book cover

Calculus, 9th Edition

Stewart | Clegg | Watson



  • Video: The Area Problem
  • Explore It: Area of a Circle as a Limit
  • Video: Definition of a Function
  • Video: Four Ways to Represent a Function
  • Video: Graphing a Piecewise Function
  • Video: Even and Odd Functions
  • Video: Find Domain, Range, Local Maxima and Minima, and Where the Function is Increasing and Decreasing from a Graph
  • Video: Find the Equation of a Line Given the Slope and y-Intercept
  • Video: Graph Basic Polynomial Functions
  • Explore It: Family of Functions
  • Video: Graphs of Sine and Cosine
  • Video: Vertical and Horizontal Shifts of a Graph
  • Video: Reflecting Graphs; Vertically Stretching and Shrinking; Horizontally Stretching and Shrinking
  • Video: Sums, Differences, Products, and Quotients
  • Video: Composition of Functions
  • Explore It: Secant Line and Tangent
  • Video: The Tangent and Velocity Problems
  • Explore It: Graphical Idea of a Limit
  • Video: The Limit of a Function
  • Animation: Figure 1.5.013.
  • Video: Calculating Limits Using the Limit Laws
  • Animation: Figure 1.6.007.
  • Animation: Figure 1.6.008.
  • Animation: Figure 1.7.006.
  • Animation: Figure 1.7.008.
  • Explore It: Epsilon-Delta Definition of a Limit
  • Explore It: Precise Definitions of Limits
  • Video: The Precise Definition of a Limit
  • Animation: Figure 1.7.010.
  • Animation: Figure 1.7.011.
  • Video: Continuity
  • Animation: Figure 1.8.002.
  • Explore It: Tangent Zoom
  • Explore It: Graphical Definition of Derivatrives - Rise/Run
  • Video: Derivatives and Rates of Change
  • Explore It: Slope-a-Scope
  • Animation: Figure 2.2.003.
  • Animation: Figure 2.2.008.
  • Animation: Figure 2.2.009.
  • Explore It: How Do Coefficients Affect Graphs?
  • Animation: Figure 2.3.005.
  • Video: Differentiation Formulas: General Power Functions
  • Explore It: Slope-a-Scope (Trigonometric)
  • Animation: Figure 2.4.002.
  • Video: Derivatives of Trigonometric Functions
  • Animation: Figure 2.4.005.
  • Video: Derivatives: The Chain Rule
  • Video: Implicit Differentiation
  • Animation: Figure 2.6.004.
  • Animation: Figure 2.6.005.
  • Animation: Figure 2.6.007.
  • Animation: Figure 2.7.003.
  • Explore It: The Dynamics of Linear Motion
  • Video: Rates of Change in the Natural and Social Sciences
  • Video: Related Rates
  • Animation: Figure 2.8.002.
  • Animation: Figure 2.8.003.
  • Animation: Figure 2.8.004.
  • Animation: Figure 2.9.001.
  • Video: Linear Approximations and Differentials
  • Animation: Figure 2.9.002.
  • Animation: Figure 2.9.005.
  • Animation: Figure 3.1.004.
  • Video: Derivatives: Maximum and Minimum Values
  • Animation: Figure 3.1.015.
  • Video: The Mean Value Theorem
  • Animation: Figure 3.2.003.
  • Animation: Figure 3.2.004.
  • Explore It: Mean Value Theorem for Derivatives
  • Animation: Figure 3.3.003.
  • Video: How Derivatives Affect the Shape of a Graph
  • Animation: Figure 3.3.005.
  • Animation: Figure 3.3.007a.
  • Animation: Figure 3.3.007b.
  • Animation: Figure 3.3.012.
  • Explore It: Using Derivatives to Sketch f
  • Animation: Figure 3.4.008.
  • Animation: Figure 3.4.009.
  • Animation: Figure 3.4.013.
  • Explore It: Precise Definitions of Limits
  • Animation: Figure 3.4.016.
  • Video: Summary of Curve Sketching
  • Animation: Figure 3.5.005.
  • Animation: Figure 3.5.006.
  • Animation: Figure 3.5.007.
  • Explore It: Family of Rational Functions
  • Video: Optimization Problems
  • Explore It: Analyzing Optimization Problems
  • Explore It: Newton's Method
  • Video: Newton’s Method
  • Animation: Figure 3.8.005.
  • Animation: Figure 3.9.003.
  • Video: Antiderivatives
  • Animation: Figure 4.1.006a.
  • Animation: Figure 4.1.006b.
  • Explore It: Area Under a Parabola
  • Animation: Figure 4.1.013.
  • Video: Areas and Distances
  • Explore It: Estimating Areas Under Curves
  • Explore It: Integral with Riemann Sums
  • Video: The Definite Integral
  • Video: The Fundamental Theorem of Calculus
  • Explore It: The Fundamental Theorem of Caclulus - Part 1
  • Animation: Figure 4.3.006.
  • Explore It: Fundamental Theorem of Calculus
  • Explore It: The Fundamental Theorem of Caclulus - Part 2
  • Video: The Net Change Theorem
  • Video: The Substitution Rule
  • Explore It: Integrals of Symmetric Functions
  • Video: Areas Between Curves
  • Animation: Figure 6.1.002.
  • Explore It: The Area between Two Curves
  • Animation: Figure 5.1.006.
  • Animation: Figure 5.1.009.
  • Animation: Figure 5.1.012.
  • Animation: Figure 5.1.013.
  • Explore It: Approximating the Volume of a Sphere with Disks
  • Animation: Figure 5.2.006a.
  • Animation: Figure 5.2.006b.
  • Explore It: The Volumne of a Solid of Revolution - Disk Method
  • Animation: Figure 5.2.007a.
  • Animation: Figure 5.2.007b.
  • Video: Volumes
  • Animation: Figure 5.2.008b.
  • Explore It: Volumes of Revolution
  • Explore It: The Volumne of a Solid of Revolution - Washer Method
  • Animation: Figure 5.2.009.
  • Explore It: A Solid with Triangular Slices
  • Video: Volumes by Cylindrical Shells
  • Animation: Figure 5.3.008.
  • Animation: Figure 5.3.009.
  • Video: Work
  • Video: Average Value of a Function
  • Video: Determine Whether a Function is One-to-One
  • Video: The Inverse Function
  • Video: Graphing the Inverse of a Function
  • Explore It: Exponential Functions
  • Animation: Figure 6.2.015b.
  • Video: Laws of Logarithms
  • Video: Change of Base Formula
  • Video: Graphs of Logarithmic Functions
  • Video: The Power Rule versus the Exponential Rule
  • Video: The Inverse Sine Function; The Inverse Cosine Function; The Inverse Secant, Cosecant, and Cotangent Functions
  • Video: Indeterminate Forms and l’Hospital’s Rule
  • Video: The Natural Exponential Function I
  • Video: Evaluate Exponential Functions
  • Video: Graphs of Exponential Functions
  • Video: Logarithmic Functions I
  • Video: Integration by Parts
  • Video: Trigonometric Integrals
  • Video: Trigonometric Substitution
  • Video: Integration of Rational Functions by Partial Fractions
  • Video: Strategy for Integration
  • Video: Approximate Integration
  • Animation: Figure 7.7.008.
  • Video: Improper Integrals - Type 1: Infinite Intervals
  • Explore It: Improper Integrals
  • Explore It: Circumference as Limit of Polygons
  • Video: Arc Length
  • Animation: Figure 8.2.004a.
  • Animation: Figure 8.2.004b.
  • Video: Area of a Surface of Revolution
  • Animation: Figure 8.2.006.
  • Animation: Figure 8.2.007.
  • Video: Probability
  • Video: Modeling with Differential Equations
  • Video: Direction Fields and Euler’s Method
  • Animation: Figure 9.2.003.
  • Animation: Figure 9.2.004.
  • Explore It: Direction Fields and Solution Curves
  • Animation: Figure 9.2.005.
  • Animation: Figure 9.2.006.
  • Animation: Figure 9.2.007.
  • Explore It: Euler's Method
  • Video: Separable Equations
  • Animation: Figure 9.3.009.
  • Video: Models for Population Growth
  • Video: Linear Equations
  • Explore It: Predator Prey
  • Animation: Figure 10.1.002.
  • Explore It: Parametric Curves
  • Video: Using Graphing Devices to Graph Parametric Curves
  • Animation: Figure 10.1.012.
  • Animation: Figure 10.1.014.
  • Animation: Figure 10.1.016.
  • Explore It: Families of Cycloids
  • Video: Calculus with Parametric Curves
  • Animation: Figure 10.2.001.
  • Animation: Figure 10.3.003a.
  • Animation: Figure 10.3.003b.
  • Animation: Figure 10.3.003c.
  • Animation: Figure 10.3.003d.
  • Video: Relationships Between Polar and Rectangular Coordinates
  • Animation: Figure 10.3.008.
  • Animation: Figure 10.3.011.
  • Animation: Figure 10.3.013.
  • Explore It: Polar Curves
  • Animation: Figure 10.3.015.
  • Animation: Figure 10.3.017.
  • Video: Areas in Polar Coordinates
  • Animation: Figure 10.4.004.
  • Animation: Figure 10.4.005.
  • Animation: Figure 10.4.008.
  • Explore It: Conic Sections
  • Video: Equations and Graphs of Parabolas
  • Animation: Figure 10.5.005.
  • Video: Equations and Graphs of Ellipses
  • Animation: Figure 10.5.010.
  • Video: Equations and Graphs of Hyperbolas
  • Animation: Figure 10.5.014.
  • Animation: Figure 10.5.015.
  • Video: Conic Sections in Polar Coordinates
  • Animation: Figure 10.6.001.
  • Animation: Figure 10.6.003.
  • Animation: Figure 10.6.005.
  • Video: Sequences
  • Video: Geometric Series
  • Explore It: An Unusual Series and Its Sums
  • Video: The Integral Test
  • Video: The Comparison Test
  • Video: The Alternating Series Test
  • Explore It: The Alternating Series Test
  • Video: Absolute Convergence
  • Video: Strategy for Testing Series
  • Video: Power Series
  • Video: Representations of Functions as Power Series
  • Video: Taylor and Maclaurin Series
  • Explore It: Taylor and MacLaurin Series Convergence
  • Video: Applications of Taylor Polynomials
  • Video: The Three-Dimensional Rectangular Coordinate System
  • Video: Geometric Description of Vectors
  • Explore It: Adding Vectors
  • Video: Combining Vectors in Space
  • Explore It: The Dot Product of Two Vectors
  • Explore It: Vector Projections
  • Video: The Dot Product: Work
  • Video: Properties of Cross Product
  • Explore It: The Cross Product
  • Video: Equations of Lines in Space
  • Animation: Figure 12.5.003.
  • Animation: Figure 12.5.006.
  • Animation: Figure 12.5.007.
  • Video: Cylinders
  • Animation: Figure 12.6.001.
  • Animation: Figure 12.6.002.
  • Animation: Figure 12.6.003.
  • Animation: Figure 12.6.004.
  • Animation: Figure 12.6.005.
  • Explore It: Traces of a Surface
  • Explore It: Quadric Surfaces
  • Video: Vector Functions and Space Curves
  • Explore It: Vector-Valued Functions and Space Curves
  • Animation: Figure 13.1.002.
  • Animation: Figure 13.1.004.
  • Animation: Figure 13.1.006.
  • Explore It: The Twisted Cubic Curve
  • Explore It: Visualizing Space Curves as the Intersection of Surfaces
  • Video: Derivatives of Vector Functions
  • Explore It: Secant and Tangent Vectors
  • Video: Arc Length of a Space Curve
  • Explore It: The Unit Tangent Vector
  • Explore It: The TNB Frame
  • Explore It: Osculating Circle
  • Explore It: Velocity and Acceleration Vectors
  • Video: Motion in Space: Velocity and Acceleration - Projectile Motion
  • Video: Functions of Two Variables
  • Explore It: Animated Level Curves
  • Explore It: Level Curves of a Surface
  • Video: Limits of Functions of Two Variables
  • Explore It: Limit That Does Not Exist
  • Video: Partial Derivatives
  • Animation: Figure 14.3.002.
  • Animation: Figure 14.3.003.
  • Video: Tangent Planes
  • Explore It: The Tangent Plane of a Surface
  • Video: Partial Derivatives: The Chain Rule
  • Explore It: Directional Derivatives of a Surface in the First Octant
  • Explore It: Directional Derivatives
  • Explore It: Maximizing Directional Derivatives
  • Video: Partial Derivatives: Maximum and Minimum Values
  • Explore It: Families of Surfaces
  • Explore It: Critical Points from Contour Maps
  • Explore It: Lagrange Multipliers
  • Video: Double Integrals over Rectangles - Volume and Iterated Integrals
  • Animation: Figure 15.1.004.
  • Animation: Figure 15.1.009.
  • Explore It: Fubini's Theorem
  • Video: Double Integrals over General Regions
  • Animation: Figure 15.2.008.
  • Animation: Figure 15.2.009.
  • Animation: Figure 15.2.010.
  • Animation: Figure 15.2.012a.
  • Animation: Figure 15.2.012b.
  • Animation: Figure 15.2.015.
  • Animation: Figure 15.2.016.
  • Video: Double Integrals in Polar Coordinates
  • Animation: Figure 15.3.007.
  • Animation: Figure 15.3.009.
  • Video: Applications of Double Integrals - Probability
  • Video: Surface Area
  • Video: Triple Integrals
  • Animation: Figure 15.6.010.
  • Animation: Figure 15.6.011.
  • Animation: Figure 15.6.013.
  • Explore It: Regions of Triple Integrals
  • Video: Triple Integrals in Cylindrical Coordinates
  • Video: Triple Integrals in Spherical Coordinates
  • Explore It: Cylindrical and Spherical Coordinates
  • Explore It: Surfaces in Cylindrical and Spherical Coordinates
  • Explore It: A Region in Spherical Coordinates
  • Video: Vector Fields
  • Explore It: Vector Fields
  • Explore It: Line Integrals
  • Animation: Figure 16.2.009.
  • Video: Line Integrals of Vector Fields
  • Video: The Fundamental Theorem of Line Integrals
  • Explore It: FTC for Line Integrals
  • Video: Green’s Theorem
  • Explore It: Green's Theorem
  • Video: Curl
  • Video: Parametric Surfaces
  • Explore It: Grid Curves on Parametric Surfaces
  • Explore It: Families of Parametric Surfaces
  • Video: Surface Integrals
  • Explore It: A Nonorientable Surface
  • Video: Stokes’ Theorem
  • Video: The Divergence Theorem
  • Video: Second-Order Linear Equations
  • Video: Nonhomogeneous Linear Equations: The Method of Undetermined Coefficients
  • Video: Applications of Second-Order Differential Equations: Vibrating Spring