Definition of the Derivative
118(4)
Lesson 7-4: The Existence of the Derivative
122(4)
Lesson 7-5: The Derivative and Tangent Line Equations
126(4)
Lesson 7-6: Notation
130(5)
Chapter 8: Rules For Differentiation 135(18)
Lesson 8-1: Sums and Differences
135(2)
Lesson 8-2: The Power Rule
137(3)
Lesson 8-3: The Product Rule
140(4)
Lesson 8-4: The Quotient Rule
144(9)
Chapter 9: Derivatives of Exponential and Trigonometric Functions 153(14)
Lesson 9-1: Exponential Functions
153(4)
Lesson 9-2: Hyperbolic Functions
157(5)
Lesson 9-3: Trigonometric Functions
162(5)
Chapter 10: The Chain Rule 167(20)
Lesson 10-1: The Power Form of the Chain Rule
167(1)
Lesson 10-2: The General Chain Rule
168(3)
Lesson 10-3: Implicit Differentiation
171(3)
Lesson 10-4: Inverse Functions
174(3)
Lesson 10-5: Logarithmic Functions
177(2)
Lesson 10-6: Inverse Trigonometric Functions
179(2)
Lesson 10-7: Parametric Derivatives
181(6)
Chapter 11: Applications of the Derivative 187(16)
Lesson 11-1: Using the Tangent Line
187(5)
Lesson 11-2: Derivatives and Motion
192(4)
Lesson 11-3 Differentials
196(2)
Lesson 11-4 Rolle`s Theorem and the Mean Value Theorem
198(5)
Chapter 12: Further Applications of the Derivative 203(18)
Lesson 12-1: Related Rates
203(3)
Lesson 12-2: L`Hopital`s Rule
206(5)
Lesson 12-3: The Extreme Value Theorem and Optimization
211(10)
Chapter 13: Graphical Analysis Using the First Derivative 221(12)
Lesson 13-1: The First Derivative
221(2)
Lesson 13-2: Using the First Derivative
223(3)
Lesson 13-3: Relating the Graphs of (x) and `(x)
226(7)
Chapter 14: Graphical Analysis Using the Second Derivative 233(18)
Lesson 14-1: The Second Derivative and Concavity
233(5)
Lesson 14-2: Inflection Points
238(2)
Lesson 14-3: Using the Second Derivative
240(3)
Lesson 14-4: Relating the Graphs of (x), `(x), and `(x)
243(8)
Chapter 15: Integration 251(28)
Lesson 15-1: Anti-Derivatives
251(4)
Lesson 15-2: Substitution
255(3)
Lesson 15-3: Integration by Parts
258(2)
Lesson 15-4: Integrating Rational Functions
260(4)
Lesson 15-5: A Strategy for Integration
264(2)
Lesson 15-6: Area and the Riemann Sum
266(6)
Lesson 15-7: The Fundamental Theorem of Calculus
272(7)
Index 279(6)
About the Author 285
Extra informatie: 
Paperback / softback
285 pagina's
Januari 2006
472 gram
229 x 152 x 19 mm
CAREER PR gb


Levertijd: 5 tot 11 werkdagen