The Relationship Between Algebra and Calculus
Algebra and calculus are two different fields but depend on each other to some extent. This means that for a student or any other person to have the basic skills for calculus, studying algebra will be helpful to master and know about a couple of methods that can be used to solve problems. During the start, there may be some difficulties in mastering certain steps but after a while, things will get better. The first thing to do even before the start of such a course is to develop a positive attitude. This will be important to set the mood and put the mind in order and perform well as some calculations will be required along the way.
For a beginner, there are certain skills in algebra that are easy to learn and can get things started. Factoring involves expanding the digits using the brackets and raising them to a given significant figure like two, three, and so on. These significant placed out of the brackets are the rational exponents and are useful when it comes to factoring of digits. Coming up with the greatest common factor involves checking for the smallest exponent that may be uniform among all the available brackets. The student will have to know pf ways of recognizing the common patterns that keep appearing like the difference of two squares, cubes, and their sum.
Another important skill to master is that of completing a square. The basic things to know about here are the equation and expression used in the problem that needs to be solved. When completing the square, the person will have to factor out the given numbers by placing them in brackets enclosed with the smallest exponents. There are two ways of performing this operation, so the choice will depend on how comfortable a student will be when doing the calculation. A person can either add on both sides of the equation or add and subtract on the same side.
The subject of basic functions can be used to pump in the information and stick to the mind. These functions and transformations are the building blocks of calculus as they aim at the main subject necessary for foundation. This is done by sketching a graph to determine the range of basic functions and the domain. Points are then obtained by selecting a part located on the axis before noting down, and performing more calculations.
Simplifying the expressions involve mapping the result obtained at the end of the calculation in the easiest and presentable format. This is done by combining the terms having similar properties especially based on factors such as the exponents and the nature of digits. The student should also be familiar with ways of working with formulas like finding the area and perimeter of squares, rectangles, ovals, and circles. Solving the different variables and combining formulas will be the best way of getting started. With the knowledge of algebra, the sharpening of the trigonometry skills will be easy, which is required when it comes to learning about calculus.