- 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: PREDATOR-PREY 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
Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) | 4th Edition - Solutions by ChapterGet Full Solutions
Addition property of inequality
If u < v , then u + w < v + w
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 three-dimensional 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
A sequence or series diverges if it does not converge
Elements of a matrix
See Matrix element.
Matrices that have the same order and equal corresponding elements.
A relation that associates each value in the domain with exactly one value in the range.
The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.
Measure of spread
A measure that tells how widely distributed data are.
A triangle in which one angle is greater than 90°.
See Parametric equations.
An equation in r and ?.
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.
See Component form of a vector.
Zero factor property
If ab = 0 , then either a = 0 or b = 0.