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In This Site Connect2Calculus Video Series Chapter Preliminaries Connect2Calculus Videos Ch. 0 Interactive Applets Ch. 0 Section 1 Polynomials and Rational Functions eProfessor Ch. 0 Sec. 1 Finding the Domain of a Function (App) Section 2 Graphing Calculators and Computer Algebra Systems eProfessor Ch. 0 Sec. 2 Finding the Better Graph View (App) Section 3 Inverse Functions eProfessor Ch. 0 Sec. 3 Graphing a Function and Its Inverse (App) Section 4 Trigonometric and Inverse Trigonometric Functions Altering Amplitude and Period (App) eProfessor Ch. 0 Sec. 4 Section 5 Exponential and Logarithmic Functions eProfessor Ch. 0 Sec. 5 Graphs of Exponentials (App) Graphs of Logarithms (App) Section 6 Transformations of Functions Comparing Related Graphs (App) eProfessor Ch. 0 Sec. 6 Translating a Graph (App) Chapter 1 Limits and Continuity Connect2Calculus Videos Ch. 1 Interactive Applets Ch. 1 Section 1 A Brief Preview of Calculus: Tangent Lines and the Length of a Curve Approximating the Curve with Two Line Segments (App) eProfessor Ch. 1 Sec. 1 Slope of the Secant Line (App) Section 2 The Concept of Limit A Limit for Which Approximate Answers May be Deceptive (App) A Limit That Does Not Exist (App) Connect2Calculus Videos Ch. 1 Sec. 2 eProfessor Ch. 1 Sec. 2 Section 3 Computation of Limits eProfessor Ch. 1 Sec. 3 Using the Squeeze Theorem to Verify the Value of a Limit (App) Section 4 Continuity and its Consequences An Illustration of the Intermediate Value Theorem (App) Connect2Calculus Videos Ch. 1 Sec. 4 eProfessor Ch. 1 Sec. 4 Intermediate Value Theorem (App) Section 5 Limits Involving Infinity; Asymptotes A Case Where Infinite One-Sided Limits Disagree (App) eProfessor Ch. 1 Sec. 5 Finding Horizontal Asymptotes (App) Section 6 Formal Definition of the Limit Connect2Calculus Videos Ch. 1 Sec. 6 eProfessor Ch. 1 Sec. 6 Formal Definition of a Limit (App) Formal Definition of the Limit Using a Polynomial (App) Section 7 Limits and Loss-of-Significance Errors Avoiding a Loss of Significance Error (App) eProfessor Ch. 1 Sec. 7 Loss-of-Significance Involving a Trigonometric Function (App) Chapter 2 Differentiation Connect2Calculus Videos Ch. 2 Interactive Applets Ch. 2 Section 1 Tangent Lines and Velocity A Secant Line Between Two Points and a Tangent Line at a Point (App) Connect2Calculus Videos Ch. 2 Sec. 1 eProfessor Ch. 2 Sec. 1 Finding the Equation of a Tangent Line (App) Section 2 The Derivative A Function That is Not Differentiable at a Point (App) Connect2Calculus Videos Ch. 2 Sec. 2 eProfessor Ch. 2 Sec. 2 Slope of a Tangent Line (App) Section 3 Computation of Derivatives: The Power Rule Connect2Calculus Videos Ch. 2 Sec. 3 eProfessor Ch. 2 Sec. 3 The Power Rule and the Tangent Line (App) Section 4 The Product and Quotient Rules Connect2Calculus Videos Ch. 2 Sec. 4 eProfessor Ch. 2 Sec. 4 Finding the Equation of the Tangent Line (App) Product and Quotient Rules (App) Section 5 The Chain Rule Connect2Calculus Videos Ch. 2 Sec. 5 eProfessor Ch. 2 Sec. 5 Section 6 Derivatives of Trigonometric Functions Connect2Calculus Videos Ch. 2 Sec. 6 eProfessor Ch. 2 Sec. 6 Finding the Velocity of a Hanging Weight (App) The Derivative of Sine and Cosine (App) Section 7 Derivatives of Exponential and Logarithmic Functions Concentration of a Chemical (App) Connect2Calculus Videos Ch. 2 Sec. 7 Derivatives of Exponential Functions (App) eProfessor Ch. 2 Sec. 7 Finding the Velocity of a Hanging Weight (App) Section 8 Implicit Differentiation and Inverse Trigonometric Functions Connect2Calculus Videos Ch. 2 Sec. 8 eProfessor Ch. 2 Sec. 8 Finding a Slope Implicitly (App) Section 9 The Hyperbolic Functions eProfessor Ch. 2 Sec. 9 Section 10 The Mean Value Theorem An Illustration of the Mean Value Theorem (App) Connect2Calculus Videos Ch. 2 Sec. 10 Rolle's Theorem (App) Chapter 3 Applications of Differentiation Connect2Calculus Videos Ch. 3 Interactive Applets Ch. 3 Section 1 Linear Approximations and Newton's Method Connect2Calculus Videos Ch. 3 Sec. 1 eProfessor Ch. 3 Sec. 1 Increments and Differentials (App) Newton's Method (App) Section 2 Indeterminate Forms and L'Hopital's Rule Connect2Calculus Videos Ch. 3 Sec. 2 eProfessor Ch. 3 Sec. 2 L'Hopital's Rule (App) Section 3 Maximum and Minimum Values Connect2Calculus Videos Ch. 3 Sec. 3 eProfessor Ch. 3 Sec. 3 Finding Absolute Extrema on a Closed Interval (App) Finding Local Extrema of a Polynomial (App) Section 4 Increasing and Decreasing Functions An Increasing and Decreasing Function (App) Connect2Calculus Videos Ch. 3 Sec. 4 eProfessor Ch. 3 Sec. 4 Local Extrema and Fractional Exponents (App) Section 5 Concavity and the Second Derivative Test Concave Up and Concave Down (App) Connect2Calculus Videos Ch. 3 Sec. 5 Determining Concavity and Locating Inflection Points (App) eProfessor Ch. 3 Sec. 5 Section 6 Overview of Curve Sketching Connect2Calculus Videos Ch. 3 Sec. 6 eProfessor Ch. 3 Sec. 6 Graphing a Polynomial (App) Graphing a Rational Function (App) Section 7 Optimization Connect2Calculus Videos Ch. 3 Sec. 7 eProfessor Ch. 3 Sec. 7 Finding the Maximum (App) Maximum Area (App) Section 8 Related Rates Connect2Calculus Videos Ch. 3 Sec. 8 eProfessor Ch. 3 Sec. 8 Related Rates - Tracking a Fast Jet (App) Section 9 Rates of Change in Economics and the Sciences A Simple Electric Circuit (App) Connect2Calculus Videos Ch. 3 Sec. 9 eProfessor Ch. 3 Sec. 9 Chapter 4 Integration Connect2Calculus Videos Ch. 4 Interactive Applets Ch. 4 Section 1 Antiderivatives eProfessor Ch. 4 Sec. 1 Finding the Position of a Falling Object Given Its Acceleration (App) Section 2 Sums and Sigma Notation Connect2Calculus Videos Ch. 4 Sec. 2 eProfessor Ch. 4 Sec. 2 Nonconstant velocity (App) Section 3 Area Approximating an Area with Rectangles (App) Connect2Calculus Videos Ch. 4 Sec. 3 eProfessor Ch. 4 Sec. 3 Riemann Sum (App) Section 4 The Definite Integral A Riemann Sum for a Function with Pos and Neg Values (App) Connect2Calculus Videos Ch. 4 Sec. 4 eProfessor Ch. 4 Sec. 4 Estimating Overall Change in Position (App) Section 5 The Fundamental Theorem of Calculus A Definite Integral with a Variable Upper Limit (App) Connect2Calculus Videos Ch. 4 Sec. 5 eProfessor Ch. 4 Sec. 5 Section 6 Integration by Substitution eProfessor Ch. 4 Sec. 6 Integration by Substitution (App) Section 7 Numerical Integration eProfessor Ch. 4 Sec. 7 Midpoint Rule (App) The (n + 1)-point Trapezoidal Rule (App) Section 8 The Natural Logarithm as an Integral eProfessor Ch. 4 Sec. 8 Natural Logarithm (App) Chapter 5 Applications of the Definite Integral Connect2Calculus Videos Ch. 5 Interactive Applets Ch. 5 Section 1 Area Between Curves An Area Computed by Integrating with Respect to y (App) Connect2Calculus Videos Ch. 5 Sec. 1 eProfessor Ch. 5 Sec. 1 Finding the Area Between Two Curves (App) Section 2 Volume: Slicing, Disks, and Washers Connect2Calculus Videos Ch. 5 Sec. 2 eProfessor Ch. 5 Sec. 2 The Solid of Revolution Revolving about y (App) Using the Method of Disks to Compute Volume (App) Section 3 Volumes by Cylindrical Shells Connect2Calculus Videos Ch. 5 Sec. 3 eProfessor Ch. 5 Sec. 3 Revolving a Region Bounded by y = 0 and a Parabola (App) Solid of Revolution by Cylindrical Shells (App) Section 4 Arc Length and Surface Area Connect2Calculus Videos Ch. 5 Sec. 4 eProfessor Ch. 5 Sec. 4 Graphs Similar Over an Interval (App) Surface of Revolution (App) Section 5 Projectile Motion eProfessor Ch. 5 Sec. 5 Height of the Ball at Time t (App) The Motion of a Tennis Serve (App) Section 6 Applications of Integration to Physics and Engineering Computing the Work Done Stretching a Spring (App) Connect2Calculus Videos Ch. 5 Sec. 6 eProfessor Ch. 5 Sec. 6 Section 7 Probability A Normal Distribution Curve (App) eProfessor Ch. 5 Sec. 7 Chapter 6 Integration Techniques Connect2Calculus Videos Ch. 6 Interactive Applets Ch. 6 Section 1 Review of Formulas and Techniques eProfessor Ch. 6 Sec. 1 Integration Techniques - Review of Formulas (App) Section 2 Integration by Parts eProfessor Ch. 6 Sec. 2 Integration by Parts (App) Section 3 Trigonometric Techniques of Integration eProfessor Ch. 6 Sec. 3 Trigonometric Techniques of Integration (App) Section 4 Integration of Rational Functions Using Partial Fractions eProfessor Ch. 6 Sec. 4 Integration of Rational Functions Using Partial Fractions (App) Section 5 Integration Tables and Computer Algebra Systems eProfessor Ch. 6 Sec. 5 Integration Tables and Computer Algebra Systems (App) Section 6 Improper Integrals eProfessor Ch. 6 Sec. 6 The Comparison Test (App) Chapter 7 First Order Differential Equations Connect2Calculus Videos Ch. 7 Interactive Applets Ch. 7 Section 1 Modeling with Differential Equations Connect2Calculus Videos Ch. 7 Sec. 1 eProfessor Ch. 7 Sec. 1 Modeling with Differential Equations (App) Section 2 Separable Differential Equations Connect2Calculus Videos Ch. 7 Sec. 2 eProfessor Ch. 7 Sec. 2 IVP with Implicit Solution (App) Section 3 Direction Fields and Euler's Method Connect2Calculus Videos Ch. 7 Sec. 3 Direction Fields and Euler's Method (App) eProfessor Ch. 7 Sec. 3 Section 4 Systems of First Order Differential Equations eProfessor Ch. 7 Sec. 4 Systems of First Order Differentiable Equations (App) Chapter 8 Infinite Series Connect2Calculus Videos Ch. 8 Interactive Applets Ch. 8 Section 1 Sequences of Real Numbers Connect2Calculus Videos Ch. 8 Sec. 1 eProfessor Ch. 8 Sec. 1 Finding the Limit of a Sequence (App) Section 2 Infinite Series Connect2Calculus Videos Ch. 8 Sec. 2 eProfessor Ch. 8 Sec. 2 Geometric Series (App) Section 3 The Integral Test and Comparison Tests eProfessor Ch. 8 Sec. 3 Using the Integral Test (App) Section 4 Alternating Series Convergence of the Partial Sums of an Alternating Series (App) eProfessor Ch. 8 Sec. 4 Section 5 Absolute Convergence and the Ratio Test eProfessor Ch. 8 Sec. 5 Using the Ratio Test (App) Section 6 Power Series eProfessor Ch. 8 Sec. 6 Half-Open Interval of Convergence (App) Section 7 Taylor Series A Taylor Series Expansion of sin x (App) Connect2Calculus Videos Ch. 8 Sec. 7 eProfessor Ch. 8 Sec. 7 Graphing Taylor Polynomials (App) Section 8 Applications of Taylor Series eProfessor Ch. 8 Sec. 8 Using Taylor Series to Approximate a Definite Integral (App) Section 9 Fourier Series eProfessor Ch. 8 Sec. 9 Fourier Series (App) Chapter 9 Parametric Equations and Polar Coordinates Connect2Calculus Videos Ch. 9 Interactive Applets Ch. 9 Section 1 Plane Curves and Parametric Equations Connect2Calculus Videos Ch. 9 Sec. 1 eProfessor Ch. 9 Sec. 1 The Path of a Projectile (App) Section 2 Calculus and Parametric Equations Connect2Calculus Videos Ch. 9 Sec. 2 eProfessor Ch. 9 Sec. 2 The Path of the Scrambler (App) Section 3 Arc Length and Surface Area in Parametric Equations Connect2Calculus Videos Ch. 9 Sec. 3 eProfessor Ch. 9 Sec. 3 Skiing Curved Path vs Straight Line (App) Section 4 Polar Coordinates Connect2Calculus Videos Ch. 9 Sec. 4 Converting an Equation from Rectangular to Polar Coordinates (App) eProfessor Ch. 9 Sec. 4 Section 5 Calculus and Polar Coordinates Connect2Calculus Videos Ch. 9 Sec. 5 eProfessor Ch. 9 Sec. 5 Finding the Area Between Two Polar Graphs (App) Section 6 Conic Sections eProfessor Ch. 9 Sec. 6 Identifying the Features of an Ellipse (App) Section 7 Conic Sections in Polar Coordinates eProfessor Ch. 9 Sec. 7 Focus and Directrix (App) Chapter 10 Vectors and the Geometry of Space Connect2Calculus Videos Ch. 10 Interactive Applets Ch. 10 Section 1 Vectors in the Plane Connect2Calculus Videos Ch. 10 Sec. 1 eProfessor Ch. 10 Sec. 1 Finding a Position Vector (App) Section 2 Vectors in Space eProfessor Ch. 10 Sec. 2 Vectors in Space (App) Section 3 The Dot Product Calculating Work (App) Connect2Calculus Videos Ch. 10 Sec. 3 eProfessor Ch. 10 Sec. 3 Section 4 The Cross Product Connect2Calculus Videos Ch. 10 Sec. 4 eProfessor Ch. 10 Sec. 4 Finding the Distance from a Point to a Line (App) Section 5 Lines and Planes in Space eProfessor Ch. 10 Sec. 5 Equation of a Plane (App) Section 6 Surfaces in Space eProfessor Ch. 10 Sec. 6 Sketching an Elliptic Cone (App) Sketching a Paraboloid (App) Chapter 11 Vector-Valued Functions Connect2Calculus Videos Ch. 11 Interactive Applets Ch. 11 Section 1 Vector-Valued Functions Connect2Calculus Videos Ch. 11 Sec. 1 eProfessor Ch. 11 Sec. 1 Sketching the Curve Defined by a Vector-Valued Function (App) Section 2 The Calculus of Vector-Valued Functions eProfessor Ch. 11 Sec. 2 The Calculus of Vector-Valued Functions (App) Section 3 Motion in Space Connect2Calculus Videos Ch. 11 Sec. 3 eProfessor Ch. 11 Sec. 3 Finding the Velocity and Acceleration Vectors (App) Section 4 Curvature Connect2Calculus Videos Ch. 11 Sec. 4 eProfessor Ch. 11 Sec. 4 Finding a Unit Tangent Vector (App) Section 5 Tangent and Normal Vectors eProfessor Ch. 11 Sec. 5 Tangent and Normal Vectors (App) Section 6 Parametric Surfaces eProfessor Ch. 11 Sec. 6 Parametric Surfaces (App) Chapter 12 Functions of Several Variables and Differentiation Connect2Calculus Videos Ch. 12 Interactive Applets Ch. 12 Section 1 Functions of Several Variables eProfessor Ch. 12 Sec. 1 Sketching Contour Plots (App) Section 2 Limits and Continuity eProfessor Ch. 12 Sec. 2 The Definition of a Limit (App) Section 3 Partial Derivatives eProfessor Ch. 12 Sec. 3 Partial Derivatives (App) Section 4 Tangent Planes and Linear Approximations Connect2Calculus Videos Ch. 12 Sec. 4 eProfessor Ch. 12 Sec. 4 Tangent Planes and Linear Approximations (App) Section 5 The Chain Rule Connect2Calculus Videos Ch. 12 Sec. 5 eProfessor Ch. 12 Sec. 5 The Chain Rule (App) Section 6 The Gradient and Directional Derivatives Connect2Calculus Videos Ch. 12 Sec. 6 eProfessor Ch. 12 Sec. 6 Finding the Direction of Maximum Increase (App) Section 7 Extrema of Functions of Several Variables Connect2Calculus Videos Ch. 12 Sec. 7 eProfessor Ch. 12 Sec. 7 Extrema and Functions of Several Variables (App) Section 8 Constrained Optimization and Lagrange Multipliers Connect2Calculus Videos Ch. 12 Sec. 8 eProfessor Ch. 12 Sec. 8 Finding the Minimum Distance (App) Chapter 13 Multiple Integrals Connect2Calculus Videos Ch. 13 Interactive Applets Ch. 13 Section 1 Double Integrals Approximate Limits of Integration (App) eProfessor Ch. 13 Sec. 1 Section 2 Area, Volume, and Center of Mass Area, Volume and Center of Mass (App) Connect2Calculus Videos Ch. 13 Sec. 2 eProfessor Ch. 13 Sec. 2 Section 3 Double Integrals in Polar Coordinates Double Integrals in Polar Coordinates (App) eProfessor Ch. 13 Sec. 3 Section 4 Surface Area eProfessor Ch. 13 Sec. 4 Surface Area (App) Section 5 Triple Integrals Connect2Calculus Videos Ch. 13 Sec. 5 eProfessor Ch. 13 Sec. 5 Triple Integrals (App) Section 6 Cylindrical Coordinates Cylindrical Coordinates (App) eProfessor Ch. 13 Sec. 6 Section 7 Spherical Coordinates eProfessor Ch. 13 Sec. 7 Spherical Coordinates (App) Section 8 Change of Variables in Multiple Integrals Change of Variables in Multiple Integrals (App) Connect2Calculus Videos Ch. 13 Sec. 8 eProfessor Ch. 13 Sec. 8 Chapter 14 Vector Calculus Connect2Calculus Videos Ch. 14 Interactive Applets Ch. 14 Section 1 Vector Fields Connect2Calculus Videos Ch. 14 Sec. 1 eProfessor Ch. 14 Sec. 1 Vector Fields (App) Section 2 Line Integrals Connect2Calculus Videos Ch. 14 Sec. 2 eProfessor Ch. 14 Sec. 2 Line Integrals (App) Section 3 Independence of Path and Conservative Vector Fields Connect2Calculus Videos Ch. 14 Sec. 3 eProfessor Ch. 14 Sec. 3 Independence of Path and Conservative Vector Fields (App) Section 4 Green's Theorem Connect2Calculus Videos Ch. 14 Sec. 4 eProfessor Ch. 14 Sec. 4 Green's Theorem (App) Section 5 Curl and Divergence Connect2Calculus Videos Ch. 14 Sec. 5 Curl and Divergence (App) eProfessor Ch. 14 Sec. 5 Section 6 Surface Integrals Connect2Calculus Videos Ch. 14 Sec. 6 eProfessor Ch. 14 Sec. 6 Surface Integrals (App) Section 7 The Divergence Theorem Connect2Calculus Videos Ch. 14 Sec. 7 eProfessor Ch. 14 Sec. 7 The Divergence Theorem (App) Section 8 Stokes' Theorem Connect2Calculus Videos Ch. 14 Sec. 8 eProfessor Ch. 14 Sec. 8 Stokes' Theorem (App) Section 9 Applications of Vector Calculus Applications of Vector Calculus (App) eProfessor Ch. 14 Sec. 9 Chapter 15 Second Order Differential Equations Connect2Calculus Videos Ch. 15 Interactive Applets Ch. 15 Section 1 Second-Order Equations with Constant Coefficients eProfessor Ch. 15 Sec. 1 Second Order Differential Equations (App) Section 2 Nonhomogeneous Equations: Undetermined Coefficients eProfessor Ch. 15 Sec. 2 Nonhomogeneous Equations: Undetermined Coefficients (App) Section 3 Applications of Second Order Equations Applications of Second Order Equations (App) eProfessor Ch. 15 Sec. 3 Section 4 Power Series Solutions of Differential Equations eProfessor Ch. 15 Sec. 4 Power Series Solution to a Differential Equation (App)

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In This Site Computerized Testing Connect2Calculus Video Series Figures and Formulas Instructor's Solutions Manual Lecture PowerPoint Maple Insights Mathematica Insights Preformatted Tests - Midterm/Final TI Calculator Insights Using Derive Chapter Preliminaries Connect2Calculus Videos Ch. 0 Interactive Applets Ch. 0 Section 1 Polynomials and Rational Functions eProfessor Ch. 0 Sec. 1 Finding the Domain of a Function (App) Section 2 Graphing Calculators and Computer Algebra Systems eProfessor Ch. 0 Sec. 2 Finding the Better Graph View (App) Section 3 Inverse Functions eProfessor Ch. 0 Sec. 3 Graphing a Function and Its Inverse (App) Section 4 Trigonometric and Inverse Trigonometric Functions Altering Amplitude and Period (App) eProfessor Ch. 0 Sec. 4 Section 5 Exponential and Logarithmic Functions eProfessor Ch. 0 Sec. 5 Graphs of Exponentials (App) Graphs of Logarithms (App) Section 6 Transformations of Functions Comparing Related Graphs (App) eProfessor Ch. 0 Sec. 6 Translating a Graph (App) Chapter 1 Limits and Continuity Connect2Calculus Videos Ch. 1 Interactive Applets Ch. 1 Section 1 A Brief Preview of Calculus: Tangent Lines and the Length of a Curve Approximating the Curve with Two Line Segments (App) eProfessor Ch. 1 Sec. 1 Slope of the Secant Line (App) Section 2 The Concept of Limit A Limit for Which Approximate Answers May be Deceptive (App) A Limit That Does Not Exist (App) Connect2Calculus Videos Ch. 1 Sec. 2 eProfessor Ch. 1 Sec. 2 Section 3 Computation of Limits eProfessor Ch. 1 Sec. 3 Using the Squeeze Theorem to Verify the Value of a Limit (App) Section 4 Continuity and its Consequences An Illustration of the Intermediate Value Theorem (App) Connect2Calculus Videos Ch. 1 Sec. 4 eProfessor Ch. 1 Sec. 4 Intermediate Value Theorem (App) Section 5 Limits Involving Infinity; Asymptotes A Case Where Infinite One-Sided Limits Disagree (App) eProfessor Ch. 1 Sec. 5 Finding Horizontal Asymptotes (App) Section 6 Formal Definition of the Limit Connect2Calculus Videos Ch. 1 Sec. 6 eProfessor Ch. 1 Sec. 6 Formal Definition of a Limit (App) Formal Definition of the Limit Using a Polynomial (App) Section 7 Limits and Loss-of-Significance Errors Avoiding a Loss of Significance Error (App) eProfessor Ch. 1 Sec. 7 Loss-of-Significance Involving a Trigonometric Function (App) Chapter 2 Differentiation Connect2Calculus Videos Ch. 2 Interactive Applets Ch. 2 Section 1 Tangent Lines and Velocity A Secant Line Between Two Points and a Tangent Line at a Point (App) Connect2Calculus Videos Ch. 2 Sec. 1 eProfessor Ch. 2 Sec. 1 Finding the Equation of a Tangent Line (App) Section 2 The Derivative A Function That is Not Differentiable at a Point (App) Connect2Calculus Videos Ch. 2 Sec. 2 eProfessor Ch. 2 Sec. 2 Slope of a Tangent Line (App) Section 3 Computation of Derivatives: The Power Rule Connect2Calculus Videos Ch. 2 Sec. 3 eProfessor Ch. 2 Sec. 3 The Power Rule and the Tangent Line (App) Section 4 The Product and Quotient Rules Connect2Calculus Videos Ch. 2 Sec. 4 eProfessor Ch. 2 Sec. 4 Finding the Equation of the Tangent Line (App) Product and Quotient Rules (App) Section 5 The Chain Rule Connect2Calculus Videos Ch. 2 Sec. 5 eProfessor Ch. 2 Sec. 5 Section 6 Derivatives of Trigonometric Functions Connect2Calculus Videos Ch. 2 Sec. 6 eProfessor Ch. 2 Sec. 6 Finding the Velocity of a Hanging Weight (App) The Derivative of Sine and Cosine (App) Section 7 Derivatives of Exponential and Logarithmic Functions Concentration of a Chemical (App) Connect2Calculus Videos Ch. 2 Sec. 7 Derivatives of Exponential Functions (App) eProfessor Ch. 2 Sec. 7 Finding the Velocity of a Hanging Weight (App) Section 8 Implicit Differentiation and Inverse Trigonometric Functions Connect2Calculus Videos Ch. 2 Sec. 8 eProfessor Ch. 2 Sec. 8 Finding a Slope Implicitly (App) Section 9 The Hyperbolic Functions eProfessor Ch. 2 Sec. 9 Section 10 The Mean Value Theorem An Illustration of the Mean Value Theorem (App) Connect2Calculus Videos Ch. 2 Sec. 10 Rolle's Theorem (App) Chapter 3 Applications of Differentiation Connect2Calculus Videos Ch. 3 Interactive Applets Ch. 3 Section 1 Linear Approximations and Newton's Method Connect2Calculus Videos Ch. 3 Sec. 1 eProfessor Ch. 3 Sec. 1 Increments and Differentials (App) Newton's Method (App) Section 2 Indeterminate Forms and L'Hopital's Rule Connect2Calculus Videos Ch. 3 Sec. 2 eProfessor Ch. 3 Sec. 2 L'Hopital's Rule (App) Section 3 Maximum and Minimum Values Connect2Calculus Videos Ch. 3 Sec. 3 eProfessor Ch. 3 Sec. 3 Finding Absolute Extrema on a Closed Interval (App) Finding Local Extrema of a Polynomial (App) Section 4 Increasing and Decreasing Functions An Increasing and Decreasing Function (App) Connect2Calculus Videos Ch. 3 Sec. 4 eProfessor Ch. 3 Sec. 4 Local Extrema and Fractional Exponents (App) Section 5 Concavity and the Second Derivative Test Concave Up and Concave Down (App) Connect2Calculus Videos Ch. 3 Sec. 5 Determining Concavity and Locating Inflection Points (App) eProfessor Ch. 3 Sec. 5 Section 6 Overview of Curve Sketching Connect2Calculus Videos Ch. 3 Sec. 6 eProfessor Ch. 3 Sec. 6 Graphing a Polynomial (App) Graphing a Rational Function (App) Section 7 Optimization Connect2Calculus Videos Ch. 3 Sec. 7 eProfessor Ch. 3 Sec. 7 Finding the Maximum (App) Maximum Area (App) Section 8 Related Rates Connect2Calculus Videos Ch. 3 Sec. 8 eProfessor Ch. 3 Sec. 8 Related Rates - Tracking a Fast Jet (App) Section 9 Rates of Change in Economics and the Sciences A Simple Electric Circuit (App) Connect2Calculus Videos Ch. 3 Sec. 9 eProfessor Ch. 3 Sec. 9 Chapter 4 Integration Connect2Calculus Videos Ch. 4 Interactive Applets Ch. 4 Section 1 Antiderivatives eProfessor Ch. 4 Sec. 1 Finding the Position of a Falling Object Given Its Acceleration (App) Section 2 Sums and Sigma Notation Connect2Calculus Videos Ch. 4 Sec. 2 eProfessor Ch. 4 Sec. 2 Nonconstant velocity (App) Section 3 Area Approximating an Area with Rectangles (App) Connect2Calculus Videos Ch. 4 Sec. 3 eProfessor Ch. 4 Sec. 3 Riemann Sum (App) Section 4 The Definite Integral A Riemann Sum for a Function with Pos and Neg Values (App) Connect2Calculus Videos Ch. 4 Sec. 4 eProfessor Ch. 4 Sec. 4 Estimating Overall Change in Position (App) Section 5 The Fundamental Theorem of Calculus A Definite Integral with a Variable Upper Limit (App) Connect2Calculus Videos Ch. 4 Sec. 5 eProfessor Ch. 4 Sec. 5 Section 6 Integration by Substitution eProfessor Ch. 4 Sec. 6 Integration by Substitution (App) Section 7 Numerical Integration eProfessor Ch. 4 Sec. 7 Midpoint Rule (App) The (n + 1)-point Trapezoidal Rule (App) Section 8 The Natural Logarithm as an Integral eProfessor Ch. 4 Sec. 8 Natural Logarithm (App) Chapter 5 Applications of the Definite Integral Connect2Calculus Videos Ch. 5 Interactive Applets Ch. 5 Section 1 Area Between Curves An Area Computed by Integrating with Respect to y (App) Connect2Calculus Videos Ch. 5 Sec. 1 eProfessor Ch. 5 Sec. 1 Finding the Area Between Two Curves (App) Section 2 Volume: Slicing, Disks, and Washers Connect2Calculus Videos Ch. 5 Sec. 2 eProfessor Ch. 5 Sec. 2 The Solid of Revolution Revolving about y (App) Using the Method of Disks to Compute Volume (App) Section 3 Volumes by Cylindrical Shells Connect2Calculus Videos Ch. 5 Sec. 3 eProfessor Ch. 5 Sec. 3 Revolving a Region Bounded by y = 0 and a Parabola (App) Solid of Revolution by Cylindrical Shells (App) Section 4 Arc Length and Surface Area Connect2Calculus Videos Ch. 5 Sec. 4 eProfessor Ch. 5 Sec. 4 Graphs Similar Over an Interval (App) Surface of Revolution (App) Section 5 Projectile Motion eProfessor Ch. 5 Sec. 5 Height of the Ball at Time t (App) The Motion of a Tennis Serve (App) Section 6 Applications of Integration to Physics and Engineering Computing the Work Done Stretching a Spring (App) Connect2Calculus Videos Ch. 5 Sec. 6 eProfessor Ch. 5 Sec. 6 Section 7 Probability A Normal Distribution Curve (App) eProfessor Ch. 5 Sec. 7 Chapter 6 Integration Techniques Connect2Calculus Videos Ch. 6 Interactive Applets Ch. 6 Section 1 Review of Formulas and Techniques eProfessor Ch. 6 Sec. 1 Integration Techniques - Review of Formulas (App) Section 2 Integration by Parts eProfessor Ch. 6 Sec. 2 Integration by Parts (App) Section 3 Trigonometric Techniques of Integration eProfessor Ch. 6 Sec. 3 Trigonometric Techniques of Integration (App) Section 4 Integration of Rational Functions Using Partial Fractions eProfessor Ch. 6 Sec. 4 Integration of Rational Functions Using Partial Fractions (App) Section 5 Integration Tables and Computer Algebra Systems eProfessor Ch. 6 Sec. 5 Integration Tables and Computer Algebra Systems (App) Section 6 Improper Integrals eProfessor Ch. 6 Sec. 6 The Comparison Test (App) Chapter 7 First Order Differential Equations Connect2Calculus Videos Ch. 7 Interactive Applets Ch. 7 Section 1 Modeling with Differential Equations Connect2Calculus Videos Ch. 7 Sec. 1 eProfessor Ch. 7 Sec. 1 Modeling with Differential Equations (App) Section 2 Separable Differential Equations Connect2Calculus Videos Ch. 7 Sec. 2 eProfessor Ch. 7 Sec. 2 IVP with Implicit Solution (App) Section 3 Direction Fields and Euler's Method Connect2Calculus Videos Ch. 7 Sec. 3 Direction Fields and Euler's Method (App) eProfessor Ch. 7 Sec. 3 Section 4 Systems of First Order Differential Equations eProfessor Ch. 7 Sec. 4 Systems of First Order Differentiable Equations (App) Chapter 8 Infinite Series Connect2Calculus Videos Ch. 8 Interactive Applets Ch. 8 Section 1 Sequences of Real Numbers Connect2Calculus Videos Ch. 8 Sec. 1 eProfessor Ch. 8 Sec. 1 Finding the Limit of a Sequence (App) Section 2 Infinite Series Connect2Calculus Videos Ch. 8 Sec. 2 eProfessor Ch. 8 Sec. 2 Geometric Series (App) Section 3 The Integral Test and Comparison Tests eProfessor Ch. 8 Sec. 3 Using the Integral Test (App) Section 4 Alternating Series Convergence of the Partial Sums of an Alternating Series (App) eProfessor Ch. 8 Sec. 4 Section 5 Absolute Convergence and the Ratio Test eProfessor Ch. 8 Sec. 5 Using the Ratio Test (App) Section 6 Power Series eProfessor Ch. 8 Sec. 6 Half-Open Interval of Convergence (App) Section 7 Taylor Series A Taylor Series Expansion of sin x (App) Connect2Calculus Videos Ch. 8 Sec. 7 eProfessor Ch. 8 Sec. 7 Graphing Taylor Polynomials (App) Section 8 Applications of Taylor Series eProfessor Ch. 8 Sec. 8 Using Taylor Series to Approximate a Definite Integral (App) Section 9 Fourier Series eProfessor Ch. 8 Sec. 9 Fourier Series (App) Chapter 9 Parametric Equations and Polar Coordinates Connect2Calculus Videos Ch. 9 Interactive Applets Ch. 9 Section 1 Plane Curves and Parametric Equations Connect2Calculus Videos Ch. 9 Sec. 1 eProfessor Ch. 9 Sec. 1 The Path of a Projectile (App) Section 2 Calculus and Parametric Equations Connect2Calculus Videos Ch. 9 Sec. 2 eProfessor Ch. 9 Sec. 2 The Path of the Scrambler (App) Section 3 Arc Length and Surface Area in Parametric Equations Connect2Calculus Videos Ch. 9 Sec. 3 eProfessor Ch. 9 Sec. 3 Skiing Curved Path vs Straight Line (App) Section 4 Polar Coordinates Connect2Calculus Videos Ch. 9 Sec. 4 Converting an Equation from Rectangular to Polar Coordinates (App) eProfessor Ch. 9 Sec. 4 Section 5 Calculus and Polar Coordinates Connect2Calculus Videos Ch. 9 Sec. 5 eProfessor Ch. 9 Sec. 5 Finding the Area Between Two Polar Graphs (App) Section 6 Conic Sections eProfessor Ch. 9 Sec. 6 Identifying the Features of an Ellipse (App) Section 7 Conic Sections in Polar Coordinates eProfessor Ch. 9 Sec. 7 Focus and Directrix (App) Chapter 10 Vectors and the Geometry of Space Connect2Calculus Videos Ch. 10 Interactive Applets Ch. 10 Section 1 Vectors in the Plane Connect2Calculus Videos Ch. 10 Sec. 1 eProfessor Ch. 10 Sec. 1 Finding a Position Vector (App) Section 2 Vectors in Space eProfessor Ch. 10 Sec. 2 Vectors in Space (App) Section 3 The Dot Product Calculating Work (App) Connect2Calculus Videos Ch. 10 Sec. 3 eProfessor Ch. 10 Sec. 3 Section 4 The Cross Product Connect2Calculus Videos Ch. 10 Sec. 4 eProfessor Ch. 10 Sec. 4 Finding the Distance from a Point to a Line (App) Section 5 Lines and Planes in Space eProfessor Ch. 10 Sec. 5 Equation of a Plane (App) Section 6 Surfaces in Space eProfessor Ch. 10 Sec. 6 Sketching an Elliptic Cone (App) Sketching a Paraboloid (App) Chapter 11 Vector-Valued Functions Connect2Calculus Videos Ch. 11 Interactive Applets Ch. 11 Section 1 Vector-Valued Functions Connect2Calculus Videos Ch. 11 Sec. 1 eProfessor Ch. 11 Sec. 1 Sketching the Curve Defined by a Vector-Valued Function (App) Section 2 The Calculus of Vector-Valued Functions eProfessor Ch. 11 Sec. 2 The Calculus of Vector-Valued Functions (App) Section 3 Motion in Space Connect2Calculus Videos Ch. 11 Sec. 3 eProfessor Ch. 11 Sec. 3 Finding the Velocity and Acceleration Vectors (App) Section 4 Curvature Connect2Calculus Videos Ch. 11 Sec. 4 eProfessor Ch. 11 Sec. 4 Finding a Unit Tangent Vector (App) Section 5 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