Intro to Calculus (Q Center Material)

Estimating the slope of a function at a point
The concept of a limit
The definition of the derivative of a function
The general power rule (with a proof for the positive integers)
What is the general antiderivative of f(x) = 1/x?
The derivative of ex
The connection between antidifferentiation and the area under a curve 

Online Material

  • Kahn Academy offers video-instruction (on digital blackboard with voice-over) in eight areas in mathematics. There is extensive coverage of Calculus from beginning through multivariable calculus.

  • MIT’s Open Courseware offers videotaped lectures (with captions), lecture-notes, problems, tests, and problem-solutions for many, many mathematics-courses—perhaps every mathematics-course offered at MIT.  Only a select few at the introductory level have been videotaped (e.g., multivariable calculus), but the notes and problems are a great resource whether video is available or not.  There are free calculus-textbooks available, too; students seeking a different perspective or treatment of a particular topic might appreciate these resources.