Class Supplements Some precalculus materials Algebraic methods for solving equations. Role model functions. How to move/stretch/reflect functions. Inverses. Polynomials and rationals. Powerpoint lessons from Houghton-Mifflin: How to shift/stretch/reflect graphs. Inverse functions. Exponential functions & their graphs. Log functions & their graphs. Extra practice worksheets (strongly recommended) Short notes on Chapter 2 The concept of limit. Summary & worksheet on limits via algebra. Theorems: general note.   The Squeeze Theorem. Some unusual applications of the Intermediate Value Theorem: http://unapologetic.wordpress.com/2008/01/04/stabilizing-your-table-with-the-ivt/   http://en.wikipedia.org/wiki/Intermediate_value_theorem       (see the section "Implications of theorem in real world") Summary of what f ' and f ' ' tell about f(x). Differentiation using shortcuts (Ch. 3) Minimum background items you must know about trig. functions.   Useful applet for understanding sine and cosine graphs.     [From Dr. Laurie Burton's site, Western Oregon University.]   How to solve trig. equations: a good digital lesson from Houghton- Mifflin.   Drill problems on trig. equations from Visual Calculus.   Chain rule and implicit differentiation.   Summary on how to apply the chain rule.   Chain rule worksheet, with answers.   Implicit differentiation practice.   Short notes on Ch. 4 Summary of how to find local vs absolute extremes.   Optimization word problems.   Short notes on Ch. 5 The area problem & the definite integral   Fundamental Theorem's Role in Calculus   Proof strategy for Fundamental Theorem   Back