Tuesday, August 31, 2010

math hep online~

I know most of you bloggers are K-12 and college students. So are you looking for a way to Solve Math problems? If you are, you can go to TutorVista.com . TutorVista is an online source for Math help. This site provides free Math online tutoring program especially for you. You can take advantage of the internet technology to get the best Math help without having to spend much money.



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math image above is courtesy of freeimageslive.co.uk



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AN INTERESTING FACT IN FEBRAURY 2010


An interesting fact about Febraury 2010.
4 Sundays
4 Mondays
4 Tuesday
4 Wednesday
4 Thursday
4 Friday
4 Saturday

REALLY AMAGING

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Financial Advisor Dave Ramsey's Debt Snowball Debt Reduction Plan

Financial Advisor Dave Ramsey's Debt Snowball Method for paying off debts

In the last few posts I have been writing about financial advisor Dave Ramsey and all of the incredible personal financial advising information he has to offer. Their are most certainly Dave Ramsey critics out there but for the most part everyone thinks that the information he offers is extremely helpful. The only complaints come from those that argue that his plan for financial freedom and financial peace is to conservative. I could agree with this if it was not for the debt epidemic among Americans. Unfortunately the criticisms from these critics does not take into account the fact that a lot of Americans do not have the discipline to pay off their credit cards in full every month or keep a handle on their debt.

Today I wanted to talk in detail about financial advisor Dave Ramsey's Debt Snowball reduction plan for paying off ! debts. This plan shows us excellent ways to get out of debt. The Debt Snowball reduction plan is the second step in financial advisor Dave Ramsey's 7 Baby Steps to Financial Peace training course and is probably the most important step in a persons quest for financial freedom and financial peace.

The ideology behind financial advisor Dave Ramsey's Debt Snowball reduction plan is to organize all of your debts and setup an easy, manageable, and results oriented plan for paying these debts off. These debts can include credit cards, car loans, student loans, payday loans, faxless payday loans or personal loans. It basically includes any debt that you have excluding your home mortgage.

The first step in the financial advising debt snowba! ll debt reduction plan is to make a excel spreadsheet list of ! all of y our debts with the lowest balance at the top of the list. He doesn't actually suggest personal debt consolidation but rather thinks you should pay off each debt ASAP starting with the smallest. After you make this list you then need to allocate as much of your monthly budget as you possibly can to debt elimination. After you have listed your debts in order from lowest to highest and decided how much you can put toward debt each month you need to determine what your payments for each account should be. This financial advising step is very simple. In the debt snowball debt reduction plan you pay only the minimum payment toward each debt you have except for the one at the top of the list (one with the lowest balance).

The plan is to pay off the smallest debt as quickly as possible and then once it is paid off you move on to the next smallest debt you have. When you move on to the second debt on your excel spre! adsheet you then allocate the whole amount that was originally going to your smallest debt (the debt that is now paid off). These means that you will continue with the minimum you were paying on the now smallest debt and add the total amount that was going to your debt that is now paid off. After paying of the second smallest debt on your debt snowball excel spreadsheet you will move on to the third smallest.

The idea with the debt snowball reduction plan is to continue doing this until you have paid off all of your debts (excluding your house payment). Financial advisor Dave Ramsey's rational with the debt snowball method is to gain steam and see results by paying off the smallest debts first. The Debt Snowball method will help you to see real results and help motivate you to continue. For most people they need to see results and feel like they are making progress or they will quite within 6 months of starting a plan to pay off their debt.

Below I hav! e included an example of the financial advisor Dave Ramsey deb! t snowba ll debt reduction plan for my readers. I have also included several links to Debt Snowball Calculators. The debt snowball calculator should help give you an idea of how long it will take to pay off each debt.

Example of the debt snowball method (Courtesy of Wikipedia)

Ignoring interest rates, let's pretend you have the following debt and minimum payments:

Car Payment - $2500 balance - $150/month minimum
Credit Card A - $250 balance - $25/month minimum
Loan - $5000 balance - $200/month minimum
Credit Card B - $500 balance - $26/month minimum

Your minimum payments for all debt would be $401 per month. You would order your debts in the following order (lowest to highest):

Credit Card A - $250 balance - $25/month minimum
Credit Card B - $500 balance - $26/month minimum
Car Payment - $2500 balance - $150/month minimum
Loan - $5000 balance - $200/month minimum

Now, assuming you had $100 extra per month to send in, you would apply that $100 to the Credit Card A so that the payment for it would be $125 per month and the other debt would receive the minimums.

After Credit Card A is paid off (in two months), you would apply the extra $100 to Credit Card B PLUS the $25 you were sending in to Credit Card A. So now your payment to Credit Card B would be: $26 normal minimum + $25 that you normally sent in to Credit Card A + $100 that you are able to send extra.

Your payment to Credit Card B would be $151 instead of $26. Therefore, you would pay it off much faster. Then, when Credit Card B is paid off, you would now send in the following to the Car Payment: $150 normal minimum + $25 that you normally sent in to Credit Card A + $26 that you normally sent in to Credit Card B + $100 that you are able to send extra. Your payment to Car Payment would now be $301 instea! d of $150.

To follow the debt snowball debt reducti! on plan you would simply continue to follow this plan until all debts were paid off.

Links to a download able and java script debt snowball calculator: (The java script one is more like a debt snowball calc and the other two would probably be considered debt snow ball calc software.)

Downloadable Excel Spreadsheet Debt Snowball Calculator

Java Script Debt Snowball Calculator

Mr. Peanut Debt Snowball Calculator

The debt snowball debt reduction plan is one of the best plans available for paying off debt. It helps people to see immediate results and gain momentum! in their plan to be debt free. Go ahead and start your own debt snowball reduction plan and begin your journey toward financial freedom and financial peace.

Financial advisor Dave Ramsey is personal finance expert who specializes in giving out information to help people get out of debt and achieve financial peace. His radio show The Dave Ramsey Show is aired on over 300 different radio stations each day and heard by over 3 million listeners. Dave Ramsey is also the author of many great books including The Total Money Makeover, Financial Peace, and More Than Enough.

-Jesse

P.S. If your are looking for a personal financial advisor please email me and I will give you suggestions on which financial advising companies to consider.


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Fractions to decimals calculator

This is the COOLEST fractions to decimals calculator I've seen! It will convert a fraction into a decimal to any number of decimal places, and TELL you if it is a recurring decimal, and how many digits its period is.

I tried 2/10392, and it said "2/10392=1/5196 has 2 initial digits followed by a period of 432 digits." I won't copy the actual digits here...

Hat Tip goes to MathNotations Blog.


dividing decimals calculator

Flight Attendant Hiring Update: 08/21/10

As of 08/21/10, there are 31 airlines either hiring flight attendants and/or Inflight Managers or are accepting resumes/applications.

Here are a few of the airlines that are hiring flight attendants/managers or have upcoming Open House Interview(s):

Air Canada

Now interviewing for Toronto based flight attendants. Apply online. See website for details.

Air Wisconsin


Open House Interview(s): 8/25 - Philadelphia(Lester), PA. Now interviewing flight attendant applicants for selected domiciles. Apply online. See website for details.

Atlantic Southeast

Now interviewing flight attendants for various crew bases. Apply online. See website for details.

Cathay Pacific

Now interviewing for San Francisco and Los Angeles based flight attendants. US citizenship or individuals with resident status or the right to live and work in the United States may apply. Must be 19 and be fluent in written and spoken English and be fluent in one of the following languages: Cantonese, Mandarin, Vietnamese, Tagalog, or Japanese. Interested applicants should send a resume via email. See website for details.

Colgan Air

Now hiring for Albany, Newark, Washington Dulles and Houston bases. To apply, email resume to employment@colganair.com. See website for details.

Comair

Interviewing for Erlanger, KY based Inflight Manager. No flight attendant Hiring. See website for updates.

Emirates

The Emirates Cabin Crew Recruitment Team has resumed hiring. Apply online or in person in Dubai. See website for more details.

GoJet

Accepting applications for flight attendant positions. Apply online or send resume to: 11495 Navaid Road, Suite 133, Bridgeton, MO 63044. You may also fax or email. Fax number: 314-222-4399. Email: recruiting@gojetairlines.com. See website for more details.

Mesa

Ongoing flight attendant hiring. See website for details.

Mesaba

Open House Interview(s): 8/31 - Bloomington, MN. Now interviewing for Minneapolis, Memphis and Detroit based flight attendants. See website for more details.

Piedmont

Piedmont Airlines/US Airways Express is currently accepting resumes. Apply online. See website for details.

Pinnacle

Open House Interview(s): 8/27, 8/28 - East Elmhurst, NY. Interviewing for new JFK base. Download application from the Pinnacle website and bring resume. Please check the Pinnacle website for more details.

Qatar Airways

Open House Interview(s): 8/28 - London Gatwick , UK; 8/29 - Kiev, Ukraine; 8/29 - Amritsar, India; 9/4 - Pune, India; 9/4 - Shanghai, China ; 9/4 - Kuala Lumpur, Malaysia; 9/4 - Bratislava, Slovakia. Qatar is a multinational airline hiring candidates from all nationalities. Apply online. See website for more details.

Virgin America

Virgin America is now hiring Inflight Team Members (flight attendants) for their San Francisco base.

Want more airline specific information?

Become a member of AirlineCareer.com right now and gain access
to the complete 'Who's Hiring' chart on the Members' home page.

The 'Who's Hiring?' chart monitors the hiring status at 54 airlines and provides continuous updates on airline Open House dates, locations, recalls and furloughs with direct links to the company web site for additional details.

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applications of bases

Graphing - Equation of the Line

If you are given a line on a graph (or enough information to construct a line), you will likely also be asked to find the equation of the line. The equation of the line is unique to each line; that is, every line has a different equation. With it, you can readily tell the slope of the line, and you can calculate what the x-value is for any y-value on the line (and vice versa). It is very handy!

The most common and basic form of the equation of the line is:

y = mx + b

where m is the slope and b is the y-intercept (where the line crosses through the y-axis).

Another way to write it, which is more general is called the POINT-SLOPE FORMULA:

(y-y1) = m(x-x1)

where m is the slope, and x1 and y1 are the coordinates of a known point on the graph. (If you pay close attention, you can see that this way of writing it is really the same as t! he slope formula, but rearranged!) The version basically says 'give any point at all, and a slope, and you have enough information to draw the line."

Let's use the graph from the slope lesson to practice, using points (2,1) and (7,7). To get our final answer, we are going to have to do a couple of steps first. Let's use the y=mx+b equation. The steps we are going to do are:
1) Find the slope
2) Find the y-intercept
3) Write the equation of the line

Finding the slope is easy now, if you read the posting on slopes (I always leave numbers as fractions, instead of changing to decimals):

m = (y2-y1)/(x2-x1)
= (7-1)/(7-2)
= 6/5

The y-intercept is easy now... just plug numbers into y=mx+b, and solve for b. So, b=y-mx. We have our slope now, and for y and x, we ju! st substitute in the coordinates of a single point (x and y MUST be from the same point!)

b=y-mx
= 1-(6/5) x 2
= 1-12/5
= (-7/5) (you have to do some fraction math!)

So now we can write the equation of our line!

y = mx+b
y = (6/5)x - (7/5).... (if we leave it like this, we can read the values for slope and y-int right from the equation!)
y = (6x - 7)/5

If we work through using the other formula... (y-y1) = m(x-x1)... we get the same answer, and we don't have to explicitly solve for b! First, solve for slope. Second, substitute in values for slope and x1,y1, and then rearrange!

slope = 6/5 (same thing we did above)

so (y-y1) = m(x-x1)..... (sub in slope, and point (2,1) for (x1,y1))
(y-1) = (6/5)(x-2)...
y=(6/5)(x-2) + 1...
y = (6/5)x - (6/5)2 + 1...
y=(6/5)x -12/5 + 1...
y=(6/5)x -(7/5)... (same slope ! and y-int)
y=(6x-7)/5

Same answer! That is the equation of the line. Now if you put in any value for x, you can say exactly what the value for y would be... if you wanted to know what y is when x is 1000, you can do that now! You will see that it will always be on the same straight line.

If we work through and do the same thing for the red line on the graph, with points (-6,2) and (-4,-5), we can get the equation for that line too! Let's try it this time using just the one formula.

(y-y1) = m(x-x1)
((-5)-2) = m((-4)-(-6))
(-7) = m(2)
m=(-7/2)

Now put that back into the same formula along with a point, and rearrange:

(y-y1) = m(x-x1)
(y-2) = (-7/2)(x-(-6))
y-2 = (-7/2)(x+6)
y= (-7/2)x + (-7/2)(6) + 2
y = (-7/2)x -21 + 2
y = (-7/2)x -19

(see slope (-7/2) and y-int (-19)... look at the graph, and you will see that makes sense! Negative slope, very low y-int!)

That's all there is to it! Just remember that there a! re a few steps to follow, depending on the formula you are using... basically, remember to always find the slope first, then the y-intercept, and plug directly into y=mx+b... or use the point-slope formula to find the slope using 2 points, and then resubstitute it back in with a single point and rearrange. It's not that complicated once you practice and understand what you are doing! Either method is going to give you the same answer, so pick your favorite and stick with it!

Problems on Straight Line Equation

Mathematic Books and Video Lectures - Useful Links

List of Topics

  • Intermediate Algebra
  • Elementary Statistics
  • Applied Probability
  • Finite Mathematics with Applications
  • Trigonometry for Calculus
  • Introduction to Mathematical Computation
  • Pre-Calculus and Introduction to Analytic Geometry
  • First Year Calculus (Calculus I)
  • Business Calculus
  • Mathematical Writing
  • Mathematics and Computer Science Problem Seminar
  • Dynamical Systems and Chaos
  • Computer Musings Lecture Series



Algebra Review
  • Video Lectures: Math 160 (University of Idaho)
Course covers: factoring, interval notation, definition of function, functions, piece-wise defined functions, function composition, quadratic functions, solving quadratic functions. Slope of the line, equation of the line, parallel and perpendicular lines. Law of exponents, properties of logarithms. Applications to exponential function, exponential growth and decay. Solving systems of equations by substitution and elimination.


Intermediate AlgebraThe primary purpose of Intermediate Algebra is to improve your skills and competency in algebra so that you will be successful in calculus, the other math courses required for your major, and in the courses that use mathematics. Another goal is to help you develop your mathematical learning skills so that you will be more confident in future mathematical courses.

Course covers: the real numbers, linear equations, linear inequalities and absolute value, linear equations and inequalities in two variables, systems of linear equations, exponents, polynomials and polynomial functions, factoring, rational expressions, roots and radicals, quadratic equations and inequalities.



Elementary Statistics
Elementary Statistics is an introduction to data analysis course that makes use of graphical and numerical techniques to study patterns and departures from patterns. The student studies randomness with emphasis on understanding variation, collects information in the face of uncertainty, checks distributional assumptions, tests hypotheses, uses probability as a tool for anticipating what the distribution of data may look like under a set of assumptions, and uses appropriate statistical models to draw conclusions from data.

The course introduces the student to applications in engineering, business, economics, medicine, education, the sciences, and other related fields. The use of technology (computers or graphing calculators) will be required in certain applications.

Course covers: Sampling and data. Statistical graphs, quartiles and percentiles, mean, median, mode, variance and standard deviation. Basic probability, independent and dependent events, addition and multiplication rules. Discrete random variables, discrete probability distribution functions, expected value, binomial probability distribution function. Continuous random variables, continuous probability distribution functions, uniform probability distribution, exponential probability distribution. The normal probability distribution function, standard normal probability density function. Central limit theorem for averages and sums. Confidence intervals. Hypothesis testing. The Chi-Square distribution function. Linear regression and correlation.



Applied Probability (5 lectures)
Focuses on modeling, quantification, and analysis of uncertainty by teaching random variables, simple random processes and their probability distributions, Markov processes, limit theorems, elements of statistical inference, and decision making under uncertainty. This course extends the discrete probability learned in the discrete math class. It focuses on actual applications, and places little emphasis on proofs. A problem set based on identifying tumors using MRI (Magnetic Resonance Imaging) is done using Matlab.


Finite Mathematics with Applications
  • Video Lectures: Math 1313 (University of Houston)
Course covers slopes, equations and graphing of lines, linear depreciation, cost, revenue and profit functions, intersection of lines, break-even analysis, the method of least squares, graphing linear inequalities, graphing systems of linear inequalities, linear programming problems, graphical solution of linear problems, simple interest, future value, present value, and effect rate, annuities, amortization and sinking funds. Set notation and terminology, set operations, Venn diagrams, number of elements in a set, the multiplication rule, permutations and combinations. Experiments, events and sample spaces, definition of probability, rules of probability, use of counting technique, conditional probability, independent events, Bayes' theorem, distributions of random variables, expected value, odds, variance and standard deviation, Chebyshev's inequality, the binomial distributio! n, the normal distribution, applications of the normal distribution.


Trigonometry for Calculus
The goal of this course is to prepare you for the trigonometry that you will encounter in calculus. During this one credit course in trigonometry, you will learn how to evaluate trigonometric functions, sketch the graphs of the sine, cosine and tangent functions, study the inverse trigonometric functions and much more.

Course covers the Cartesian coordinate system, functions, angle and radian measure, special right triangles, the unit circle, the trigonometric ratios, graphs of trig. ratios, periodic functions, fundamental trigonometric identities and inverse trigonometric functions.



Introduction to Mathematical Computation
Throughout the course we will illustrate application of software in typical undergraduate mathematical subjects such as calculus, probability, linear algebra, and number theory. Further, we will move to structural programming. We conclude the course by illustrating elements of contemporary platform independent language, java. No programming experience required

Course covers: Basic commands in Mathematica, Mathematica in Calculus, Mathematica in Probability, Mathematica and Linear Algebra, Mathematica and Number Theory, Mathematica and structural programming, Introduction to Java.


Note: Links to lectures 6 - 17 are missing. You can access them by changing the last number of the link to the first 5 lectures. Example: to access lecture 12 use address http://130.212.40.150:8080/ramgen/mathematica/lecture12.rm, etc.


Pre-Calculus and Introduction to Analytic Geometry
The primary purpose of Pre-Calculus and Analytic Geometry is to improve your skills and competency in algebra so that you will be successful in calculus, the other math courses required for your major, and in the courses that use mathematics. Another goal is to help you develop your mathematical learning skills so that you will be more confident in future mathematical courses.

Course covers: equations and identities, graphs, functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, analytic geometry.



First Year Calculus (Calculus I)
The central object of the study in calculus is the concept of a function. Functions are used to describe the real world around us. Calculus introduces two fundamental concepts which enable us to describe and investigate functions. These are: the derivative and the integral. The derivative describes the behavior of a function at a particular time. The integral carries information about the history of a function.

Course covers: limits, limit laws, continuity, limits involving infinity, rates of change, derivatives, differentiation rules, product and quotient rules, rates of change in science, derivatives of trigonometric functions, the chain rule, implicit differentiation, logarithmic differentiation, maxima and minima, mean value theorem, L'Hospital's rule, optimization problems, areas and distances, definite integral, fundamental theorem of calculus.



Business Calculus
  • Video Lectures: Math 1314 (University of Houston)

Course covers limits, one-sided limits and continuity, the derivative, basic rules of differentiation, the product and quotient rules, the chain rule, higher order derivatives, basic applications of derivative, marginal functions in economics, applications of the first derivative, applications of the second derivative, curve sketching, absolute extrema, optimization, applications with exponential functions, antiderivatives, integration by substitution, area under the curve - Riemann Sums, the fundamental theorem of calculus, evaluation of definite integral, area between two curves, functions of several variables, partial derivatives, relative extrema.


Mathematical Writing (by Donald E. Knuth!)
Issues of technical writing and the effective presentation of mathematics and computer science. Preparation of theses, papers, books, and "literate" computer programs.

"I also gave a class called Mathematical Writing, just for one quarter," says Knuth. "The lectures are still of special interest because they feature quite a few important guest lecturers." This collection contains thirty-one tapes.



Mathematics and Computer Science Problem Seminar (by Donald E. Knuth!)
During the course students with Professor Knuth solve 5 problems which have not been solved.
According to D. E. Knuth course is given only once in two years because it takes him two years to think of good enough problems. The goal of the course it to understand problem solving in general and not just to solve those 5 problems and to get into as many of the different areas of computer science research as possible.

"This was an experimental project where we'd have three or four cameras in a basement studio and we would film classes of about an hour," says Knuth. "We got a bunch of our brightest students and gave them extremely difficult problems. You could literally see the Aha taking place. People can watch the problem-solving process as it occurred." Over 25 hours of these sessions are available for viewing.



Dynamical Systems and Chaos
The course will provide quick introduction to Dynamical Systems, Ergodic Theory and Chaos. We will start with examples of dynamical systems, with basic notions such as orbits, periodic points, phase portraits, attraction and repulsion, calculus of fixed points, invariant measures, Bernoulli shifts and ergodic theorems of various types.
Then we will study bifurcations on the example of dynamics of quadratic maps. The quadratic family will be used to demonstrate the transition to chaos and the main features of chaotic behaviour. We will touch Sarkovsii's Theorem and Newton's Method.

Elements of Symbolic Dynamics and subshifts of finite type will be considered. Then we will move to fractals and discuss fractal dimension and related topics. After that we will introduce Holomorphic Dynamics and the main objects such as Julia sets and the Mandelbrot set. Time permitting, we will consider some rational maps in dimension two and higher. Henon map will be considered, as well as some maps arising in the theory of fractal groups, and the Smale horse shoe map. We will consider also spectra and spectral measures related to such groups and to fractal sets like Sierpinski gasket or Cantor set.



Computer Musings Lecture Series (by Donald E. Knuth)

?These lectures I'?ve given have been inspired and shaped by the questions and responses of the audiences to whom I spoke, and I want to keep them alive,prof. D.E.Knuth explains. We'?ve got these tapes and the world is going digital; Stanford Centre for Professional Development has the talent and expertise to convert them. I feel that archiving is important. I'?ve learned from archived lectures and classes myself, so I think others can learn from these.

A sampling of musings includes:
  • Dancing Links
  • Fast Input/Output with Many Disks, Using a Magic Trick
  • MMIX: A RISC Computer for the New Millennium
  • The Joy of Asymptotics
  • Bubblesort at random (one-dimensional particle physics)
  • Trees, Forests, and Polyominoes
  • Finding all spanning trees


"Other" Donald E. Knuth Lectures

Also available are two five-session short courses about TeX (1981); twelve lectures about the implementation of TeX (1982); video recordings of eight history sessions about Computer Science at Stanford, taped in 1987 and featuring many alumni of our department; and some reminiscences by Professors Feigenbaum, Floyd, Golub, Herriot, Knuth, McCarthy, Miller, and Wiederhold about the founding of Stanford's Computer Science Department, The Living Legends (1997).

Questions from audience and students are important to the learning process, according to Knuth. Sometimes the expression of a more mature idea isn't the most interesting or effective way to learn you may learn more from how a professor reacts to an idea or a question. He pauses, and then adds, People might learn a lot from watching me fumble around to answer a question.

graphing linear inequalities