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

- 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.

**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.

- 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

- 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*)

- Activity: Vector-Valued Functions (vvfun1.mcd,
vvfun2.ms, roller1.ms,
roller2.ms,

- 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**

- 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