June
2009
The Algebra Gain
We can assert that Algebra is the core of math. If you really want to know about mathematics and its fundamentals then you should have a perfect and thorough knowledge of algebra. Deriving the result 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 software application. 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 program can help you a lot since you only need to enter the inequality and graph will be plotted within a fraction of second. Such software systems can easily resolve any kind of algebraic, arithmetic and radical expressions of any kind of difficulty.
Domain and Range of a Function
Now it is very easy to find 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 each and every step that it takes you to successfully solve the mathematical question.
Coordinate Geometry
Now you can easily find the focus and directrix and whether parabola opens up or down by just feeding the equation into algebra software package. In addition, subtraction and multiplication of polynomials, you are more likely to become drained 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.
