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These Single Variable Calculus lecture notes cover the methods for changing a function to shift it left, right, up, or down; the ways to stretch or shrink a function by changing the expression used to define it; how to reflect a function across either of the coordinate axes, including definitions for even and odd functions; graphs of the sine, cosine, and tangent functions, including definitions of periodicity and the general sinusoidal wave; and reflecting a graph across the line y=x to create an inverse function.

Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

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

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode


  • Mathematics > General
  • Mathematics > Calculus

Education Levels:

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


MIT AP Calculus AP Calculus math mathematics graphs graphing functions



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