Tutoring Service in Math, Physics, Computer Science: TutorState.com
Location: Bay Ridge, Brooklyn, NY.
Email: admin@TutorState.com

718-223-0228

## Sunday, October 24, 2010

### Geometry Help

# Geometry Help

**Euclid**have you

*stumped*?

**Archimedes**run

*rings around your head*?

Well you've come to the right place.

This is where you'll find almost everything you'll ever need to know about Geometry.

One-on-one Geometry help.

Email: admin@TutorState.com

Phone:

**718-223-0228**

## Saturday, October 23, 2010

### SAT Tutoring NYC

# SAT Tutoring NYC

TutorState.com is the premiere tutoring and test preparation company in the

New York area. We provide tutoring for the SAT, PSAT, SATII, ISEE, SHSAT, SSAT, GRE, GMAT, LSAT and academic subjects.

TutorState.com has helped hundreds of students achieve their testing goals

and gain admittance to the schools of their choice. Our unique approach covers every facet of the exam while keeping our students, and their parents, calm and confident. Call today 718-223-0228 to find out how we can help you succeed!

Email: admin@TutorState.com

Click here for more information and a complimentary consultation.

We offer instruction in the following:

SAT, SATII, PSAT, ISEE, SSAT, SHSAT, GRE, LSAT, Any Academic Subject.

Contact us: 718-223-0228

### Useful Mathematics - Tutorstate's blog

http://universitytutoringservice.heyclick.net/content/sid/1/page/useful_mathematics.html

# Useful Mathematics

## Algebra

### The Binomial Theorem

*x*)

^{n}= 1 +

*nx*+ [

*n*(

*n*-1)

*x*

^{2}]/(2!) + [

*n*(

*n*-1)(

*n*-2)

*x*

^{3}]/(3!) + ...

*x*<< 1, then

*x*)

^{n}≅ 1 +

*n x*

*x*)

^{-n}≅ 1 -

*n x*

*x*

^{2}is negliable.

### Quadratic Equations

*ax*

^{2}+

*bx*+

*c*= 0 has the solution,

*x*={[-

*b*± (

*b*

^{2}- 4

*ac*)]

^{1/2}} / (2

*a*)

### Trigonometry

*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.

*A*and

*B*are angles then

*A*= sin

*A*/cos

*A*

^{2}

*A*+ cos

^{2}

*A*= 1

^{2}

*A*= 1 + tan

^{2}

*A*

^{2}

*A*= 1 + cot

^{2}

*A*

*A*±

*B*) = sin

*A*cos

*B*± cos

*A*sin

*B*

*A*±

*B*) = cos

*A*cos

*B*-/+; sin

*A*sin

*B*

*A*±

*B*) = (tan

*A*± tan

*B*)/(1 ∓ tan

*A*tan

*B*)

*A*, sin

*A*= (2

*t*) / (1 + t

^{2}), cos

*A*= (1 -

*t*

^{2}) / (1 +

*t*

^{2})

*A*cos

*B*= sin (

*A*+

*B*) + sin (

*A*-

*B*)

*A*cos

*B*= cos (

*A*+

*B*) + cos (

*A*-

*B*)

*A*sin

*B*= cos (

*A*-

*B*) - cos (

*A*+

*B*)

*A*+ sin

*B*= 2 sin [(

*A*+

*B*)/2] cos [(

*A*-

*B*)/2]

*A*- sin

*B*= 2 cos [(

*A*+

*B*)/2] sin [(

*A*-

*B*)/2]

*A*+ cos

*B*= 2 cos [(

*A*+

*B*)/2] cos [(

*A*-

*B*)/2]

*A*- cos

*B*= 2 sin [(

*A*+

*B*)/2] sin [(

*A*-

*B*)/2]

### Power Series

*e*

^{x}= exp

*x*= 1 +

*x*+

*x*

^{2}/(2!) + ... +

*x*

^{r}/(

*r*!) + ... for all

*x*

*x*) =

*x*-

*x*

^{2}/ 2 +

*x*

^{3}/3 - ... + (-1)

^{r+1}

*x*

^{r}/

*r*+ ... (-1 < x ..

*x*= (e

^{ix}+ e

^{-ix})/2 = 1 -

*x*

^{2}/(2!) +

*x*

^{4}/(4!) - ... + (-1)

^{r}

*x*

^{2r}/(2

*r*)! + ... for all

*x*

*x*= (e

^{ix}- e

^{-ix})/(2i) =

*x*-

*x*

^{3}/(3!) +

*x*

^{5}/(5!) - ... + (-1)

^{r}

*x*

^{2r+1}/(2

*r*+ 1)! + ... for all

*x*

*x*= (e

^{x}+ e

^{-x})/2 = 1 +

*x*

^{2}/(2!) +

*x*

^{4}/(4!) + ... +

*x*

^{2r}/(2

*r*)! + ... for all

*x*

*x*= (e

^{x}- e

^{-x})/2 =

*x*+

*x*

^{3}/(3!) +

*x*

^{5}/(5!) + ... +

*x*

^{2r+1}/(2

*r*+ 1)! + ... for all

*x*

## Friday, October 22, 2010

### Physics Tutor

# Physics Tutor

## I am available for private tutoring in Physics at the High School and College levels

### Ph.D in Physics and Matematics

I look forward to hearing from you!

Tutoring Location: Bay Ridge, Brooklyn

View Larger Map

Rates:

- One-hour lesson: $30
- Two-hour lesson: $50

If interested, please contact by email at admin@TutorState.com and include the title "tutoring" in the subject title.

Address:

52 92nd St, Apt 6C, Brooklyn, NY, 11209

Phones:

(718) 223-0228,

### 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) *x*^{2}]/(2!) + [*n*(*n*-1)(*n*-2) *x*^{3}]/(3!) + ...

If *x* << 1, then

(1 + *x*)^{n} ≅ 1 + *n x*

(1 + *x*)^{-n} ≅ 1 - *n x*

These approximations are useful when *x*^{2} is negliable.

### Quadratic Equations

*ax*^{2} + *bx* + *c* = 0 has the solution,

*x* ={[-*b* ± (*b*^{2} - 4*ac*)]^{1/2}} / (2*a*)

### Trigonometry

π rad = 180 °

1 rad = 57.3 °

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

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*

sin^{2} *A* + cos^{2} *A* = 1

sec^{2}*A* = 1 + tan^{2} *A*

cosec^{2} *A* = 1 + cot^{2} *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* = (2*t*) / (1 + t^{2}), cos *A* = (1 - *t*^{2}) / (1 + *t*^{2})

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

*e*^{x} = exp *x* = 1 + *x* + *x*^{2}/(2!) + ... + *x*^{r}/(*r*!) + ... for all *x*

ln (1 + *x*) = *x* - *x*^{2}/ 2 + *x*^{3}/3 - ... + (-1)^{r+1}*x*^{r}/*r* + ... (-1 < x <et; 1)

cos *x* = (e^{ix} + e^{-ix})/2 = 1 - *x*^{2}/(2!) + *x*^{4}/(4!) - ... + (-1)^{r}*x*^{2r}/(2*r*)! + ... for all *x*

sin *x* = (e^{ix} - e^{-ix})/(2i) = *x* - *x*^{3}/(3!) + *x*^{5}/(5!) - ... + (-1)^{r}*x*^{2r+1}/(2*r* + 1)! + ... for all *x*

cosh *x* = (e^{x} + e^{-x})/2 = 1 + *x*^{2}/(2!) + *x*^{4}/(4!) + ... + *x*^{2r}/(2*r*)! + ... for all *x*

sinh *x* = (e^{x} - e^{-x})/2 = *x* + *x*^{3}/(3!) + *x*^{5}/(5!) + ... + *x*^{2r+1}/(2*r* + 1)! + ... for all *x*

## Tuesday, October 19, 2010

## Monday, October 18, 2010

### Candle swing - physics experiment

# Candle swing - physics experiment

### Apollo 15 falling objects experiment

Dave Scott drops a hammer and a feather to test the theory of falling objects in a gravity well

## Sunday, October 17, 2010

## Thursday, October 14, 2010

### Help in Math at near Brooklyn, NY

# Help in Math at near Brooklyn, NY

Email: admin@TutorState.com

Phone:

**718-223-0228**

Location:

**Bay Ridge, Brooklyn, New York**

View Larger Map

### basic math tutorials

# Help in Math at near Brooklyn, NY

Email: admin@TutorState.com

Phone:

**718-223-0228**

Location:

**Bay Ridge, Brooklyn, New York**

## Sunday, October 10, 2010

### 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 ...

Because math is often a complicated subject for many students, I simplify complex math problems and build confidence in my math students so that even the toughest math problems may be conquered.

Math Tutor in Brooklyn

http://math-tutor-in-brooklyn.tutorstate.com/

## Saturday, October 9, 2010

### Staten Island Tutoring

# Staten Island Tutoring

http://www.tutorstate.com/PhD in Physics and Math.

Phone: 718-223-0228.

Email:

**admin@TutorState.com**.

Location: 52 92nd St, Brooklyn NY.

WebSite:www.TutorState.com

### Tutoring Service in Math, Physics, Computer Science: TutorState.com

# Staten Island Tutoring

http://www.tutorstate.com/PhD in Physics and Math.

Phone: 718-223-0228

Email:

**admin@TutorState.com**

Location: 52 92nd St, Brooklyn NY.

WebSite:www.TutorState.com

## Tuesday, October 5, 2010

### math Tutor

# math tutor new york

http://math.heyclick.net/math.shtml

math tutor new york

Email: admin@TutorStae.com

Phone:

**718-223-0228**

## Monday, October 4, 2010

### TutorState.com: Physics tutoring Two Dimensional Motion

# Physics Tutor

**PhD in Physics and Math**

Emai:admin@TuorState.com

Phone:

*718-223-0228*

TutorState.com: Physics tutoring Two Dimensional Motion

### TutorState.com: Tutor in Differential Equations - Brooklyn

### Tutor in Differential Equations - Brooklyn

Tutor in Differential Equations - Brooklyn

tutor in differential equations brooklyn

www.tutorstate.com/help_math_connections.htm

Email:admin@TutorState.com

Phone: 718-223-0228

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

## Sunday, October 3, 2010

### help math: complex expressions factoring

http://www.tutorstate.com/help_math_complex_expressions_factoring.htm

## Saturday, October 2, 2010

### Algebra 2 Trigonometry Regents

# algebra 2 trigonometry regents

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admin@TutorState.com

Phone: 718-223-0228

### Free Classifieds бесплатные объявления - Math Tutor in Brooklyn

# algebra 2 trigonometry regents

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### TutorState.com: Brooklyn Math Tutoring

### Brooklyn Math Tutoring

## Friday, October 1, 2010

## About Me

- TutorState
- 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