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.

Startup1-2.pdf Startup3.pdf	Quick review sheets with absolute value and basic graphs
RateTN.pdf Rate1.pdf Rate2.pdf Rate3.pdf Rate4.pdf	To connect position and velocity graphs, leading to Euler...
Euler1TN.pdf Euler1.pdf Euler2TN.pdf Euler2.doc Euler3TN.pdf Euler3.pdf	A short introduction to Euler's Method - simple cases. "TN" refers to Teacher's Notes. Hint: These could be useful!
LimitsTNintro.pdf Limits1.pdf Limits2.pdf Limits3.pdf Limits4.pdf Limits5TN.pdf Limits5.pdf Limits6.pdf Limits7.pdf	A rather thorough introduction to limits - a sampler. Limits 5 is trig, and expects an introduction before this sheet. Limits 6 and 7 introduce the definition of a limit.
Derivb^x.pdf	Making some sense of the derivative of b^x.
trig(kx).pdf	The derivative of things like y = sin(k x).
Product.pdf TrigDerivs.pdf	Some notes on making sense of the product rule. More practice with trig derivatives and antiderivatives.
ChainM.pdf	Pattern finding for the chain rule. Set for Mathematica.
InvTrigReview.pdf InvTrigPractice.pdf	Some review of inverse trig functions. More practice with inverse trig derivatives.