Algebra and Symbolic Thinking
March 9th, 2010We can assert that Algebra is the heart 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 derive the product of 223 and 112, you can easily do it manually or with a calculator. But when it comes to exponential (e) of 223 and logarithmic (log) of 112 then most definitely, you will need some kind of algebraic calculating machine or algebra 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 lot because once you enter the inequality in the program, the graph will get plotted automatically within very little time. These software packages can very easily work out any kind of algebraic, arithmetic and radical expressions of any kind of complexity.
Finding Domain and Range of a Function
Now it is very easy to calculate 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 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 Application. In addition, subtraction and multiplication of binomials, you are more likely to become tired because they require a lot of terms to be manipulated . 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 reverse 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.











