What Do We Do about Algebra?
Posted in Better Science Savvy, Schools + Schooling, Web Of Mathematics on July 27th, 2010We can say that Algebra is the center of mathematics. An in depth knowledge of algebra and its basics is required before you could work on other mathematical problems. If someone asks you to calculate the product of 223 and 112, you can easily do it manually or with a computer. But when it comes to exponential (e) of 223 and logarithmic (log) of 112 then obviously, you will need some kind of algebraic calculating machine or algebra problem solver. Graphing a circle will be easy for this given formula X2 + 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 can help you a great deal because once you enter the inequality in the program, the graph will get drawn automatically within a fraction of second. These kinds of software packages can very easily resolve any kind of algebraic, arithmetical and radical expressions of any level of difficulty.
Looking for Domain and Range of a Function
Although, deriving 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 thanks to algebra calculators, 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 resolve the mathematical question.
Coordinate Geometry
It is now, easier than ever to find the vertex and directrix or whether a parabola opens up or down, using algebra software packages. Addition, subtraction and multiplication of binomials are quite dull, since they involve lots of terms to manipulate. But algebra calculator will do this job in much less time and with 100% accuracy. Solving determinants and matrices of 3×3 or 4×4 order can become very tough since it involves lots of calculation; getting inverse of matrices even more so. However using algebra calculating machines will make this task much simpler.
So, with the introduction of algebra software systems, the times where you dreaded the sight of indices, rational numbers or fractional equations, comes to an end. If you could not stand geometry, you may even start liking it afterwards thanks to the computerized algebra calculators that will automatically plot everything you ever need.