Friday, February 10, 2012

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

      Section 1: Introduction to Series I
      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

    Series II

      Section 1: Exponents and Radicals
      Section 2: Book Recommendations

    Series IIIa

      Section 1: Summary of Series I and II, and an Introduction to Series IIIa
      Section 2: Black Holes and Elementary Particles
      Section 3: Techniques for Solving Equations
      Section 4: Solving Equations and Checking Solutions, Examples and Methods
      Section 5: Solving Quadratic Equations: Factoring Techniques
      Section 6: Introduction to Polynomial Functions

    Series IIIb

      Section 1: Introduction to Factoring Polynomials
      Section 2: Difference of Squares
      Section 3: Complex Trinomials: Factoring using the 4-Step Method
      Section 4: The Quadratic Formula and The Discriminant
      Section 5: The Let Statement, and Substitution (with Quadratic Formula)
      Section 6: Synthetic Division, Polynomial Long Division, and The Division Statement
      Section 7: The Remainder Theorem and The Factor Theorem
      Section 8: Why Math is Important
      Section 9: Study Tips

    Series IVa

      Section 1: Units and Systems
      Section 2: Ratios and Fractions
      Section 3: Units and Ratios
      Section 4: Unit Conversion

    Series IVb

      Section 1: Infinity (My Two Infinities)
      Section ??: Miscellaneous

    Videos Available for Download

    I. Links

    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 Since videos have gone through an additional edit in the process of putting this site together, they may vary slightly from those in the torrents.

    III. Video Update

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