Posts Tagged ‘calculus’

Integration Using method of Partial Fractions

Tuesday, July 28th, 2009

Integration Using method of Partial Fractions - A complete example! For more free math videos, visit http://JustMathTutoring.com! I have organized links to over 100 FREE math videos made by me!

Duration : 0:9:50

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A Complete Partial Fractions Problem

Sunday, June 21st, 2009

A Complete Partial Fractions Problem! For more free math videos, visit http://JustMathTutoring.com

Duration : 0:6:2

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Algebra: Solving Linear Equations - Part 1: The Basics

Thursday, June 18th, 2009

[NOTE: This video is only the first 18 minutes of the full lesson, please visit my website to purchase complete version] Lesson consists of providing you with a Self-Tutorial on how to solve linear equations. Tutor discusses what is an Equation, Solution, Solution Set, Equivalent Equations, Identity, Contradictions, Conditional Equations, Linear Equations, the Standard Form of a Linear Equation. I show you how to actually SOLVE linear equations going step-by-step. I don’t skip steps. I review some of the properties of Equality here too. I remind you to check the work done and how to solve linear equations using a calculator. At the end, you will know how to easily solve equations that look like:

2[y - (4y - 1)] = 5 - 9y

No word problems are done here. This is shown in DETAIL in Part 2 of the Lesson.

Duration : 0:18:25

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The Hyperbolic Geometry Song

Monday, May 25th, 2009

This is a math project I did back in 9th Grade about Hyperbolic Geometry. It’s a parody of one of my old favorite songs, Superman by Five for Fighting. I wrote the lyrics, animated the movie, and *shudder* sang the song. Feel free to laugh at my singing, I don’t pretend I’m any good. I got an A on the project, though.

**EDIT: Due to consistent requests for lyrics, here they are:

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The Hyperbolic Geometry Song
Lyrics by Jason Merrin
Song parody of “Superman” by Five for Fighting

Geometric lines
In negatively curved space
Can curve in all different directions
In this strange but common case

Not a regular line on a regular plane
As it goes her out it increases in length
It’s hyperbolic geometry

Hyperbolic geometry’s not strange
In fact it is just fine
Especially for a person
Who wants three or more parallel lines

I think it’s right, I think it’s a hit
That outside of the Poincare disc is infinite
And riding a horse is a tough battle
Without a pseudosphere disc shaped saddle
It’s hyperbolic geometry

The closer to the edge a segment gets
The longer it is
This will be on the quiz
The closer it gets
To infinity

Hyperbolic triangles
Which sort of look like trees
Are always curved strangely
So that they’re less than 180 degrees

Not a regular line on a regular plane
Shaped like a potato chip on a subway train
Not a regular line on a regular plane
A complicated challenge for the human brain

The human brain
The human brain
The human brain
It’s hard for the brain

Not a regular line or a regular plane
Shaped like a potato chip on a subway train
Not a regular line on a regular plane
And it’s hyperbolic

Hmm hmm hmm

It’s hyperbolic… geometry…

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Duration : 0:3:21

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Algebra: Formulas From Geometry

Thursday, May 7th, 2009

This lesson consists of providing you with a basic review of the formulas from geometry you will most likely encounter in algebra (and other math classes like trigonometry and calculus). This is NOT a detailed, formal lesson.

Formulas and concepts covered include:

Angles (complementary & supplementary)
Triangles (perimeter and area)
Isosceles triangle
Equilateral triangle
Right triangle
The Pythagorean Theorem
Similar triangles
Perimeter and area formulas for Quadrilaterals (square, rectangle, parallelogram, trapezoid). Some diagonal formulas too, where applicable.
Circles (radius, diameter, circumference, area)
Cube (diagonal of face, diagonal of cube, surface area and volume)
Rectangular box [or Rectangular Parallelepiped] (diagonal of box, surface area and volume)
Prisms (Volume)
Pyramids (Volume)
Cone (slant height, lateral surface area, total surface area, volume)
Cylinder (lateral surface area, total surface area, volume)
Sphere (surface area and volume)

Duration : 0:23:8

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Algebra: Introduction to Algebra

Thursday, May 7th, 2009

[NOTE: This video is only the first 11 minutes of the full lesson, please visit my website to purchase complete version] This lesson consists of providing you with a Self-Tutorial on what is algebra, what are variables, constants, coefficients, terms, and expressions. The tutor explains the use of proper notation, how to combine like terms, find the negation of an algebraic expression, how to evaluate an expression (by hand and by using your calculator), and finally, there is a VERY detailed section on how to translate English phrases into algebraic expressions.

Duration : 0:11:22

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