Sunday, January 10, 2010

The Language of Mathematics: Table of Contents

Content on this page is geared towards teaching the syntax of the language of mathematics, the rules and principles that we use in math. See Math in Real Life for a look at how we can use this information to enhance our lives.
  • Series I - Description, Exercises and Solutions.
  • Series II - Description, Exercises and Solutions.
  • Series IIIa - Description
  • Series IIIb - Description
  • Series IVa - done... description coming soon
  • Series IVb (open)
  • Videos Available for Download


  • Series I

    Formulas and definitions used in this series.
    Direct link to full album. Four images total.

    Section 1: Introduction and Instructions


    Section 2: The Real Number Set


    Section 3: Zero and Infinity


    Section 4: Basic Operations


    Section 5: Prime Numbers


    Section 6: Fractions


    Section 7: Trigonometry


    Section 8: Basic Geometry


    Section 9: Coordinate Geometry


    Section 10: Proofs


    Section 11: Why a negative and a negative makes a positive


    Section 12: Miscellaneous Videos


    Series II



    Section 1: Exponents and Radicals


    Section 2: Book Recommendations


    Section 3: Miscellaneous Videos II


    Series IIIa



    Section 1: Summary of Series I and II, and Introduction to Series III


    Section 2: Black Holes and Elementary Particles


    Section 3: Techniques for Solving Equations


    Section 4: Solving Equations and Checking Solutions


    Section 5: Solving Quadratic Equations: Factoring Techniques


    Section 6: Introduction to Polynomial Functions


    Section 7: Miscellaneous


    Series IIIb



    Section 1: Recaps and Introductions





    Section 2: Difference of Squares
      Continues from Section 5 of Series IIIa




    Section 3: Factoring Complex Trinomials using the 4-Step Method


    Section 4: The Quadratic Formula


    Section 5: The Let Statement


    Section 6: Synthetic Division and The Division Statement

    Section 7: The Remainder Theorem and The Factor Theorem


    Section 8: Why Math is Important


    Section 9: Study Tips


    Section 10: Miscellaneous


    Series IVa



    Video: (144): Introduction to Series IV

    Section 1: Units and Systems


    Section 2: Ratios and Fractions


    Section 3: Units and Ratios


    Section 4: Unit Conversion


    Series IVb



    Video: (152): Torrent now available for Series IVa, and an Update

    Video: (153): Recap of Series I, II, IIIa, IIIb, IVa, and a little Math in Real Life

    Section 1: Infinity (My Two Infinities)


    Section ??: Miscellaneous



    Videos Available for Download


    I. Links


    Please note, since The Pirate Bay was taken down it’s become harder to provide constant direct links to the torrents. The torrents are still available, I usually have two computer seeding them, so please look for the torrents on other file sharing sites such as KickassTorrents.

    Hopefully in time we will be able to create a society where we can share content freely without government or corporate interference, until then, happy seeding.




    Direct links to torrents on The Pirate Bay (Please note: The Pirate Bay gets taken down a lot by governments so if the links below don't work please go the "Videos Available for Download" page. It contains the most updated links):
    • Series I: Videos #1 to #35 for The Language of Mathematics, produced in 2007.
    • Series II: Videos #36 to #58 for The Language of Mathematics, produced in 2008.
    • Series IIIa: Videos #61 to #92 for The Language of Mathematics, produced in 2009.
    • Series IIIb: Videos #93 to #142 for The Language of Mathematics, produced in 2010-2011.
    • Series IVa: Videos #143 to #151 for The Language of Mathematics plus some videos for Math in Real Life, produced in 2011-2013.

    II. Description


    At the request of my readers, in 2009 I began to provide torrents for the math videos. The torrents are available through The Pirate Bay and other file sharing networks.

    Downloads are series specific and the files organized based on their video number and/or year, i.e, the order in which the videos were produced. See the table of contents for The Language of Mathematics and Math in Real Life to put things into context.

    Please note that videos from Series I, II, and IIIa are tagged with chycho.com, and those for Series IIIb and Series IVa are tagged with 420math.com.

    III. Video Update