Math 20
Winter 2012

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We will be adding more material as the course progresses, including both review materials and lectures and sources to help with new material.


CTL Tutoring! There is free tutoring available at the CTL for Math 20. Here is a list of the tutors for our class: Eddy Albarran, Fatema AlGharbi, Johan Bonilla, Margaret Chapman, Pu Char, Amanda Howard, Wich Huen, Sean Park, Gregory Peairs, Kris Sankaran, Noah Sennett, Karen Shen, Joseph Victor, Daniel Vinh, Eric Welder.

Much of this material comes from Khan Academy which hosts no end of short, very helpful lectures. We highly recommend you spend some time looking through their Algebra lectures. We also expect their Calculus lectures will be very helpful throughout the course. They have a very popular sequence hosted at iTunesU. Some sample sessions are given below. You my not need all (or any) of these or you may need more. Try some out and don't hesitat to contact any member of the teaching staff if you have any questions. If you are feeling either bold or highly confused, you can start from the beginning with a very thorough set of diagnostic exercises that can help pinpoint where you should be focusing. Start here (and be patient, it starts with arithmetic and finishes at calculus).


The following is a list of video topics we think will be particularly helpful to Math 19-20-21 students. This list will be updated as the course progresses.

  • Algebra:

    • quadratic inequalities (2 parts)
    • functions (4 parts/)
    • domain of a function
    • rational inequalities (2 parts)
    • function inverses (4 parts)
    • algebraic long division
  • Precalculus:

    • limits: introduction, examples (5 parts)
    • squeeze theorem
    • proof:lim (sin x)/x
    • exponential growth
    • parametric equations
    • logrithmic scale
  • Trigonometry:

    to be continued...
  • Calculus:

    more as they arise...

Fall 2011 -- Department of Mathematics, Stanford University