Algebra - the Major Branch of Mathematics

Filed under: Schools + Colleges, Science Stuff, Web Of Mathematics — admin at 4:40 am on Tuesday, September 8, 2009

What is Algebra?

Algebra is a broad category of mathematics that uses abstraction by exchanging alphabetic characters for numbers. This abstraction is the very reason why most people find algebra scary and too difficult to handle and it is the same reasons why some students find it fun to play around with. Algebra topics extend from working with fractions to factoring binomials all the way to finding the y-intercept. Most people get down to learn Algebra by adding, subtracting, reducing and simplifying fractions . They then move on to understanding equivalent fractions, finding Least Common Multiples (LCM) and converting fractions to decimals.

Oh no! It’s Exponents, Radicals and Graphing

There are numerous higher level topics. To start off with there are exponents. A power is the small number placed to the right and slightly above a number or algebraic expression. An example is (x + y)3 where the 3 is the exponent and refers the power to which that number is raised. The above algebraic expression is read, x plus y to the third power. While working with exponents you will oftentimes come across exercises that require you to add, subtract, multiply and divide. You can work with fractional and negative exponents . If that isn’t enough to make your head spin, then you can move on to radicals. A radical, in simple terms, is the undoing of an exponent. The V beside 4 denote a radical expression which means, the square root of 4, which equals 2. The contrary exponential equation is 2^2 which is read, 2 to the 2nd power, and equals 4. Additionally, powers can be added, subtracted, multiplied or divided by radicals. Radicals can be converted into powers and powers back into roots. If powers and radicals aren’t enough, there is always graphing. Start with graphing straight lines and defining if the line is horizontal or vertical or something else. Does the line have an x-intercept or a y-intercept? Can you find the slope of the line? you master the mathematical art of graphing, you will notice a whole new world filled with parabolas and hyperbolas.

Want Help?

While you are learning algebra if the terms and concepts seem too much to handle, relax and take a break. It’s time to look around because there exists a wide array of resources that is able to help you master the subject. Look for math tutors or software packages that will walk you through gradual process on how to solve any problem. Know that frustration is not your only friend because any of these tools can help you become an algebra guru in no time.

Role of Algebra in Your Life

Filed under: Schools + Colleges, Science Stuff, Web Of Mathematics — admin at 1:40 am on Tuesday, August 4, 2009

Algebra is a crucial branch in Mathematics, which deals with equations, inequalities, fractions and expressions. Being one of the main arms of mathematics, it forms an whole part of basic education. Concepts in combinatorial mathematics, variables, polynomials and factorization are the main areas which algebra deals with. Advanced algebra also deals with symbolizations and set theory where the computation of unknown values is made possible based on certain predetermined facts.

Algebra and its Link to Geometry

Geometry works on the complete use of algebra to graph a circle, a hyperbola, a parabola or even finding the focus of a hyperbola. From the very fundamental computations of computing the midpoint of a line or the radius of a circle to the more complex operations of determining if a parabola opens up or to compute its directrix, algebra makes its presence visible to a high level of purpose in the field of geometry.

Algebra - Solving Equations & Exponents

Algebra can solve any inequalities from linear or quadratic to radical or exponential. Using algebra as a weapon one can solve inequalities and even graph systems of non-linear equations and quadratic inequalities. If exponents have been troubling your head, a complete grasp of algebraic expressions will relieve the pain allowing you to work through it easily. As in with every other arm of mathematics, in algebra too, basic laws and rules can be applied to add, subtract, divide and multiply fractions in order to solve problems.

Simplify Fractions and Polynomials - Try Algebra Calculators

Whether you have problems in solving, comparing or converting fractions, algebra solvers can work their magic for you. The algebra software solves problems posted and is able to produce results immediately. Complex matrix equations like inverse matrix and other matrix operations could be solved using algebraic calculators. Simplification of algebraic and arithmetic expressions along with factoring polynomials to determining the Least Common Multiple and Greatest Common Divisor is now a piece of cake with the latest algebra solvers.

Professional Help All the Way

Students often get professional help from private instructors who will provide you with a step-by-step answer for your problems. Math tutors are at your disposal for those hard problems which can get you easily bugged. The math solver software that is widely available in today’s market provide endless options to suit a student’s every need. From calculators that cater to a specific type of algebra to ones that scan the entire scope of the subject, you will find a complete answer.

Finding Algebra Help

Filed under: Schools + Colleges, Science Stuff, Web Of Mathematics — admin at 7:16 pm on Tuesday, June 30, 2009

Algebra is a significant branch in Mathematics, dealing with equations, inequalities, fractions and expressions. Being one of the major branches of mathematics, it forms an whole part of elementary education. combinatorial mathematics, variables, polynomials and factorization are some of the mainstream areas that is being dealt by mathematics. As you move along advance algebraic equations, you will deal with symbols and set theories which allows you to compute unknown values based on predetermined facts.

Algebra and its Link to Geometry

Geometry brings into play the complete use of algebra to graph a circle, a hyperbola, a parabola or even finding the focus of a hyperbola. Be it simple operations such as determining the endpoints of a line or finding the radius of a circle, to more complicated operations such as figuring out if a parabola opens up; algebra is most important for geometry.

Algebra - Solving Equations & Exponents

Equipped with knowledge on how to play around with algebra, solving equations involving linear , quadratic or radicals will be no problem. Using algebra as a weapon one can solve inequalities and even graph systems of fractional equations and linear inequalities. Playing with exponents is no longer an problem when you start using algebra. As in with every other branch of mathematics, in algebra too, basic laws and principles can be applied to add, subtract, divide and multiply expressions in order to solve problems.

Simplify Fractions and Polynomials - Using Algebra Calculators

No matter in which area you find trouble when it comes to math, algebra solvers can be of help to you. The algebra software solves problems posted and is able to produce results immediately. even, complex matrix equations like inverse matrix and other matrix operations could be solved using algebraic calculators. Thanks to the algebraic solvers, simplifying algebraic expressions, which may involve factoring binomials or involves determination of the GCF, has now been made a extremely easy job.

Professional Help All the Way

Students often get professional help from private instructors who will provide you with a step-by-step answer for your troubles. Math tutors are at your disposition for those complicated problems which can get you easily bugged. The math solver software that is widely available in today’s market provide endless options to suit a student’s every need. From calculators that cater to a specific type of algebra to ones that scan the entire scope of the subject, you will find a complete answer.

Credit Counseling Explained

Filed under: Web Of Mathematics — admin at 11:16 pm on Thursday, May 22, 2008

Not only is credit counseling now a requirement when filing bankruptcy thanks to the new laws set forth in October of 2005, but it is also a good idea for those who find that they are swimming in a river of debt without the proverbial paddle. When you are in financial danger such as this credit counseling could be a great option and an alternative to filing for bankruptcy. With the many different kinds of credit counseling companies that are available to you, it may be hard to differentiate between the good, the bad, and the ugly. There are things you should be especially aware of and look for in any credit counseling company, there are some that are reputable, experienced, and only want the best for you. However, on the other end of that coin there are those that only exist to make life worse for you.

Credit counseling can help you eliminate the amount of calls you receive from various collection agencies, additionally they are specifically in place for those who have trouble in keeping up with their monthly payments. What a credit counselor will help you do is counsel you in creating a budget that will help you in keeping up with all your bills, household necessities, and living expenses. They will also work with you in arranging a type of payment plan that works well with your income and abilities to pay. It is important to note that in general credit counseling will only work with you on loans and credit cards that are unsecured. If you have trouble with your secured loans (such as your mortgage payments) credit counseling can provide you with advice on how you can deal with this situation.

Credit Counseling companies work closely with lenders that you have and negotiate acceptable payment arrangements for both the lender and the borrower. They will then help you create a budget that will allow you to afford the payments as well as other living expenses. It is important to strictly adhere to this budget in order to bring yourself out of your vast debt and avoid further collections, court proceedings, repossession, or bankruptcy. The budget may result in you giving up luxuries for the time being, however, eating a home instead of at a restaurant or giving up your shopping sprees, could prove to be far more beneficial in the long run than it would be finding yourself in such a financial situation that you cannot bring yourself out of.

Jeff Lakie is a contributing author at our website where
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Which Credit Card?

Filed under: Web Of Mathematics — admin at 11:17 pm on Wednesday, April 23, 2008

Bewildered by the sheer variety of debit cards and credit cards? Here is a breakdown of some of the main types of debit and credit cards available:

Debit card

You can use a debit card to buy goods and services. A debit card is very much like a cheque, unlike a credit card, you pay for goods straight away and the money comes out of your account quickly. The amount you spend using a debit card is immediately deducted from your current account.

A debit card allows you to make purchases whereby the money is taken straight from your current account, the benefit of a debit card is that your finances are kept up to date immediately, without having to wait for a monthly bill as is the case with a credit card.

Your banking institution issues you with a debit card. Debit cards offer less protection than credit cards in the event of a billing dispute. In addition, if your debit card is stolen, it is possible that your debit card account could be emptied. Most debit cards have a Switch/Delta/Solo/Electron symbol on them. If you become overdrawn you will pay interest on the amount due.

Cash card

This lets you take out money from a cash machine (ATM). To use it, you’ll need a Personal Identification Number (or PIN) which your bank sends you. Each time you use your card at a cash machine, you’ll need to key in this number.

Credit card

A credit card lets you buy goods and services up to a set limit before you pay for them. A credit card represents a loan agreement where you are offered credit, providing you pay off a minimum amount each month. You can charge purchases up to the amount of your credit limit and pay for them later.

If you clear your balance in full each month, you don’t pay any interest on the money you have spent. But, if you don’t, you’ll normally have to pay at least 3-5% of the balance, and interest will be charged on the outstanding balance. Some cards charge you an annual fee.

A credit card allows you to live now and pay later. When you successfully apply for a credit card, you will be advised of your credit limit. Ensure you stay within it, as exceeding it could result in either your card taken away from you or being charged interest on the extra credit you incur.

Charge Card

This is very similar to a credit card, although the monthly balance must be paid in full. An example of a type of charge card would be an “American Express” card.

Cheque guarantee card

If you’re paying for goods or services with a cheque, you’ll probably be asked for a cheque guarantee card. This means the bank will normally pay your cheque up to the amount guaranteed.

Store Card

A restricted form of credit, store cards act as credit cards in those shops that the card is accepted. Purchases are made using the card, and then a consolidated bill is sent at the month’s end, which is then settled in a manner similar to a credit card.

Deciding which plastic card to use can be confusing but it can help you to reach a decision if you know what you want to use the card for.

If you just need it as a substitute for carrying cash, rather than use a credit card, you may as well use a debit card, which takes the money from your bank account directly.

If you like to pay your balance off each month, a charge card might suit you.

If you want to pay off your debt in instalments, choose a credit card.

You may freely reprint this article provided the author’s biography remains intact:

About The Author
John Mussi is the founder of Direct Online Loans who help UK homeowners find the best available loans via the http://www.directonlineloans.co.uk website.

Credit Card Security

Filed under: Web Of Mathematics — admin at 2:59 am on Tuesday, April 8, 2008

This is the age of plastic money. It’s not uncommon for the typical consumer in the western world to go weeks at a time without ever handling a coin or bill. Everything we need is available to us with the simple “swik-swik’ sound of a credit card sliding through a reader. Supplies for the office, flowers for the wife, meals and drinks out, and an endless supply of useful products available for sale through the Internet can all be bought with naught a cent to be seen.

The big question is: “How safe is all this plastic?”

Cash has its obvious benefits. When you buy a sandwich for $2.95 and you hand the cashier a $5 bill, you know you haven’t been ripped off when he hands you $2.05 right then and there. But when you hand your card to a waitress at the local chain restaurant, how do you know she hasn’t taken a moment to sneak into the office and copy your card number and signature? You don’t, and the implications of this question are having a serious effect on credit card companies and the merchants they do business with.

In response to these issues, the big credit card companies have developed more secure ways to do business. MasterCard International and Visa got together and came up with a set of guidelines called the Payment Card Industry Data Security Standards. This is a list of 12 guidelines that imposes strict regulations on all transactions taking place between the card company and the merchants it trades with. While these standards have been in place since 2005, merchants are taking some time to catch up to them. However, in the past year there has been marked improvement, and both credit card companies have stepped up their tactics to the point where merchants may be experiencing losses of service if they do not fall in line soon. (You can read the 12 guidelines and the details of this plan on the homepages of Visa or MasterCard.)

Discover Card has responded to the pressure for more secure methods with it’s own program. They call it the Secure Online Account Number program. Anytime you use your Discover card to purchase a product online, their program will generate a random account number to “stand-in” for the one on your card. You then send this number to the merchant in place of the real number. When the number is verified with Discover Card, it will link to your account and the purchase is charged to you. The benefit of this system is that the merchant never sees your true account number. Only you and Discover Card have access to it. Once the transaction is completed the randomly generated account number is no longer valid, so any attempts to use it result in denial.

A security method that online merchants are employing is the requirement of a shipping address that matches the billing address on your credit card. This is to guard against thieves who may steal your account number but will have no access to your billing address. This way, if your card is stolen, it can only be used to make purchases that will ship to your address. Any prospective thieves will have to pick up their orders from your mailbox, not something the average anonymity-seeking thief will want to do.

There are also third party systems in place for ensuring online credit card security. VeriSign’s SSL (Secure Sockets Layer) technology is the leader in the field. VeriSign will give each merchant it conducts business with 2 “keys” (like coding alphabets), a public key and a private key. The public key is used to encrypt information, and the private key is used to decipher it. VeriSign’s technology now offers this encryption in 128- to 256-bit encryption, which provides a nearly un-guessable number of possible combinations of codes.

This article has been provided courtesy of Creditor Web. Creditor Web offers great credit card articles available for reprint and other tools to help you search and compare credit cards.

A Road Map To Avoiding Credit Card Hazards

Filed under: Web Of Mathematics — admin at 11:44 am on Tuesday, April 1, 2008

Accident Ahead: 10 Credit Card Traps

1. More Late Fees Credit card companies are reaping more profit from late fee income than ever before, for three reasons: (1) the average late fee more than doubled between 1992 and 2000, from $12.53 to $27.61, (2) companies have decreased the amount of time between when they mail a bill and when payment is due, and (3) nearly two-thirds of companies have eliminated leniency periods, (the time after a payment’s due date before a late fee is assessed).

2. Higher Over-the-Limit Fees In 2000, only one card charged a fee of less than $20 to consumers who had exceeded their credit limits. The highest fee was $35. In contrast, a 1995 survey found only one bank that charged a fee of $20 or more. Many companies assess this fee to cardholders who exceed their limits by as little as $1.

3. Hidden Transaction Fees Fees for cash advances, balance transfers, and quasi-cash transactions like the purchase of lottery tickets significantly raise the cost of these transactions. But the terms governing these transactions are buried in the fine print where consumers can easily miss them. Minimum fees, also stated only in the fine print, allow credit card companies to guarantee themselves high fee income regardless of the transaction amount. For example, if XCard has a transaction fee of 3% and a minimum of $10, a cardholder who receives a $50 cash advance will be charged the minimum, $10, which amounts to an actual transaction fee of 20%.

4. Punitive Annual Percentage Rate (APR) Increases The average penalty APRa higher interest rate triggered by a late or missed paymentis nearly eight percentage points higher than the average regular (non-penalty, non-introductory) APR. In 1998, by contrast, penalty APRs were an average of 4.5 percentage points higher than regular APRs.

5. Declining Grace Periods While grace periods (the time during which a transaction does not accrue interest) historically were a full month long, they now average 23 days. Some cards have no grace periods at all.

6. Introductory APRs Fifty-seven percent of card offers advertised a low introductory APR. The average introductory APR was 4.13% and lasted an average of 6.8 months. But credit card companies use low, short-term introductory APRs to mask regular APRs that are an average of 264% higher. These sharp rate increases are not prominently disclosed.

7. Low Minimum Payments Low minimum monthly payments are designed to sound attractive to consumers, but they encourage cardholders to pay more in finance charges as the length of time required to pay off a balance increases significantly. Credit card companies have decreased minimum payments in recent years from the historic industry standard of 5% to a current standard of 2% to 3%.

8. “Fixed” APR Despite their name, so-called “fixed” interest rates can be raised with as little as 15 days notice to cardholders.

9. “Bait and Switch” Credit Card Offers Direct mail credit card offers generally advertise the premium card the bank has to offer, yet the fine print includes the caveat that the company can substitute a lower-grade, non-premium card if the applicant does not qualify for the premium card. The lower-grade card costs more and offers less attractive terms, facts which are rarely mentioned in the official disclosures of the offer.

10. Tiered Pricing This new, anti-consumer practice is catching on quickly with credit card companies. In an offer, the company quotes a meaninglessly-wide range of possible APRs: Providian’s Aria card, for example, quotes a range of 7.99% to 20.24%. The company then assigns an APR to each applicant once the card is issued, based on the applicant’s credit history. Consumers are thus being denied the right to know the terms of a credit card before they accept an offer.

Thomas Lindstrom is author and researcher on buy tips and use advice for different kind of credit cards available on today’s market. Url: http://www.greatestcreditcardsite.com