Calculus: Early Transcendentals 2nd edition

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Michael Sullivan and Kathleen Miranda
Publisher: W. H. Freeman

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  • Chapter P: Preparing for Calculus
    • P.1: Functions and Their Graphs
    • P.2: Library of Functions; Mathematical Modeling
    • P.3: Operations on Functions; Graphing Techniques
    • P.4: Inverse Functions
    • P.5: Exponential and Logarithmic Functions
    • P.6: Trigonometric Functions
    • P.7: Inverse Trigonometric Functions
    • P.8: Sequences; Summation Notation; the Binomial Theorem

  • Chapter 1: Limits and Continuity
    • 1.1: Limits of Functions Using Numerical and Graphical Techniques
    • 1.2: Limits of Functions Using Properties of Limits
    • 1.3: Continuity
    • 1.4: Limits and Continuity of Trigonometric, Exponential, and Logarithmic Functions
    • 1.5: Infinite Limits; Limits at Infinity; Asymptotes
    • 1.6: The εδ Definition of a Limit
    • 1: Chapter Review
    • 1: Chapter Project: Pollution in Clear Lake

  • Chapter 2: The Derivative
    • 2.1: Rates of Change and the Derivative
    • 2.2: The Derivative as a Function
    • 2.3: The Derivative of a Polynomial Function; The Derivative of y = ex
    • 2.4: Differentiating the Product and the Quotient of Two Functions; Higher-Order Derivatives
    • 2.5: The Derivative of the Trigonometric Functions
    • 2: Chapter Review
    • 2: Chapter Project: The Lunar Module

  • Chapter 3: More About Derivatives
    • 3.1: The Chain Rule
    • 3.2: Implicit Differentiation
    • 3.3: Derivatives of the Inverse Trigonometric Functions
    • 3.4: Derivatives of Logarithmic Functions
    • 3.5: Differentials; Linear Approximations; Newton's Method
    • 3.6: Hyperbolic Functions
    • 3: Chapter Review
    • 3: Chapter Project: World Population

  • Chapter 4: Applications of the Derivative
    • 4.1: Related Rates
    • 4.2: Maximum and Minimum Values; Critical Numbers
    • 4.3: The Mean Value Theorem
    • 4.4: Local Extrema and Concavity
    • 4.5: Indeterminate Forms and L'Hôpital's Rule
    • 4.6: Using Calculus to Graph Functions
    • 4.7: Optimization
    • 4.8: Antiderivatives; Differential Equations
    • 4: Chapter Review
    • 4: Chapter Project: The U.S. Economy

  • Chapter 5: The Integral
    • 5.1: Area
    • 5.2: The Definite Integral
    • 5.3: The Fundamental Theorem of Calculus
    • 5.4: Properties of the Definite Integral
    • 5.5: The Indefinite Integral; Method of Substitution
    • 5.6: Separable First-Order Differential Equations; Uninhibited and Inhibited Growth and Decay Models
    • 5: Chapter Review
    • 5: Chapter Project: Managing the Klamath River

  • Chapter 6: Applications of the Integral
    • 6.1: Area Between Graphs
    • 6.2: Volume of a Solid of Revolution: Disks and Washers
    • 6.3: Volume of a Solid of Revolution: Cylindrical Shells
    • 6.4: Volume of a Solid: Slicing
    • 6.5: Arc Length; Surface Area of a Solid of Revolution
    • 6.6: Work
    • 6.7: Hydrostatic Pressure and Force
    • 6.8: Center of Mass; Centroid; The Pappus Theorem
    • 6: Chapter Review
    • 6: Chapter Project: Determining the Amount of Concrete Needed for a Cooling Tower

  • Chapter 7: Techniques of Integration
    • 7.1: Integration by Parts
    • 7.2: Integrals Containing Trigonometric Functions
    • 7.3: Integration Using Trigonometric Substitution: Integrands Containing a2 - x2 , x2 + a2, or x2 - a2, a > 0
    • 7.4: Integrands Containing ax2 + bx + c, a ≠ 0
    • 7.5: Integration of Rational Functions Using Partial Fractions; the Logistic Model
    • 7.6: Approximating Integrals: The Trapezoidal Rule, the Midpoint Rule, Simpson's Rule
    • 7.7: Improper Integrals
    • 7.8: Integration Using Tables and Computer Algebra Systems
    • 7.9: Mixed Practice
    • 7: Chapter Review
    • 7: Chapter Project: The Birds of Rügen Island

  • Chapter 8: Infinite Series
    • 8.1: Sequences
    • 8.2: Infinite Series
    • 8.3: Properties of Series; Series with Positive Terms; the Integral Test
    • 8.4: Comparison Tests
    • 8.5: Alternating Series; Absolute Convergence
    • 8.6: Ratio Test; Root Test
    • 8.7: Summary of Tests
    • 8.8: Power Series
    • 8.9: Taylor Series; Maclaurin Series
    • 8.10: Approximations Using Taylor/Maclaurin Expansions
    • 8: Chapter Review
    • 8: Chapter Project: How Calculators Calculate

  • Chapter 9: Parametric Equations; Polar Equations
    • 9.1: Parametric Equations
    • 9.2: Tangent Lines
    • 9.3: Arc Length; Surface Area of a Solid of Revolution
    • 9.4: Polar Coordinates
    • 9.5: Polar Equations; Parametric Equations of Polar Equations; Arc Length of Polar Equations
    • 9.6: Area in Polar Coordinates
    • 9.7: The Polar Equation of a Conic
    • 9: Chapter Review
    • 9: Chapter Project: Polar Graphs and Microphones

  • Chapter 10: Vectors; Lines, Planes, and Quadric Surfaces in Space
    • 10.1: Rectangular Coordinates in Space
    • 10.2: Introduction to Vectors
    • 10.3: Vectors in the Plane and in Space
    • 10.4: The Dot Product
    • 10.5: The Cross Product
    • 10.6: Equations of Lines and Planes in Space
    • 10.7: Quadric Surfaces
    • 10: Chapter Review
    • 10: Chapter Project: The Hall Effect

  • Chapter 11: Vector Functions
    • 11.1: Vector Functions and Their Derivatives
    • 11.2: Unit Tangent and Principal Unit Normal Vectors; Arc Length
    • 11.3: Arc Length as Parameter; Curvature
    • 11.4: Motion Along a Curve
    • 11.5: Integrals of Vector Functions; Projectile Motion
    • 11.6: Application: Kepler's Laws of Planetary Motion
    • 11: Chapter Review
    • 11: Chapter Project: How to Design a Safe Road

  • Chapter 12: Functions of Several Variables
    • 12.1: Functions of Two or More Variables and Their Graphs
    • 12.2: Limits and Continuity
    • 12.3: Partial Derivatives
    • 12.4: Differentiability and the Differential
    • 12.5: Chain Rules
    • 12: Chapter Review
    • 12: Chapter Project: Searching for Exoplanets

  • Chapter 13: Directional Derivatives, Gradients, and Extrema
    • 13.1: Directional Derivatives; Gradients
    • 13.2: Tangent Planes
    • 13.3: Extrema of Functions of Two Variables
    • 13.4: Lagrange Multipliers
    • 13: Chapter Review
    • 13: Chapter Project: Measuring Ice Thickness on Crystal Lake

  • Chapter 14: Multiple Integrals
    • 14.1: The Double Integral over a Rectangular Region
    • 14.2: The Double Integral over Nonrectangular Regions
    • 14.3: Double Integrals Using Polar Coordinates
    • 14.4: Center of Mass; Moment of Inertia
    • 14.5: Surface Area
    • 14.6: The Triple Integral
    • 14.7: Triple Integrals Using Cylindrical Coordinates
    • 14.8: Triple Integrals Using Spherical Coordinates
    • 14.9: Change of Variables Using Jacobians
    • 14: Chapter Review
    • 14: Chapter Project: Density of a Star

  • Chapter 15: Vector Calculus
    • 15.1: Vector Fields
    • 15.2: Line Integrals of Scalar Functions
    • 15.3: Line Integrals of Vector Fields; Work
    • 15.4: Fundamental Theorem of Line Integrals
    • 15.5: Green's Theorem
    • 15.6: Parametric Surfaces
    • 15.7: Surface and Flux Integrals
    • 15.8: The Divergence Theorem
    • 15.9: Stokes' Theorem
    • 15: Chapter Review
    • 15: Chapter Project: Modeling a Tornado

  • Chapter 16: Differential Equations
    • 16.1: Classification of Ordinary Differential Equations
    • 16.2: Separation and Homogeneous First-Order Differential Equations; Slope Fields; Euler's Method
    • 16.3: Exact Differential Equations
    • 16.4: First-Order Linear Differential Equations; Bernoulli Differential Equations
    • 16.5: Power Series Methods
    • 16: Chapter Review
    • 16: Chapter Project: The Melting Arctic Ice Cap

  • Chapter A: Precalculus Used in Calculus
    • A.1: Algebra Used in Calculus
    • A.2: Geometry Used in Calculus
    • A.3: Analytic Geometry Used in Calculus
    • A.4: Trigonometry Used in Calculus

  • Chapter B: Theorems and Proofs
    • B.1: Limit Theorems and Proofs
    • B.2: Theorems and Proofs Involving Inverse Functions
    • B.3: Derivative Theorems and Proofs
    • B.4: Integral Theorems and Proofs
    • B.5: A Bounded Monotonic Sequence Converges
    • B.6: Taylor's Formula with Remainder

  • Chapter C: Technology Used in Calculus
    • C.1: Graphing Calculators
    • C.2: Computer Algebra Systems (CAS)


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Group Quantity Questions
Chapter 1: Limits and Continuity
1 0  
Chapter 2: The Derivative
2 0  
Chapter 3: More About Derivatives
3 0  
Chapter 4: Applications of the Derivative
4 0  
Chapter 5: The Integral
5.R 005 055
5.1 006
5.2 044 053
5.3 021 045
5.4 079
5.5 017
5.6 040
Chapter 6: Applications of the Integral
6 0  
Chapter 7: Techniques of Integration
7 0  
Chapter 8: Infinite Series
8 0  
Chapter 9: Parametric Equations; Polar Equations
9 0  
Chapter 10: Vectors; Lines, Planes, and Quadric Surfaces in Space
10 0  
Chapter 11: Vector Functions
11 0  
Chapter 12: Functions of Several Variables
12 0  
Chapter 13: Directional Derivatives, Gradients, and Extrema
13 0  
Chapter 14: Multiple Integrals
14 0  
Chapter 15: Vector Calculus
15 0  
Chapter 16: Differential Equations
16 0  
Total 0 (10)