Type:

Unit

Description:

We have selected relevant material from MIT's introductory courses to support students as they study and educators as they teach the AP® Calculus curriculum. These do not comprise a full course of study but offer material to supplement the understanding of the AP Calculus curriculum.

Derivative as a Function covers the topics of analysis of curves; applications of derivatives, optimization: absolute & relative extrema; modeling rates of change; implicit differentiation & derivatives of inverse functions; derivative as a rate of change; geometric interpretation of differential equations; and L'Hospital's Rule using a mixture of lecture notes, practice problems, exam questions, textbook chapters, and java applets.


Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Daniel J. Kleitman, 18.013A Calculus with Applications, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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Subjects:

  • Mathematics > General
  • Mathematics > Calculus

Education Levels:

  • Grade 9
  • Grade 10
  • Grade 11
  • Grade 12

Keywords:

MIT AP Calculus AP Calculus math mathematics curves derivatives absolute extrema relative extrema rates of change differentiation inverse functions geometry L’Hospital’s Rule

Language:

English

Access Privileges:

Public - Available to anyone

License Deed:

Creative Commons Attribution Non-Commercial Share Alike

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