Sunday, October 24, 2010

elementary math worksheets

elementary math worksheets

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help math: finding the horizontal asymptote of a rational function

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TutorState.com: Geometry Help

TutorState.com: Geometry Help

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Saturday, October 23, 2010

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Useful Mathematics - Tutorstate's blog

Useful Mathematics - Tutorstate's blog
http://universitytutoringservice.heyclick.net/content/sid/1/page/useful_mathematics.html

Useful Mathematics

Algebra

The Binomial Theorem

(1 + x)n = 1 + nx + [n(n-1) x2]/(2!) + [n(n-1)(n-2) x3]/(3!) + ...
If x << 1, then
(1 + x)n ≅ 1 + n x
(1 + x)-n ≅ 1 - n x
These approximations are useful when x2 is negliable.

Quadratic Equations

ax2 + bx + c = 0 has the solution,
x ={[-b ± (b2 - 4ac)]1/2} / (2a)

Trigonometry

π rad = 180 °
1 rad = 57.3 °
The quadrants in which trigonometrical functions are positive. Is shown below:

Signs of trigonometric functions
Figure 1. Signs of trigonometric functions.
A good way to remember this is the phrase clockwise ACTS. Clockwise gives the direction from the first quadrant is clockwise and each letter from the word ACTS stands for a trigonometric function: All, Cos, Tan and Sin. The direction of the angle increases in an anti-clockwise sense.
If A and B are angles then
tan A = sin A/cos A
sin2 A + cos2 A = 1
sec2A = 1 + tan2 A
cosec2 A = 1 + cot2 A


sin (A ± B) = sin A cos B ± cos A sin B
cos(A ± B) = cos A cos B -/+; sin A sin B
tan (A ± B) = (tan A ± tan B)/(1 ∓ tan A tan B)
If t= tan (1/2) A, sin A = (2t) / (1 + t2), cos A = (1 - t2) / (1 + t2)


2 sin A cos B = sin (A + B) + sin (A - B)
2 cos A cos B = cos (A + B) + cos (A - B)
2 sin A sin B = cos (A - B) - cos (A + B)


sin A + sin B = 2 sin [(A + B)/2] cos [(A - B)/2]
sin A - sin B = 2 cos [(A + B)/2] sin [(A - B)/2]
cos A + cos B = 2 cos [(A + B)/2] cos [(A - B)/2]
cos A - cos B = 2 sin [(A + B)/2] sin [(A - B)/2]

Power Series

ex = exp x = 1 + x + x2/(2!) + ... + xr/(r!) + ... for all x
ln (1 + x) = x - x2/ 2 + x3/3 - ... + (-1)r+1xr/r + ... (-1 < x ..
cos x = (eix + e-ix)/2 = 1 - x2/(2!) + x4/(4!) - ... + (-1)rx2r/(2r)! + ... for all x
sin x = (eix - e-ix)/(2i) = x - x3/(3!) + x5/(5!) - ... + (-1)rx2r+1/(2r + 1)! + ... for all x
cosh x = (ex + e-x)/2 = 1 + x2/(2!) + x4/(4!) + ... + x2r/(2r)! + ... for all x
sinh x = (ex - e-x)/2 = x + x3/(3!) + x5/(5!) + ... + x2r+1/(2r + 1)! + ... for all x




..

Friday, October 22, 2010

Physics Tutor

Physics Tutor

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Tutoring Location: Bay Ridge, Brooklyn



View Larger Map


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  • Two-hour lesson: $50


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Physics Tutor

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TutorState.com - Tutoring Service

TutorState.com - Tutoring Service
http://universitytutoringservice.heyclick.net/content/sid/1/page/useful_mathematics.html

Useful Mathematics

Algebra

The Binomial Theorem

(1 + x)n = 1 + nx + [n(n-1) x2]/(2!) + [n(n-1)(n-2) x3]/(3!) + ...

If x << 1, then

(1 + x)n ≅ 1 + n x

(1 + x)-n ≅ 1 - n x

These approximations are useful when x2 is negliable.

Quadratic Equations

ax2 + bx + c = 0 has the solution,

x ={[-b ± (b2 - 4ac)]1/2} / (2a)

Trigonometry

π rad = 180 °

1 rad = 57.3 °

The quadrants in which trigonometrical functions are positive. Is shown below:

Signs of trigonometric functions
Figure 1. Signs of trigonometric functions.

A good way to remember this is the phrase clockwise ACTS. Clockwise gives the direction from the first quadrant is clockwise and each letter from the word ACTS stands for a trigonometric function: All, Cos, Tan and Sin. The direction of the angle increases in an anti-clockwise sense.

If A and B are angles then

tan A = sin A/cos A

sin2 A + cos2 A = 1

sec2A = 1 + tan2 A

cosec2 A = 1 + cot2 A



sin (A ± B) = sin A cos B ± cos A sin B

cos(A ± B) = cos A cos B -/+; sin A sin B

tan (A ± B) = (tan A ± tan B)/(1 ∓ tan A tan B)

If t= tan (1/2) A, sin A = (2t) / (1 + t2), cos A = (1 - t2) / (1 + t2)



2 sin A cos B = sin (A + B) + sin (A - B)

2 cos A cos B = cos (A + B) + cos (A - B)

2 sin A sin B = cos (A - B) - cos (A + B)



sin A + sin B = 2 sin [(A + B)/2] cos [(A - B)/2]

sin A - sin B = 2 cos [(A + B)/2] sin [(A - B)/2]

cos A + cos B = 2 cos [(A + B)/2] cos [(A - B)/2]

cos A - cos B = 2 sin [(A + B)/2] sin [(A - B)/2]

Power Series

ex = exp x = 1 + x + x2/(2!) + ... + xr/(r!) + ... for all x

ln (1 + x) = x - x2/ 2 + x3/3 - ... + (-1)r+1xr/r + ... (-1 < x <et; 1)

cos x = (eix + e-ix)/2 = 1 - x2/(2!) + x4/(4!) - ... + (-1)rx2r/(2r)! + ... for all x

sin x = (eix - e-ix)/(2i) = x - x3/(3!) + x5/(5!) - ... + (-1)rx2r+1/(2r + 1)! + ... for all x

cosh x = (ex + e-x)/2 = 1 + x2/(2!) + x4/(4!) + ... + x2r/(2r)! + ... for all x

sinh x = (ex - e-x)/2 = x + x3/(3!) + x5/(5!) + ... + x2r+1/(2r + 1)! + ... for all x




Sunday, October 10, 2010

Free Classifieds бесплатные объявления - Math Tutor in Brooklyn

Free Classifieds бесплатные объявления - Math Tutor in Brooklyn

Math Tutor in Brooklyn


I tutor all levels of math from elementary to college math. I am educated and skilled to tutor Pre-Algebra, Algebra I, Algebra II, Geometry, Trigonometry, Pre-Calculus, Calculus, and so on ...

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Tuesday, October 5, 2010

Acceleration

Acceleration

Physics Help, General Physics, Fundamentals of Physics

Physics Help, General Physics, Fundamentals of Physics

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Monday, October 4, 2010

Physics help Membrane Potentials

Physics help Membrane Potentials

Physics help Elementary Particles

Physics help Elementary Particles

TutorState.com: Physics tutoring Two Dimensional Motion

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TutorState.com: Tutor in Differential Equations - Brooklyn

TutorState.com: Tutor in Differential Equations - Brooklyn: "Tutor in Differential Equations - Brooklyn tutor in differential equations brooklyn www.tutorstate.com/help_math_connections.htm Email:admi..."

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tutoring mathematics: finding the horizontal asymptote of a rational function

tutoring mathematics: finding the horizontal asymptote of a rational function

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TutorState.com: help math: horizontal asymptote of a rational func...

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Sunday, October 3, 2010

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Saturday, October 2, 2010

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Tutoring Service in Math, Physics, Computer Science: TutorState.com | tutorstate on Xanga

Tutoring Service in Math, Physics, Computer Science: TutorState.com | tutorstate on Xanga

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math Tutor « Tutorstate's Blog
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TutorState.com

About Me

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tutorstate@yahoo.com Tutoring Service in Math, Physics, Computer Science: TutorState.com
I tutor both high school and college students in the following subjects: - Mathematics - Physics - Computer Science, including C/C++ programming languages, Signals Systems and Transforms. I am a PhD in Physics and Mathematics I charge 30 dollars an hour. Location: Bay Ridge, Brooklyn, NY Email: admin@TutorState.com Phone: 718-223-0228