 Chapter 1: FUNCTIONS AND MODELS
 Chapter 1.1: FUNCTIONS AND MODELS
 Chapter 1.2: MATHEMATICAL MODELS: A CATALOG OF ESSENTIAL FUNCTIONS
 Chapter 1.3: NEW FUNCTIONS FROM OLD FUNCTIONS
 Chapter 1.4: GRAPHING CALCULATORS AND COMPUTERS
 Chapter 1.5: EXPONENTIAL FUNCTIONS
 Chapter 1.6: INVERSE FUNCTIONS AND LOGARITHMS
 Chapter 1.7: PARAMETRIC CURVES
 Chapter 2: LIMITS AND DERIVATIVES
 Chapter 2.1: THE TANGENT AND VELOCITY PROBLEMS
 Chapter 2.2: THE LIMIT OF A FUNCTION
 Chapter 2.3: CALCULATING LIMITS USING THE LIMIT LAWS
 Chapter 2.4: CONTINUITY
 Chapter 2.5: LIMITS INVOLVING INFINITY
 Chapter 2.6: DERIVATIVES AND RATES OF CHANGE
 Chapter 2.7: THE DERIVATIVE AS A FUNCTION
 Chapter 2.8: WHAT DOES SAY ABOUT ?
 Chapter 3: DIFFERENTIATION RULES
 Chapter 3.1: DERIVATIVES OF POLYNOMIALS AND EXPONENTIAL FUNCTIONS
 Chapter 3.2: THE PRODUCT AND QUOTIENT RULES
 Chapter 3.3: DERIVATIVES OF TRIGONOMETRIC FUNCTIONS
 Chapter 3.4: THE CHAIN RULE
 Chapter 3.5: IMPLICIT DIFFERENTIATION
 Chapter 3.6: INVERSE TRIGONOMETRIC FUNCTIONS AND THEIR DERIVATIVES
 Chapter 3.7: DERIVATIVES OF LOGARITHMIC FUNCTIONS
 Chapter 3.8: RATES OF CHANGE IN THE NATURAL AND SOCIAL SCIENCES
 Chapter 3.9: LINEAR APPROXIMATIONS AND DIFFERENTIALS
 Chapter 4: APPLICATIONS OF DIFFERENTIATION
 Chapter 4.1: RELATED RATES
 Chapter 4.2: MAXIMUM AND MINIMUM VALUES
 Chapter 4.3: DERIVATIVES AND THE SHAPES OF CURVES
 Chapter 4.4: GRAPHING WITH CALCULUS AND CALCULATORS
 Chapter 4.5: INDETERMINATE FORMS AND LHOSPITALS RULE
 Chapter 4.6: OPTIMIZATION PROBLEMS
 Chapter 4.7: NEWTONS METHOD
 Chapter 4.8: ANTIDERIVATIVES
 Chapter 5: INTEGRALS
 Chapter 5.1: AREAS AND DISTANCES
 Chapter 5.10: IMPROPER INTEGRALS
 Chapter 5.2: THE DEFINITE INTEGRAL
 Chapter 5.3: EVALUATING DEFINITE INTEGRALS
 Chapter 5.4: THE FUNDAMENTAL THEOREM OF CALCULUS
 Chapter 5.5: THE SUBSTITUTION RULE
 Chapter 5.6: INTEGRATION BY PARTS
 Chapter 5.7: ADDITIONAL TECHNIQUES OF INTEGRATION
 Chapter 5.8: INTEGRATION USING TABLES AND COMPUTER ALGEBRA SYSTEMS
 Chapter 5.9: APPROXIMATE INTEGRATION
 Chapter 6: APPLICATIONS OF INTEGRATION
 Chapter 6.1: MORE ABOUT AREAS
 Chapter 6.2: VOLUMES
 Chapter 6.3: VOLUMES BY CYLINDRICAL SHELLS
 Chapter 6.4: ARC LENGTH
 Chapter 6.5: AVERAGE VALUE OF A FUNCTION
 Chapter 6.6: APPLICATIONS TO PHYSICS AND ENGINEERING
 Chapter 6.7: APPLICATIONS TO ECONOMICS AND BIOLO
 Chapter 6.8: PROBABILITY
 Chapter 7: DIFFERENTIAL EQUATIONS
 Chapter 7.1: MODELING WITH DIFFERENTIAL EQUATIONS
 Chapter 7.2: DIRECTION FIELDS AND EULERS METHOD
 Chapter 7.3: SEPARABLE EQUATIONS
 Chapter 7.4: EXPONENTIAL GROWTH AND DECAY
 Chapter 7.5: THE LOGISTIC EQUATION
 Chapter 7.6: PREDATORPREY SYSTEMS
 Chapter 8: INFINITE SEQUENCES AND SERIES
 Chapter 8.1: SEQUENCES
 Chapter 8.2: SERIES
 Chapter 8.3: THE INTEGRAL AND COMPARISON TESTS; ESTIMATING SUMS
 Chapter 8.4: OTHER CONVERGENCE TESTS
 Chapter 8.5: POWER SERIES
 Chapter 8.6: REPRESENTATIONS OF FUNCTIONS AS POWER SERIES
 Chapter 8.7: TAYLOR AND MACLAURIN SERIES
 Chapter 8.8: APPLICATIONS OF TAYLOR POLYNOMIALS
Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) 4th Edition  Solutions by Chapter
Full solutions for Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series)  4th Edition
ISBN: 9780495559726
Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series)  4th Edition  Solutions by Chapter
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Addition property of inequality
If u < v , then u + w < v + w

Convenience sample
A sample that sacrifices randomness for convenience

Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian threedimensional space

Degree of a polynomial (function)
The largest exponent on the variable in any of the terms of the polynomial (function)

Difference of complex numbers
(a + bi)  (c + di) = (a  c) + (b  d)i

Divergence
A sequence or series diverges if it does not converge

Elements of a matrix
See Matrix element.

Equal matrices
Matrices that have the same order and equal corresponding elements.

Function
A relation that associates each value in the domain with exactly one value in the range.

Heron’s formula
The area of ¢ABC with semiperimeter s is given by 2s1s  a21s  b21s  c2.

Initial point
See Arrow.

Measure of spread
A measure that tells how widely distributed data are.

Obtuse triangle
A triangle in which one angle is greater than 90°.

Parameter
See Parametric equations.

Polar equation
An equation in r and ?.

Positive angle
Angle generated by a counterclockwise rotation.

Terms of a sequence
The range elements of a sequence.

Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

Vertical component
See Component form of a vector.

Zero factor property
If ab = 0 , then either a = 0 or b = 0.