Web Supplements to Your Textbook

Houghton Mifflin Web Pages

Houghton Mifflin, publisher of the textbook, maintains some related Web pages related to your textbook:

• The main page is at < http://college.hmco.com/mathematics/larson/calculus_analytic/7e/students/index.html >
• Appendices D through G are at < http://college.hmco.com/mathematics/larson/calculus_analytic/7e/students/appendices.html >. You may find Appendix D especially helpful if you need to refresh your memory of precalculus.
• A number of the graphs in the exercises are available in larger format at < http://www.mathgraphs.com/mg_clc7e.html >

MAA Articles

Sidebars in your textbook refer to articles published in four magazines by the Mathematical Association of America. They are all available on the Web in PDF format, which requires Adobe Acrobat Reader. You probably already have Adobe Acrobat Reader installed on your PC, but if not you can download and install it free.

Mathematics Magazine

• Abu-Mostafa, Yaser: “A Differentiation Test for Absolute Convergence”
• Austin, Bill, Don Barry, and David Berman: “The Lengthening Shadow: The Story of Related Rates”
• Braden, Bart: “Design of an Oscillating Sprinkler”
• Fay, Temple H.: “A Study in Step Size”
• Hendel, Russell Jay: “Proof Without Words: Area of a Disk in (pi)R^2”
• Lekner, John: “What Goes Up Must Come Down; Will Air Resistance Make it Return Sooner, or Later?”
• Meisters, Gary Hosler: “Tooth Tables: Solution of a Dental Problem by Vector Algebra”
• Rockett, Andrew M.: “Arc Length, Area, and the Arcsine Function”
• Shultz, Harris S., and Bill Leonard: “Unexpected Occurences of the Number e”

American Mathematical Monthly

• Barshinger, Richard: “How Not to Land at Lake Tahoe!”
• Baxley, John V., and John C. Moorhouse: “Lagrange Multiplier Problems in Economics”
• Bloom, John, and Lee Whitt: “The Geometry of Rolling Curves”
• Boas, R.P.: “Counterexamples to L’Hopital’s Rule”
• Cable, Charles A.: “The Disk and Shell Method”
• Deakin, Michael A. B.: “Hypatia and Her Mathematics”
• Franklin, Joel: “Mathematical Methods of Economics”
• Grabiner, Judith V.: “Who Gave You the Epsilon? Couchy and the Origins of Rigorous Calculus”
• Lawlor, Gary: “A New Minimization Proof for the Brachistrochrone”
• Maesumi, Mohsen: “Parabolic Mirrors, Elliptic and Hyperbolic Lenses”
• Maurer, Peter M.: “A Rose is a Rose”
• Mumma, Charles C., II: “N! and the Root Test”
• Rappaport, Karen D.: “S. Kovalevsky: A Mathematical Lesson”
• Roth, Richard L.: “Tape Counters”
• Shenitzer, A., and J. Steprans: “The Evolution of Integration”

College Mathematics Journal

• Berkove, Ethan, and Rich Marchand: “The Long Arm of Calculus”
• Braden, Bart: “The Surveyor’s Area Formula”
• Byrd, Stan, and Terry Walters: “Graphs of Rational Functions for Computer Assisted Calculus”
• Cass, Daniel, and Gerald Wildenberg: “Relations between Surface Area and Volume in Lakes”
• Cella, Paul: “Reexamining the Catenary”
• Cullen, Mike: “Moire Fringes and Conic Sections”
• Fleron, Julian F.: “Gabriel’s Wedding Cake”
• Gearhart, William B., and Harris S. Shultz: “The Function (sin x)/x”
• Gillman, Leonard: “More on Tabular Integration by Parts”
• Gordon, Florence S., and Sheldon P. Gordon: “Mathematical Discovery via Computer Graphics: Hypocycloids and Epicycloids”
• Grant, Hardy: “Leibniz and the Spell of the Continuous”
• Hall, Richard L.: “Computer-Aided Delusions”
• Hartzler, J. S.: “Designing a Rose Cutter”
• Hesterberg, Tim: “The Spider′s Spacewalk Derivation of sin′ and cos′”
• Horowitz, David: “Tabular Integration by Parts”
• Huang, Xun-Cheng: “A Shortcut in Partial Fractions”
• Insel, Arnold J.: “A Direct Proof of the Integral Formula for Arctangent”
• Kalman, Dan: “Six Ways to Sum a Series”
• Kleiner, Israel: “Evolution of the Function Concept: A Brief Survey”
• Kleinz, Marcia, and Thomas J. Osler: “A Child’s Garden of Fractional Derivatives”
• Knop, Larry E.: “Cantor’s Disappearing Table”
• Knox, John, and Harlan J. Brothers: “Novel Series-based Approximations to e”
• Luciano, Dennis, and Gordon Prichett: “Cryptology: From Caesar’s Cipher to Public-key Cryptosystems”
• Mathews, John H.: “A Geometric Proof of the limit as d approaches 0+ of (-dlnd)”
• Nicol, Sherrie J.: “Integrals of Products of Sine and Cosine with Different Arguments”
• Scholten, Paul, and Andrew Simoson: “The Falling Ladder Paradox”

Math Horizons

• Katz, Victor J.: “Sines and Cosines of the Times”