Algebra in Practice
Posted on 05 Oct 2009 | Tagged as: Education, The Maths Center, University of Science
We can assert that Algebra is the heart of math. 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 calculate the product of 223 and 112, you can easily do it manually or with a computer. However, in a case where you need to work around the exponential of 223 and logarithm of 112, you will surely 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 applications 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 very easily resolve any kind of algebraic, arithmetical and radical expressions of any kind of difficulty.
Looking for 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 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 inserting the equation into algebra software program. 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 inverse matrices.
So, with the introduction of algebra software, the times where you feared the sight of indices, fractions or non-linear equations , comes to an end. If you could not stand geometry, you may even start liking it afterwards thanks to the computerized algebra systems that will automatically simplify everything you ever need.
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