Algebra - Is it All Just Theory?
Posted on 08 Sep 2009 at 03:31 pm | Tagged as: Education Online, Mathematics Stuff, Science Stuff
We can say that Algebra is the heart of mathematics. An in depth knowledge of algebra and its basics is required before you could work on more complex mathematical problems. Deriving the answer for the product of 223 and 112 is quite easy if you use a calculating machine. However, in a case where you need to work around the exponential of 223 and logarithm of 112, you will surely 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 applications can help you immensely since you only need to enter the inequality and graph will be plotted within a fraction of second. Such software packages can very easily resolve any kind of algebraic, arithmetical and radical expressions of any kind of difficulty.
Looking for Domain and Range of a Function
Although, working out the domain and range of a function such as Y = X2 can be easily found by considering the number range on the X-Y plane, defining the domain and range of a log(tan 2x + sin 3x) = cosine(-4)(2x) will be excessively difficult. But now you can solve such critical and complex problems with an algebra calculator without breaking sweat and you will also be getting all the steps as well
Coordinate Geometry
Now you can easily find the vertex and directrix and whether parabola opens up or down by just inserting the equation into algebra software. Addition, subtraction and multiplication of polynomials are quite deadening, since they involve lots of terms to manipulate. But algebra calculator will do this job in much less time and with 100% accuracy. Similarly, algebra calculators can save the trouble for you in calculating matrices of 33 or 44 order or its inverse matrices.
So, with the introduction of algebra software programs, the times where you feared the sight of indices, rational numbers or non-linear equations , comes to an end. If you could not stand geometry, you may even start liking it now thanks to the computerized algebra systems that will automatically plot everything you ever need.
