What’s on the new CD Rom and Web site?

The Thomas' Calculus technology supplements have two primary goals:

• Help students visualize difficult calculus concepts (Visualizing Calculus).
• Help students develop the skills they need as a foundation for understanding those concepts (Skill Building and Practice).

Visualizing Calculus:

With these supplements, students will be able to explore and visualize the following core calculus topics:

• The limit
• The derivative
• The antiderivative
• Riemann Sums
• The fundamental theorem
• Linearization
• Rates of change: geometry and motion
• Optimization
• First order ordinary differential equations (exponential growth)
• Newton's Method
• Numerical integration
• Power series (Taylor series, Fourier series)
• Sequences
• Monte Carlo technique
• Parametric and polar equations
• Surfaces in three dimensions
• Directional derivative
• Least squares
• Heat equation
• Conservative and non-conservative force fields
• Green's theorem
• Divergence theorem

There are three tools to help students visualize these concepts:, Maple and Mathematica Modules, Java applets, and video clips (description follows). One or more of these tools are used to help students visualize the above core concepts.

Explorations:

Maple and Mathematica Modules

Over 35 modules have been written by John L. Scharf and Marie Vanisko of Carroll College of Montana, and Colonel A. Chris Arney of the U.S. Military Academy. This product has been carefully designed to help students develop their geometric intuition and deepen their understanding of calculus concepts and methods. Based on real-world applications, they encourage students to visualize calculus and to discover its importance in everyday life. Users will need Mathematica or Maple to access these modules. Icons reference these modules throughout the text.

Interactive Calculus (Java applets)

These unique interactive calculus Java applets are easy to use, with no syntax or special languages to learn. Students can manipulate equations and graphs in "real time." Topics span limits, projectile motion, slopes, tangents, derivatives, integrals, TNB frames, and the concept of CURL. By bringing these applets into classroom demonstration and discussion, laboratory and homework assignments or independent study, teachers and students can explore the mathematics of time and motion. These applets are designed to build a clear understanding of concepts when they are first encountered and to help students over the hurdles of abstraction that have often confused them in the past.

Video Clips

Video clips of real-world situations provide motivation for learning and applying calculus. These videos have been developed specifically to accompany several of the calculus modules described above.

Expanded Biographies and Histories

Icons throughout the book refer to expanded historical biographies and notes on the Web site and CD-ROM. These materials have been written by Colonel A. Chris Arney of the U.S. Military Academy in collaboration with Joe B. Albree of Auburn University.

Just-in-Time Online Algebra and Trigonometry

Compiled by Ronald I. Brent and Guntram Mueller of the University of Massachusetts, Lowell, this interactive Web-based testing and tutorial system allows students to practice the algebra and trigonometry skills that are critical to mastering calculus. Just-in-Time Online tracks student progress and provides personalized study plans to help students succeed. The registration coupon at the back of this text provides access to this feature of the Web site.

Interactive Calculus Tutorial

Written by G. Donald Allen, Michael Stecher, and Philip B. Yasskin of Texas A & M University, this interactive online calculus tutorial lets students review textbook-specific material by chapter via practice quizzes, and receive diagnostic feedback on their performance.

Skill Mastery Quizzes

A collection of chapter-by-chapter quizzes is also provided on the Web site. These quizzes can be administered and graded online for skills-based mastery assessment.

Additional Instructor Resources:

Transparency Masters

Instructors may download from the CD-ROM a full set of color Power Point art transparencies featuring a number of the more complex figures from the text for use in the classroom.

Downloadable Technology Resources for Specific Computer Algebra Systems and Graphing Calculators

Each manual provides detailed guidance for integrating a specific software package or graphing calculator throughout the course, including syntax and commands. These manuals are available on the Web site for downloading in PDF form.

Collaborative Network

The Collaborative Network is a suite of online communication tools, which include Message Boards and I-Chat. These tools can be used to deliver courses in a Distance Learning environment. Message Boards allow users to post messages and check back periodically for responses. Students can also use Message Boards to obtain peer support for study guide activities, freeing up instructor time. I-Chat is a perfect arena for instructor-led live discussions with groups of students. The I-Chat auditorium allows instructors to post a series of slides in the upper part of the screen while fielding questions (text only) from students in the bottom portion. This is particularly useful either as a review of lectures or for class meetings of geographically dispersed students.

Syllabus Manager ™

Syllabus Manager ™ is a free online syllabus creation and management tool for instructors and students who use this text. It can be used by a non-technical person to build and maintain one or more syllabi on the web. Students may "turn on" an instructor's syllabus from the Web site.

Test-Gen EQ with QuizMaster EQ
Windows and Macintosh CD (dual platform
ISBN 0-201-70287-8
TestGen-EQ's friendly graphical interface enables instructors to easily view, edit, and add questions, transfer questions to tests, and print tests in a variety of fonts and forms. Search and sort features let the instructor quickly locate questions and arrange them in a preferred order. Six question formats are available, including short-answer, true-false, multiple-choice, essay, matching, and bi-modal formats. A built-in question editor gives the user power to create graphs, import graphics, insert mathematical symbols and templates, and insert variable numbers or text. Computerized testbanks include algorithmically defined problems organized according to each version of the textbook (standard and early transcendentals). An "Export to HTML" feature allows instructors to create practice tests for the Web.

QuizMaster-EQ enables instructors to create and save tests using TestGen-EQ so students can take them for either practice or a grade on a computer network. Instructors can set preferences for how and when tests are administered. QuizMaster-EQ automatically grades exams, stores results on disk, and allows the instructor to view or print a variety of reports for individual students, classes, or courses.

This software is free to adopters of the text. Consult your Addison-Wesley representative for details.

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