Prof. Carl Madigan: New Applications
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en-us2017 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemFri, 24 Mar 2017 15:59:36 GMTFri, 24 Mar 2017 15:59:36 GMTNew applications published by Prof. Carl Madiganhttp://www.mapleprimes.com/images/mapleapps.gifProf. Carl Madigan: New Applications
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Differential Equations
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This set of class notes were developed over many years of teaching Differential Equations to the Engineering students (and some others) at NSAC. It consists of a table of contents linked to 8 other worksheets (cpt 1 notes - cpt 8 notes). The topics are those found in a standard Introduction to Differential Equations course starting with an Introduction through to Fourier Series Methods. These notes are also accompanied by a solutions manual for the exercises found in the various sections of the notes.
I hope they will be as useful for you and your students as they have been for mine.<img src="/view.aspx?si=6536/Untitled-1.jpg" alt="Differential Equations" align="left"/>This set of class notes were developed over many years of teaching Differential Equations to the Engineering students (and some others) at NSAC. It consists of a table of contents linked to 8 other worksheets (cpt 1 notes - cpt 8 notes). The topics are those found in a standard Introduction to Differential Equations course starting with an Introduction through to Fourier Series Methods. These notes are also accompanied by a solutions manual for the exercises found in the various sections of the notes.
I hope they will be as useful for you and your students as they have been for mine.6536Thu, 07 Aug 2008 00:00:00 ZProf. Carl MadiganProf. Carl MadiganMultivariable Calculus
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This is a set of notes to accompany a course in multivariable calculus that have been developed over several years of teaching this subject.
The solution manual for these notes are available in the zip file that can be downloaded.<img src="/view.aspx?si=5241/thumb.jpg" alt="Multivariable Calculus" align="left"/>This is a set of notes to accompany a course in multivariable calculus that have been developed over several years of teaching this subject.
The solution manual for these notes are available in the zip file that can be downloaded.5241Mon, 01 Oct 2007 00:00:00 ZProf. Carl MadiganProf. Carl MadiganSeries Solutions to Differential Equations
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Solving linear differential equations with constant coefficients reduces to an algebraic problem. There is no similar procedure for solving linear differential equations with variable coefficients. With the exception of special types, such as the Cauchy equations, these will generally require the use of the power series techniques for a solution.<img src="/view.aspx?si=4966/seriessoln-07_240.jpg" alt="Series Solutions to Differential Equations" align="left"/>Solving linear differential equations with constant coefficients reduces to an algebraic problem. There is no similar procedure for solving linear differential equations with variable coefficients. With the exception of special types, such as the Cauchy equations, these will generally require the use of the power series techniques for a solution.4966Wed, 23 May 2007 00:00:00 ZProf. Carl MadiganProf. Carl MadiganThe Spring Pendulum
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The motion of a pendulum attached to a spring is one of a series of a challenging problems used for students in an introductory differential equations course.They need to describe the motion using a pair of second order differential equations involving the motion of both a spring and a pendulum. Using the numeric solver they can then plot the position vs time.<img src="/view.aspx?si=4897/SpringPendulum_99.jpg" alt="The Spring Pendulum" align="left"/>The motion of a pendulum attached to a spring is one of a series of a challenging problems used for students in an introductory differential equations course.They need to describe the motion using a pair of second order differential equations involving the motion of both a spring and a pendulum. Using the numeric solver they can then plot the position vs time.4897Mon, 16 Apr 2007 00:00:00 ZProf. Carl MadiganProf. Carl MadiganPendulum with a moving pivot
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The motion of a pendulum while allowing the pivot to move is a challenging problem for students in an introductory differential equations course.They need to describe the motion using a second order differential equation that will involve variable coefficients. Using the numeric solver they can then plot the position vs time.<img src="/view.aspx?si=4888/thumb.gif" alt="Pendulum with a moving pivot" align="left"/>The motion of a pendulum while allowing the pivot to move is a challenging problem for students in an introductory differential equations course.They need to describe the motion using a second order differential equation that will involve variable coefficients. Using the numeric solver they can then plot the position vs time.4888Tue, 27 Mar 2007 00:00:00 ZProf. Carl MadiganProf. Carl MadiganDouble Pendulum
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<p>The motion of two connected pendulums swinging together is a challenging problem for students in an intoductory differential equations course. It challenges them to describe the motion by a pair of second order differential equations using the pendulums' angles of deflection over time.</p><img src="/view.aspx?si=4873/thumb.gif" alt="Double Pendulum" align="left"/><p>The motion of two connected pendulums swinging together is a challenging problem for students in an intoductory differential equations course. It challenges them to describe the motion by a pair of second order differential equations using the pendulums' angles of deflection over time.</p>4873Mon, 26 Feb 2007 04:00:00 ZProf. Carl MadiganProf. Carl MadiganSolving Differntial Equations using Laplace Transforms
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This worksheet shows how to use the Laplace Transform to solve differential equations. It includes a method to visualize periodic functions and to solve deq's with a periodic driving force.<img src="/view.aspx?si=4842/lp_wksht applic_62.gif" alt="Solving Differntial Equations using Laplace Transforms" align="left"/>This worksheet shows how to use the Laplace Transform to solve differential equations. It includes a method to visualize periodic functions and to solve deq's with a periodic driving force.4842Thu, 09 Nov 2006 00:00:00 ZProf. Carl MadiganProf. Carl Madigan