- Darusha’s Network » read post
-
Uses and Applications of Algebra
- March 13th, 2010
We can assert that Algebra is the core of mathematics. An in depth knowledge of algebra and its basics is required before you could work on more complex mathematical problems. If someone asks you to derive 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 most definitely, you will need some kind of algebraic calculator 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 package can help you a lot since you only need to enter the inequality and graph will be plotted within no time. These packages can very easily solve any kind of algebraic, arithmetical and radical expressions of any kind of complexity.
Finding Domain and Range of a Function
Now it is very easy to derive 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 calculators, you can now solve these complex sums in no time while being able to comprehend every step of the way that it takes you to successfully solve 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 systems. In addition, subtraction and multiplication of binomials , you are more likely to become fatigued 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. 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 software programs will make this task much simpler.
So, with the introduction of algebra software, the times where you feared the sight of indices, rational numbers or 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 solve everything you ever need.
