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, and those for Series IIIb and Series IVa are tagged with

    III. Video Update