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## Sunday, January 10, 2010

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)

• # 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

Lesson 2: Multiplying and Dividing

Lesson 3: Dealing with Negative Numbers

Section 5: Prime Numbers

Lesson 1: Understanding Prime Numbers

Lesson 2: Finding Prime Factors

Section 6: Fractions

Lesson 1: Reducing Fractions

Lesson 2: Multiplying and Dividing Fractions

Lesson 3: Adding and Subtracting Fraction

Section 7: Trigonometry

Lesson 1: Introduction to Trigonometry and Geometry

Lesson 2: Understanding Right Triangles

Lesson 3: Solving Right Triangles

Section 8: Basic Geometry

Section 9: Coordinate Geometry

Lesson 1: Cartesian Coordinate System

Lesson 2: Slope and Midpoint of a Line

Lesson 3: Distance of a Line

Section 10: Proofs

Lesson 1: Introductions to Proofs

Lesson 2: Proofs Involving Triangles

Lesson 3: Proofs Involving a Line

Lesson 4: Coordinate Geometry Proof

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

Section 12: Miscellaneous Videos

# Series II

Lesson 1: Introduction and Layout

Lesson 2: Exponents and Radicals with Real Number Set (Introduction)

Lesson 3: Exponents and Radicals with Examples (Introduction)

Lesson 4: Rules for Adding and Subtracting

Lesson 5: Rules for Multiplying and Dividing

Lesson 6: Rules for Exponents to Exponents

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

Lesson 1: The Equal Sign: The difference between solving an equation and simplifying an expression

Lesson 3: Multiplying and Dividing

Lesson 5: Cross Multiplication

Section 4: Solving Equations and Checking Solutions

Lesson 1: Introduction to Examples and Methods

Lesson 2: Examples 1: Solving and Checking

Lesson 3: Examples 2 & 3: Solving Using Two Methods

Lesson 4: Four Examples of Simple Equations

Lesson 5: How not to solve an equation: Do not eliminate solutions

Lesson 6: Finding Restrictions for Equations: No Dividing by Zero

Section 5: Solving Quadratic Equations: Factoring Techniques

Lesson 1: Introduction to Quadratic Equations and Functions

Lesson 2: Factoring: Greatest Common Factor

Lesson 3: Solving and Graphing Solutions: GCF

Lesson 4: Factoring: Simple Trinomial Factoring

Factoring polynomials continues in Series IIIb

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 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

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.