BC Calculus at IMSA

Note: We're redoing our web site, so these pages do not yet link to the rest of our web site. That will be changing soon. Thanks for your patience.

Here at IMSA, we use the text Calculus from Graphical, Numerical, and Symbolic Points of View, 2nd edition, by Arnold Ostebee and Paul Zorn. We've been using the text since the fall of 1995, I think, in one edition or another. The text has served us well.

At IMSA, we also believe that it is very important to have the students working together to share ideas and approaches. We see the teacher as a guide rather than a lecturer. To this end, we have created a lot of worksheets to supplement the book. Some of these merely offer a little more practice on a particular topic. Most are meant to introduce and/or extend an idea. These worksheets are intended to be done (or at least begun) during class. They do not simply hand the concepts and skills to the students, but with other students and with hints from the teacher as necessary, students are able to think through a lot of mathematics. When they do the work, they will understand and remember the concepts more fully. That is, of course, the goal.

SlopefldDots.pdf 89EulerSlope.pdf SlopefldProgram.pdf SlopefldMatch.pdf Slopefld&Solns.pdf	The "Dots" sheet is just that: Dots. For students to draw on. The 89 sheet is a reference for drawing slope fields and doing Euler's Method. The Program sheet contains TI-82-85 programs and instructions. Matching has 6 DE's and 6 slope fields to put together. The Solutions sheet asks students to draw slope fields going through specific points.
L'Hop-adv.pdf	This leads students through using logs before using L'Hôpital's Rule, followed by more problems.
Parametrics1.pdf Parametrics2.pdf	These assume some knowledge of parametrics and touch on vertical and horizontal tangents.
Newton'sMeth.doc	This develops the process of Newton's Method.
EE1.pdf EE2.pdf EE3.pdf	These connect Euler's Method to the Fundamental Theorem of Calculus. Note: Don't use Euler Encore if you haven't already introduced Euler's Method.
Approx1.pdf Riemann82-86.doc Riemann89.doc Approx2.pdf Approx3.pdf	Approximations 1 introduces little rectangles. Programs are available for the TI-82 - 89 calculators. Approximations 2 does more with Riemann sums and looks at under- and over-estimates. Approximations 3 asks students to derive the trapezoidal rule and deals again the under-and over-estimates.
TrigPowers.pdf	This develops processes for dealing with antiderivatives of powers of trigonometric functions.