Parent Functions Review - I have mentioned several times in class that knowing the general behavior of a few basic functions is key to being successful in calculus.  This document illustrates the most common parent functions, and many students like to print this off and keep it in their notebooks for quick reference.

 

Function Transformations - This is the summary handout of how various constants affect a given function, namely translations, reflections, and dilations.  If you would like a little more detail, check out this site from Hofstra University - it provides information and practice on function transformations.

 

Limit Introduction - Here is a worksheet that summarizes the numerical and graphical approaches to evaluating limits.  I think the extra practice makes for a good review on the topic.  Here are my solutions.

 

Continuity Introduction - This version of the worksheet given in class provides some answers and a few other details (including some terminology).  Here's a blank copy of the handout.

 

Numerical Derivative Introduction - This document introduces how to find numerical derivatives analytically, graphically, numerically, and using the calculator.  There is one example worked out using each of the four methods.

 

Definition of the Derivative Practice - Here is a worksheet that blends together some of the topics discussed involving the limit definitions for numerical and function derivatives.  Here are my solutions.

 

Derivative Review - This is just a summary of the common derivative rules and patterns used in this course.

 

Curve Sketching Summary - I put this together rather hurriedly (that's code for let me know if you see something wrong), but it should help with all of those graph behavior problems.

 

Integral Review - Big surprise... this is a summary of the common integral rules and patterns used in this course.

 

Integration by Parts - Here's a little document demonstrating the "table technique" for evaluating certain integrals that require integration by parts.