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Resources for Courses using Mathcad at UW
Courses using Mathcad at UW
Faculty of Applied Health Sciences
Faculty of Arts
- Economics 301 - Microeconomic Theory 2 (Prof. Trien Nguyen)
- Economics 342 - Public Economics: Taxation (Prof. Trien Nguyen)
- See: Mathematics 103 below.
Faculty of Engineering
-
ECE 463 - Design & Applications of Power Electronics Converters
(Prof. Khaled Nigim)
-
Environmental Engineering 321 -
Advanced Mathematics (Mathcad is being considered for adoption.)
-
General Engineering 167 -
Introduction to Methods of Electrical and Computer Engineering
-
Physics 115 -
Mechanics (Coord: Prof. Rohan Jayasundera)
- Mathematics 115 - Linear Algebra in Engineering (Coord: Prof. Peter Wood)
-
Mathematics 218 -
Differential Equations For Engineers (Prof. Kirsten Morris)
-
Management Sciences 607 -
Economic Concepts for Management (Prof. Brian Cozzarin)
- Mechanical Engineering 201 - Advanced Calculus (Prof. Rick Culham & Prof. Pete Teertstra)
- Mechanical Engineering 203 - Ordinary Differential Equations
- Mechanical Engineering 303 - Advanced Engineering Mathematics (Profs. Rob Macdonald & Mike Yovanovich & George Davidson)
- Mechanical Engineering 321 - Kinematics and Dynamics of Machines (Prof. Sanjeev Bedi)
- Mechanical Engineering 353 - Heat Transfer 1 (Prof. John Wright)
- Mechanical Engineering 524 - Advanced Dynamics (Prof. Steve Lambert)
- Mechanical Engineering 559 - Finite Element Methods (Prof. Steve Lambert)
-
Mechanical Engineering 748 - Topics in Surface Modeling
(Prof. Sanjeev Bedi)
-
Mechatronics Engineering 203 - Advanced Calculus
(Prof. Patricia Nieva)
- Systems Design 114 - Linear Algebra (Stephen Birkett; previously Kate Hoye & Prof. Keith Hipel)
- Systems Design 312 - Numerical Methods (Prof. Ponnambalum)
- Systems Design 352 - Introduction to Control Systems (Prof. Heppler)
Faculty of Environmental Studies
Faculty of Mathematics
- Campus Day 2001 - Mathematical Explorations using Mathcad
- Showcase on Learning Technologies in Mathematics 2001
- Mathematics 103 - Algebra For Arts and Social Sciences (Prof. Anna Turner)
- Mathematics 136 - Linear Algebra 1 For Honours Mathematics (Prof. Ross Willard & Prof. Serge D'Alessio)
- Mathematics 237 - Calculus 3 (Prof. Kirsten Morris & Prof. Serge D'Alessio)
- Applied Math 250 - Introduction to Differential Equations (Prof. Conrad Hewitt)
- Statistics 230 - Probability (Prof. Hugh Chipman)
Faculty of Science
- Mathematics 115 - Linear Algebra in Engineering [Also taken in Physics and Chemistry.]
- Mathmatics 128 - Calculus 2 for the Sciences
- Biology 374L - Laboratory for Animal Physiology Norm Scott
- Chemistry 125 - Chemical Reactions, Equilibria and Kinetics
- Chemistry 256 - Introductory Quantum Mechanics Prof. Jim Sloan
- Chemistry 303 - Ionic Equilibria
- Chemistry 350 - Statistical Thermodynamics
- Chemistry 355 - Computational Physical Chemistry
- Chemistry 450
- Chemistry 452 - Special Topics in Physical Chemistry Prof. Marcel Nooijen
- Chemistry 755 - Kinetics and Dynamics
- Physics 252 - Electricity & Magnetism 1 Prof. James Martin
- Physics 252L - Electricity & Magnetism Experiments Prof. Rohan Jayasundera
- Physics 359 - Statistical Mechanics - Prof. Wing-Ki Liu
- Physics 363 - Classical Mechanics 2 Prof. Wing-Ki Liu
Resources for Courses
Mathcad-based books
- Master list: Library at www.Mathcad.com.
- Selected books of interest.
Mathcad Tutorials
| | |On-line Videos
| -- -------------------------------------------------------------------- -->Examples
-
Mechanical Engineering examples,
Prof. J. Alan Adams, U.S. Vaval Academy.
-
Econometrics Lecture Notes,
Prof. Andrew J. Buck, Temple University.
-
Seminar: "Building Thermal Analysis" (Mathcad e-text)
Prof. Andreas Athienitis, Concordia University
- Examples from the December 1998 talk at UW by Prof. Philip Pritchard
of Manhattan College
The Role of Mathcad in Mechanical Engineering Core and Math courses
- Examples from December 1999 talk at McMaster by Colin Campbell of UW on
The Role of Mathcad in Controls Education.
- Damped Oscillator. Good example of
an activity students can work on with the (free) Mathcad web browser helper
Mathcad
Explorer (12MB).
- Internet Growth Model
(mcd and
pdf) based on model and activity
in Journey Through Calculus.
- Area of a Polygon
(mcd) based on article by Joaquin Marin
entitled "Computing Columns, Footings and Gates through Moments of Area",
in Computers & Structures Vol. 18, No. 2, pp. 343-349, 1984.
- Surface Plot from Irregularly-spaced (x,y,z) Data Points
(irregular.mcd) and
(lake3.txt).
- Bezier curve (quadratic example) for: Mathcad 2000, and Mathcad 2001. (The latter uses sliders.)
Presentations
- Using Mathcad in a Teaching Setting (Powerpoint slides from talk April 9, 1998)
- The Role of Mathcad in Engineering Mathematics (vis-a-vis Maple and MATLAB) (Powerpoint slides from talk September 7, 2000) ---- ----------------------------------------------------------------------------------- -->
- Mathcad, MATLAB, Maple @
University of Waterloo
(Powerpoint slides for tour of several European
universities by Colin Campbell in January 2001)
- Considerations when adopting Mathematical software into Undergraduate courses (Powerpoint slides for talk at Maplesoft by Colin Campbell in April 2003.)
Other Resources
- Introduction to MATLAB for Mathcad users (mathcad-matlab.pdf) (6 pages)
- Introduction to Maple for Mathcad users (mathcad-maple.pdf) (5 pages)
- Mathcad Keyboard Shortcuts (shortcuts.pdf) (2 pages)
Last updated Wednesday September 24, 2002 by Colin Campbell, IST.
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Mathcad Resource Center: Mathcad Example Files
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Section
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Matlab Resources: Tutorials and Beyond
Introductions to Matlab
Tutorial Sessions at UBC:These tutorials will discuss why we use Matlab for coursework (and not Java, C, C++, Fortran, Perl, Python, Maple, Mathematica, etc...), how to get started, and where to find resources for further exploration. They are aimed at students who have not previously used Matlab.
Times:
- Wednesday, September 16 2009, 5pm - 7pm, location DMP 101.
Material:
- Slides from the tutorial.
- Example m-files:
- A script: sampleScript.m
- A function: butterfly.m
Alternative Workshop at UBC:
Mathworks (the company that owns Matlab) is holding a longer introductory seminar Thursday September 17, 9:30 - 12:30, as well as an afternoon session on parallel programming in Matlab. To a large extent, the material in my seminar and the Mathworks' seminar are orthogonal: my seminar will focus on why we use Matlab and exactly how to use it in the Computer Science department, while Mathworks will include more depth on the basic language and the many new features of very recent versions. Register for the Mathworks seminar.
From the Mathworks: These resources are from the company that develops and distributes Matlab.
- Getting Started with Matlab, a traditional introductory manual available either in Adobe Acrobat format (pdf), or online as hypertext (look at the top of the left hand frame for a link labelled "Getting Started").
- Click along Tutorials from the Mathworks Academia site.
- A collection
of short demos. Some are text and graphics, and some are Flash
animations with voice-over. Most relevant to beginners who need
Matlab for coursework:
- Help
and Documentation. If you know the name of the command you want
to use, you can get its documentation quickly by typing 'help
' in the command window; for example, to learn about the 'plot' command, type 'help plot'. - Desktop and Command Window. The older, text-only interface to Matlab is equvalent to the Desktop's 'Command Window'. In Unix environments, you can access this older interface by running 'matlab -nojvm' or 'matlab -nodesktop'.
- Algorithm Development. Uses the lane identification example that appears in other demos.
- Publishing and Sharing Results. These techniques may be useful for generating well documented solutions sets for homework assignments.
- Basic Matrix Operations.
- Matrix Manipulation.
- 2-D Plots.
- Images and Matrices.
- Splines in Two Dimensions.
- Numerical Integration of Differential Equations.
- Differential Equations in Matlab.
- Help
and Documentation. If you know the name of the command you want
to use, you can get its documentation quickly by typing 'help
- A collection of lengthy pre-recorded webinars (seminars on the web). You will need to fill out a short form to view these flash animations, but they are available for free.
Other Free Sources: These sources were found using either Google or Matlab Central (see below). While the tutorials cover the basics of working with Matlab, many refer to much older versions of Matlab: The current version on the UBC CPSC machines is 7.6 (R2008a), and these tutorials often refer to versions 5.3 or 6.5. The basic command methods have not changed, but the newer versions have lots of graphical interfaces to make learning easier.
- YAGTOM (Yet Another Guide TO Matlab), a recent (2008) collection of tutorials spanning from basic to advanced topics (by Matthew Dunham and Kevin Murphy from UBC CS).
- Introductory Guide from 1998 but still largely relevant (by Ian Cavers from UBC CS).
- Tutorials at Southern Illinois University. Tutorials 1 and 2 are generally useful. Tutorials 3 and 4 will be relevant to CPSC 302, while tutorial 5 will be relevant to CPSC 303.
- Basic tutorial at University of Florida.
- Matlab Introduction from Rice.
- A tutorial on MEX with lots of comments on how to make the compiling and linking process work. MEX is the programming interface used when you want to connect compiled code (C/C++/Fortran) with Matlab. It is definitely an advanced topic.
Other Sources: These ones will cost you some money. I have not personally tried any of them, so I do not endorse or make any representation about their suitability to your needs.
- chapters.indigo.ca lists over 300 books on Matlab, many of them introductions.
- Amazon.ca lists over 700 books on Matlab, many of them introductions.
- TechnicalMastery.com has a Matlab Mastery I series of self-paced video lessions.
Additional Matlab Resources
- Wikipedia entry on Matlab, including some criticism of the language.
- The complete Matlab documentation, either online in hypertext or in Adobe Acrobat (pdf) format.
- Matlab Central, an open exchange site hosted by the Mathworks for their user community. Contains links and code (and even blogs!) for doing almost anything under the sun using Matlab.
- The Mathworks web site, where you can access all the documentation and products related to Matlab and its sister product Simulink.
- A US federal antitrust case against The Mathworks Inc and Wind River Systems Inc (former maker of a competitor to Matlab called MATRIXx) alleging that Mathworks paid Wind River to eliminate the MATRIXx product. The apparent outcome.
Matlab resource web page
created and maintained by Ian Mitchell
Created 28 August 2006.
Last updated 09 August 2009.
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download books on: Free Mathematics ebooks online |
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Jim Herod's Home Page
James V. Herod, Professor Emeritus
School of Mathematics
Georgia Institute of Technology
Atlanta GA
USmail: P O Box 1038 , Grove Hill,
AL 36451
email: jherod@tds.net
Phone: (251) 275 2244
First note that I have retired.
I no longer maintain an office at Georgia Tech. Look at my address above! I do
answer email. This is the best way to contact me when I am at home. When I
travel, my email is different.
What follows is a collection of things that please me. I list them in no particular order, give a brief description of what they are about, and provide a contact point to access more details.
1. A New Interest: ��It is true that I have published a work of fiction titled Gathering Moss. Publication date was January, 2008. Some of the action in the book takes place on the campus of Georgia Tech, some at the University of Alabama, and some at the University of Montana. There are both science and mathematics in the book. The technical parts are written to be accessible to the general reading public. Is it a surprise that a person who has spent a life in mathematics would write a book of fiction? I say no. One can look at the process of engaging a person in the pleasure of science, mathematics, or fiction as a continuation of the old Southern tradition of story-telling. After all, a good lecture tells a story; and a good story-teller creates the narrative to fit the intended audience.
2. No More Same Old Calculus:
Before I retired, Professor George Cain and I made a common observation:
most students entering Georgia Tech have already had the calculus. Because they
think they already know the calculus, they often fail to note that the college
course expects a deeper understanding of the concepts. Or, the students are
bored because their high school calculus was such a good course. Cain and I
wanted to make the materials fresh and exciting. Our decision was to present
the notions of calculus in a multidimensional setting at the outset. This would
take more time than typical in a second year calculus course because we would
constantly go back to re-look at the one dimensional setting from this
multidimensional perspective. Where could we find a text? Can you guess?
3. Asynchronous Studies in
Undergraduate Partial Differential Equations: Georgia Tech now offers graduate
programs in engineering where the materials stream over the web for students
scattered all over the country. I participated in this program for several
summers after I retired. The last time was during summer, 2006. There were
streaming lectures, class notes, detailed calculations, and a bulletin board
for class discussions. Some of these materials are
accessible from my web site.
4. Notes for a course in Partial Differential Equations: In the Winter of 2003, I was commissioned to write a set of notes for studies in classical linear partial differential equations and to publish these notes on the web site for Maple Waterloo Software, Inc. These notes are available at this site with minor modifications from what appears at the Maple site. The modifications occur as small changes are made to the text or to the models, and as additions are created to amplify these ideas.
5. An Introduction to the
Mathematics of Biology: Unsuspecting students often are surprised that
mathematics could be so important in Biology. Even professionals are likely to
think that the mathematics of biology is statistics. Yes, statistics is important
in biology. There is also modeling. A good mathematical model for a biological
phenomenon can illustrate what is observed in life, can predict outcomes, and
can give directions for biological research. During the years before Professor
Edward Yeargers and I retired, we joined with Professor Ron Shonkwiler in
teaching an undergraduate course in mathematical biology. A text came
out of our joint efforts. You will find that I keep all the Maple syntax current,
as well as provide a list of errors we have
found after printing.
6. Studies in the First Two
Years of Undergraduate Mathematics: As students are introduced to the
concepts of undergraduate mathematics, they often wish to see applications of
the ideas. The models presented in this section have
evolved through teaching, as well as through discussions with faculty at
Georgia Tech and other universities. These studies are made available with the
hope that students will find the models give insight, and that other faculty
will use them in methods which seem appropriate.
7. An Introduction to the
Linear Algebra of Infinite Dimensional Spaces: Graduate students in
Mathematics and in several engineering disciplines include in their studies the
notions of Hilbert Spaces. It was a course that I taught often at Georgia Tech
and, consequently, developed a set of notes. The
notes are pretty compact. They serve as an introduction to studies in more general
infinite dimensional spaces.
8. An Introduction to the Use of Maple for Applications: I am asked fairly often about how to accomplish different type tasks with Maple. I created some materials that can be used to get an introduction to the use of Maple for classroom instruction and for analyzing applications from a variety of sources.
9. First Order Differential Equations with Periodic Forcing Functions: In this Maple worksheet, we consider solutions Y for the differential equation Y '(t) = A Y(t) + F(t). In case A is a number and F is a real valued function, students in an introductory calculus course often can make a solution for the equation. If A is a matrix, students in an introductory ordinary differential equations course likely can formulate a solution if F is vector valued. The interest here is a view for how to handle this problem for A in a class of differential operators. We review all three situations in this expository discussion. Our principal interest is in periodic solutions in case F is periodic. The pleasure is in putting the three settings into one context.
10. MAA Short Course, March 2002: At a joint regional meeting of the American Mathematical Society and the Mathematics Association of America, Professor Ron Shonkwiler, Professor Edward Yeargers, and I presented a short course on An Introduction to the Mathematics of Biology. Notes for the course are posted on this web site.
11. Maple Conference, Summer 2006: The Maple document located at this site was the basis of a presentation at the Maple Conference in July, 2006. The paper was co-authored with Don Jones .� Using the diffusion equation with periodic endpoint boundary conditions, the paper illustrates how to compute both the periodic solution and the particular solution for a partial differential equation with specified initial conditions. With three dimensional graphics and with animations, the coalescence of the particular solution to the periodic solution can be observed. A similar analysis is made for the wave equation with periodic endpoint boundary conditions. Also, techniques are shown for using Maple to compute numerical solutions for these equations.
12. Connections: Often I get email inquiries from both sides of the Atlantic asking from where my family comes. Usually, the author of the message wants to know if we are related. I am fortunate to have several cousins interested in making these connections. I am the second son of Joseph Wheeler Herod.
THIS PAGE IS NOT A PUBLICATION OF THE GEORGIA INSTITUTE OF TECHNOLOGY AND THE GEORGIA INSTITUTE OF TECHNOLOGY HAS NOT EDITED OR EXAMINEDTHE CONTENT. THE AUTHOR OF THE PAGE IS SOLELY RESPONSIBLE FOR THE CONTENT.
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Evans Harrell
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School of Mathematics College of Sciences |
Links and current events
- The home page for Math 6580, Hilbert space, Fall, 2008, is now on line and linked to T-Square.
- My recent publications are available on line, as are a C.V. and publication list.
- My WWW textbook with James Herod, Linear Methods of Applied Mathematics: Orthogonal series, boundary-value problems, and integral operators (which can be used in Math 4582 and 4348 at Georgia Tech).
-
Some on-line lectures
- Sum rules and semiclassical limits for quantum Hamiltonians on surfaces, periodic structures, and graphs, a seminar at the workshop on "Mathematical aspects of quantum transport and applications in nanophysics", Aalborg, Denmark, August, 2009. ( PDF)
- Have you heard what's going round? , a lecture on spectral geometry for graduate students. ( PDF)
- A lecture on trace identities and sharp semiclassical inequalities given at the Erwin Schrödinger Institut in Vienna, 11 May, 2009.
- Lectures given at the CIMPA-UNESCO-MOROCCO School, Riemannian Geometry, pseudo-Riemannian Geometry and Mathematical Physics, Marrakech, Morocco, 19-30 May, 2008:
- Universal patterns in spectra of differential operators
- Two lectures given at the Benin International Conference on Calculus Variations and Operations Research, Ouidah, Benin, 10 and 12 Sept., 2007:
- Sharp geometric bounds for eigenvalues of Schrödinger operators, slides from the talk given at the September, 2006, meeting on Operator Theory in Quantum Physics (OTQP) (PDF).
- Perturbation theory and atomic resonances since Schrödinger's time, slides from the talk given at the March, 2006 Simon Fest (PDF)
- Isoperimetric problems arising in the physics of thin structures , a seminar given at Mississippi State and at Tucson, 2006. ( pdf.)
- The extreme sport of eigenvalue hunting , a lecture for graduate students. (Powerpoint)
- Commutators, eigenvalue gaps, and quantum mechanics on surfaces (Powerpoint or PDF). Colloquium given in Tucson and Tours, 2004.
- Universal spectral bounds for Schrödinger operators on surfaces (Powerpoint or PDF). QMath9, Giens, France, September, 2004.
- Some geometric bounds on eigenvalues of elliptic PDEs (Powerpoint or PDF), Cardiff, Wales, July, 2004.
- The lightest coins and the lightest rollng bearings. Colloquium on convex bodies of constant width.
- Gap estimates for Schrödinger operators depending on curvature, UAB, Birmingham, Alabama, 2002. (Format: PDF)
- A direct proof of a theorem of Blaschke and Lebesgue, seminar, 2002.
- The seminars of the School of Mathematics
Past and ongoing activities, such as courses from previous semesters
- The home page for Math 2401, Vector Calculus, Fall, 2008. which was also accessible through T-Square.
- The course page for Math 2401, Vector Calculus, Fall, 2007.
Other educational links
- The Math Forum, with many resources and links for mathematics classes
- History of Mathematics
- History of Mathematics
- On-line resources for Georgia Tech's calculus classes
- The Georgia Tech library
- The Mathematical Quotations Server
Scientific organizations
- The ArXiv(Open access to electronicpreprints in physics, mathematics, computer science and quantitative biology)
- AAAS, American Association for the Advancement of Science
- AMS, American Mathematical Society
- APS, American Physical Society
- Forum on Physics and Society
- The International Association of Mathematical Physicists
- mp-arc, a preprint archive for mathematical physics
- SIAM, Society for Industrial and Applied Mathematics
Links for Georgia and Georgia Tech
* The Skiles building ( pictures) shows as a rectangle with a hole in it and bears the number 2. To see it in relation to the whole campus, go to "Map Home". My office location is in the southwest corner of the building.
The opinions on this and any of my pages at locations in
math.gatech.edu/~harrell/ or mathphysics.com
are my own, or else satirical, or honest errors. They are not
necessarily those of Georgia Tech, although most of them should be.
As we have been instructed to say:
THIS PAGE IS NOT A PUBLICATION OF THE GEORGIA
INSTITUTE OF TECHNOLOGY AND THE GEORGIA INSTITUTE
OF TECHNOLOGY HAS NOT EDITED OR EXAMINED
THE CONTENT. THE AUTHOR(S) OF THE PAGE ARE SOLELY
RESPONSIBLE FOR THE CONTENT.
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