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Educational Files
A collection of files which can be used to teach concepts, be given as homework, etc. for advanced high school students and college students.
File sizes are listed at the end of file descriptions, along with the version of Mathcad required. Note that older-version files can be read with newer versions of Mathcad and that Mathcad 3.1 files can be read with either the Macintosh or Windows Mathcad 3.1.
You can find Mathcad 7 versions of these files by following this link.
If you are using the MathSoft Mathbrowser, you'll be able to view most of the following Mathcad files directly (up through Mathcad 5.0). If you are using another Web browser, note that links will take you to the ASCII readout of Mathcad files unless you have configured your browser to use Mathcad as a viewer/helper application. For information about how to do this, look here.
If you'd be willing to contribute a document, please send it to appmath@mathsoft.com. Please uuencode any Mathcad file you send (to ensure its integrity). You may alternatively place such files in our /pub/contrib directory via anonymous ftp, making certain you select the binary mode for the transfer.
There are links at the end of this section to some other WWW sites that have suggestions for using calculation tools in the classroom.
The files listed here have not been tested, approved, or in any way endorsed by MathSoft, Inc. or Adept Scientific; and unfortunately, we cannot provide technical support on these files.
Mathematics
- Precalculus: compound interest calculation (
bank.mcd, Mathcad 3.1, 70 kb) - John Goebel
- Algebra: calculation of quantities related to parabolas (parabola.mcd, Mathcad 3.1, 107 kb) - Heidi H. Russell
- Algebra: mystery line (
mystery.mcd, Mathcad 5.0, 23 kb) - Benjamin N. Levy
- Trigonometry: solving triangles (
triangle.mcd, Mathcad 4.0, 7 kb)
- Geometry: drawing n-leaf clovers, spirals, stars and Lissajous figures (draw.mcd, Mathcad 4.0, 21 kb)
- Discrete Math: modeling Boolean algebra (
boolean.mcd, Mathcad 4.0, 7 kb)
- Discrete Math: simultaneous iteration and the spread of an epidemic (simult.mcd, Mathcad 4.0, 7 kb)
- Calculus: Riemann sums (
riemann.mcd, Mathcad 5.0, 23 kb)
- Calculus: introductory examples of Fourier transforms (fourier.mcd, Mathcad 3.1, 8 kb)
- Differential Equations: radioactive decay; solving a separable equation via symbolic integration and series; modeling one-dimensional diffusion (diffeqs.mcd, Mathcad 4.0, 23 kb)
- Complex Variables: conformal linear and nonlinear mappings; evaluating complex contour integrals; visualizing a complex function (cmplxfct.mcd, Mathcad 4.0, 24 kb)
- Probability: plotting histograms of random coin flips (histo.mcd, Mathcad 4.0, 9 kb)
- Statistics: polynomial curvefitting (
curvefit.mcd, Mathcad 4.0, 10 kb; also requires data files
data1.prn and
data2.prn)
- Statistics: analysis of data (
statistc.mcd, Mathcad 3.1, 18 kb) - Scott Van Bramer
- Fractals: self-squared fractal curves (
fractal.mcd, Mathcad 4.0, 10 kb)
- Numerical Analysis: an algorithm for the bisection method showing convergence (bisect.mcd, Mathcad PLUS 6.0, 13 kb) - D. M. Griffin
- Numerical Analysis: an algorithm for the false position method showing convergence (falsep.mcd, Mathcad PLUS 6.0, 15 kb) - D. M. Griffin
Electrical Engineering
- Circuits: solution of a circuit problem (
eeedu.mcd, Mathcad 3.1, 66 kb)
- Circuits: mid-transient switching in an RL circuit (swtchrl.mcd, Mathcad 5.0, 30 kb)
- Circuits: example of Thevenin equivalent circuit (thevenin.mcd, Mathcad 5.0, 10 kb) - Faouzi Amar
- Signals: demonstration of convolution (
convol.mcd, Mathcad 4.0, 10 kb)
- Signals: calculation of quantities related to a graphical waveform (waveform.mcd, Mathcad 4.0, 11 kb)
- Signals: filtering a signal with an FFT (
fftfilt.mcd, Mathcad 4.0, 9 kb)
- Signals: logic and Mathcad (
logic.mcd, Mathcad 5.0, 10 kb) - Faouzi Amar
- Signals: Fourier series (
foursrs.mcd, Mathcad 5.0, 10 kb) - Faouzi Amar
- Electromagnetics: impedance on a transmission line and reflection coefficients (tline.mcd, Mathcad 3.1, 12 kb)
- Electromagnetics: a traveling wave and its properties (waves.mcd, Mathcad 5.0, 20 kb)
- Electromagnetics: various 3D plots of electromagnetic wave problems (elecmag.mcd, Mathcad 5.0, 5 kb)
- Systems Theory: Bode plot for a second-order system (bode.mcd, Mathcad 4.0, 10 kb)
- Systems Theory: symbolic calculation of a damping ratio, given a transfer function (transfer.mcd, Mathcad 4.0, 10 kb)
- Systems Theory: LC Butterworth filter design (
butter.mcd, Mathcad 5.0, 89 kb); also requires three data files:
butterbp.prn,
butterhp.prn, and
butterlp.prn - Faouzi Amar
- Systems Theory: pyramidal horn antenna design (horn.mcd, Mathcad 5.0, 28 kb); also requires data file p
attern.prn - Faouzi Amar
- Systems Theory: numerical inverse laplace transform (ilaplace.mcd, Mathcad 5.0, 32 kb) - Faouzi Amar
Physics
- Mechanics: motion of a projectile (
motion.mcd, Mathcad 4.0, 10 kb)
- Mechanics: calculation of bullet velocity and trajectory (bullet.mcd, Mathcad 3.1, 48 kb) - D. M. Griffin
- Mechanics: relationship of kinetic and potential energy (energy.mcd, Mathcad 3.1, 50 kb) - Basile Panoutsopoulos
- Mechanics: wind force on a sailboat mast as a function of height (sailboat.mcd, Mathcad 5.0, 175 kb) - D. M. Griffin
- Mechanics: work, force and acceleration of a system (work.mcd, Mathcad 5.0, 97 kb) - Todd Wayman
- Mechanics: analysis of automobile braking (
brake.mcd, Mathcad 4.0, 8 kb)
- Mechanics: an exploding shell problem (
ex-shell.mcd, Mathcad 5.0, 18 kb)
- Mechanics: an exploding shell - with animation (ex-shlla.mcd, Mathcad 6.0, 21 kb)
- Thermodynamics: heat transfer for a flat wall with two layers (heattran.mcd, Mathcad 4.0, 12 kb)
- Optics: calculation of Brewster's angle, total internal reflection, etc. (opticang.mcd, Mathcad 5.0, 20 kb)
Chemistry
- Strong acid calculations (
acid_1.mcd, Mathcad 3.1, 5 kb) - Scott Van Bramer
- Strong base calculations (
acid_2.mcd, Mathcad 3.1, 5 kb) - Scott Van Bramer
- Weak acid calculations (
acid_3.mcd, Mathcad 3.1, 6 kb) - Scott Van Bramer
- Conjugate base calculations (
acid_4.mcd, Mathcad 3.1, 8 kb) - Scott Van Bramer
- Buffer calculations (
acid_5.mcd, Mathcad 3.1, 9 kb) - Scott Van Bramer
- Titration of a strong acid with a strong base (titrate1.mcd, Mathcad 3.1, 39 kb) - Scott Van Bramer
- Titration of a weak acid with a strong base (
titrate2.mcd, Mathcad 3.1, 38 kb) - Scott Van Bramer
In addition to the few files we've provided here, there are an enormous number of
Mathcad files available for teaching college-level physics available at New
Mexico State University's ftp site. You'll find a variety of Mathcad files for
different areas of physics and different versions of Mathcad.
There are a number of books in print which teach various subjects, and include
Mathcad files on disk along with the book. For a list of these, look here.
Check out the page on using Fractals to teach high school mathematics concepts
at the National Center for Supercomputing Applications. You can use the NCSA's
tools if you have an X-terminal, or you could use Mathcad to generate the fractal
pictures.
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