Calculus: Early Transcendental Functions / Robert T. Smith, Roland B. Minton
Publication details: Boston; McGraw Hill; c2007Description: xxxii, v pagings. : ill.{some col.} ; 27 cmISBN:- 9780072869538
- 0072869534
- 22 515 SMI
- 3rd edition
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| 515 SMI 67 Calculus: Early Transcendental Functions / | 515 SMI 7 Calculus / | 515 SMI 7 Calculus: Early Transcendental Functions / | 515 SMI 70 Calculus: Early Transcendental Functions / | 515 SMI 8 Calculus / | 515 SMI 8 Calculus: Early Transcendental Functions / | 515 SMI 9 Calculus / |
CONTENT
CHAPTER 1 LIMITS AND CONTINUITY
1.1 A Brief Preview of Calculus: Tangent Lines and the Length of a Curve
1.2 The Concepts of Limit
1.3 Computation of Limits
1.4 Continuity and Its Consequences, etc.
CHAPTER 2 DIFFERENTIATION: ALGEBRAIC, TRIGONOMETRIC, EXPONENTIAL AND LOGARITHMIC FUNCTIONS
2.1 Tangent Lines and Velocity
2.2 The Derivative
2.3 Computation of Derivatives: The Power Rule, etc.
CHAPTER 3 APPLICATIONS OF DIFFERENTIATION
3.1 Linear Approximations and L' Hopital's Rule
3.2 Newton's Method
3.3 Maximum and Minimum Values, etc.
CHAPTER 4 INTEGRATION
4.1 Anti - derivatives
4.2 Sums and Sigma Notation
4.3 Area
CHAPTER 5 APPLICATIONS OF THE DEFINITE INTEGRAL
5.1 Area between Curves
5.2 Volume
5.3 Volumes by Cylindrical Shells, etc.
CHAPTER 6 EXPONENTIAL, LOGARITHM-SAND OTHER TRANSCENDENTAL FUNCTIONS
6.1 Review of Formulas and Techniques
6.2 Integration by Parts
6.3 Trigonometric Techniques of Integration, etc.
CHAPTER 7 INTEGRATION TECHNIQUES
7.1 Modeling with Differential Equations
7.2 Separable Differential Equations
7.3 Direction Fields and Euler's Method, etc.
CHAPTER 8 INFINITE SERIES
8.1 Sequences of Real Numbers
8.2 Infinite Series
8.3 The Integral Test and Comparison Tests, etc.
CHAPTER 9 PARAMETRIC EQUATIONS AND POLAR COORDINATES
9.1 Plane Carves and Parametric Equations
9.2 Calculus and Parametric Equations
9.3 Arc Length and Surface Area in Parametric Equations, etc.
CHAPTER 10 VECTORS AND THE GEOMETRY OF SPACE
10.1 Vector in the Plane
10.2 Vectors in Space
10.3 The Dot Product, etc.
CHAPTER 11 VECTOR- VALUED FUNCTIONS
11.1 Vector-Valued Functions
11.2 The Calculus of Vector-Valued Functions
11.3 Motion in Space, etc.
CHAPTER 12 FUNCTIONS OF SEVERAL VARIBLES AND PARTIAL DIFFERENTIATION
12.1 Functions of Several Variables
12.2 Limits and Continuity
12.3 Partial Derivatives, etc.
CHAPTER MULTIPLE INTEGRALS
13.1 Double Integrals
13.2 Area, Volume and Center of Mass
13.3 Double Integrals in Polar Coordinates, etc.
CHAPTER 14 VECTOR CALCULUS
14.1 Vector Fields
14.2 Line Integrals
14.3 Independence of Path and Conservative Vector Fields, etc.
CHAPTER 15 SECOND ORDER DIFFERENTIAL EQUATIONS
15.1 Second- Order Equations with Constant Coefficients
15.2 Nonhomogeneous Equations: Undetermined Coefficients
15.3 Applications of Second-Order Equations, etc.
Includes Index: p. 1-21
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