Projects for Maple Labs

This page is designed for anyone who needs to access the Maple Projects for Calculus Lab courses at Lehman College.

To access a project, you need only click on the project below. Some computers will automatically open Maple and run the project. Otherwise, go up to File in your web browser and select "Save as" then be sure to choose the 3 1/2 inch floppy drive and type a file name that you like. A good name is given in the location http://comet.lehman.cuny.edu/calculus/projects/filename.mws Always end the name with .mws so that Maple will recognize it. Then open your Maple program yourself and open that file from the 3 1/2 inch floppy drive.

To access a project in the Computer Room 207 at Lehman College, you can open Maple by clicking on its icon, then select "open" under "File". Change the drive to "g:", click on the "DATA" folder, and then on your course folder, and then select the project. Or you can click on the student data icon , then select your courses folder, and then choose the appropriate project 155.00.01.mws is the 1st project for MAT 155, 155.00.02.mws is the second project and so on. You can click on the project icon and drag it to the maple leaf icon and it will automatically open.

Calculus I Lab, MAT 155, 1 credit
Prerequisite: MAT 172 Corequisite: MAT 175
Text same as 175: Larson, Hostetler and Evans, Calculus Early Transcendentals, Houghton Mifflin, second edition.
Projects by Prof. Sormani (based on older labs by Prof. Phillips) are available below: just click on the project name and save the file as 155.00.01.mws, 155.00.02.mws ... so that it can be read by the Maple program.

Project I: Intro to Maple
calculations, order of operations, evalf, sqrt, sine, cosine, defining functions, evaluating functions, saving files

Read P1-P3 for homework before doing
Project II: Functions
defining functions, graphing functions with given intervals, graphing lines using the point slope formula, odd and even functions, graphing sine,cosine, radians, cut and paste
Bring a copy of page 19 of the text.

Read Appendix A1, P6 Example 3, and 1.2 An Intro to Limits, Example 1 for homework before doing
Project III: Examining Graphs
creating a file from scratch, factor, solve, fsolve, the number e and (1+x)^(1/x) near x = 0

Read A3, P5 and P6 for homework before doing
Project IV: Inverses and Exponentials
bring page 44 of the text
review and sin(x)/x behavior near 0, using solve to find inverse functions, graphing functions and inverses, exp and ln, arcsin and arccos, using the command index.

Read 1.3 and 1.5 for homework before doing
Project V: Limits and Vertical Asymptotes
limit command, the simplify command, vertical asymptotes, graphing with y bounds, graphing tan(x), x/(x+1),

Read 2.1 pages 109-112 for homework before doing
Project VI: Finding Tangent Lines
Graphing pairs of functions, plotting curves with secant and tangent lines, verifying slopes of sin(x) and exp(x) at x=0, loops

Read 2.1 pages 112-114 for homework before doing
Project VII: Derivatives
Taking derivatives using limits and using D(f), the expand command, and graphing tangent lines and examining them as a linear approximation of functions. Using variables which are words.

read 1.4: The Intermediate Value Theorem and Example 8, and in 2.8: Newton's Method, Example 1, Example 2 and Example 3 for homework before doing
Project VIII: Newton's Method Method of Tabulation, review of loops, clear x, define a review of tan line, while loops

Read 3.1 and 3.3 for homework before doing
Project IX: Increasing and Decreasing
Graph f(x) with D(f)(x) and write comments regarding inc and dec. Find critical points using solve and fsolve. plotting parabolas

Read 3.4 for homework before doing
Project X: Concavity and Inflection
Review of increasing/decreasing, concavity, inflection points, graphing f D(f) D(D(f))

Read 3.6 and 3.7 for homework before doing
Project XI: Graphing and Optimization
Find inflection and critical points, then graph and find absolute max and min

Calculus II Lab, MAT 156, 1 credit
Prerequisite: MAT 175 and MAT 155 Corequisite: MAT 176
Text: Same as in MAT155 above starting Spring 2001.

Uniform labs for MAT156 have not yet been designed. Ask your professor where the labs your class is using can be found.

This page and the projects are maintained by Professor Sormani. Please send comments to calculus@comet.lehman.cuny.edu .