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
- Videos: (1): Introduction and (2): Instructions
Section 2: The Real Number Set
- Videos: (3): The Real Number Set - Part 1, (4): The Real Number Set - Part 2, and (22): Instructions for Exercises - 1
Section 3: Zero and Infinity
- Video: (5): Zero and Infinity
Section 4: Basic Operations
Lesson 1: Adding and Subtracting
- Video: (6): Adding and Subtracting
Lesson 2: Multiplying and Dividing
Lesson 3: Dealing with Negative Numbers
Section 5: Prime Numbers
Lesson 1: Understanding Prime Numbers
- Video: (9): Prime Numbers
Lesson 2: Finding Prime Factors
- Video: (10): Finding Prime Factors
Section 6: Fractions
Lesson 1: Reducing Fractions
- Video: (11): 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
- Videos: (15): Right Triangles Part 1, (16): Right Triangles Part 2, and (17): Right Triangles Part 3
Lesson 3: Solving Right Triangles
Section 8: Basic Geometry
Lesson 1: Parallel Lines
- Video: (31): Parallel Lines
Lesson 2: Congruent and Similar Triangles
Section 9: Coordinate Geometry
Lesson 1: Cartesian Coordinate System
Lesson 2: Slope and Midpoint of a Line
Lesson 3: Distance of a Line
- Video: (25): Distance of a Line
Section 10: Proofs
Lesson 1: Introductions to Proofs
Lesson 2: Proofs Involving Triangles
Lesson 3: Proofs Involving a Line
- Videos: (27): Proofs Involving a Line 1, (28): Proofs Involving a Line 2, and (29): Proofs Involving a Line 3
Lesson 4: Coordinate Geometry Proof
Section 11: Why a negative and a negative makes a positive
Section 12: Miscellaneous Videos
- Videos: (34): Prepping for next set of videos (update 1) and (36): First Series Montage with SPM and (37): Update for Series II (update 2)
Series II
Section 1: Exponents and Radicals
Lesson 1: Introduction and Layout
Lesson 2: Exponents and Radicals with Real Number Set (Introduction)
Lesson 3: Exponents and Radicals with Examples (Introduction)
- Videos: (42): Exponents and Radicals (1 of 3), (43): Exponents and Radicals (2 of 3), and (44): Exponents and Radicals (3 of 3)
Lesson 4: Rules for Adding and Subtracting
Lesson 5: Rules for Multiplying and Dividing
Lesson 6: Rules for Exponents to Exponents
Lesson 7: Reducing Radicals
- Video: (48): Reducing Radicals
Lesson 8: Multiplying Radicals Example
Lesson 9: Adding and Subtracting Radicals Example
Lesson 10: Simplifying Radicals Examples
Lesson 11: Creating Large Radicals
- Videos: (52): Creating a Large Radicals Problem (Part 1 of 4), (53): Creating a Large Radicals Problem (Part 2 of 4), (54): Creating a Large Radicals Problem (Part 3 of 4), and (55): Creating a Large Radicals Problem (Part 4 of 4)
Lesson 12: Simplifying Large 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
- Videos: (62): Black holes and elementary particles (Part 1) and (63): Black holes and elementary particles (Part 2)
Section 3: Techniques for Solving Equations
Lesson 1: The Equal Sign: The difference between solving an equation and simplifying an expression
Lesson 2: Addition and Subtraction
Lesson 3: Multiplying and Dividing
Lesson 4: Exponents and Radicals
Lesson 5: Cross Multiplication
Section 4: Solving Equations and Checking Solutions
Lesson 1: Introduction to Examples and Methods
- Videos: (70): Solving Equations - Introduction to Examples and Methods and (71): Solving Equations - What are we solving for?
Lesson 2: Examples 1: Solving and Checking
- Videos: (72): Solving Equations - Example 1, Part 1 of 3, (73): Solving Equations - Example 1, Part 2 of 3, and (74): Checking the Solution - Example 1, Part 3 of 3
Lesson 3: Examples 2 & 3: Solving Using Two Methods
- Videos: (75): Solving Equations - Example 2, Two Methods and (76): Solving Equations - Example 3, 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
- Videos: (87): Finding Restrictions for Equations - No Dividing by Zero (Part 1) and (88): Finding Restrictions for Equations - No Dividing by Zero (Part 2)
Section 5: Solving Quadratic Equations: Factoring Techniques
Lesson 1: Introduction to Quadratic Equations and Functions
- Videos: (78): Introduction to Solving Quadratic Equations (Part 1) and (79): Introduction to Solving Quadratic Equations (Part 2)
Lesson 2: Factoring: Greatest Common Factor
- Videos: (80): Factoring: Part 1 - Greatest Common Factor (GCF), (81): Factoring: Part 2 - Greatest Common Factor (GCF), and (82): Factoring: Part 3 - Greatest Common Factor (GCF)
Lesson 3: Solving and Graphing Solutions: GCF
Lesson 4: Factoring: Simple Trinomial Factoring
- Videos: (85): Factoring: Part 4 - Simple Trinomial Factoring and (86): Factoring: Part 5 - Three examples of Simple Trinomial Factoring
Factoring polynomials continues in Series IIIb
Section 6: Introduction to Polynomial Functions
- Videos: (89): Understanding Polynomials and Defining Terms (Part 1 of 3), (90): Understanding Polynomials and Defining Terms (Part 2 of 3), and (91): Understanding Polynomials and Defining Terms (Part 3 of 3)
Section 7: Miscellaneous
- Videos: (66): Torrents now available for Series I and Series II, (92): Update October 2009, and (93): Torrents are now available for Series I, II, and III
Series IIIb
Section 1: Recaps and Introductions
Section 2: Difference of Squares
- Continues from Section 5 of Series IIIa
- Lesson 1: Videos: (99): Factoring: Part 6 - Difference of Squares (Part 1) , (100): Factoring: Part 7 - Difference of Squares (Part 2), 6 Examples, and (101): Factoring: Part 8 - Difference of Squares (Part 3), Be Careful With The Following
- Lesson 2: Videos: (102): Difference of Squares: Solving Equations, a Graphical Representation (Part 1) , (103): Difference of Squares: Solving Equations, a Graphical Representation (Part 2), and (104): Difference of Squares: Solving Equations, a Graphical Representation (Part 3)
Section 3: Factoring Complex Trinomials using the 4-Step Method
- Videos: (106): Factoring: Part 9 - Complex Trinomials (Part 1), 4-Step Method , (107): Factoring: Part 10 - Complex Trinomials (Part 2), 4-Step Method, (108): Factoring: Part 11 - Complex Trinomials (Part 3), 4-Step Method - Ex. #2, and (109): Factoring: Part 12 - Complex Trinomials (Part 4), 4-Step Method - Ex. #3
Section 4: The Quadratic Formula
- Videos: (110): Factoring: Part 13 - Quadratic Formula (Part 1): Introduction , (111): Factoring: Part 14 - Quadratic Formula (Part 2): Ex. #1, and (112): Factoring: Part 15 - Quadratic Formula (Part 3): Ex. #2 & #3
Section 5: The Let Statement
- Videos: (113): Factoring: Part 16: Let Statement (Part 1): Substitution , (114): Factoring: Part 17: Let Statement (Part 2): Quadratic Formula, (115): Factoring: Part 18: Let Statement (Part 3): Quadratic Formula,and (116): Factoring: Part 19: Let Statement (Part 4): Quadratic Formula, Checking Solutions
Section 6: Synthetic Division and The Division Statement
Lesson 1: Introduction, Long Division, and The Division Statement
- Videos: (117): Factoring Part 20: Synthetic Division Part 1: Introduction , (118): Factoring Part 21: Synthetic Division Part 2: Long Division, The Division Statement, and (119): Factoring Part 22: Synthetic Division Part 3: The Division Statement
Lesson 2: Polynomial Long Division
- Videos: (120): Factoring Part 23: Synthetic Division Part 4: Polynomial Long Division (Part 1) , (121): Factoring Part 24: Synthetic Division Part 5: Polynomial Long Division (Part 2), (123): Factoring Part 25: Synthetic Division Part 6: Polynomial Long Division (Part 3), and (124): Factoring Part 26: Synthetic Division Part 7: Polynomial Long Division (Part 4)
Lesson 3: Video: (125): The Division Statement, a Graphical Representation
Lesson 4: Synthetic Division
- Videos: (126): Factoring Part 27: Synthetic Division Part 8: Part 1 - When to Use It , (127): Factoring Part 28: Synthetic Division Part 9: Part 2 - Be Careful With the Following, (128): Factoring Part 29: Synthetic Division Part 10: Part 3 - A Simple Example #1, and (129): Factoring Part 30: Synthetic Division Part 11: Part 4 - A Simple Example #2
Lesson 5: Factoring Large Polynomials
- Videos: (130): Factoring Part 31: Synthetic Division Part 12: Part 5 - Introduction to Factoring Large Polynomials , (131): Factoring Part 32: Synthetic Division Part 13: Part 6 - Factoring Large Polynomials, Ex1, (132): Factoring Part 33: Synthetic Division Part 14: Part 7 - Factoring Large Polynomials, 2a, (133): Factoring Part 34: Synthetic Division Part 15: Part 8 - Factoring Large Polynomials, 2b, (134): Factoring Part 35: Synthetic Division Part 16: Part 9 - Factoring Large Polynomials, 3a, and (135): Factoring Part 36: Synthetic Division Part 17: Part 10 - Factoring Large Polynomials, 3b
Section 7: The Remainder Theorem and The Factor Theorem
Section 8: Why Math is Important
- Videos: (137): Why is Math Important? Part 1: Five Reasons Why Math is Important , and (138): Why is Math Important? Part 2: Because it's part of evolution, part of what makes us human
Section 9: Study Tips
- Lesson 1: Videos: (139): How to Study: Introduction , (140): How to Study: Tip #1: Why Are You Here?, and (141): How to Study: Tip #2: Longer is Better (Introduction to Efficiency)
Section 10: Miscellaneous
- Videos: (93): Torrents are now available for Series I, II, and III , (94): Update January 2010: Table of Contents, torrents, and chycho , (95): Update for chycho.com and Language of Mathematics: Introducing "420math" and "Math in Real life" (Part 1), (96): Update for chycho.com and Language of Mathematics: Introducing "420math" and "Math in Real life" (Part 2), and (136): Update for The Language of Mathematics: Series IIIb, Torrents, and Other Content)
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
- Video: (150): Introduction
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
- Video: (#162): How to Study: Tip #6: When Doing Algebra, Recognize the Problem, Remember the Pattern
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.
