Prof. Mike May: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=147
en-us2021 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemTue, 13 Apr 2021 13:41:33 GMTTue, 13 Apr 2021 13:41:33 GMTNew applications published by Prof. Mike Mayhttps://www.maplesoft.com/images/Application_center_hp.jpgProf. Mike May: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=147
Calculus III: Complete Set of Lessons
https://www.maplesoft.com/applications/view.aspx?SID=4740&ref=Feed
A collection of 37 worksheets for 3rd semester (multivariable calculus). Developed by Fr. Mike May and Dr. Russell Blyth, St. Louis University. Topics include introductory worksheets, multivariable limits, bivariate Taylor series, Lagrange multipliers, vector and gradient fields, visualizing regions of integration, line and flux integrals.
At Saint Louis University, our Calculus III course is being taught in a computer classroom where the students have access to Maple.
The strategy I have used for bringing Maple into the classroom is to introduce it through carefully designed worksheets, which I use as:
- Lecture aids with the instructor running the worksheet with a projection system.
- Handouts for the students
- Lab assignment that the class will start together as a substitute for a lecture.
- Supplemental homework assignments.
These worksheets include a significant amount of exploratory text and exercises. The exercises ask the student to repeat the examples in the worksheets with minor modification. I do not expect them to produce the code, but rather to copy and modify a code template, focusing on the results of the problems.<img src="https://www.maplesoft.com/view.aspx?si=4740/calcIII.gif" alt="Calculus III: Complete Set of Lessons" style="max-width: 25%;" align="left"/>A collection of 37 worksheets for 3rd semester (multivariable calculus). Developed by Fr. Mike May and Dr. Russell Blyth, St. Louis University. Topics include introductory worksheets, multivariable limits, bivariate Taylor series, Lagrange multipliers, vector and gradient fields, visualizing regions of integration, line and flux integrals.
At Saint Louis University, our Calculus III course is being taught in a computer classroom where the students have access to Maple.
The strategy I have used for bringing Maple into the classroom is to introduce it through carefully designed worksheets, which I use as:
- Lecture aids with the instructor running the worksheet with a projection system.
- Handouts for the students
- Lab assignment that the class will start together as a substitute for a lecture.
- Supplemental homework assignments.
These worksheets include a significant amount of exploratory text and exercises. The exercises ask the student to repeat the examples in the worksheets with minor modification. I do not expect them to produce the code, but rather to copy and modify a code template, focusing on the results of the problems.https://www.maplesoft.com/applications/view.aspx?SID=4740&ref=FeedFri, 29 Dec 2006 00:00:00 ZProf. Michael MayProf. Michael MayLinear Algebra: Complete set of Lessons
https://www.maplesoft.com/applications/view.aspx?SID=4734&ref=Feed
This set of lessons covers a complete undergraduate course in Linear Algebra. Topics include visualizing linear transformations, eigenvalues and eigenvectors and Fourier approximations.<img src="https://www.maplesoft.com/view.aspx?si=4734/Linear_algebra_logo.jpg" alt="Linear Algebra: Complete set of Lessons" style="max-width: 25%;" align="left"/>This set of lessons covers a complete undergraduate course in Linear Algebra. Topics include visualizing linear transformations, eigenvalues and eigenvectors and Fourier approximations.https://www.maplesoft.com/applications/view.aspx?SID=4734&ref=FeedWed, 01 Oct 2003 00:00:00 ZProf. Michael MayProf. Michael MayAbstract Algebra: Complete set of Lessons
https://www.maplesoft.com/applications/view.aspx?SID=4735&ref=Feed
This is a comprehensive set of 16 Maple lessons for an undergraduate course in Abstract Algebra. Each lesson provides exercises to reinforce understanding of each topic.
Prof. Alec Mihailovs of Shepherd College contributed six lessons on group theory, which accompany the book Contemporary Abstract Algebra by J. Gallian, ISBN: 0-618-12214-1
Prof. Mike May of St. Louis University contributed ten lessons on fields, rings and Galois theory, which accompany the book Abstract Algebra, by Dummit and Foote, ISBN 0-13-569302-0<img src="https://www.maplesoft.com/view.aspx?si=4735/abstract_algebralogo.gif" alt="Abstract Algebra: Complete set of Lessons" style="max-width: 25%;" align="left"/>This is a comprehensive set of 16 Maple lessons for an undergraduate course in Abstract Algebra. Each lesson provides exercises to reinforce understanding of each topic.
Prof. Alec Mihailovs of Shepherd College contributed six lessons on group theory, which accompany the book Contemporary Abstract Algebra by J. Gallian, ISBN: 0-618-12214-1
Prof. Mike May of St. Louis University contributed ten lessons on fields, rings and Galois theory, which accompany the book Abstract Algebra, by Dummit and Foote, ISBN 0-13-569302-0https://www.maplesoft.com/applications/view.aspx?SID=4735&ref=FeedWed, 01 Oct 2003 00:00:00 ZProf. Michael MayProf. Michael MayCryptography: Complete Set of Lessons
https://www.maplesoft.com/applications/view.aspx?SID=4737&ref=Feed
This set of 29 worksheets covers several topics presented in an undergraduate course in Cryptography. Each worksheet provides exercises to further assist in understanding the concepts presented. Dr. Mike May of St. Louis University designed these worksheets to loosely follow the text "Introduction to Cryptography with Coding Theory" by Dr. Wade Trappe and Lawrence C. Washington.<img src="https://www.maplesoft.com/view.aspx?si=4737/crypto_logo.jpg" alt="Cryptography: Complete Set of Lessons" style="max-width: 25%;" align="left"/>This set of 29 worksheets covers several topics presented in an undergraduate course in Cryptography. Each worksheet provides exercises to further assist in understanding the concepts presented. Dr. Mike May of St. Louis University designed these worksheets to loosely follow the text "Introduction to Cryptography with Coding Theory" by Dr. Wade Trappe and Lawrence C. Washington.https://www.maplesoft.com/applications/view.aspx?SID=4737&ref=FeedWed, 01 Oct 2003 00:00:00 ZProf. Michael MayProf. Michael MayColor Plate: Function of Two Variables in Cartesian Coordinates
https://www.maplesoft.com/applications/view.aspx?SID=1387&ref=Feed
<img src="https://www.maplesoft.com/view.aspx?si=1387/CartesianCoordinates-thumb.gif" alt="Color Plate: Function of Two Variables in Cartesian Coordinates" style="max-width: 25%;" align="left"/>https://www.maplesoft.com/applications/view.aspx?SID=1387&ref=FeedTue, 21 May 2002 16:05:54 ZProf. Michael MayProf. Michael MayFlux integrals
https://www.maplesoft.com/applications/view.aspx?SID=4017&ref=Feed
The procedure of setting up and evaluating a flux integral through a surface. It is intended as a homework checker.
<img src="https://www.maplesoft.com/view.aspx?si=4017//applications/images/app_image_blank_lg.jpg" alt="Flux integrals " style="max-width: 25%;" align="left"/>The procedure of setting up and evaluating a flux integral through a surface. It is intended as a homework checker.
https://www.maplesoft.com/applications/view.aspx?SID=4017&ref=FeedThu, 02 Aug 2001 13:54:07 ZProf. Michael MayProf. Michael MayLine integrals
https://www.maplesoft.com/applications/view.aspx?SID=4016&ref=Feed
The procedure of setting up and evaluating a line integral along a parameterized curve. It is intended as a homework checker.
<img src="https://www.maplesoft.com/view.aspx?si=4016//applications/images/app_image_blank_lg.jpg" alt="Line integrals" style="max-width: 25%;" align="left"/>The procedure of setting up and evaluating a line integral along a parameterized curve. It is intended as a homework checker.
https://www.maplesoft.com/applications/view.aspx?SID=4016&ref=FeedThu, 02 Aug 2001 13:52:12 ZProf. Michael MayProf. Michael MayFlows in vector fields
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Plotting vector fields and gradient fields in 2 and 3 dimensions<img src="https://www.maplesoft.com/view.aspx?si=4015//applications/images/app_image_blank_lg.jpg" alt="Flows in vector fields " style="max-width: 25%;" align="left"/>Plotting vector fields and gradient fields in 2 and 3 dimensionshttps://www.maplesoft.com/applications/view.aspx?SID=4015&ref=FeedThu, 02 Aug 2001 13:47:13 ZProf. Michael MayProf. Michael MayPlotting vector fields and gradient fields
https://www.maplesoft.com/applications/view.aspx?SID=4014&ref=Feed
Plotting vector fields and gradient fields in 2 and 3 dimensions<img src="https://www.maplesoft.com/view.aspx?si=4014//applications/images/app_image_blank_lg.jpg" alt="Plotting vector fields and gradient fields" style="max-width: 25%;" align="left"/>Plotting vector fields and gradient fields in 2 and 3 dimensionshttps://www.maplesoft.com/applications/view.aspx?SID=4014&ref=FeedThu, 02 Aug 2001 13:44:39 ZProf. Michael MayProf. Michael MayPlanetary motion
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Parameterizing planetary motion under gravity. It solves for planetary motion with a flow line solution of a vector field in 4 dimensions. The orbits of Mars and Halley's comet are studied as examples.
<img src="https://www.maplesoft.com/view.aspx?si=4013//applications/images/app_image_blank_lg.jpg" alt="Planetary motion " style="max-width: 25%;" align="left"/>Parameterizing planetary motion under gravity. It solves for planetary motion with a flow line solution of a vector field in 4 dimensions. The orbits of Mars and Halley's comet are studied as examples.
https://www.maplesoft.com/applications/view.aspx?SID=4013&ref=FeedThu, 02 Aug 2001 13:39:03 ZProf. Michael MayProf. Michael MayParametrizing surfaces
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How to parametrize surfaces. Special attention is given to surfaces of revolution.
<img src="https://www.maplesoft.com/view.aspx?si=4012//applications/images/app_image_blank_lg.jpg" alt="Parametrizing surfaces " style="max-width: 25%;" align="left"/>How to parametrize surfaces. Special attention is given to surfaces of revolution.
https://www.maplesoft.com/applications/view.aspx?SID=4012&ref=FeedThu, 02 Aug 2001 13:36:02 ZProf. Michael MayProf. Michael MayParametric curves in R2 and R3
https://www.maplesoft.com/applications/view.aspx?SID=4011&ref=Feed
Parameterizing curves in R2 and R3
<img src="https://www.maplesoft.com/view.aspx?si=4011//applications/images/app_image_blank_lg.jpg" alt="Parametric curves in R2 and R3" style="max-width: 25%;" align="left"/>Parameterizing curves in R2 and R3
https://www.maplesoft.com/applications/view.aspx?SID=4011&ref=FeedThu, 02 Aug 2001 11:51:48 ZProf. Michael MayProf. Michael MayDouble Integrals in Polar Coordinates
https://www.maplesoft.com/applications/view.aspx?SID=4010&ref=Feed
Looks at setting up integrals in polar coordinates and switching between rectangular and polar coordinates.<img src="https://www.maplesoft.com/view.aspx?si=4010//applications/images/app_image_blank_lg.jpg" alt="Double Integrals in Polar Coordinates" style="max-width: 25%;" align="left"/>Looks at setting up integrals in polar coordinates and switching between rectangular and polar coordinates.https://www.maplesoft.com/applications/view.aspx?SID=4010&ref=FeedThu, 02 Aug 2001 11:48:45 ZProf. Michael MayProf. Michael MayMonte Carlo Integration
https://www.maplesoft.com/applications/view.aspx?SID=4009&ref=Feed
Fast in-class demonstration of the Monte Carlo technique of integration.
<img src="https://www.maplesoft.com/view.aspx?si=4009//applications/images/app_image_blank_lg.jpg" alt="Monte Carlo Integration " style="max-width: 25%;" align="left"/>Fast in-class demonstration of the Monte Carlo technique of integration.
https://www.maplesoft.com/applications/view.aspx?SID=4009&ref=FeedThu, 02 Aug 2001 11:46:51 ZProf. Michael MayProf. Michael MaySetting up triple integrals
https://www.maplesoft.com/applications/view.aspx?SID=4008&ref=Feed
Visualizing limits of integration in Cartesian coordinates in 3 dimensions and in changing the order of integration.
<img src="https://www.maplesoft.com/view.aspx?si=4008//applications/images/app_image_blank_lg.jpg" alt="Setting up triple integrals " style="max-width: 25%;" align="left"/>Visualizing limits of integration in Cartesian coordinates in 3 dimensions and in changing the order of integration.
https://www.maplesoft.com/applications/view.aspx?SID=4008&ref=FeedThu, 02 Aug 2001 11:43:34 ZProf. Michael MayProf. Michael MaySetting up double integrals
https://www.maplesoft.com/applications/view.aspx?SID=4007&ref=Feed
Visualizing limits of integration in Cartesian coordinates in 2 dimensions and in changing the order of integration. <img src="https://www.maplesoft.com/view.aspx?si=4007//applications/images/app_image_blank_lg.jpg" alt="Setting up double integrals " style="max-width: 25%;" align="left"/>Visualizing limits of integration in Cartesian coordinates in 2 dimensions and in changing the order of integration. https://www.maplesoft.com/applications/view.aspx?SID=4007&ref=FeedThu, 02 Aug 2001 11:41:20 ZProf. Michael MayProf. Michael MayDefining double integrals - Riemann Sums
https://www.maplesoft.com/applications/view.aspx?SID=4006&ref=Feed
The Riemann sum definition of double integrals. It follows the usual pattern of the course by reviewing the definitions in the one variable case, then generalizing. <img src="https://www.maplesoft.com/view.aspx?si=4006//applications/images/app_image_blank_lg.jpg" alt="Defining double integrals - Riemann Sums " style="max-width: 25%;" align="left"/>The Riemann sum definition of double integrals. It follows the usual pattern of the course by reviewing the definitions in the one variable case, then generalizing. https://www.maplesoft.com/applications/view.aspx?SID=4006&ref=FeedThu, 02 Aug 2001 11:39:35 ZProf. Michael MayProf. Michael MayPlotting in other coordinate systems
https://www.maplesoft.com/applications/view.aspx?SID=4005&ref=Feed
How to plot in coordinate systems other than Cartesian. It also shows how to combine objects described in different coordinate systems on a single plot.
<img src="https://www.maplesoft.com/view.aspx?si=4005//applications/images/app_image_blank_lg.jpg" alt="Plotting in other coordinate systems " style="max-width: 25%;" align="left"/>How to plot in coordinate systems other than Cartesian. It also shows how to combine objects described in different coordinate systems on a single plot.
https://www.maplesoft.com/applications/view.aspx?SID=4005&ref=FeedThu, 02 Aug 2001 11:36:34 ZProf. Michael MayProf. Michael MayMultiple integrals
https://www.maplesoft.com/applications/view.aspx?SID=4004&ref=Feed
Demonstrates for the students the Maple commands needed to do multiple integration. It seems useful for problems that reduce to "and finish by evaluating the two or three integrals."
<img src="https://www.maplesoft.com/view.aspx?si=4004//applications/images/app_image_blank_lg.jpg" alt="Multiple integrals " style="max-width: 25%;" align="left"/>Demonstrates for the students the Maple commands needed to do multiple integration. It seems useful for problems that reduce to "and finish by evaluating the two or three integrals."
https://www.maplesoft.com/applications/view.aspx?SID=4004&ref=FeedThu, 02 Aug 2001 11:34:29 ZProf. Michael MayProf. Michael MayRotating axes to eliminate a quadratic cross term
https://www.maplesoft.com/applications/view.aspx?SID=4003&ref=Feed
The discriminant test for local extrema of functions in two variables often has the sense of a majic formula to be memorized without understanding. A better context for understanding is given if we review the process of rotation of axes to eliminate the cross term from a quadratic function. (If the cross term is zero, it is clear by inspection if a quadratic function has a minimum, maximum, or saddle point.)
<img src="https://www.maplesoft.com/view.aspx?si=4003//applications/images/app_image_blank_lg.jpg" alt="Rotating axes to eliminate a quadratic cross term " style="max-width: 25%;" align="left"/>The discriminant test for local extrema of functions in two variables often has the sense of a majic formula to be memorized without understanding. A better context for understanding is given if we review the process of rotation of axes to eliminate the cross term from a quadratic function. (If the cross term is zero, it is clear by inspection if a quadratic function has a minimum, maximum, or saddle point.)
https://www.maplesoft.com/applications/view.aspx?SID=4003&ref=FeedThu, 02 Aug 2001 11:29:44 ZProf. Michael MayProf. Michael May