May 1, 2009
Why You Must Learn Algebra
It is safe to say that algebra is the center of mathematics. If you genuinely want to know about mathematics and its basics then you should have a clear and in depth knowledge of algebra. Deriving the answer for the product of 223 and 112 is quite easy if you use a computer. However, in a case where you need to work around the exponential of 223 and logarithm of 112, you will certainly need an algebraic problem solver. Graphing a circle will be easy for this given formula X 2 + Y2 = 4 but when it comes for an inequality like (X-2)2 + (Y-4)2 > 20 then it will be quite harder to plot the graph. In this situation algebra software package can help you a great deal because once you enter the inequality in the program, the graph will get plotted automatically within very little time. Such software can easily work out any kind of algebraic, arithmetical and radical expressions of any kind of difficulty.
Finding Domain and Range of a Function
Now it is very easy to work out the domain and range of functions like Y = X2, you can just tell that X and Y can take any real number from the X-Y plane but have you ever thought of defining the domain and range of log(tan 2x + sin 3x) = cosine(-4)(2x). But thanks to algebra calculating systems, you can now solve these complicated sums in very little time while being able to understand every step of the way that it takes you to successfully work out the mathematical question.
Coordinate Geometry
Now you can easily find the vertex and directrix and whether parabola opens up or down by just feeding the equation into algebra software system. In addition, subtraction and multiplication of polynomials, you are more likely to become tired because they require a lot of terms to be manipulated. However, by leaving the job up to algebra calculators, you will be able to get results within a shorter period with 100% accuracy. Similarly, algebra calculators can save the trouble for you in calculating matrices of 33 or 44 order or its opposite matrices.
So now you need not to start worrying when you see indices, rational numbers or exponential equations. Parabolas, hyperbolas or ellipses can all be easily graphed within computer algebra systems.
Filed at 12:14 pm under Internet Mathematics Resources, Science Hall, Teaching + Training
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