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 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 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

Image of Tree Menu

From Series IIIa Tree Menu - The Language of Mathematics