Mathematica Tutorial

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Transcript of Mathematica Tutorial

  • iii

    TABLE OF CONTENTS

    1. INFORMATION FOR INSTRUCTORS ................................................................................................ 1A. GETTING STARTED ..........................................................................................................................................1

    Determine the Computing Needs of Your Students .................................................................................................................. 1Familiarize Yourself With the Student Computing Environment ............................................................................................. 1Install Mathematica Modules and CAS Exercise Examples ..................................................................................................... 1

    B. PLANNING YOUR COURSE .............................................................................................................................2Student Background.................................................................................................................................................................. 2Integrating Computer Exercises into your Syllabus.................................................................................................................. 2Familiarize Yourself with the CAS Exercises and the Mathematica Modules ......................................................................... 2

    C. ASSIGNING MATHEMATICA MODULES AND CAS EXERCISES ..........................................................2Do the Exercise Before You Assign Them ............................................................................................................................... 2Discuss Mathematica Assignments in Class ............................................................................................................................. 2Assign Only Portions of Certain Modules ................................................................................................................................ 2Determine if Group Work is Allowed....................................................................................................................................... 3Determine the Acceptable Form for Completed Assignments.................................................................................................. 3The Following Section Entitled Information for Students is Also For You!............................................................................. 3

    2. INFORMATION FOR STUDENTS....................................................................................................... 4A. MATHEMATICA NOTEBOOKS....................................................................................................................4

    Cells .......................................................................................................................................................................................... 4Creating New Cells ................................................................................................................................................................... 5Executing Mathematica Commands ......................................................................................................................................... 5Re-executing Mathematica Commands .................................................................................................................................... 6Closing and Opening Cell Groups ............................................................................................................................................ 6Deleting Cells............................................................................................................................................................................ 7Palettes ...................................................................................................................................................................................... 7

    B. COMMON PROBLEMS ENCOUNTERED ...................................................................................................8Storage Problems ...................................................................................................................................................................... 8Losing your Work ..................................................................................................................................................................... 8Syntax Errors ............................................................................................................................................................................ 8Printing problems...................................................................................................................................................................... 9

    C. MATHEMATICA MODULES .........................................................................................................................9D. COMPUTER ALGEBRA SYSTEM EXERCISES .......................................................................................14

    Study the CAS Exercise Examples ......................................................................................................................................... 14Note to those using the Early Transcendentals Version.......................................................................................................... 14

  • INFORMATION FOR INSTRUCTORS 1

    1. INFORMATION FOR INSTRUCTORS

    Many of the exercise sets in Thomas Calculus, Tenth Edition and Thomas Calculus, Early Transcendentals, Tenth Editioncontain Computer Algebra System (CAS) exercises, grouped in special sections labeled Computer Explorations, which can besolved using Mathematica. In addition to the CAS exercises, the Thomas Calculus CD-ROM and Web Site contain a collectionof 38 Mathematica modules designed to help students develop a geometric intuition and deeper understanding and appreciationof calculus concepts, methodologies, and applications. CD/Web site icons mark the locations in the text where material relatedto these modules is covered.

    If you plan on using (or are considering using) some of the CAS exercises or Mathematica modules associated with ThomasCalculus, then first spend a few minutes reading through the following information containing general advice and tips forsuccessfully integrating Mathematica into your course.

    A. GETTING STARTED

    Determine the Computing Needs of Your StudentsFirst, you need to determine where students will complete their Mathematica assignments. If you plan on having studentscomplete their work on campus, then make sure that Mathematica is installed and available in the lab where students will beworking.

    For those of you who need to purchase Mathematica for a campus computer lab, consider an educational site license, which willallow your school to install Mathematica on several machines at a discounted price. Currently, Mathematica runs on most majorplatforms and operating systems. For more information and technical requirements for the various platforms, visitwww.wolfram.com/products/mathematica/platforms/. For more information on the purchasing an academic site license, go towww.wolfram.com/solutions/highered/academicpurchase/.

    If Mathematica is not available on campus, then you will need to determine if it is feasible for students to purchase their owncopies of Mathematica. The student version is called Mathematica for Students and it is available at greatly reduced price (about90% off the professional version price). Full-time students and in some cases, part-time students are eligible to purchase thestudent version. Although it is available online, you may want your campus bookstore to have copies of Mathematica forStudents available for purchase. For more information about Mathematica for Students, go towww.wolfram.com/products/student/mathforstudents/. This site includes information on eligibility requirements for purchasingMathematica for Students along with information about the similarities and differences between the student version andprofessional version of Mathematica.

    Familiarize Yourself With the Student Computing EnvironmentIf your students will be working with Mathematica on campus, then you will need to spend some time familiarizing yourselfwith the computer lab. Be sure you determine how students log onto a computer, start the Mathematica program, quit aMathematica session and log out of a computer when a Mathematica session is completed. Also find out where students willsave their completed electronic files and when the computer lab will be open for student use. Keep track of all this informationand pass it on to your students.

    Install Mathematica Modules and CAS Exercise ExamplesAlthough students can access all of the Mathematica Modules on the CD/Web site, be sure you also make these files available inan electronic folder that students can access in the computer lab. In addition, the electronic files for the CAS Computer Exerciseexamples contained in this manual should also be placed in an electronic folder that students can access. These files can only bedownloaded from the Web site, not the CD-ROM. By making this material available in the lab, students will be able to downloadany files they need, even if they forget to bring their CD into the lab or if they do not have internet access.

  • 2 INFORMATION FOR INSTRUCTORS

    B. PLANNING YOUR COURSE

    Student BackgroundIt will very helpful to collect some academic information about your students and to determine if they have had previousexperience working with computers. Knowing a little bit of academic information about your students may help