MATH-1400-ES31

Welcome to the home page for section ES31 of MATH-1400 (Applied Calculus) at Southeast Community College in the Summer term of 2015. I am Toby Bartels, the instructor.

Administration

Here are some useful links for the administration of the course:

Contact information (to get in touch with me);
Tutoring information (for outside help);
Grading (how the class is graded);
Schedule (the material that we'll cover);
Downloading help (if you have trouble reading some of the files here);
Your current grade (on Moodle, where you must log in).

Assignments

If you miss a homework assignment, then you can find it here. Eventually some solutions to graded homework may show up here too.

Attendance (taken every day);
Homework (due nearly every day);
Final exam (September 22 Tuesday).

Although only homework and the final exam contribute directly to your grade, attendance is also important.

Resources

The official textbook for the course is the 13th Edition of Calculus for Business, Economics, Life Sciences, and Social Sciences written by Barnett et al and published by Prentice Hall (Pearson). You should be able to get this at the bookstore, and most homework problems will come from it. If you pay for it, you can also use MyMathLab integrated into the Moodle course; this is optional.

However, I plan to approach the basic concepts of calculus using infinitesimal differentials, because this is easier and closer to the way calculus is actually used, compared to the approach taken by the textbook (which is based on limits). A nice textbook that takes the same approach as I do is Calculus Made Easy (Silvanus Thompson, 1910), which you can read free online (although the language is a bit old-fashioned and British).

I also have some lecture notes, hand-outs, links, and so forth. If you missed class, then you might be able to find a substitute here. But there is no guarantee that everything will show up!

Official college syllabus: DjVu format, PDF format.
Introduction (from July 14 Tuesday).
Summary of differential calculus (handed out on July 21 Tuesday): DjVu format, PDF format.
Rules of differentiation (handed out on July 28 Tuesday): DjVu format, PDF format.
Limits (from August 6&11).
Optimization (from August 13 Thursday).
Exponents and logarithms (from September 1 Tuesday).
Integrals (handed out on September 8 Tuesday): DjVu format, PDF format.
Here are some links to computer algebra systems that will do integrals (as well as much more):
- GeoGebra (free to install permanently, free to use online);
- Sage (free to install permanently, free to use online with an account);
- Maxima (free to install permanently);
- Maple ($99 or more to install permanently);
- Wolfram Mathematica (from $10 per month for online access to $140 to install permanently);
- Wolfram Mathematica Online Integrator (free to use online with no account, indefinite integrals only);
- Wolfram Alpha (free for some uses online with no account, $2.99 for a smartphone app with some advanced features, or $4.75 or more per month for an online account with all features).

That's it!

This web page and the files linked from it (except for the official college syllabus) were written between 2003 and 2015 by Toby Bartels, last edited on 2015 September 12. Toby reserves no legal rights to them.

The permanent URI of this web page is https://tobybartels.name/MATH-1400/2015SU/.