Interactive Tutorials for MATH 263A,B and MATH 266A,B
The tutorials posted on this web page are intended to facilitate your study of
calculus. They act like an intelligent tutor, giving you feedback along the way.
These tutorials will run only on computers that have MatLab installed, which
includes all dorm computers and most computers in the computer labs across campus.
In order to run a tutorial, do the following:
- Download the tutorial itself, named "***.fig" and the appropriate program file,
named "maketutor.p" to the SAME directory of the computer you are working on.
If you are using Mozilla as I do, this can be accomplished by right-clicking
on the hotlinks and choosing "Save link target as."
On your dorm computer, you may want to create a special directory for this purpose.
In the computer labs in Morton Hall, downloading to the desktop will work
(log in as "student" with no password). In Alden Library, downloading the files to the
directory "Alden pictures" seems to work. (This directory can be found on the
"temporary storage" drive D: on Alden computers.) If you do use a computer other
than your dorm computer, as a courtesy to other students who do not wish to see a
cluttered desktop or directory, please be sure to delete the downloaded files after
you finish working. It is recommended that you delete the files from the recycle bin as well.
When downloading the files, make sure that your computer does not change the file names and
especially the file extensions. Mozilla or Netscape will probably work fine, but Internet Explorer
MAY change the file extensions. If you are afraid that your browser might have changed the file extensions,
and you are using Windows, go to the "Start" menu, "settings" submenu, and open the "control panel."
Click on "Folder options," the "view" tab, and remove the checkmark from "hide extensions for known
file types." This will allow you to manually choose the proper file extensions, such as .p and .fig by
right-clicking on a file name and picking the "rename" option. If you do so with the files you just
downloaded, Windows may give you warning messages, which you can safely ignore for these files
(but don't ignore them for other files on your system!)
- If you are working on a dorm computer which never before has been used for running MatLab, you
need to run the "MathLab installer" first. Instructions on how to do this can be found at
http://www.math.ohiou.edu/courses/matlab/reference/introduction.html.
- Once you have downloaded a tutorial, you can start it by double-clicking on it.
If you downloaded it to a directory other than your desktop, you first have to move to this directory,
starting from the icon "MyComputer" and then following the path (for example: drive D, directory
"temporary storage", subdirectory "Alden pictures") until you see the icon of your tutorial.
Waiting for MatLab to start and then for the actual window with the tutorial to open may require some
time; please be patient.
- Once the tutorial window opens, things should be pretty self-explanatory.
Just remember to enter formulas in MatLab code; for example log(x) for ln x.
Consult the tutorial on "Entering formulas in MatLab" if in doubt.
- Have some scrap paper handy to work out your solutions.
- If you encounter some unexpected problems with downloading and opening the tutorials,
you may ask the author of the tutorials for technical support by writing an e-mail to
"just" at the server "math.ohiou.edu".
Some of these tutorials are long ones. If you want to do a tutorial in several sessions,
simply close it at some convenient point and reopen it later by double-clicking on it. It will open
at the same point where you closed it. If you want to do this on a public computer (for example, in
Alden), you should close the tutorial, save it somewhere (for example to your e-mail account), and then
reopen your own copy of the tutorial rather than downloading a new one from this web site.
Tutorials for MATH 263A and MATH 266A
- maketutor.p MatLab program for running tutorials.
- MLformulas.fig Tutorial on how to enter formulas in MatLab.
Unless you are an experienced user of MatLab, it is highly recommended that you work through this
tutorial before you work through any of the tutorials that teach topics in precalculus and calculus.
- IneqAbs.fig First tutorial on review of precalculus. This tutorial covers
interval notation, equations of lines, and absolute values.
- Lines.fig Second tutorial on review of precalculus. This tutorial covers
equations of straight lines.
- Functions.fig Third tutorial on review of precalculus. This tutorial covers
important material on functions. This tutorial is a long one.
- Limits.fig Tutorial on the concept of limits.
- Continuity.fig Tutorial on the concept of continuity.
- HorAsymp.fig Tutorial on limits at infinity and horizontal asymptotes.
- PowerRule.fig Tutorial on derivatives of polynomials.
- ProdRule.fig Tutorial on the Product and Quotient Rules.
- TrigDerivs.fig Tutorial on derivatives of trig functions.
- ChainRule.fig Tutorial on the Chain Rule. This tutorial is a long one.
- Implicit.fig Tutorial on implicit differentiation.
- InvTrig.fig Tutorial derivatives of inverse trig functions and higher-order derivatives.
- Logarithmic.fig Tutorial on logarithmic differentiation.
- MinMaxIntro.fig Tutorial on introduction to maxima and minima.
This tutorial is a long one.
- GlobalExtr.fig Tutorial on the Extreme Value Theorem and
finding global maxima and global minima.
- FirstDNGraph.fig Tutorial on how the first derivative affects the shape of
a graph. This tutorial is a long one.
- SecondDNGraph.fig Tutorial on how the second derivative affects the shape of
a graph. This tutorial is a long one.
- LHospitalI.fig Tutorial on L'Hospital's Rule, Part I. This tutorial
covers indeterminate forms 0/0 and infinity/infinity.
This tutorial is a long one.
- LHospitalII.fig Tutorial on L'Hospital's Rule, Part II. This tutorial
covers indeterminate forms other than 0/0 and infinity/infinity.
This tutorial is a long one.
- Antider.fig Tutorial on antiderivatives.
Tutorials for MATH 263B and MATH 266B
- maketutor.p MatLab program for running tutorials.
- MLformulas.fig Tutorial on how to enter formulas in MatLab.
Unless you are an experienced user of MatLab, or have already done this one for the
MATH 263A tutorials, it is highly recommended that you work through this
tutorial before you work through any of the tutorials that teach MATH 263B topics.
- GeomInt.fig Tutorial on the geometric
interpretation of integrals.
- FTC.fig Tutorial on Fundamental Theorem of Calculus.
- BasicIntegrals.fig Tutorial on using basic formulas
for evaluating integrals.
- SubstI.fig Tutorial on the Substitution Rule,
Part I (indefinite integrals). This tutorial is a long one.
- SubstII.fig Tutorial on the Substitution Rule,
Part II (definite integrals).
- Solids.fig Tutorial on volumes of solids of revolution. This tutorial is a long one.
This material is not covered in MATH 266B.
- PartsI.fig Part I of tutorial on Integration by parts.
This part covers elementary examples of the technique.
- PartsII.fig Part II of tutorial on Integration by parts.
This part covers some special tricks.
- ParfracI.fig Part I of tutorial on integrating rational
functions. This part covers use of elementary formulas and long division. This tutorial is a long one.
- ParfracII.fig Part II of tutorial on integrating rational
functions. This part covers partial fraction decompositions when the denominator is a product of
linear factors.
- ParfracIII.fig Part III of tutorial on integrating rational
functions. This part covers partial fraction decompositions when the denominator contains an
irreducible factor.
- ApproxInt.fig Tutorial on approximate
integration. This material is not covered in MATH 266B.
- ImpI.fig Part I of tutorial on improper integrals.
This part covers improper integrals with infinite limits of integration. This tutorial is a long one.
- ImpII.fig Part II of tutorial on improper integrals.
This part covers improper integrals with finite limits of integration. This tutorial is a long one.
- DiffEqInt.fig Tutorial on introduction to differential equations.
This tutorial is a long one.
- SepVar.fig Tutorial on the method of separation of variables.
This tutorial is a long one.
- ExGrowth.fig Tutorial on exponential growth and decay. This material is
covered differently in MATH 266.
Creation of these tutorials was partially supported by a Student Engagement Grant of the
College of Arts and Sciences of Ohio University to the author of these tutorials, Winfried Just.
© 2005 Winfried Just
Last modified September 2, 2006.