Series I Description: What's Contained in this Series

The first part of this series deals with the absolute basics of mathematics: the Real Number Set; basic operations; prime numbers and their importance; and how to deal with fractions. This is where it all begins. Please be comfortable with this material before moving on.

The second part of this series deals with basic geometry and trigonometry. Topics discussed include: right triangles and trigonometric ratios; parallel lines; congruent and similar triangles; the Cartesian coordinate system; and slope, midpoint, and distance of a line. We also take a quick look at three different types of proofs related to these topics; those related to triangles, lines, and the Cartesian coordinate system. (NOTE: at some point in the future an in-depth introduction to trigonometry will be produce.)

In addition to the above, we take a rudimentary look at Zero and Infinity, and Why Two Negatives Make a Positive.

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 I.

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

Formulas and definitions used in this series (Direct link to full album. Four images total).

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

Section 1: Introduction to Series I

- (1): Introduction to Series I

Section 2: The Real Number Set

- (3, 4): The Real Number Set

Section 3: Zero and Infinity

- (5): Zero and Infinity, an Introduction to Limits

Section 4: Basic Operations

- (6): Adding and Subtracting

- (8): Multiplying and Dividing

- (7): Dealing with Negative Numbers

Section 5: Prime Numbers

- (9): Introduction to Prime Numbers

- (10): Finding Prime Factors

Section 6: Fractions

- (11): Reducing Fractions

- (12): Multiplying and Dividing Fractions

- (13): Adding and Subtracting Fractions

Section 7: Trigonometry

- (14): Introduction to Trigonometry and Geometry

- (15, 16, 17): Introduction to Right Triangles and Basic Trigonometric Ratios

- (18, 19): Solving Right Triangles

Section 8: Basic Geometry

- (31): Rules and Relationships between Angles of Parallel Lines

- (20, 21): Congruent and Similar Triangles

Section 9: Coordinate Geometry

- (23): Cartesian Coordinate System, Introduction

- (24): Slope and Midpoint of a Line

- (25): Distance of a Line

Section 10: Proofs

- (26): Introduction to Proofs

- (30): Proofs Involving Triangles

- (27, 28, 29): Proofs Involving a Line

- (32, 33): Coordinate Geometry Proof

Section 11: Why a Negative and a Negative Makes a Positive

- (35): Why Two Negatives Make a Positive

Image of Tree Menu

From Series I Tree Menu - The Language of Mathematics