140xDVDRip | WMV, ~1142 kb/s | 720x480 | ~19.5 hours | English: WMA, 96 kb/s (2 ch) | 12.6 GB

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

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

Videos: (5): Zero and Infinity

Section 4: Basic Operations

Lesson 1: Adding and Subtracting

Videos: (6): Adding and Subtracting

Lesson 2: Multiplying and Dividing

Videos: (8): Multiplying and Dividing

Lesson 3: Dealing with Negative Numbers

Videos: (7): Dealing with Negative Numbers

Section 5: Prime Numbers

Lesson 1: Understanding Prime Numbers

Videos: (9): Prime Numbers

Lesson 2: Finding Prime Factors

Videos: (10): Finding Prime Factors

Section 6: Fractions

Lesson 1: Reducing Fractions

Videos: (11): Reducing Fractions

Lesson 2: Multiplying and Dividing Fractions

Videos: (12): Multiply and Divide Fractions

Lesson 3: Adding and Subtracting Fraction

Videos: (13): Adding and Subtracting Fraction

Section 7: Trigonometry

Lesson 1: Introduction to Trigonometry and Geometry

Videos: (14): Introduction to Trigonometry

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

Videos: (18): Solving Right Triangles 1 and (19): Solving Right Triangles 2

Section 8: Basic Geometry

Lesson 1: Parallel Lines

Videos: (31): Parallel Lines

Lesson 2: Congruent and Similar Triangles

Videos: (20): Congruent Similar Triangles 1 and (21): Congruent Similar Triangles 2

Section 9: Coordinate Geometry

Lesson 1: Cartesian Coordinate System

Videos: (23): Cartesian Coordinate System

Lesson 2: Slope and Midpoint of a Line

Videos: (24): Slope and Midpoint of a Line

Lesson 3: Distance of a Line

Videos: (25): Distance of a Line

Section 10: Proofs

Lesson 1: Introductions to Proofs

Videos: (26): Introductions to Proofs

Lesson 2: Proofs Involving Triangles

Videos: (30): 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

Videos: (32): Coordinate Geometry Proof 1 and (33): Coordinate Geometry Proof 2

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

Videos: (35): why 2 negatives make a positive

Section 12: Book Recommendations

Videos: (57): Book Recommendations (Part 1 of 2) and (58): Book Recommendations (Part 2 of 2)

Section 13: 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

Videos: (38): Exponents and Radicals (intro) and (39): Exponents and Radicals Layout

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

Videos: (40): Exponents and Radicals (Real 1 of 2) and (41): Exponents and Radicals (Real 2 of 2)

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

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

Lesson 5: Rules for Multiplying and Dividing

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

Lesson 6: Rules for Exponents to Exponents

Videos: (47): Rules for Exponents to Exponents

Lesson 7: Reducing Radicals

Videos: (48): Reducing Radicals

Lesson 8: Multiplying Radicals Example

Videos: (49): Multiplying Radicals (example 1)

Lesson 9: Adding and Subtracting Radicals Example

Videos: (50): Adding and Subtracting Radicals (example 1)

Lesson 10: Simplifying Radicals Examples

Videos: (51): Simplifying Radicals (3 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

Videos: (56): Simplifying Large Radicals

Series 3a

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

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

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

Videos: (64): The equal sign allows us to enter the world of applied mathematics

Lesson 2: Addition and Subtraction

Videos: (65): Solving Equations - Addition and Subtraction

Lesson 3: Multiplying and Dividing

Videos: (67): Solving Equations - Multiplication and Division

Lesson 4: Exponents and Radicals

Videos: (68): Solving Equations - Exponents and Radicals

Lesson 5: Cross Multiplication

Videos: (69): Solving Equations - 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

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

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

Videos: (83): 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

Videos: (84): Solving and Graphing Equations - Greatest Common Factor (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

Series IIIb

Section 1: Recaps and Introductions

Video: (97): Recap of Series I, II, and IIIa

Video: (98): Introduction to Series IIIb

Video: (105): Why Do We Factor? Introduction to Factoring Polynomials

Video: (122): Factoring Polynomials, a Graphical Representation

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

Video: (142): 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

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