Series IIIa and IIIb give you the power to be able to factor and solve polynomials of any degree. Factoring techniques included in this series are: the Difference of Squares, Complex Trinomial Factoring (4-step method), Quadratic Formula including The Discriminant, and Synthetic Division.

In addition to the above, we also do an in-depth discussion of The Division Statement, Polynomial Long Division, look at the graphical meaning of factoring polynomials, use Let Statements and Substitution to factor polynomial and non-polynomial functions, and discuss The Remainder and The Factor Theorems.

Extras included in this series are a look at Why Math is Important and two tips on how to improve your study habits.

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).

I want to address one of the most frequent questions that has come my way over the years, it being: “Why is math important?”

Upon going through countless iterations, the shortest and simplest answer that I can provide to this question, is that math is important because it is a vital step in our evolution. The creation and utilization of this language is the reason why we have been able to evolve to the state that we are in: personally, socially, and culturally.

The prominent theory as to the reasons why written languages came to be is that they were developed for the purposes of accurate bookkeeping, economic necessity, and as a means for us to record important events. In essence, once we had acquired enough knowledge that could not accurately be conveyed verbally, we developed symbols, and later on structured languages, syntax, to record and pass on that information. Mathematics was not only an integral part of this, but also an end product.

At present, mathematics is by far the most efficient language that we have been able to develop to seek and analyze patterns, to optimize our ability to create, and to discuss the laws governing our universe, in the process, helping us answer some of our most fundamental questions. Math is, ultimately, the most concise form of communication we have to understand who we are, where we are, and what we are capable of.

Building Gods (Rough Cut)

Without mathematics we would behave and interact with the world in a completely different manner than we do today. The creation of notations and the formalization of algebra paved the way for us to better understand and interact with the world we inhabit.

Math forms the fabric of our current civilization, from economics and politics to what we consume and possess. You don’t believe it? Take a look around you. Aside from the natural ecosystem, almost everything that you see has one thing in common, it was made, raised, grown, or delivered with the use of mathematics as a primary tool. The monitor or piece of paper that you are reading this on, the food you may be consuming, the pictures on your desk, the light in your room, your computer, your clothes, your shoes, your phone, your job, your home, your car and the roads you drive it on, your beverage and the cup you’re drinking it from, all of it, is because of mathematics. Without it, we would not have these luxuries, comforts, freedoms, or the prospect of equality or sustainability.

The Most IMPORTANT Video You'll Ever See (part 1 of 8)

One crucial point to note, literacy in the language of mathematics was not as important in the past as it is today, or as vital as it will be for the future. Technology and the inevitabilities and necessities of life are forcing every aspect of our lives to be optimized, and the best way that we know of to achieve this task is through mathematics.

So why is math important? Because it encompasses every aspect of our lives and without it, we would not be who we are, we will not progress, and we will not realize our full potential, and thus, have no future: personally, socially, or culturally.

Related video:

Why is Math Important? Part 1: Five Reasons Why Math is Important (137)

Reason #1: Life can be brutal. Knowing math may help you out through those moments.

Reason #2: Math can help you be the best at what you want to be the best at.

Reason #3: Willingly being illiterate in the most important language in the world is really stupid.

Reason #4: Knowing math can help you be financially secure.

Reason #5: Being intelligent, in general, makes you attractive.

Since we're on the topic of the "Difference of Squares", I thought it would be worthwhile to use two different methods to delve deeper into the meaning of what it means to solve an equation, both algebraically and graphically.

Difference of Squares: Solving Equations, a Graphical Representation Part 1 (#102)

Difference of Squares: Solving Equations, a Graphical Representation Part 2 (#103)

Difference of Squares: Solving Equations, a Graphical Representation Part 3 (#104)

Lyrics to "El Guillatún" by Horeja, the the track sampled in this video:

English:

Millelche is sad with the tempest
The wheat lies down on the mud
The indians resolve after crying
Talk with Isidro, with God and Saint John
With God and St. John
With God and St. John

The machi walks for the guillatún
Chamal and revoso, trailonco and cultrúm
And even the sick ones of her machitún
Enlarge the rows of that guillatún
Of that guillatún, of that guillatún

The rain that falls and falls again
The indians look at it without knowing what to do
They tear out their hair, they break their feet
Because the harvest is going going to get ruined
It's going to get ruined

The indians gather at a large yard
With the instruments a song broke out
The machi repeats the word sun
And the echo of the field increases her voice
Increases her voice

The king of heavens heard well
Scares away the winds to another region
Undid the clouds and then lied down
The indians cover it with a prayer
With a prayer

The smell of meat and muday can be felt
Cinnamon, orange, bark of quillay
The festival ends with dawn
They saved the chant, the dance and the bread
The dance and the bread, the dance and the bread.

Spanish:

Millelche está triste con el temporal
los trigos se acuestan en este barrial
los indios resuelven después de llorar
hablar con Isidro, con Dios y San Juan.

Camina la machi para el guillatún
chamal y revoso, trailonco y cultrúm,
y hasta los enfermos de su machitún
aumentan las filas de aquel guillatún,
de aquel guillatún, de aquel guillatún.

La lluvia que cae y vuelve a caer
los indios la miran sin hallar qué hacer
se arrancan el pelo, se rompen los pies,
porque las cosechas se van a perder,
se van perder.

Se juntan los indios en una corralón
con los instrumentos rompió una canción,
la machi repite la palabra sol
y el eco del campo le sube la voz, le sube la voz.

El rey de los cielos muy bien escuchó
remonta los vientos para otra región,
deshizo las nubes, después se acostó,
Los indios la cubren con una oración,
con una oración.

Se siente el perfume de carne y muday
canelo, naranjo, corteza e' quillay,
termina la fiesta con el aclarar,
guardaron el canto, el baile y el pan,
el baile y el pan, el baile y el pan.

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.

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. 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.