Adding and Subtracting Fractions (The Language of Mathematics I #13)

Table of Contents: The Language of Mathematics

Multiplying and Dividing Fractions (The Language of Mathematics I #12)

Table of Contents: The Language of Mathematics

Reducing Fractions (The Language of Mathematics I #11)

Table of Contents: The Language of Mathematics

Finding Prime Factors (The Language of Mathematics I #10)

Table of Contents: The Language of Mathematics

Introduction to Prime Numbers (The Language of Mathematics I #9)

Table of Contents: The Language of Mathematics

Basic Operations, Dealing with Negative Numbers (The Language of Mathematics I #7)

Table of Contents: The Language of Mathematics

Basic Operations, Multiplying and Dividing (The Language of Mathematics I #8)

Table of Contents: The Language of Mathematics

Basic Operations, Adding and Subtracting (The Language of Mathematics I #6)

Table of Contents: The Language of Mathematics

Zero and Infinity, an Introduction to Limits (The Language of Mathematics I #5)

Table of Contents: The Language of Mathematics

The Real Number Set (The Language of Mathematics I #3-4)

Table of Contents: The Language of Mathematics

The Real Number Set, Part 1 (Math #3)

The Real Number Set, Part 2 (Math #4)

Music by Horeja
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Introduction to Series I (The Language of Mathematics I #1)

Table of Contents: The Language of Mathematics

Series II Description: What's Contained in this Series

This series is all about exponents and radicals: how to add, subtract, multiply, and divide them; how to take a power to a power; and the process involved for simplifying radicals and large expressions.

We also take a detailed look at how exponents and radicals are related to the Real Number Set. Please note that the videos for this part of the series have overlaps. Videos #40 and #41 discuss the importance of the subsets of the Real Number Set and how they translate over to the basic operations for exponents and radicals. The information contained in these two videos is repeated in videos #42-44, with the addition of examples. If you are familiar and comfortable with the basic operations for exponents and radicals, then videos #40 and #41 should suffice. If you would like the information to be presented with examples, then it will be worth your while to view the latter set. See Video #39 for more information on how the material is being presented.

In addition to the above, five book recommendations.

Full list and links for all the videos contained in the series are provided below and are available at: Table of Contents: The Language of Mathematics - Series II.

Exercises and Solutions are also available for this series.

See Videos Available for Download for information on the torrent for this series.

For ease of reference, included below is the Table of Contents and the expanded image of the tree menu provided in the left column of this site. Specific topics can be found through the Index (left column).

Table of Contents

- Series II Description: What's Contained in this Series

Section 1: Exponents and Radicals

- (38, 39): Introduction and Series Layout

- (40, 41): How They Relate to The Real Number Set

- (42, 43, 44): Real Number Set Introduction with Examples

- (45): Rules for Adding and Subtracting Exponents and Radicals

- (46): Rules for Multiplying and Dividing Exponents and Radicals

- (47): Rules for Exponents to Exponents

- (48): Reducing Radicals

- (49): Multiplying Radicals, Example #1

- (50): Adding and Subtracting Radicals, Example #1

- (51): Simplifying Radicals, 3 Examples

- (52, 53, 54, 55): Creating a Large Problem

- (56): Simplifying Large Expressions

Section 2: Book Recommendations

- (57, 58): Book Recommendations

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From Series II Tree Menu - The Language of Mathematics

Book Recommendations (The Language of Mathematics II #57-58)

Table of Contents: The Language of Mathematics

Book Recommendations, Part 1 (Math #57)

Book Recommendations, Part 2 (Math #58)

1. "Calculus with Analytic Geometry" by Howard Anton
2. "Gödel, Escher, Bach: An Eternal Golden Braid " by Douglas R. Hofstadter
3. "God's Equation" by Amir D. Aczel
4. "The Elegant Universe" by Brian Greene
5. "Bone" by Jeff Smith

Exponents and Radicals: Simplifying Large Expressions (The Language of Mathematics II #56)

Table of Contents: The Language of Mathematics

Exponents and Radicals: Creating a Large Problem, Parts 1 to 4 (The Language of Mathematics II #52-54)

Table of Contents: The Language of Mathematics

Creating a Large Problem, Part 1 (Math #52)

Creating a Large Problem, Part 2 (Math #53)

Creating a Large Problem, Part 3 (Math #54)

Creating a Large Problem, Part 4 (Math #55)

Simplifying Radicals, 3 Examples (The Language of Mathematics II #51)

Table of Contents: The Language of Mathematics

Adding and Subtracting Radicals, Example #1 (The Language of Mathematics II #50)

Table of Contents: The Language of Mathematics

Multiplying Radicals, Example #1 (The Language of Mathematics II #49)

Table of Contents: The Language of Mathematics

Reducing Radicals (The Language of Mathematics II #48)

Table of Contents: The Language of Mathematics

Rules for Exponents to Exponents (The Language of Mathematics II #47)

Table of Contents: The Language of Mathematics

Rules for Multiplying and Dividing Exponents and Radicals (The Language of Mathematics II #46)

Table of Contents: The Language of Mathematics

Rules for Adding and Subtracting Exponents and Radicals (The Language of Mathematics II #45)

Table of Contents: The Language of Mathematics

Exponents and Radicals: Real Number Set Introduction with Examples (The Language of Mathematics II #42-44)

Table of Contents: The Language of Mathematics

Real Number Set Introduction with Examples, Part 1 (Math #42)

Real Number Set Introduction with Examples, Part 2 (Math #43)

Real Number Set Introduction with Examples, Part 3 (Math #44)

Music by lazy Marv
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Exponents and Radicals: How They Relate to The Real Number Set (The Language of Mathematics II #40-41)

Table of Contents: The Language of Mathematics

Relation to The Real Number Set, Part 1 (Math #40)

Relation to The Real Number Set, Part 2 (Math #41)

Music by lazy Marv
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Exponents and Radicals: Introduction and Series Layout (The Language of Mathematics II #38-39)

Table of Contents: The Language of Mathematics

Introduction to Exponents and Radicals (Math #38)

Series Layout (Math #39)

Series IIIa Description: What's Contained in this Series

In this series we learn different techniques for solving equations, combine and isolate variables, talk about the equal sign, how to move around an equation, discuss the graphical meaning for solving equations, learn about restrictions, and how we would go about checking solutions.

Also included is an introduction to polynomial equations and functions, a discussion of their classifications, and factoring techniques, beginning with the Greatest Common Factor (GCF) and Simple Trinomial Factoring (Factoring techniques for polynomials is continued in Series IIIb).

In addition to the above, we also take a brief look at the difference between black holes and elementary particles.

Full list and links for all the videos contained in the series are provided below and are available at:Table of Contents: The Language of Mathematics - Series IIIa.

See Videos Available for Download for information on the torrent for this series.

For ease of reference, included below is the Table of Contents and the expanded image of the tree menu provided in the left column of this site. Specific topics can be found through the Index (left column).

Table of Contents

- Series IIIa Description: What's Contained in this Series

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

- (61): Summary of Series I and II, and an Introduction to the Equal Sign

Section 2: Black Holes and Elementary Particles

- (62, 63): The Difference Between Black Holes and Elementary Particles

Section 3: Techniques for Solving Equations

- (64): The Equal Sign: The difference between solving an equation and simplifying an expression: Entering The world of Applied Mathematics

- (65): Solving Equations - Addition and Subtraction

- (67): Solving Equations - Multiplication and Division

- (68): Solving Equations - Exponents and Radicals

- (69): Solving Equations - Cross Multiplication

Section 4: Solving Equations and Checking Solutions, Examples and Methods

- (70, 71): Introduction to Examples and Methods: What are we solving for?

- (72, 73, 74): Solving Equations and Checking Solutions: Example #1

- (75, 76): Solving Equations: Examples #2 and #3: Solving Using Two Methods

- (77): Solving Equations: Four Examples of Simple Equations

- (83): How not to solve an equation: Do not eliminate solutions

- (87, 88): Finding Restrictions for Equations: No Dividing by Zero

Section 5: Solving Quadratic Equations: Factoring Techniques

- (78, 79): Introduction to Quadratic Equations and Functions

- (80, 81, 82): Greatest Common Factor, GCF, Introduction and Examples #1-4: Factoring Part #1-3

- (84): Solving an equation, Graphing the Function: Greatest Common Factor, GCF, Two Examples

- (85, 86): Simple Trinomial Factoring: Introduction and Examples: Factoring Part 4-5

*Factoring polynomials continues in Series IIIb

Section 6: Introduction to Polynomial Functions

- (89, 90, 91): Understanding Polynomials and Defining Terms, Part 1-3: Polynomial Classifications

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From Series IIIa Tree Menu - The Language of Mathematics

Videos Available for Download

1. Links

2. Description

3. Video Update

I. Links

Direct links to torrents on The Pirate Bay (Please note: The Pirate Bay gets taken down a lot by governments so please let me know if the links are dead and I'll fix them, thanks):

• 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. 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

Understanding Polynomials and Defining Terms, Part 1-3: Polynomial Classifications (Language of Mathematics IIIa #89-91)

Table of Contents: The Language of Mathematics

Understanding Polynomials and Defining Terms, Part 1 (Math #89)

Understanding Polynomials and Defining Terms, Part 2 (Math #90)

Understanding Polynomials and Defining Terms, Part 3: Polynomial Classifications (Math #91)

Music by lazy Marv
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Simple Trinomial Factoring: Introduction and Examples: Factoring Part 4-5 (Language of Mathematics IIIa #85-86)

Table of Contents: The Language of Mathematics

Simple Trinomial Factoring Part 1: Introduction and Example (Math #85)

Simple Trinomial Factoring Part 2: Three Examples (Math #86)

Solving an Equation, Graphing the Function: Greatest Common Factor, GCF, Two Examples (Language of Mathematics IIIa #84)

Table of Contents: The Language of Mathematics

Greatest Common Factor, GCF, Introduction and Examples #1-4: Factoring P1-3 (Language of Mathematics IIIa #80-82)

Table of Contents: The Language of Mathematics

Greatest Common Factor Part 1: Introduction (Math #80)

Greatest Common Factor Part 2: Three Examples (Math #81)

Greatest Common Factor Part 3: Example #4 (Math #82)

Introduction to Quadratic Equations and Functions (The Language of Mathematics IIIa #78-79)

Table of Contents: The Language of Mathematics

Introduction to Solving Quadratic Equations, Part 1 (Math #78)

Introduction to Solving Quadratic Equations, Part 2 (Math #79)

Music by lazy Marv
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Finding Restrictions for Equations: No Dividing by Zero (The Language of Mathematics IIIa #87-88)

Table of Contents: The Language of Mathematics

Finding Restrictions for Equations, Part 1 (Math #87)

Finding Restrictions for Equations, Part 2 (Math #88)

How not to solve an equation: Do not eliminate solutions (The Language of Mathematics IIIa #83)

Table of Contents: The Language of Mathematics

Solving Equations: Four Examples of Simple Equations (The Language of Mathematics IIIa #77)

Table of Contents: The Language of Mathematics

Solving Equations - Examples #2 and #3: Solving Using Two Methods (The Language of Mathematics IIIa #75-76)

Table of Contents: The Language of Mathematics

Solving Equations: Example 2, Two Methods (Math #75)

Solving Equations: Example 3, Using Two Methods (Math #76)