Calculus 9th edition

Textbook Cover

James Stewart, Daniel Clegg and Saleem Watson
Publisher: Cengage Learning


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  • Chapter DT: Diagnostic Tests
    • DT.A: Algebra
    • DT.B: Analytic Geometry
    • DT.C: Functions
    • DT.D: Trigonometry

  • Chapter QP: Quick Prep Topics
    • QP.1: Definition and Representations of Functions
    • QP.2: Working with Representations of Functions
    • QP.3: Function Notation
    • QP.4: Domain and Range of a Function
    • QP.5: Solving Linear Equations
    • QP.6: Linear Functions
    • QP.7: Parabolas
    • QP.8: Factoring Quadratic Equations and Finding x-intercepts of a Quadratic Function
    • QP.9: Polynomials
    • QP.10: More about Factoring Polynomials
    • QP.11: Finding Roots
    • QP.12: Dividing Polynomials
    • QP.13: Rational Functions
    • QP.14: Root Functions
    • QP.15: Rationalizing the Numerator or Denominator
    • QP.16: Exponential Functions
    • QP.17: Logarithmic Functions
    • QP.18: Trigonometric Functions and the Unit Circle
    • QP.19: Graphs of Trigonometric Functions
    • QP.20: Trigonometric Identities
    • QP.21: Special Functions
    • QP.22: Algebraic Combinations of Functions
    • QP.23: Composition of Functions
    • QP.24: Transformations of Functions
    • QP.25: Inverse Functions

  • 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
    • 1: Concept Check
    • 1: True-False Quiz
    • 1: Review Exercises
    • 1: Principles of Problem Solving
    • 1: Extra Problems
    • 1: Just-in-Time Questions

  • Chapter 2: Derivatives
    • 2.1: Derivatives and Rates of Change
    • 2.2: The Derivative as a Function
    • 2.3: Differentiation Formulas
    • 2.4: Derivatives of Trigonometric Functions
    • 2.5: The Chain Rule
    • 2.6: Implicit Differentiation
    • 2.7: Rates of Change in the Natural and Social Sciences
    • 2.8: Related Rates
    • 2.9: Linear Approximations and Differentials
    • 2: Concept Check
    • 2: True-False Quiz
    • 2: Review Exercises
    • 2: Problems Plus
    • 2: Extra Problems
    • 2: Just-in-Time Questions

  • Chapter 3: Applications of Differentiation
    • 3.1: Maximum and Minimum Values
    • 3.2: The Mean Value Theorem
    • 3.3: What Derivatives Tell Us about the Shape of a Graph
    • 3.4: Limits at Infinity; Horizontal Asymptotes
    • 3.5: Summary of Curve Sketching
    • 3.6: Graphing with Calculus and Technology
    • 3.7: Optimization Problems
    • 3.8: Newton's Method
    • 3.9: Antiderivatives
    • 3: Concept Check
    • 3: True-False Quiz
    • 3: Review Exercises
    • 3: Problems Plus
    • 3: Extra Problems
    • 3: Just-in-Time Questions

  • Chapter 4: Integrals
    • 4.1: The Area and Distance Problems
    • 4.2: The Definite Integral
    • 4.3: The Fundamental Theorem of Calculus
    • 4.4: Indefinite Integrals and the Net Change Theorem
    • 4.5: The Substitution Rule
    • 4: Concept Check
    • 4: True-False Quiz
    • 4: Review Exercises
    • 4: Problems Plus
    • 4: Extra Problems
    • 4: Just-in-Time Questions

  • Chapter 5: Applications of Integration
    • 5.1: Areas Between Curves
    • 5.2: Volumes
    • 5.3: Volumes by Cylindrical Shells
    • 5.4: Work
    • 5.5: Average Value of a Function
    • 5: Concept Check
    • 5: True-False Quiz
    • 5: Review Exercises
    • 5: Problems Plus
    • 5: Extra Problems
    • 5: Just-in-Time Questions

  • 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
    • 6.6: Inverse Trigonometric Functions
    • 6.7: Hyperbolic Functions
    • 6.8: Indeterminate Forms and l'Hospital's Rule
    • 6: Concept Check
    • 6: True-False Quiz
    • 6: Review Exercises
    • 6: Problems Plus
    • 6: Extra Problems
    • 6: Just-in-Time Questions

  • 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 Technology
    • 7.7: Approximate Integration
    • 7.8: Improper Integrals
    • 7: Concept Check
    • 7: True-False Quiz
    • 7: Review Exercises
    • 7: Problems Plus
    • 7: Extra Problems
    • 7: Just-in-Time Questions

  • Chapter 8: Further Applications of Integration
    • 8.1: Arc Length
    • 8.2: Area of a Surface of Revolution
    • 8.3: Applications to Physics and Engineering
    • 8.4: Applications to Economics and Biology
    • 8.5: Probability
    • 8: Concept Check
    • 8: True-False Quiz
    • 8: Review Exercises
    • 8: Problems Plus
    • 8: Extra Problems
    • 8: Just-in-Time Questions

  • Chapter 9: Differential Equations
    • 9.1: Modeling with Differential Equations
    • 9.2: Direction Fields and Euler's Method
    • 9.3: Separable Equations
    • 9.4: Models for Population Growth
    • 9.5: Linear Equations
    • 9.6: Predator-Prey Systems
    • 9: Concept Check
    • 9: True-False Quiz
    • 9: Review Exercises
    • 9: Problems Plus
    • 9: Extra Problems
    • 9: Just-in-Time Questions

  • Chapter 10: Parametric Equations and Polar Coordinates
    • 10.1: Curves Defined by Parametric Equations
    • 10.2: Calculus with Parametric Curves
    • 10.3: Polar Coordinates
    • 10.4: Calculus in Polar Coordinates
    • 10.5: Conic Sections
    • 10.6: Conic Sections in Polar Coordinates
    • 10: Concept Check
    • 10: True-False Quiz
    • 10: Review Exercises
    • 10: Problems Plus
    • 10: Extra Problems
    • 10: Just-in-Time Questions

  • Chapter 11: Sequences, Series, and Power Series
    • 11.1: Sequences
    • 11.2: Series
    • 11.3: The Integral Test and Estimates of Sums
    • 11.4: The Comparison Tests
    • 11.5: Alternating Series and Absolute Convergence
    • 11.6: 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
    • 11.11: Applications of Taylor Polynomials
    • 11: Concept Check
    • 11: True-False Quiz
    • 11: Review Exercises
    • 11: Problems Plus
    • 11: Extra Problems
    • 11: Just-in-Time Questions

  • Chapter 12: Vectors and the Geometry of Space
    • 12.1: Three-Dimensional Coordinate Systems
    • 12.2: Vectors
    • 12.3: The Dot Product
    • 12.4: The Cross Product
    • 12.5: Equations of Lines and Planes
    • 12.6: Cylinders and Quadric Surfaces
    • 12: Concept Check
    • 12: True-False Quiz
    • 12: Review Exercises
    • 12: Problems Plus
    • 12: Extra Problems
    • 12: Just-in-Time Questions

  • Chapter 13: Vector Functions
    • 13.1: Vector Functions and Space Curves
    • 13.2: Derivatives and Integrals of Vector Functions
    • 13.3: Arc Length and Curvature
    • 13.4: Motion in Space: Velocity and Acceleration
    • 13: Concept Check
    • 13: True-False Quiz
    • 13: Review Exercises
    • 13: Problems Plus
    • 13: Extra Problems
    • 13: Just-in-Time Questions

  • Chapter 14: Partial Derivatives
    • 14.1: Functions of Several Variables
    • 14.2: Limits and Continuity
    • 14.3: Partial Derivatives
    • 14.4: Tangent Planes and Linear Approximation
    • 14.5: The Chain Rule
    • 14.6: Directional Derivatives and the Gradient Vector
    • 14.7: Maximum and Minimum Values
    • 14.8: Lagrange Multipliers
    • 14: Concept Check
    • 14: True-False Quiz
    • 14: Review Exercises
    • 14: Problems Plus
    • 14: Extra Problems
    • 14: Just-in-Time Questions

  • Chapter 15: Multiple Integrals
    • 15.1: Double Integrals over Rectangles
    • 15.2: Double Integrals over General Regions
    • 15.3: Double Integrals in Polar Coordinates
    • 15.4: Applications of Double Integrals
    • 15.5: Surface Area
    • 15.6: Triple Integrals
    • 15.7: Triple Integrals in Cylindrical Coordinates
    • 15.8: Triple Integrals in Spherical Coordinates
    • 15.9: Change of Variables in Multiple Integrals
    • 15: Concept Check
    • 15: True-False Quiz
    • 15: Review Exercises
    • 15: Problems Plus
    • 15: Extra Problems
    • 15: Just-in-Time Questions

  • Chapter 16: Vector Calculus
    • 16.1: Vector Fields
    • 16.2: Line Integrals
    • 16.3: The Fundamental Theorem for Line Integrals
    • 16.4: Green's Theorem
    • 16.5: Curl and Divergence
    • 16.6: Parametric Surfaces and Their Areas
    • 16.7: Surface Integrals
    • 16.8: Stokes' Theorem
    • 16.9: The Divergence Theorem
    • 16.10: Summary
    • 16: Concept Check
    • 16: True-False Quiz
    • 16: Review Exercises
    • 16: Problems Plus
    • 16: Extra Problems
    • 16: Just-in-Time Questions

  • Chapter A: Appendixes
    • A.A: Numbers, Inequalities, and Absolute Values
    • A.B: Coordinate Geometry and Lines
    • A.C: Graphs of Second-Degree Equations
    • A.D: Trigonometry
    • A.E: Sigma Notation
    • A.F: Proofs of Theorems
    • A.G: Answers to Odd-Numbered Exercises


Stewart Calculus sets the foundation for students in STEM by emphasizing problem solving and presenting concepts with unparalleled clarity and precision. Selected and mentored by James Stewart, Daniel Clegg and Saleem Watson continue his legacy.

Getting to Know the New Authors of Stewart Calculus

Hear from James Stewart's hand-picked successors, Professors Saleem Watson and Dan Clegg, as they explain their mentorship under Stewart—and how their collective experience ensures the quality of Stewart Calculus will live on.

Approaching the New Edition of Stewart Calculus

Professors Saleem Watson and Dan Clegg are ensuring that the accuracy and quality students and instructors expect continues to be maintained. Learn about their approach and the improvements they're making to the new edition.

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Group Quantity Questions
Chapter 1: Functions and Limits
1 0  
Chapter 2: Derivatives
2 0  
Chapter 3: Applications of Differentiation
3 0  
Chapter 4: Integrals
4 0  
Chapter 5: Applications of Integration
5 0  
Chapter 6: Inverse Functions
6 0  
Chapter 7: Techniques of Integration
7 0  
Chapter 8: Further Applications of Integration
8 0  
Chapter 9: Differential Equations
9 0  
Chapter 10: Parametric Equations and Polar Coordinates
10 0  
Chapter 11: Sequences, Series, and Power Series
11 0  
Chapter 12: Vectors and the Geometry of Space
12 0  
Chapter 13: Vector Functions
13 0  
Chapter 14: Partial Derivatives
14 0  
Chapter 15: Multiple Integrals
15 0  
Chapter 16: Vector Calculus
16 0  
 Chapter 17
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Total 0