Laboratory Manual for Calculus

Computer Activities

with Mathcad and Maple V

P. Bogacki, G. Melrose, P. R. Wohl

Preliminary Edition, August 1995

This page provides access to the preliminary edition of the Laboratory Manual for Calculus, developed under the Old Dominion University calculus project.

About the Manual
Copyright Issues
Downloading the Entire Manual
Table of Contents
Contacting the Authors

About the Manual

We intended the manual to be useful to the students in several ways:

as a lab assignment guide:: Activity sections are included in almost all the chapters. Nearly all the activities involve Mathcad (version 5.0 for Windows). Several activities also require Maple V (release 3 for Windows).
as a self-study guide:: Homework Help sections are designed to allow the student to use technology while solving homework problems from the text (Calculus with Analytic Geometry, Larson, Hostetler and Edwards; D.C. Heath, 5th Edition). Some chapters also include a Questions section, intended to help the student assess the insight he or she gained into the visual and numerical aspects of the calculus concepts discussed.
as a reference:: While this guide is not intended to be a software manual, it provides useful information to aid the student in the use of the software during the calculus course(s), as well as afterwards. Software-related information, most of which is given in the course of the activities, is fully indexed for convenience. Appendix A contains a summary of Mathcad operations and functions. Appendix B includes a list of common problems encountered by students while working with Mathcad.

Copyright issues

The entire manual (150 pages), as well as the Mathcad and Maple files, are available on-line subject to the following conditions:

The authors retain full copyright to these materials.
You are granted permission by the authors for individual, non-commercial use of these materials.
Prior to any other kind of use, permission from the authors must be obtained. Note that this includes using these materials in a class you teach.

Because of the large amount of graphics and various fonts, we have used the Adobe Acrobat Portable Document Format (PDF) to allow users of different types of computers to view and print the document without distortion. You will need the Adobe Acrobat Reader software (version 2.1 or higher recommended), which is available without charge at the Adobe Web site. If you have a fast connection, then you may want to download the zipped archives containing all the files:

pdf.zip [2.7 MB] - the entire Laboratory Manual in PDF format
mcd.zip [71 KB] - all the Mathcad files
maple.zip [63 KB] - all the Maple files

If you do not have a fast connection, we recommend that you access the PDF files using the Table of Contents below (each of these files contains either one or two chapters of the manual). Links to individual Mathcad and Maple files have also been placed there.

ch_0.pdf [316 KB]

Chapter 0 - Introduction
- Activity: Mathcad Regions (regions.mcd)
- Activity: Mathcad Basics (basics.mcd)

ch_1.pdf [234 KB]

Chapter 1 - Limits
- Activity: Limits

ch_2.pdf [319 KB]

Chapter 2 - Differentiation
- Activity: The Derivative
- Activity: Introduction to Symbolics (symbolic.mcd)

ch_3-4.pdf [349 KB]

Chapter 3 - Applications of Differentiation
- Activity: Curve Sketching
- Activity: Optimization
Chapter 4 - Integration
- Activity: Riemann Sums and the Fundamental Theorem of Calculus (riemann.mcd)

ch_5.pdf [266 KB]

Chapter 5 - Transcendental Functions
- Activity: Logarithmic and Exponential Functions
- Activity: Symbolic Integration (symbint.mcd)
- Activity: Functions Defined by Integrals

ch_6-7.pdf [350 KB]

Chapter 6 - Applications of Integration
- Activity: Area of a Region Between Two Curves
- Activity: Volume of a Solid of Revolution (diskmet.mcd, diskmet.ms, shellmet.mcd, shellmet.ms)
- Activity: Arc Length (arclen.mcd)
- Activity: Area of a Surface of Revolution (surfrev.mcd, srfrev-a.ms, srfrev-b.ms, srfrev-c.ms)
Chapter 7 - Integration Techniques and Improper Integrals
- Activity: Integration Techniques
- Activity: Improper Integrals

ch_8-9.pdf [302 KB]

Chapter 8 - Infinite Series
- Activity: Sequences
- Activity: Infinite Series (series1.mcd)
Chapter 9 - Conic Sections

ch_10.pdf [314 KB]

Chapter 10 - Plane Curves, Polar Curves
- Activity: Parametric Curves in the Plane (trochoid.ms, hypocycl.ms, ferris.ms)
- Activity: Polar Curves

ch_11-12.pdf [310KB]

Chapter 11 - Vectors and the Geometry of the Space
- Activity: Vectors
- Activity: Lines and Planes (planes1.ms, lines2.ms, planes2.ms)
Chapter 12 - Vector-Valued Functions
- Activity: Vector-Valued Functions (vvfun1.mcd, vvfun2.ms, roller1.ms, roller2.ms, additional files are necessary, but not listed in the text: r04.m, r1.m, roller3.m)

ch_13.pdf [305 KB]

Chapter 13 - Functions of Several Variables
- Activity: Partial Derivatives and Chain Rules
- Activity: Normal Lines, Tangent Planes and Extrema (tanplane.ms, normline.ms, maxmin3d.ms)
Appendix A - Mathcad Summary
Appendix B - Seven Things to Avoid When Working in Mathcad

index.pdf [70K]

Index

Contacting the authors

We can be contacted by

mail


     Przemyslaw Bogacki            Gordon Melrose

       Department of Mathematics and Statistics
               Old Dominion University
              Norfolk, VA 23529, U.S.A.

phone


        757-683-3262                757-683-3888

e-mail


     bogacki@math.odu.edu        melrose@math.odu.edu

We appreciate your feedback!