1090906573|default|Chapter 17: Second-Order Differential Equations|
Tutorial Quiz{nl}{nl}Web Links
{nl} Chapter 17: Second Order Differential Equations
{nl}
{nl}Second Order Differential Equations
{nl} This website contains introductory notes on second order differential equations and some elementary solution techniques, including some techniques not covered in the text.
{nl} Section 17.3: Applications of Second-Order Differential Equations
{nl}
{nl}Bungee Jumping
{nl} A project incorporating second order linear differential equations.
{nl} Section 17.4: Series Solutions
{nl}
{nl}Series Solutions - Introduction
{nl} This page uses Taylor Series as an introduction to series solutions with several example problems.
{nl} Series Solutions: First Examples
{nl}This page contains worked examples of series solutions with an introduction to recursion relations.|||2||
1090906521|default|Chapter 16: Vector Calculus| Tutorial Quiz
{nl}{nl}Visuals and Modules{nl}{nl}Web Links
{nl} Chapter 16: Vector Calculus
{nl}
{nl}Vector Calculus
{nl} This comprehensive site offers information on almost every aspect of elementary vector calculus.
{nl} Section 16.1: Vector Fields
{nl}
{nl}Vector Field Analyzer
{nl} A similar Java applet that plots the vector fields of sample functions and lets you analyze the flow and other properties of the vector field.
{nl} Section 16.2: Line Integrals
{nl}
{nl}Visualizing Circulation of Vector Fields
{nl} This site shows how line integrals over a closed curve in a plane can be visualized as ordinary integrals with respect to the arc length parameter.
{nl} Section 16.5: Curl and Divergence
{nl}
{nl}Flows of Vector Fields
{nl} A Java applet that plots the vector fields of several functions and shows the effect of curl and divergence.
{nl}From Points to Regions
{nl} A guide showing how the divergence of a vector field combined with integration can be used to determine characteristics of an entire region in one, two, and three dimensions.
{nl}Divergence in Two and Three Dimensions
{nl} A tutorial using population growth and migration to explain divergence in a vector field in two and three dimensions.
{nl} Section 16.6: Parametric Surfaces and Their Areas
{nl}
{nl} Surface Area for Parametric Surfaces
{nl}This online graphing tool allows the user to generate parametric surfaces.|||2||
1090906493|default|Chapter 15: Multiple Integrals| Tutorial Quiz
{nl}{nl}Visuals and Modules{nl}{nl}Web Links
{nl} Chapter 15: Multiple Integrals
{nl}
{nl} Section 15.3: Double Integrals over General Regions
{nl}
{nl}Volumes and Double Integrals
{nl} A tutorial with illustrations on how to calculate the volumes of solids using multiple integrals.
{nl} Section 15.5: Applications of Double Integrals
{nl}
{nl}Centers of Mass and Moments of Inertia
{nl} An introduction to calculating centers of mass and moments of inertia with example problems.
{nl} Section 15.7: Triple Integrals
{nl}
{nl}Examples of Triple Integration
{nl} A page containing a couple of practice problems involving triple integration.
{nl} Section 15.8: Triple Integrals in Cylindrical and Spherical Coordinates
{nl}
{nl}Triple Integrals
{nl} This site provides an introduction to triple integrals in cylindrical and spherical coordinates, with examples and illustrations.
{nl} Section 15.9: Change of Variables in Multiple Integrals
{nl}
{nl}Change of Variables in Multiple Integrals
{nl} This site presents a discussion on why a change of variables is useful and then works through several examples.|||2||
1090906461|default|Chapter 14: Partial Derivatives| Tutorial Quiz
{nl}{nl}Visuals and Modules{nl}{nl}Web Links
{nl}Chapter 14: Partial Derivatives
{nl}
{nl}Section 14.3: Partial Derivatives
{nl}Partial Derivatives
{nl} This site presents visual interpretations of partial derivatives.
{nl}A Non-Differentiable Function with Partial Derivatives Everywhere
{nl} Describes (and graphs) a function that has partial derivatives everywhere but is not differentiable everywhere.
{nl}Partial Differentiation
{nl} A tutorial on "partial functions," partial derivatives, and second partial derivatives with example problems.
{nl} Section 14.4: Tangent Planes and Linear Approximations
{nl}Gradients, Directional Derivatives, and Tangent Planes
{nl} A lengthy discussion of gradients, directional derivatives, and tangent planes with practice problems.
{nl} Section 14.6: Directional Derivatives and the Gradient Vector
{nl}A Non-Differentiable Function with All Directional Derivatives
{nl} A description and graph of a function with all directional derivatives at the origin that is not differentiable there. (Note: uses alternate notations.)
{nl}Gradient
{nl} A project exploring the concept of gradient with interactive Java applets.
{nl}The Gradient and the Directional Derivative
{nl} A tutorial on gradients and directional derivatives, with instructions on how to calculate and illustrate them on a TI-92.
{nl}Gradients and Contour Curves
{nl} A java applet that plots gradient vectors and level curves according to a function that you specify.
{nl} Section 14.8: Lagrange Multipliers
{nl} Lagrange Multipliers
{nl}An in-depth discussion of Lagrange Multipliers with geometric interpretations.|||2||
1090906430|default|Chapter 13: Vector Functions| Tutorial Quiz
{nl}{nl}Visuals and Modules{nl}{nl}Web Links
{nl} Chapter 13: Vector Functions
{nl}
{nl} Section 13.2: Derivatives and Integrals of Vector Functions
{nl}
{nl}TI-92 -- Integrating Vector-Valued Functions
{nl} A quick guide to integrating a vector-valued function on a TI-92 graphing calculator.
{nl} Section 13.3: Arc Length and Curvature
{nl}
{nl}Arc Length, Tangents, Normals, and Curvature
{nl} A tutorial on finding the arc length, tangents, normals, and curvature of a curve using vector equations.
{nl} Section 13.4: Motion in Space: Velocity and Acceleration
{nl}
{nl}Johannes Kepler: The Laws of Planetary Motion
{nl} Describes the development of Kepler's ideas along with an explanation of each of his three Laws of Planetary Motion.
{nl} Kepler's Laws of Planetary Motion
{nl}Uses diagrams and animations to illustrate Kepler's Laws of Planetary Motion|||2||
1090822730|default|Chapter 12: Vectors and the Geometry of Space| Tutorial Quiz
{nl}{nl}Visuals and Modules{nl}{nl}Web Links
{nl} Chapter 12: Vectors and Geometry of Space
{nl}
{nl} Section 12.2: Vectors
{nl}
{nl}Exploring Vectors with Geometer's Sketchpad
{nl} This site illustrates a number of vector concepts for those who have Geometer’s Sketchpad software.
{nl} Section 12.3: The Dot Product
{nl}
{nl}What Good Are Dot Products?
{nl} A summary of the various reasons that dot products are useful.
{nl} Section 12.7: Cylindrical and Spherical Coordinates
{nl}
{nl}Cylindrical Coordinates
{nl} The first portion of this page illustrates cylindrical coordinates with animations.
{nl} Spherical Coordinates
{nl}The first portion of this page illustrates spherical coordinates with animations.|||2||
1090822719|default|Chapter 11: Infinite Sequences and Series| Tutorial Quiz{nl}{nl}Web Links
{nl} Chapter 11: Infinite Sequences and Series
{nl}
{nl} Section 11.1: Sequences
{nl}
{nl}Visual Calculus / Sequences
{nl} A tutorial on sequences, with examples and diagrams.
{nl}Analysis WebNotes: Sequences
{nl} A collection of notes on sequences with examples, animations, and practice problems.
{nl}Sequences
{nl} An overview of sequences, with many practice problems with solutions.
{nl} Section 11.2: Series
{nl}
{nl}Introduction to Series
{nl} An introduction to series, covering partial sums, convergence tests, geometric series, and more.
{nl}Visual Calculus / Series
{nl} Another good introduction to series, covering partial sums, convergence tests, geometric series, harmonic series, practice problems, and more.
{nl} Section 11.3: The Integral Test and Estimates of Sums
{nl}
{nl}Visual Calculus / Integral Test
{nl} A tutorial on the Integral Test with examples and solutions.
{nl}Visual Calculus / Error Estimates Using the Integral Test
{nl} A tutorial on using the Integral Test to estimate errors.
{nl} Section 11.5: Alternating Series
{nl}
{nl}Visual Calculus / Alternating Series
{nl} A tutorial on alternating series, including the test for alternating series, how to estimate errors, and practice problems with solutions.
{nl} Section 11.6: Absolute Convergence and the Ratio and Root Tests
{nl}
{nl}Visual Calculus / Absolute Convergence
{nl} A tutorial on absolute convergence and the Ratio Test, with practice problems and solutions.
{nl}Absolute Convergence
{nl} A guide to determining if a series is absolutely convergent, including practice problems and solutions.
{nl}Visual Calculus / The Ratio Test
{nl} A tutorial on the Ratio Test, with practice problems and solutions.
{nl}The Root and Ratio Tests
{nl} Another tutorial on the Root and Ratio Tests, with many example problems and solutions.
{nl} Section 11.7: Strategy for Testing Series
{nl}
{nl}Testing Series
{nl} This page presents a summary of all series tests, including the comparison tests.
{nl} Section 11.8: Power Series
{nl}
{nl}Visual Calculus / Power Series
{nl} An explanation of power series with many example problems.
{nl}Power Series
{nl} Another tutorial on power series, with practice problems and solutions.
{nl}Power Series Approximation
{nl} A Java applet that computes the first n terms of the power series expansion of a function.
{nl} Section 11.9: Representations of Functions as Power Series
{nl}
{nl}Representing a Function as a Power Series
{nl} This page demonstrates using a geometric series to represent a function as a power series.
{nl} Section 11.10: Taylor and Maclaurin Series
{nl}
{nl}Visual Calculus / Taylor Polynomials
{nl} A site on Taylor polynomials, with practice problems and solutions.
{nl}Function Plotter
{nl} An online Java applet that plots the graphs of functions and their Taylor polynomials.
{nl}Taylor Series
{nl} A tutorial on Taylor series, with practice problems and solutions.
{nl} Section 11.12: Applications of Taylor Polynomials
{nl}
{nl} Taylor Polynomials
{nl}This site provides examples applying Taylor series to explain physical behavior, including modeling the behavior of a swinging pendulum, and using radiation to measure wavelengths|||2||
1090822711|default|Chapter 10: Parametric Equations and Polar Coordinates| Tutorial Quiz{nl}{nl}Web Links
{nl} Chapter 10: Parametric Equations and Polar Coordinates
{nl}
{nl}Parametric and Polar Equations
{nl} This page features a comprehensive introduction to parametric equations and polar coordinates. Includes a large number of worked out examples.
{nl} Section 10.1: Curves Defined by Parametric Equations
{nl}
{nl}Plotting Parametric Curves
{nl} An online tool that plots a parametrically defined curve based on parametric equations that you specify.
{nl} Section 10.2: Calculus with Parametric Curves
{nl}
{nl}Visual Calculus / Tangent Lines and Parametric Curves This page has a tutorial and practice problems on finding the tangent line to a parametric curve.
{nl}Visual Calculus / Area Bounded by a Parametric Curve
{nl} A tutorial with animations on finding the area bounded by a parametric curve.
{nl} Section 10.3: Polar Coordinates
{nl}
{nl}Visual Calculus / Polar Coordinates
{nl} A good tutorial on polar coordinates, how to plot them, and using a TI-86 (or TI-85) graphing calculator to graph them.
{nl}Polar Plot
{nl} This online applet plots the graph of a function given in polar coordinates.
{nl} Section 10.4: Areas and Lengths in Polar Coordinates
{nl}
{nl}Visual Calculus / Arc Length
{nl} A tutorial on finding the arc length of a curve, including curves given by parametric equations.
{nl} Section 10.5: Conic Sections
{nl}
{nl}An Introduction to Conic Sections
{nl} A thorough introduction to conic sections with many examples.
{nl} Conic Section Movie
{nl}An animation that shows how conic sections are generated by the intersection of a plane with a right circular cone.|||2||
1090822703|default|Chapter 9: Differential Equations| Tutorial Quiz{nl}{nl}Web Links
{nl} Chapter 9: Differential Equations
{nl}
{nl}Intro to Differential Equations
{nl} SOS Math’s site offers a comprehensive overview of all major topics in elementary differential equations.
{nl} Section 9.1: Modeling with Differential Equations
{nl}
{nl}Modeling via Differential Equations
{nl} An introduction to the basic steps of building a model of a system with differential equations.
{nl}Salmon and Steelhead Migration
{nl} A site containing several basic models about salmon and steelhead migration, using differential equations.
{nl}Small Mammal Dispersion
{nl} A page that describes a model of dispersion of a population of beavers using differential equations.
{nl}A Model of a Hydroplane
{nl} A model of the motion a hydroplane racing boat makes, using differential equations and Java applets.
{nl} Section 9.2: Direction Fields and Euler’s Method
{nl}
{nl}Tangent Field (Direction Field)
{nl} This applet plots the direction field of a first-order ordinary differential equation that you specify.
{nl}Raindrops
{nl} This portion of an online module solves a differential equation modeling falling raindrops by using Euler's method.
{nl}Predator-Prey
{nl} This portion of an online module numerically solves the differential equations for predator-prey models by using Euler's method.
{nl}Numerical Technique: Euler's Method
{nl} A guide to using Euler's method for approximating solutions to differential equations, with the help of diagrams.
{nl} Section 9.3: Separable Equations
{nl}
{nl}Solving a Separable Ordinary Differential Equation
{nl} An online calculator that finds the symbolic solution to a separable ordinary differential equation that you specify.
{nl} Section 9.4: Exponential Growth and Decay
{nl}
{nl}Population Dynamics
{nl} A tutorial on building a model of population growth using differential equations, with examples.
{nl}Modeling Population Growth
{nl} A web page that explains how to model population growth through the use of differential equations.
{nl} Section 9.5: The Logistic Equation
{nl}
{nl}The Logistic Model
{nl} An online tool that graphs a logistic model based on values that you input.
{nl} Section 9.6: Linear Equations
{nl}
{nl}Linear Equations
{nl} A tutorial on how to solve linear first-order differential equations, with example problems and solutions.
{nl} Section 9.7: Predator-Prey Systems
{nl}
{nl} Predator-Prey Models
{nl}A detailed module on predator-prey models, Euler's method for systems, and more.|||2||
1090822695|default|Chapter 8: Further Applications of Integration| Tutorial Quiz{nl}{nl}Web Links
{nl} Chapter 8: Further Applications of Integration
{nl}
{nl}Further Applications of Integration
{nl} An excellent site that has tutorials covering applications of integration, including arc length and centers of mass. It also has interactive online applets, practice problems with solutions, examples, quizzes, and tutorials on using graphing calculators.
{nl} Section 8.1: Arc Length
{nl}
{nl}Arc Length of a Curve
{nl} This online tool calculates the arc length of the graph of a function over an interval that you specify.
{nl} Section 8.2: Area of a Surface of Revolution
{nl}
{nl}Area of a Surface of Revolution
{nl} Provides a definition of the area of a surface of revolution, with an animation and an example problem.
{nl} Section 8.3: Applications to Physics and Engineering
{nl}
{nl}Moments of Inertia
{nl} A review of moments of inertia, with practice questions.
{nl} Section 8.4: Applications to Economics and Biology
{nl}
{nl}Use of Calculus in Biology
{nl} This interesting site provides a number of ideas for projects that incorporate calculus and the sciences. Worth a look if only to gain a sense of the way that calculus is interwoven into various academic disciplines.
{nl} Section 8.5: Probability
{nl}
{nl} Calculus and Probability
{nl}A complete text resource on the application of Calculus to Probability and Statistics.|||2||
1090822687|default|Chapter 7: Techniques of Integration| Tutorial Quiz{nl}{nl}Web Links
{nl}Chapter 7: Techniques of Integration
{nl}
{nl}Techniques of Integration
{nl} An excellent site that has tutorials covering virtually everything about integration techniques. It also has interactive online applets, practice problems with solutions, examples, quizzes, and tutorials on using graphing calculators.
{nl}Section 7.1: Integration by Parts
{nl}Integration by Parts I
{nl} This tutorial on integration by parts that derives the formula, explains each step of integrating by parts, and includes many examples.
{nl} Section 7.3: Trigonometric Substitution
{nl}Trigonometric Substitution
{nl} A tutorial with examples from Harvey Mudd College on using trigonometric substitutions to evaluate integrals.
{nl} Section 7.4: Integration of Rational Functions by Partial Fractions
{nl}Partial Fraction Expansion of a Rational Function
{nl} This online calculator computes the partial fraction expansion of a rational function that you specify.
{nl} Section 7.5: Strategy for Integration
{nl}Strategies for Integration
{nl} This site provides a broad overview of strategies to employ for a wide array of integrals.
{nl} Section 7.6: Integration Using Tables and Computer Algebra Systems
{nl}S.O.S. Math - Mathematical Tables and Formulas
{nl} An extensive collection of integration formulas and more.
{nl} Section 7.7: Approximate Integration
{nl}Numerical Integration
{nl} An online integrator that will calculate an approximation for the definite integral of a function f over the interval [a, b].
{nl}Simpson's Numerical Integrator
{nl} An online integrator that will use Simpson’s Rule to approximate a definite integral that you specify.
{nl}Numerical Integration: Accumulating Rates of Change
{nl} This online tutorial explains in depth the application of techniques of numerical integration to models related to nature and everyday life.
{nl} Section 7.8: Improper Integrals
{nl} Improper Integrals
{nl}This guide to improper integrals covers nearly all aspects, including convergence tests and gamma and beta functions. Scroll 2/3 of the way down the page to access the section on improper integrals.|||2||
1090822670|default|Chapter 6: Applications of Integration| Tutorial Quiz{nl}{nl}Web Links
{nl} Chapter 6: Applications of Integration
{nl}Applications of Integration
{nl} Visual Calculus / Applications of Integration: An excellent site that has tutorials covering applications of integration, including volumes and work. It also has interactive online applets, practice problems with solutions, examples, quizzes, tutorials on using graphing calculators, and more.
{nl} Section 6.1: Areas Between Curves
{nl}Area Between Two Curves
{nl} This page explores the problem of finding the area bounded between two curves, and includes procedures and solved examples.
{nl} Section 6.2: Volumes
{nl}Volume of a Solid of Revolution
{nl} A page containing tutorials about the four principal methods of finding the volume of a solid: the disc method, the washer method, the cross section method, and the shell method. Each includes sample problems with solutions.
{nl} Section 6.3: Volumes by Cylindrical Shells
{nl}The Shell Method
{nl} A page containing a tutorial on the shell method for obtaining the volume of a solid. Includes sample problems with solutions.
{nl} Section 6.4: Work
{nl}Work and Energy
{nl} A site provided by Montana State University that gives a tutorial on work and energy, along with diagrams and animations. (See "Energy Functions in One Dimension.")
{nl} Section 6.5: Average Value of a Function
{nl} Average Value of a Function
{nl}This site uses Flash and Java animations to illustrate the link between the average value of a function and the Mean Value Theorem.|||2||
1090822660|default|Chapter 5: Integrals| Tutorial Quiz{nl}{nl}Downloads
{nl}Area and Integrals Alternative Treatment{nl}{nl}Web Links
{nl} Chapter 5: Integrals
{nl}
{nl}Integrals
{nl} The Integrator: An online integrator that uses Mathematica to evaluate integrals. Provided by Wolfram Research.
{nl}Visual Calculus / Integration
{nl} An excellent site that has tutorials covering virtually everything about integrals. It also has interactive online applets, practice problems with solutions, examples, quizzes, and tutorials on using graphing calculators.
{nl} Section 5.2: The Definite Integral
{nl}
{nl}Definite Integral of a Function
{nl}This applet computes the definite integral of a function you specify on an interval of your choice.
{nl}
{nl}Computing Riemann Sums
{nl} This applet computes and illustrates the Riemann sum of a function you specify, along with the interval and the number of points in the partition.
{nl} Section 5.4: Indefinite Integrals and the Net Change Theorem
{nl}
{nl}Tutorial for the Indefinite Integral A tutorial on indefinite integrals, provided by Hofstra University.
{nl}
{nl} Section 5.5: The Substitution Rule
{nl}
{nl}U-Substitution
{nl}
{nl}Practice problems on the method of u-substitution, provided by UC Davis, with solutions.
{nl} U-Substitution
{nl}Several examples with detailed solutions.|||2||
1090822651|default|Chapter 4: Applications of Differentiation| Tutorial Quiz {nl}{nl}Web Links
{nl} {nl} Chapter 4: Applications of Differentiation
{nl} Applications of Differentiation
{nl} An excellent site that has tutorials covering virtually everything about applications of differentiation. It also has interactive online applets, practice problems with solutions, examples, quizzes, and tutorials on using graphing calculators.
{nl} Section 4.2: The Mean Value Theorem
{nl}
{nl} The Mean Value Theorem
{nl} This site offers a proof of the Mean Value Theorem, along with example problems to illustrate the concept.
{nl} Section 4.3: How Derivatives Affect the Shape of a Graph
{nl}
{nl} Graphing Using First and Second Derivatives
{nl} Practice questions on graphing a variety of functions using first and second derivatives, provided by UC Davis, with solutions.
{nl} Section 4.6: Graphing with Calculus and Calculators
{nl}
{nl} Texas Instruments:
{nl} The official site of the maker of widely-used graphing calculators.
{nl} Ticalc.org
{nl} This is the self-described "official" unofficial headquarters for TI graphing calculators. A multitude of programs for a wide range of Texas Instruments calculators can be found here for download.
{nl} CASIO: Support Classroom With Technology
{nl} Casio's official site for their line of calculators, including product information, a program library, and much more.
{nl} Hewlett Packard Calculators
{nl} Hewlett Packard's official site for their calculators, including product information, technical support, and resources for creating and downloading calculator programs.
{nl} Section 4.7: Optimization Problems
{nl}
{nl} Applied Maxima and Minima
{nl} Practice maximum/minimum optimization problems, provided by UC Davis, with solutions.
{nl} Section 4.8: Applications to Business and Economics
{nl}
{nl} Derivatives Applied to Economics
{nl} This page gives three problems with solutions that require the use of the first derivative to solve introductory questions in economics.
{nl} Section 4.9: Newton’s Method
{nl}
{nl} Newton's Method:
{nl} A Java applet that demonstrates Newton's method graphically.
{nl} Section 4.10: Antiderivatives
{nl}
{nl} Visual Calculus / Integration
{nl} An excellent site that has tutorials covering virtually everything about integrals. It also has interactive online applets, practice problems with solutions, examples, quizzes, and tutorials on using graphing calculators.
|||2||
1090822625|default|Chapter 3: Differentiation Rules| Tutorial Quiz{nl}{nl}Web Links
{nl} {nl} Chapter 3: Differentiation Rules
{nl}
{nl} Section 3.2: The Product and Quotient Rules
{nl}
{nl} Differentiation Using the Product Rule
{nl} Practice problems relating to the Product Rule, provided by the UC Davis, with solutions.
{nl} Differentiation Using the Quotient Rule
{nl} Practice problems relating to the Quotient Rule, provided by UC Davis, with solutions.
{nl} {nl} {nl} Section 3.4: Derivatives of Trigonometric Functions
{nl}
{nl} Practice Problems on Trigonometric Functions
{nl} Practice questions on differentiating trigonometric functions, provided by UC Davis, with solutions.
{nl} Section 3.5: The Chain Rule
{nl}
{nl} Practice Problems on the Chain Rule
{nl} Practice questions on the Chain Rule, provided by UC Davis, with solutions.
{nl} Section 3.6: Implicit Differentiation
{nl}
{nl} Practice Problems on Implicit Differentiation
{nl} Practice questions on implicit differentiation, provided by UC Davis, with solutions.
{nl} {nl} {nl} Section 3.10: Related Rates
{nl}
{nl} Related Rates
{nl} A tutorial on solving related rates problems, with step-by-step walkthroughs through examples.
|||2||
1090795193|default|Chapter 2: Limits and Derivatives| Tutorial Quiz {nl}{nl}Web Links
{nl}{nl} {nl} Chapter 2: Limits and Derivatives
{nl}
{nl} Visual Calculus / Limits and Continuity
{nl} An excellent site that has tutorials covering virtually everything about limits, continuity, and asymptotes. Limits are presented numerically, graphically, and symbolically. It also has interactive online applets, practice problems with solutions, examples, quizzes, and tutorials on using graphing calculators.
{nl} {nl} {nl} Section 2.1: The Tangent and Velocity Problems
{nl}
{nl} Animated Secant Approaching the Tangent
{nl} A Java applet animation that shows a secant approaching the tangent line.
{nl} Section 2.4: The Precise Definition of a Limit
{nl}
{nl} Definition of Limit
{nl} A presentation of the definition of limit, along with a number of solved examples.
{nl} Section 2.5: Continuity
{nl}
{nl} Continuity and Discontinuity
{nl} Definitions and examples of continuity and discontinuity both at single points and on intervals.
{nl} {nl} {nl} Section 2.6: Limits at Infinity; Horizontal Asymptotes
{nl} Limits of Functions as x Approaches Infinity
{nl} Practice questions provided by UC Davis, with solutions.
{nl} {nl} {nl} Section 2.7: Tangents, Velocities, and Other Rates of Change
{nl}
{nl} Tangent Line as the Limit of Secant Lines
{nl} Construction of the tangent line as the limit of secant lines at a point.
{nl} Rate of Change Applied to Import/Export
{nl} Discussion of rates of change with an example using export data
{nl} {nl} {nl} Visual Calculus / Derivatives
{nl} An excellent site that has tutorials covering virtually everything about derivatives. It also has interactive online applets, practice problems with solutions, examples, quizzes, and tutorials on using graphing calculators.
{nl} Section 2.8: Derivatives
{nl}
{nl} Derivatives Using the Limit Definition
{nl} This is a set of practice problems about derivatives provided by the University of California, Davis, with solutions.
{nl} Section 2.9: The Derivative as a Function
{nl}
{nl} Derivative as a Function
{nl}A thorough examination of the concept of the derivative as a function. This site includes a number of worked out examples and is intended to be used with a CAS.
{nl}
|||2||
1090794855|default|Chapter 1: Functions and Models| Tutorial Quiz{nl}{nl}Web Links
{nl} Chapter 1: Functions and Models
{nl} Visual Calculus / Pre-Calculus
{nl}An excellent site that has tutorials covering virtually everything about functions. It also has interactive online applets, practice problems with solutions, examples, quizzes, and tutorials on using graphing calculators.
{nl}
{nl} Section 1.1: Four Ways to Represent a Function
{nl} Quickmath
{nl} This site uses Mathematica to solve, simplify, expand, or factor equations, systems of equations, and inequalities. It also performs operations with matrices and plots graphs.
{nl} {nl} {nl} Section 1.2: Mathematical Models
{nl}
{nl} A Context for Calculus
{nl} An excellent site that walks you through the process of generating a mathematical model for the spread of disease. Includes exercises and sample models of several diseases.
{nl} Section 1.3: New Functions from Old Functions
{nl}
{nl} Composite functions
{nl} This is a thorough explanation of the concept of composite functions and their domains, along with a couple of worked out examples.
{nl} Section 1.4: Graphing Calculators and Computers
{nl}
{nl} Texas Instruments
{nl} The official site of the maker of widely used graphing calculators.
{nl} Ticalc.org
{nl} This is the self-described "official" unofficial headquarters for TI graphing calculators. A multitude of programs for a wide range of Texas Instruments calculators can be found here for download.
{nl} CASIO: Support Classroom With Technology
{nl} Casio's official site for their line of calculators, including product information, a program library, and much more.
{nl} Hewlett Packard Calculators
{nl} Hewlett Packard's official site for their calculators, including product information, technical support, and resources for creating and downloading calculator programs.
{nl} Section 1.6: Inverse Functions and Logarithms
{nl}
{nl} Inverses of Functions
{nl} A thorough and easy-to-understand explanation of inverse functions. This page also uses Flash and Java animations to illustrate the material.
{nl} Problems About Exponential and Logarithmic Functions
{nl} Practice problems with solutions, organized by level of difficulty.
|||2||
1090820133|default|Instructor Area|The links below will take you to a password protected area of the Brooks/Cole Stewart Calculus Instructor Resources web site.
Solution Builder
Archived Problems|||5||
1080255884|default|Book Supplements|Miscellaneous resources for students and teachers.
Please scroll down for instructors' supplements.
For Students
The following resources are available to enhance student learning and most are available separately for student purchase. Please note that some items are automatically packaged with the text and are not sold separately. Instructors, please contact your sales representative if you would like information on other packaging alternatives.
ISBN: 0495012440
BCA Homework Instructor's Version
http://bca.brookscole.com
BCA Homework allows instructors to assign machine-gradable homework problems that assist students in identifying where they need additional help. That assistance is available through worked out solutions that guide students through the steps of problem solving, or via live online tutoring at vMentor. The tutors at this online service skillfully guide students through a problem, using unique two-way audio and whiteboard features.
CalcLabs with Derive (MV)
Available as PDFs at www.stewartcalculus.com.
CalcLabs with Derive (SV)
Available as PDFs at www.stewartcalculus.com.
CalcLabs with Maple (MV)
ISBN: 0534393616
Each of these comprehensive lab manuals will help students learn to effectively use the technology tools available to them. Each lab contains clearly explained exercises and a variety of labs and projects to accompany the text.
CalcLabs with Maple (SV)
ISBN: 0534393705
Each of these comprehensive lab manuals will help students learn to effectively use the technology tools available to them. Each lab contains clearly explained exercises and a variety of labs and projects to accompany the text.
CalcLabs with Mathematica (MV)
ISBN: 0534393624
Each of these comprehensive lab manuals will help students learn to effectively use the technology tools available to them. Each lab contains clearly explained exercises and a variety of labs and projects to accompany the text.
CalcLabs with Mathematica (SV)
ISBN: 0534393713
Each of these comprehensive lab manuals will help students learn to effectively use the technology tools available to them. Each lab contains clearly explained exercises and a variety of labs and projects to accompany the text.
CalcLabs with TI-82/83 (SV)
Available as PDFs at www.stewartcalculus.com.
CalcLabs with TI-85/86 (SV)
Available as PDFs at www.stewartcalculus.com.
CalcLabs with TI-89/92 (MV)
Available as PDFs at www.stewartcalculus.com.
CalcLabs with TI-89/92 (SV)
Available as PDFs at www.stewartcalculus.com.
Student Solutions Manual (MV)
ISBN: 0534393608
Provides completely worked-out solutions to all odd-numbered exercises within the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.
Student Solutions Manual (SV, ET)
ISBN: 0534393330
Provides completely worked-out solutions to all odd-numbered exercises within the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.
Study Guide (MV)
ISBN: 0534393586
Contains a short list of key concepts; a short list of skills to master, a brief introduction to the ideas of the section, an elaboration of the concepts and skills, including extra worked-out examples, and links in the margin to earlier and later material in the text and Study Guide.
Study Guide (SV, ET)
ISBN: 0534393314
Contains a short list of key concepts; a short list of skills to master, a brief introduction to the ideas of the section, an elaboration of the concepts and skills, including extra worked-out examples, and links in the margin to earlier and later material in the text and Study Guide.
Tools for Enriching Calculus, 5th
ISBN: 053439731X
Stewart takes innovation a step further with the Tools for Enriching Calculus CD-ROM. This dynamic learning tool serves as the ideal complement to Stewart texts. This tutorial supplement is available for purchase at www.series.brookscole.com/Stewart.
Video Skillbuilder CD (Calc., ET)
ISBN: 0534393268
CD Packaged with each book, this is a single CD-ROM containing over eight hours of video instruction. The problems worked during each video lesson are listed next to the viewing screen, so that students can work them ahead of time, if they choose. In order to help students evaluate their progress, each section contains a 10-question web quiz and each chapter contains a chapter test, with answers to each problem on each test.
WebTutor Advantage on Blackboard (Calc., ET)
ISBN: 0534393276
A powerful solution for today's students--ideal to support traditional classrooms or distance learning WebTutor extends the vision, concepts, and pedagogy of your text into a highly visual, hands-on learning environment that's available any time you or your students need it. WebTutor's flexible format allows you to assign pre-formatted, text-specific content that is available as soon as you log on or customize its environment in any way you choose--from uploading images and other resources, to adding Web links, to creating your own practice materials. New to WebTutor: seamless access to both InfoTrac® College Edition, an online database of millions of full-text articles, and Newsedge, an online news service that pushes the latest news to your WebTutor site daily. And, whether you simply want to post your syllabus, or you want to connect with your students through virtual office hours, asynchronous discussion, real-time chat sessions, or the integrated e-mail system, it's possible with WebTutor. This incredible resource is backed by WebTutor's T.O.T.A.L. support, training and service, available to you the entire length of your WebTutor adoption. And now, you can bring the latest developments from the field into your classroom with Newsedge--an authoritative news service that delivers customized news feeds daily.
WebTutor Advantage on WebCT (Calc., ET)
ISBN: 0534393284
A powerful solution for today's students--ideal to support traditional classrooms or distance learning WebTutor extends the vision, concepts, and pedagogy of your text into a highly visual, hands-on learning environment that's available any time you or your students need it. WebTutor's flexible format allows you to assign pre-formatted, text-specific content that is available as soon as you log on or customize its environment in any way you choose--from uploading images and other resources, to adding Web links, to creating your own practice materials. New to WebTutor: seamless access to both InfoTrac® College Edition, an online database of millions of full-text articles, and Newsedge, an online news service that pushes the latest news to your WebTutor site daily. And, whether you simply want to post your syllabus, or you want to connect with your students through virtual office hours, asynchronous discussion, real-time chat sessions, or the integrated e-mail system, it's possible with WebTutor. This incredible resource is backed by WebTutor's T.O.T.A.L. support, training and service, available to you the entire length of your WebTutor adoption. And now, you can bring the latest developments from the field into your classroom with Newsedge--an authoritative news service that delivers customized news feeds daily.
iLrn Homework Student Version (Calc., ET)
ISBN: 0534393292
BCA Homework allows instructors to assign machine-gradable homework problems that assist students in identifying where they need additional help. That assistance is available through worked out solutions that guide students through the steps of problem solving, or via live online tutoring at vMentor. The tutors at this online service skillfully guide students through a problem, using unique two-way audio and whiteboard features.
For Instructors
The following complimentary resources are available to instructors only upon adoption of the text. (Some restrictions may apply). To request a review copy or for details on policies, please contact your sales representative or Academic Support at 800-423-0563 Order Samples Form
Calculus: Early Transcendentals, 5th
ISBN: 0534393241
Complete Solutions Manual (MV)
ISBN: 0534393594
Includes worked-out solutions to all exercises in the text.
Complete Solutions Manual (SV, ET)
ISBN: 0534393322
Includes worked-out solutions to all exercises in the text.
Instructor's Guide (AP Calc.)
ISBN: 0534393411
Taking the perspective of optimizing preparation for the AP exam, each section of the main text is discussed from several viewpoints and contains suggested time to allot, points to stress, daily quizzes, core materials for lecture, workshop/discussion suggestions, group work exercises in a form suitable for handout, tips for the AP exam, and suggested homework problems.
Instructor's Guide (Calc., ET)
ISBN: 0534393349
Each section of the main text is discussed from several viewpoints and contains suggested time to allot, points to stress, text discussion topics, core materials for lecture, workshop/discussion suggestions, group work exercises in a form suitable for handout, and suggested homework problems. (This includes Single Variable and Multivariable Content).
Instructor's Resource CD-ROM (Calc., ET)
ISBN: 0534394647
Solution Builder CD-ROM (Calc., ET)
ISBN: 0534394558
Test Items (Calc., ET)
ISBN: 0534393365
Contains multiple-choice and short-answer test items that key directly to the text. (This includes Single Variable and Multivariable Content).
Text-Specific Videos (Calc., ET)
ISBN: 053439325X
This set of videotapes covers single and multivariable calculus, and is available free upon adoption of the text. Each tape offers one chapter of the text and is broken down into 10-20 minute problem-solving lessons that cover each section of the chapter.
Transparency Acetates (MV)
ISBN: 0534393837
Full-color, large-scale sheets of reproductions of material from the text.
Transparency Acetates (SV)
ISBN: 0534393373
Full-color, large-scale sheets of reproductions of material from the text.|||4||
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Fourier Series
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