Gregory Moore: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=151
en-us2021 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemTue, 18 May 2021 21:11:46 GMTTue, 18 May 2021 21:11:46 GMTNew applications published by Gregory Moorehttps://www.maplesoft.com/images/Application_center_hp.jpgGregory Moore: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=151
Trigonometry: Complete Set of Lessons
https://www.maplesoft.com/applications/view.aspx?SID=1411&ref=Feed
This is a set of 11 Maple lessons for high school Trigonometry, developed by Gregory Moore of Orange Coast College. The lessons can also supplement a course in Precalculus or Calculus.
They are designed so you can present each topic as you would during a normal lecture but using Maple as the main presentation tool. The students do not have to understand Maple syntax to benefit from the lessons.
With these Maple lessons, you can carry a topic far beyond what is possible on the blackboard. You can generate a new example or diagram instantly just by changing a few values in the worksheet.
You can show more interesting examples than you could on the board, where the examples always had to be planned to work out "nice". Maple computes the dirty work, so the class can focus on the thinking steps.<img src="https://www.maplesoft.com/view.aspx?si=1411/trig_logo.gif" alt="Trigonometry: Complete Set of Lessons" style="max-width: 25%;" align="left"/>This is a set of 11 Maple lessons for high school Trigonometry, developed by Gregory Moore of Orange Coast College. The lessons can also supplement a course in Precalculus or Calculus.
They are designed so you can present each topic as you would during a normal lecture but using Maple as the main presentation tool. The students do not have to understand Maple syntax to benefit from the lessons.
With these Maple lessons, you can carry a topic far beyond what is possible on the blackboard. You can generate a new example or diagram instantly just by changing a few values in the worksheet.
You can show more interesting examples than you could on the board, where the examples always had to be planned to work out "nice". Maple computes the dirty work, so the class can focus on the thinking steps.https://www.maplesoft.com/applications/view.aspx?SID=1411&ref=FeedWed, 01 Oct 2003 00:00:00 ZGregory MooreGregory MoorePrecalculus: Complete Set of Lessons
https://www.maplesoft.com/applications/view.aspx?SID=4731&ref=Feed
This is a set of 17 Maple lessons for high school Precalculus or Elementary Analysis, developed by Gregory Moore of Orange Coast College.
They are designed so you can present each topic as you would during a normal lecture but using Maple as the main presentation tool. The students do not have to understand Maple syntax to benefit from the lessons.
With these Maple lessons, you can carry a topic far beyond what is possible on the blackboard. You can generate a new example or diagram instantly just by changing a few values in the worksheet.
You can show more interesting examples than you could on the board, where the examples always had to be planned to work out "nice". Maple computes the dirty work, so the class can focus on the thinking steps.<img src="https://www.maplesoft.com/view.aspx?si=4731/Precalc.gif" alt="Precalculus: Complete Set of Lessons" style="max-width: 25%;" align="left"/>This is a set of 17 Maple lessons for high school Precalculus or Elementary Analysis, developed by Gregory Moore of Orange Coast College.
They are designed so you can present each topic as you would during a normal lecture but using Maple as the main presentation tool. The students do not have to understand Maple syntax to benefit from the lessons.
With these Maple lessons, you can carry a topic far beyond what is possible on the blackboard. You can generate a new example or diagram instantly just by changing a few values in the worksheet.
You can show more interesting examples than you could on the board, where the examples always had to be planned to work out "nice". Maple computes the dirty work, so the class can focus on the thinking steps.https://www.maplesoft.com/applications/view.aspx?SID=4731&ref=FeedWed, 01 Oct 2003 00:00:00 ZGregory MooreGregory MooreAlgebra I & II: Complete Set of Lessons
https://www.maplesoft.com/applications/view.aspx?SID=4732&ref=Feed
This is a set of 31 Maple lessons for high school Algebra I and Algebra II, developed by Gregory Moore of Orange Coast College.
They are designed so you can present each topic as you would during a normal lecture but using Maple as the main presentation tool. The students do not have to understand Maple syntax to benefit from the lessons.
With these Maple lessons, you can carry a topic far beyond what is possible on the blackboard. You can generate a new example or diagram instantly just by changing a few values in the worksheet.
You can show more interesting examples than you could on the board, where the examples always had to be planned to work out "nice". Maple computes the dirty work, so the class can focus on the thinking steps.<img src="https://www.maplesoft.com/view.aspx?si=4732/algebraHS_logo.gif" alt="Algebra I & II: Complete Set of Lessons" style="max-width: 25%;" align="left"/>This is a set of 31 Maple lessons for high school Algebra I and Algebra II, developed by Gregory Moore of Orange Coast College.
They are designed so you can present each topic as you would during a normal lecture but using Maple as the main presentation tool. The students do not have to understand Maple syntax to benefit from the lessons.
With these Maple lessons, you can carry a topic far beyond what is possible on the blackboard. You can generate a new example or diagram instantly just by changing a few values in the worksheet.
You can show more interesting examples than you could on the board, where the examples always had to be planned to work out "nice". Maple computes the dirty work, so the class can focus on the thinking steps.https://www.maplesoft.com/applications/view.aspx?SID=4732&ref=FeedWed, 01 Oct 2003 00:00:00 ZGregory MooreGregory MooreGeometry: Complete Set of Lessons
https://www.maplesoft.com/applications/view.aspx?SID=4733&ref=Feed
This is a set of 11 Maple lessons for high school Geometry, developed by Gregory Moore of Orange Coast College.
They are designed so you can present each topic as you would during a normal lecture but using Maple as the main presentation tool. The students do not have to understand Maple syntax to benefit from the lessons.
With these Maple lessons, you can carry a topic far beyond what is possible on the blackboard. You can generate a new example or diagram instantly just by changing a few values in the worksheet.
You can show more interesting examples than you could on the board, where the examples always had to be planned to work out "nice". Maple computes the dirty work, so the class can focus on the thinking steps.<img src="https://www.maplesoft.com/view.aspx?si=4733/geometryHS_logo.gif" alt="Geometry: Complete Set of Lessons" style="max-width: 25%;" align="left"/>This is a set of 11 Maple lessons for high school Geometry, developed by Gregory Moore of Orange Coast College.
They are designed so you can present each topic as you would during a normal lecture but using Maple as the main presentation tool. The students do not have to understand Maple syntax to benefit from the lessons.
With these Maple lessons, you can carry a topic far beyond what is possible on the blackboard. You can generate a new example or diagram instantly just by changing a few values in the worksheet.
You can show more interesting examples than you could on the board, where the examples always had to be planned to work out "nice". Maple computes the dirty work, so the class can focus on the thinking steps.https://www.maplesoft.com/applications/view.aspx?SID=4733&ref=FeedWed, 01 Oct 2003 00:00:00 ZGregory MooreGregory MoorePost-Secondary Mathematics Education Pack: Complete Set of Lessons
https://www.maplesoft.com/applications/view.aspx?SID=4739&ref=Feed
This package of Maple classroom modules by Gregory A. Moore of Cerritos College is designed to enliven the teaching of mathematics curricula at the high school, community college and beginning university levels. Each of the 49 worksheets, categorized in 13 self-contained modules, supplements a particular lecture topic. The modules cover the full spectrum of topics required for a ground level competence in mathematics.
Supplementing your lectures with these interactive worksheets will open portals to mathematical learning and insight that are simply not possible with chalk alone. They empower the student to experience the beauty of mathematics with less of the drudgery and fear that accompany pure paper and pencil approaches. All concepts are illustrated both algebraically and with interactive color graphics and animations. Each worksheet is ready to use but can also be easily customized by the instructor.
Mr. Moore's essay "Integrating Maple into the Math Curriculum - A Sensible Guide for Educators" (Linked below as Worksheet Output), will guide you through the incorporation of these Maple modules into your classroom instruction.<img src="https://www.maplesoft.com/view.aspx?si=4739/post_math.gif" alt="Post-Secondary Mathematics Education Pack: Complete Set of Lessons" style="max-width: 25%;" align="left"/>This package of Maple classroom modules by Gregory A. Moore of Cerritos College is designed to enliven the teaching of mathematics curricula at the high school, community college and beginning university levels. Each of the 49 worksheets, categorized in 13 self-contained modules, supplements a particular lecture topic. The modules cover the full spectrum of topics required for a ground level competence in mathematics.
Supplementing your lectures with these interactive worksheets will open portals to mathematical learning and insight that are simply not possible with chalk alone. They empower the student to experience the beauty of mathematics with less of the drudgery and fear that accompany pure paper and pencil approaches. All concepts are illustrated both algebraically and with interactive color graphics and animations. Each worksheet is ready to use but can also be easily customized by the instructor.
Mr. Moore's essay "Integrating Maple into the Math Curriculum - A Sensible Guide for Educators" (Linked below as Worksheet Output), will guide you through the incorporation of these Maple modules into your classroom instruction.https://www.maplesoft.com/applications/view.aspx?SID=4739&ref=FeedWed, 01 Oct 2003 00:00:00 ZGregory MooreGregory MooreHigh School Advanced Topics - Amortizing a Loan
https://www.maplesoft.com/applications/view.aspx?SID=4323&ref=Feed
An Exploration of loan amortization and interest rate affects.
<img src="https://www.maplesoft.com/view.aspx?si=4323//applications/images/app_image_blank_lg.jpg" alt="High School Advanced Topics - Amortizing a Loan" style="max-width: 25%;" align="left"/>An Exploration of loan amortization and interest rate affects.
https://www.maplesoft.com/applications/view.aspx?SID=4323&ref=FeedWed, 09 Oct 2002 16:02:41 ZGregory MooreGregory MooreHigh School Advanced Topics - Modular Arithmetic
https://www.maplesoft.com/applications/view.aspx?SID=4322&ref=Feed
An exploration of modular arithmetic - adding, multiplying, powers, orders, residues.
<img src="https://www.maplesoft.com/view.aspx?si=4322//applications/images/app_image_blank_lg.jpg" alt="High School Advanced Topics - Modular Arithmetic" style="max-width: 25%;" align="left"/>An exploration of modular arithmetic - adding, multiplying, powers, orders, residues.
https://www.maplesoft.com/applications/view.aspx?SID=4322&ref=FeedWed, 09 Oct 2002 11:39:56 ZGregory MooreGregory MooreHigh School Advanced Topics - The Normal Distribution
https://www.maplesoft.com/applications/view.aspx?SID=4321&ref=Feed
The development and use of the normal and standard distributions along with conversions, comparisons, analysis, and plenty of graphics.
<img src="https://www.maplesoft.com/view.aspx?si=4321//applications/images/app_image_blank_lg.jpg" alt="High School Advanced Topics - The Normal Distribution" style="max-width: 25%;" align="left"/>The development and use of the normal and standard distributions along with conversions, comparisons, analysis, and plenty of graphics.
https://www.maplesoft.com/applications/view.aspx?SID=4321&ref=FeedWed, 09 Oct 2002 09:53:21 ZGregory MooreGregory MooreHigh School Advanced Topics - Hypothesis Testing
https://www.maplesoft.com/applications/view.aspx?SID=4320&ref=Feed
An exposition of several variations of hypothesis testing using a visual aids.
<img src="https://www.maplesoft.com/view.aspx?si=4320//applications/images/app_image_blank_lg.jpg" alt="High School Advanced Topics - Hypothesis Testing" style="max-width: 25%;" align="left"/>An exposition of several variations of hypothesis testing using a visual aids.
https://www.maplesoft.com/applications/view.aspx?SID=4320&ref=FeedWed, 09 Oct 2002 09:47:15 ZGregory MooreGregory MooreHigh School Advanced Topics - Confidence Intervals
https://www.maplesoft.com/applications/view.aspx?SID=4319&ref=Feed
An exploration of confidence intervals with particular attention to visualization and computation.
<img src="https://www.maplesoft.com/view.aspx?si=4319//applications/images/app_image_blank_lg.jpg" alt="High School Advanced Topics - Confidence Intervals" style="max-width: 25%;" align="left"/>An exploration of confidence intervals with particular attention to visualization and computation.
https://www.maplesoft.com/applications/view.aspx?SID=4319&ref=FeedTue, 08 Oct 2002 14:21:51 ZGregory MooreGregory MooreHigh School Advanced Topics - The Central Limit Theorem
https://www.maplesoft.com/applications/view.aspx?SID=4318&ref=Feed
An exploration of the underlying concept of the Central Limit Theorem.
<img src="https://www.maplesoft.com/view.aspx?si=4318//applications/images/app_image_blank_lg.jpg" alt="High School Advanced Topics - The Central Limit Theorem" style="max-width: 25%;" align="left"/>An exploration of the underlying concept of the Central Limit Theorem.
https://www.maplesoft.com/applications/view.aspx?SID=4318&ref=FeedTue, 08 Oct 2002 14:13:40 ZGregory MooreGregory MooreHigh School Advanced Topics - The Binomial Distribution
https://www.maplesoft.com/applications/view.aspx?SID=4317&ref=Feed
Exploration of Binomial distribution and binomial distributed probabilities.
<img src="https://www.maplesoft.com/view.aspx?si=4317//applications/images/app_image_blank_lg.jpg" alt="High School Advanced Topics - The Binomial Distribution" style="max-width: 25%;" align="left"/>Exploration of Binomial distribution and binomial distributed probabilities.
https://www.maplesoft.com/applications/view.aspx?SID=4317&ref=FeedTue, 08 Oct 2002 14:03:41 ZGregory MooreGregory MooreChange of Basis
https://www.maplesoft.com/applications/view.aspx?SID=4114&ref=Feed
In this project we will learn how to construct a transition matrix from basis to another. Given two different bases for the same vector space, it is always possible to find a transition matrix which will convert coordinates expressed in terms of one basis into coordinates of the other basis.
<img src="https://www.maplesoft.com/view.aspx?si=4114//applications/images/app_image_blank_lg.jpg" alt="Change of Basis" style="max-width: 25%;" align="left"/>In this project we will learn how to construct a transition matrix from basis to another. Given two different bases for the same vector space, it is always possible to find a transition matrix which will convert coordinates expressed in terms of one basis into coordinates of the other basis.
https://www.maplesoft.com/applications/view.aspx?SID=4114&ref=FeedFri, 17 Aug 2001 14:01:04 ZGregory MooreGregory MooreMatrix methods for solving linear systems of equations
https://www.maplesoft.com/applications/view.aspx?SID=4113&ref=Feed
This module provides a whirlwind three days and two nights tour of most of the basic linear algebra methods including matrix methods of solving linear systems and matrix algebra. We will see the sights of how Maple can automatically solve both linear systems and matrix systems. And also see how we can perform some of the main techniques using Maple step by step.
<img src="https://www.maplesoft.com/view.aspx?si=4113//applications/images/app_image_blank_lg.jpg" alt="Matrix methods for solving linear systems of equations" style="max-width: 25%;" align="left"/>This module provides a whirlwind three days and two nights tour of most of the basic linear algebra methods including matrix methods of solving linear systems and matrix algebra. We will see the sights of how Maple can automatically solve both linear systems and matrix systems. And also see how we can perform some of the main techniques using Maple step by step.
https://www.maplesoft.com/applications/view.aspx?SID=4113&ref=FeedFri, 17 Aug 2001 13:59:52 ZGregory MooreGregory MooreVector products & properties
https://www.maplesoft.com/applications/view.aspx?SID=4112&ref=Feed
none<img src="https://www.maplesoft.com/view.aspx?si=4112//applications/images/app_image_blank_lg.jpg" alt="Vector products & properties " style="max-width: 25%;" align="left"/>nonehttps://www.maplesoft.com/applications/view.aspx?SID=4112&ref=FeedFri, 17 Aug 2001 13:57:52 ZGregory MooreGregory MooreVectors
https://www.maplesoft.com/applications/view.aspx?SID=4111&ref=Feed
In this project we will learn how to define and use vectors. We will also investigate the properties of vectors and vector operations from a numeric and geometric viewpoint. <img src="https://www.maplesoft.com/view.aspx?si=4111//applications/images/app_image_blank_lg.jpg" alt="Vectors" style="max-width: 25%;" align="left"/>In this project we will learn how to define and use vectors. We will also investigate the properties of vectors and vector operations from a numeric and geometric viewpoint. https://www.maplesoft.com/applications/view.aspx?SID=4111&ref=FeedFri, 17 Aug 2001 13:56:19 ZGregory MooreGregory MooreRunge-Kutta method
https://www.maplesoft.com/applications/view.aspx?SID=4107&ref=Feed
There are a number of improvements which can be made to this scheme. One of the best is the Runge-Kutta method which collects additional information about the trends of the slope to get a much better solution. In particular, the slope is computed not just at left endpoint of each subinterval, but also at the midpoint of the interval using various linear extensions, and then the four slopes computed are condensed into a single value using a weighted average. <img src="https://www.maplesoft.com/view.aspx?si=4107//applications/images/app_image_blank_lg.jpg" alt="Runge-Kutta method" style="max-width: 25%;" align="left"/>There are a number of improvements which can be made to this scheme. One of the best is the Runge-Kutta method which collects additional information about the trends of the slope to get a much better solution. In particular, the slope is computed not just at left endpoint of each subinterval, but also at the midpoint of the interval using various linear extensions, and then the four slopes computed are condensed into a single value using a weighted average. https://www.maplesoft.com/applications/view.aspx?SID=4107&ref=FeedFri, 17 Aug 2001 13:48:25 ZGregory MooreGregory MooreConstructing numerical solutions to differential equations
https://www.maplesoft.com/applications/view.aspx?SID=4105&ref=Feed
Explicit solutions to many differential equations are not possible.In this project we will learn how construct approximate solutions using special plots, animations, numeric tables, and then improve on the idea using the Runge-Kutta method. <img src="https://www.maplesoft.com/view.aspx?si=4105//applications/images/app_image_blank_lg.jpg" alt="Constructing numerical solutions to differential equations" style="max-width: 25%;" align="left"/>Explicit solutions to many differential equations are not possible.In this project we will learn how construct approximate solutions using special plots, animations, numeric tables, and then improve on the idea using the Runge-Kutta method. https://www.maplesoft.com/applications/view.aspx?SID=4105&ref=FeedFri, 17 Aug 2001 13:46:39 ZGregory MooreGregory MoorePlotting solutions to differential equations
https://www.maplesoft.com/applications/view.aspx?SID=4104&ref=Feed
Consider the solutions to differential equations as paths through direction fields. A solution to a differential equation is a function that satisfies the differential equation. Using a direction field, we can see many possibile solutions. Imagine a river with a current given by the direction field. If a leaf were to fall into the river it would be swept along a path determined by those currents. The curve that the leaf sweeps out corresponds to a solution of the differential equation. However, if the leaf were to have landed in a slightly different location in the river, the path it takes may be quite different.<img src="https://www.maplesoft.com/view.aspx?si=4104/lorenz.gif" alt="Plotting solutions to differential equations" style="max-width: 25%;" align="left"/>Consider the solutions to differential equations as paths through direction fields. A solution to a differential equation is a function that satisfies the differential equation. Using a direction field, we can see many possibile solutions. Imagine a river with a current given by the direction field. If a leaf were to fall into the river it would be swept along a path determined by those currents. The curve that the leaf sweeps out corresponds to a solution of the differential equation. However, if the leaf were to have landed in a slightly different location in the river, the path it takes may be quite different.https://www.maplesoft.com/applications/view.aspx?SID=4104&ref=FeedFri, 17 Aug 2001 13:43:49 ZGregory MooreGregory MooreDirection fields
https://www.maplesoft.com/applications/view.aspx?SID=4102&ref=Feed
Direction fields offer a visually exciting and thought provoking view of otherwise hard to visualize differential equations. These diagrams would take hours to create by hand but can be created almost instantly using Maple. <img src="https://www.maplesoft.com/view.aspx?si=4102//applications/images/app_image_blank_lg.jpg" alt="Direction fields " style="max-width: 25%;" align="left"/>Direction fields offer a visually exciting and thought provoking view of otherwise hard to visualize differential equations. These diagrams would take hours to create by hand but can be created almost instantly using Maple. https://www.maplesoft.com/applications/view.aspx?SID=4102&ref=FeedFri, 17 Aug 2001 13:42:10 ZGregory MooreGregory Moore