Mathematics Tips
Archived Posts from this Category
Algebra - what is it?
Algebra is a wide category of mathematics that uses abstraction by replacing 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 pupils find it fun to play around with. Algebra topics extend by working through simple tasks such as factoring polynomials and eventually progressing on to finding the product of matrices. Most individuals start to try Algebra by adding, subtracting, reducing and simplifying fractions. later on, they would move on to more advanced stages of solving algebraic equations using the least common multiples and converting fractions in to decimals.
Help!!! Exponents, Radicals and Graphing on the Way…
There are many another advanced themes. First there are exponents. A power is the little number placed to the right and slightly above a number or algebraic expression. In this example (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 powers you will oftentimes see exercises that require you to add, subtract, multiply and divide. You can work with rational 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 reversing of an power. The V beside 4 denote a radical expression which means, the square root of 4, which equals 2. The inverse exponential equation is 2^2 which is read, 2 to the 2nd power, and equals 4. Equally with exponents, radical expressions can be added, subtracted, multiplied and divided. Radicals can be changed into powers and exponents back into radicals. If exponents and radicals aren’t enough, there is always graphing. The best way to start with graphing is to draw lines and try to figure out if they are horizontal, vertical or neither. Does the line have an x-intercept or a y-intercept? Furthermore, try and see if you can find the slope of a line. Once you master graphing lines, a whole world of circles, parabolas and hyperbolas awaits you!
Need 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 topic. Look for math tutors or software programs that will walk you through stepwise 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 expert in very little time.
Oct 18 2009 10:19 am |
Education Portal and
Mathematics Tips and
Science Hall |
Comments Off
Algebra - what is it?
It is an area of mathematics that use letters in place of numbers to derive results for a given situation. 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 pupils find it fun to play around with. topics of algebra extend from working with equations to factoring binomials all the way to finding the inverse of a matrix. In many cases, just as in any other maths related class, students begin by adding, subtracting and simplifying algebraic expressions. later on, they would move on to more advanced stages of solving algebraic equations using the greatest common factors and converting fractions in to decimals.
Exponents and Radicals and Graphing Oh My!
There are many another higher level subjects. First there are exponents. An exponent 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 power and denotes the power to which that number is exponentiated. The above algebraic expression is read as, x plus y to the third power. In working with exponents you can add, subtract, multiple or divide them. You can work with rational 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 reversing of an exponent. Radical expressions are denoted by the symbolic representation “V” and when placed beside number 4, it is read as square root of 4, which is equal to 2. The inverse of “V” symbol is “^” which denotes that the number it refers to is a multiple of the principle number. Therefore, 2^2 which is read as 2 to the 2nd power, equals 4. As with exponents, radical expressions can be added, subtracted, multiplied and divided. Radicals can be converted into exponents and powers back into radicals. If exponents and radicals aren’t enough, there is always graphing. The best way to start with graphing is to draw lines and try to work out if they are horizontal, vertical or neither. Does the line have an x-intercept or a y-intercept? Furthermore, try and see if you can find the slope of a line. you master the mathematical art of graphing, you will identify a whole new world full of parabolas and hyperbolas.
Help is Available
If you are learning algebra and this all seems a little too much, don’t scratch. It’s time to look around because there exists a wide array of resources that is able to help you master the study. The custom is to decide on a math tutor, but the modern algebraic software are no different. In fact, they are better than math tutors. Know that frustration is not your only friend because any of these instruments can assist you become an algebra guru in very little time.
Jun 27 2009 01:20 pm |
Education Portal and
Mathematics Tips and
Science Hall |
Comments Off
Algebra as a Scientific Study
Algebra scientific discipline is the subdivision of mathematics that is interested in the study of structure, relation, and quantity. Algebra addresses working with numbers, variables, sets of elements and also vectors as in linear algebra. You can assume algebra as one of the most distinguished branches of mathematics, if not the most primary. Algebra includes categories such as Linear algebra, Universal algebra and Algebraic geometry.
Require Assistance in Studying Algebra?
Diverse software applications have been written to aid students studying algebra at unique levels, such software help students to go through their classes gradually and develop algebraic problem solving techniques . Nearly all types of algebraic problems can be solved using these software applications because they support and aid to work around different cases of equations, formulas and inequalities. If you’ve been struggling to solve quadric, simultaneous, exponential or radical and linear equations , you need not worry any more. These software applications most probably will contain an algebraic tutorial and a wizard too; Moreover, algebra calculators facilitate a lot of algebraic functions for students interested in mathematics.
The Big Picture on Algebra
most students forever wonder why we study algebra; they see no end of it. Well, if we were to talk about usefulness of algebra, then it has both direct and indirect gains, which I think, algebra students should be aware of. The indirect benefit of studying algebra could be abstracted in working the mental capacity in an unified pattern. As in the direct benefit, algebra has a heap of uses in different sciences and organizations.
In reality, algebraic applications are used around us, all the time such as in industries etc, for instance in robotics research or aerospace applications. Also, in various science researches like physics, quantum mechanics, Informatics and even in the military; in this article we shall explore how algebraic knowledge is applied in to IT.
Algebra and IT
Comparative algebra concepts were the basis for the relational database concept. Also, simple algebra was used in simulating of complex XML models and building XML database management systems. Moreover, we can pinpoint usage of algebra for ROM-based Procedural Language and ALF- Algebraic Logic Functioning programming language.Some other higher programming languages developed for the role of solving algebraic problems as AML-Algebraic Modeling Language, where this language describes the complicated problem, such as complicated optimization problems, then calls certain external algorithms to solve the problem.
Mar 20 2009 04:04 pm |
Education Portal and
Mathematics Tips and
Science Hall |
Comments Off
How can debt be good? We’re told to avoid it at all costs. That debt is bad. And believe me, I know that too much bad debt can restrict your choices and options. But on to good debt, what does that mean? It is often related to borrowing for investing.
Debt is defined as an obligation or a position of owing. You owe something to someone. It is the why that makes it good or bad. Let me show you.
If you borrow money, i.e. put it on your credit card, to buy a meal or go to a play, that money is gone. If you pay the debt off before any interest is due, fine. But if you pay interest on something that has no lasting value, that is bad debt.
Now, if you borrow money for investing or to create something which in itself creates more value or money, it is a good debt. For example, if borrow money to loan out for 10% and because of your credit history can borrow it for 5%, it may be a good decision to create this debt for yourself. Of course, no real situation is this simple, but I think you get the idea.
Good debt is especially important in business and areas like real estate investing. Whenever you finance an endeavor like a business, you need to generate positive cash flow as quickly as possible. Business and investing always have inherent risks, and entrepreneurs are always calculating and taking risks. Nothing is a sure thing. But risk and debt are a common part of business.
Good debt means that you are most likely to make more money because of the reason you borrowed the money than the cost of borrowing the money.
Stephanie Mundle is the managing editor of http://www.MoneyMasteryForum.com an informational forum site for the average investor. Take a look. Information on forex, debt, money management, investing and business.
Come check out the forum at http://www.MoneyMasteryForum.com/forum.html
country.html
May 04 2008 05:14 pm |
Mathematics Tips |
Comments Off
Your credit score may just be a little number, but it packs a big punch. A poor credit score can keep you from getting a mortgage or a car loan. In addition, your credit score may haunt you for a long time if it suddenly drops. Of course, if you have a good credit score it opens a lot of doors for you. This is just one reason why it is important to think about which credit card you apply for before you do.
Every time you apply for a credit card, the company has to check your credit score. This is a bad thing. Numerous inquiries from credit card companies look bad on your credit report because it looks as though you are scrambling to open lines of credit, which can be a sign that you are struggling financially. Of course, this may not be the case. However, credit scoring companies all look at it the same way.
You can avoid scarring your credit score with credit card applications by choosing your card wisely. Choose a card that matches your lifestyle and works for you instead of against you. If you plan to pay off your balance each month, you might want a charge card instead of a credit card. American Express offers a number of charge cards with flexible spending programs that are perfect for people who plan to pay off their balance each month. They also offer some flexibility so that if you have an emergency you can use the card and pay off large charges over time. In addition most of their cards offer you reward points for using the card. On the downside, American Express charges an annual membership fee for having the card.
If you do not plan to use the card often, but plan to make large purchases on the card, which you will pay off over time you should get a revolving credit card, which allows you to carry a large balance over time. Of course there cards require you to pay interest on everything you buy. Interest expenses can get very high.
Other kinds of cards include:
1) A check guarantee card, issued by your bank, that you can use to ensure that your cheque will be honoured up to a certain limit.
2) A debit card, issued by your bank, where whatever you spend is immediately deducted from your bank account
Do you need a credit card?
a) A credit card means you don’t need to carry huge amounts of cash around and risk losing it.
b) A credit card means you can buy items over the internet.
c) A credit card means you can make purchases abroad without having to worry about local currency.
d) A credit card gives the opportunity to spread the cost of a large payment over several months.
e) A credit card is useful in an emergency. For example, an unexpected repair to your house or car.
What You Need To Consider:
1) APR (Annual Percentage Rate)
This is the rate of interest that you will pay on any outstanding balance.
2) Special Introductory Rates
You may be offered a low or 0% rate of interest for a limited time (Up to 6 months) when you sign up for a new card. A higher rate of interest may be charged for cash withdrawals.
3) Balance Transfer Rate
Card issuers may offer you a lower rate of interest if your swap your balance from another credit card to theirs.
4) Interest Free period
Remember to check when interest payments will begin. Will you pay interest from the day of the purchase? Or will you have a number of days interest free before you begin to pay? There is usually no interest free period for cash withdrawals.
5) Cashback and Rewards
Some cards over points or rewards for every pound spent on the credit card. Make sure that these are appropriate for you. For example, there&’s no use collecting airmiles if you never fly.
6) Minimum Repayment
Remember to check what the minimum monthly repayment will be. If you borrow £1000 on your credit card the monthly minimum repayment will probably be in the region of £25. But if you only pay this amount each month it will take a long time to pay off the balance and cost a lot in total when you include the interest payments.
7) Annual Fees
This is the fee that the issuer will charge you every year for using their credit card. Not all credit cards have an annual fee, so remember to consider this when you are choosing which one is right for you.
Late Payments
There will be an extra charge, as well as the interest owed, if your payment is late. This charge may even be more than the amount you owe so be very careful to check what the charge is, and to ensure that all your payments are made on time. A good way of doing this is to set up a direct debit from your current account.
9) Exceeding Your Limit
You may also be charged a fee if you exceed your credit limit.
Choosing the right credit card is a complex decision, but it can be made easier by using the free online credit card finders at http://www.creditcardbuzz.com.
Stephen Kelly is a financial advisor and the founder of Credit Card Buzz (http://www.creditcardbuzz.com). A free site with credit card reviews, ratings, analysis and online applications.
May 02 2008 07:43 pm |
Mathematics Tips |
Comments Off
Who doesn’t love a free gift? A person with great credit can many credit card offers in the post! This is because credit card providers use the concept of risk measurement to determine who should receive a credit card. And if your credit rating is good, you seem to be a good risk to the credit card providers.
Many of their offers are very attractive. For example, they may offer you such incredible deals as no annual fees, low interest rates, high limits, and even additional cards for family, or they may give you plenty of extra rewards and limited time offers just for signing up.
While it’s nice to get offers like this in the mail, you probably want to be careful that you shouldn’t jump on each one that comes your way. This can be very dangerous! This is because each card you have increases how much potential debt you have available to use (even if you’re not using it) and that increases the amount of risk you may be in the eyes of the lending institutions.
It’s a dark spiral, really. Your credit is good so you’re thought of as a good risk. Because you’re a good risk you get lots of cards. But because you get lots of cards you’re thought of as a bad risk! Even if you don’t use all of the available credit limit on your cards, the availability is there and that’s what lending institutions look at.
So how do you fix that? First, don’t sign up for every card that comes your way. Thoughtfully select just a few cards that might be good and throw away the other offers. Select a handful of cards that offer low interest rates, a healthy limit (but not too high), and some points or rewards on regular purchases.
And, if you find that your debts have gotten out of hand from excess credit cards, you may want to consider pulling it all together through a debt consolidation loan. A debt consolidation loan gives you the benefit of getting a fixed monthly payment (rather than an unknown variable payment) and a lower interest rate and usually over a longer period of time to repay.
So credit cards aren’t necessarily a bad thing. We need them in this day and age. But what you need to do is approach them thoughtfully, selecting the best and discarding the rest. And if things have gotten out of your control, consolidate your debt to get control of it again.
Mark Lambie is the founder of Loan Source, a website for UK residents seeking secured loans. Visit our website today for a free Home Owner Loan quote and find out how much we can save you.
Apr 17 2008 01:38 pm |
Mathematics Tips |
Comments Off