Test Bank for Single Variable Calculus 8th Edition by James Stewart – Ebook PDF Instant Download/Delivery:1305266633,9781305266636
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ISBN 10:1305266633
ISBN 13: 978-1305266636
Author: James Stewar
Success in your calculus course starts here! James Stewart’s CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With SINGLE VARIABLE CALCULUS, Eighth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course.
Single Variable Calculus 8th Table of contents:
Chapter 1: Functions and Limits
1.1 Four Ways to Represent a Function
1.2 Mathematical Models: A Catalog of Essential Functions
1.3 New Functions from Old Functions
1.4 The Tangent and Velocity Problems
1.5 The Limit of a Function
1.6 Calculating Limits Using the Limit Laws
1.7 The Precise Definition of a Limit
1.8 Continuity
Review
Principles of Problem Solving
Chapter 2: Derivatives
2.1 Derivatives and Rates of Change
Writing Project • Early Methods for Finding Tangents
2.2 The Derivative as a Function
2.3 Differentiation Formulas
Applied Project • Building a Better Roller Coaster
2.4 Derivatives of Trigonometric Functions
2.5 The Chain Rule
Applied Project • Where Should a Pilot Start Descent
2.6 Implicit Differentiation
Laboratory Project • Families of Implicit Curves
2.7 Rates of Change in the Natural and Social Sciences
2.8 Related Rates
2.9 Linear Approximations and Differentials
Laboratory Project • Taylor Polynomials
Review
Problems Plus
Chapter 3: Applications of Differentiation
3.1 Maximum and Minimum Values
Applied Project • The Calculus of Rainbows
3.2 The Mean Value Theorem
3.3 How Derivatives Affect the Shape of a Graph
3.4 Limits at Infinity; Horizontal Asymptotes
3.5 Summary of Curve Sketching
3.6 Graphing with Calculus and Calculators
3.7 Optimization Problems
Applied Project • The Shape of a Can
Applied Project • Planes and Birds: Minimizing Energy
3.8 Newton’s Method
3.9 Antiderivatives
Review
Problems Plus
Chapter 4: Integrals
4.1 Areas and Distances
4.2 The Definite Integral
Discovery Project • Area Functions
4.3 The Fundamental Theorem of Calculus
4.4 Indefinite Integrals and the Net Change Theorem
Writing Project • Newton, Leibniz, and the Invention of Calculus
4.5 The Substitution Rule
Review
Problems Plus
Chapter 5: Applications of Integration
5.1 Areas Between Curves
Applied Project • The Gini Index
5.2 Volumes
5.3 Volumes by Cylindrical Shells
5.4 Work
5.5 Average Value of a Function
Applied Project • Calculus and Baseball
Review
Problems Plus
Chapter 6: Inverse Functions
6.1 Inverse Functions
6.2 Exponential Functions and Their Derivatives
6.2* The Natural Logarithmic Function
6.3 Logarithmic Functions
6.3* The Natural Exponential Function
6.4 Derivatives of Logarithmic Functions
6.4* General Logarithmic and Exponential Functions
6.5 Exponential Growth and Decay
Applied Project • Controlling Red Blood Cell Loss During Surgery
6.6 Inverse Trigonometric Functions
Applied Project • Where to Sit at the Movies
6.7 Hyperbolic Functions
6.8 Indeterminate Forms and l’Hospital’s Rule
Writing Project • The Origins of l’Hospital’s Rule
Review
Problems Plus
Chapter 7: Techniques of Integration
7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
7.4 Integration of Rational Functions by Partial Fractions
7.5 Strategy for Integration
7.6 Integration Using Tables and Computer Algebra Systems
Discovery Project • Patterns in Integrals
7.7 Approximate Integration
7.8 Improper Integrals
Review
Problems Plus
Chapter 8: Further Applications of Integration
8.1 Arc Length
Discovery Project • Arc Length Contest
8.2 Area of a Surface of Revolution
Discovery Project • Rotating on a Slant
8.3 Applications to Physics and Engineering
Discovery Project • Complementary Coffee Cups
8.4 Applications to Economics and Biology
8.5 Probability
Review
Problems Plus
Chapter 9: Differential Equations
9.1 Modeling with Differential Equations
9.2 Direction Fields and Euler’s Method
9.3 Separable Equations
Applied Project • How Fast Does a Tank Drain
Applied Project • Which Is Faster, Going Up or Coming Down
9.4 Models for Population Growth
9.5 Linear Equations
9.6 Predator-Prey Systems
Review
Problems Plus
Chapter 10: Parametric Equations and Polar Coordinates
10.1 Curves Defined by Parametric Equations
Laboratory Project • Running Circles Around Circles
10.2 Calculus with Parametric Curves
Laboratory Project • Bézier Curves
10.3 Polar Coordinates
Laboratory Project • Families of Polar Curves
10.4 Areas and Lengths in Polar Coordinates
10.5 Conic Sections
10.6 Conic Sections in Polar Coordinates
Review
Problems Plus
Chapter 11: Infinite Sequences and Series
11.1 Sequences
Laboratory Project • Logistic Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series
11.8 Power Series
11.9 Representations of Functions as Power Series
11.10 Taylor and Maclaurin Series
Laboratory Project • An Elusive Limit
Writing Project • How Newton Discovered the Binomial Series
11.11 Applications of Taylor Polynomials
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