Every one of us at some point in time beseeched God to make the Maths paper as simple as he could. The reason why Maths has always been a spine-tingling subject of our curriculum is its constant learning of formulas that made us indulge in a mental challenge all the time.
Every student who enters into a high school or elementary school gets introduced to this chapter in Maths. A chapter which was sufficient enough to give those exam jitters to us and everyone like us in the school. However, if it is not a part of our curriculum, many students might not get the heights in their careers they always aspired.
Algebra is a branch of mathematics that deals with symbols and following rules that helped in maneuvering those symbols. In elementary algebra, these symbols represent quantities without a fixed value more commonly known as variables. Simply putting it, algebra is all about finding the undefined variables into equations and finally solving them.
It is that branch of mathematics that substitutes letters for numbers, and it is an algebraic equation that represents a scale on both ends on what is done. Algebra constitutes complex numbers, real numbers, matrices, vectors, and various other forms of mathematical representations. The roots of algebra are as deep as in the BC. It is said that people of Mesopotamia used the then called Babylonians mathematics which took a form of advanced arithmetical system, now commonly referred to as ALGEBRA.
The Babylonians used algebra in those days, developed a course of formulas using Algebra to solve problems similar to today by using linear equations, quadratic equations, and many more similar formulas. Eventually, with passing time, it was the Greeks who officially first raised the curtains to introduce Algebra in the third century following the footsteps of the Babylonians. However, it was Rene Descartes who gifted us what we learn and use today in the form of Algebra through his book entitled La Geometry.
Now, that we gave a good dose of history and evolution of Algebra, let us talk about the importance of Algebra in real life. Yes, this is one such part of our mathematics curriculum which will and is helping many in their real lives. Self-study is a time saver, time being important as well as limited for students. A student can choose to do self-study from the confines of his home rather than getting tuitions from far off places. Another reason for its popularity is the advantage of it being cost effective.
Now, we are sure a few of these general equations rings a bell for many of you. The numbers and equations gifted by Algebra are frequently used in almost everywhere in this world shocking, No? Take, for example; you are out for grocery shopping. Now, the addition and subtraction are the only sources to help you keep yourself budgeted with the items in the cart.
However, for those who are not convinced of what to leave and what to take a cashier can help them using some formulation of algebra. Not many of you are aware, even the economists of every country takes the help of Algebra to understand the economy better.
Money is always a part that lands a person or an economy in a dilemma. In that case, algebra is the only source of help on can get through to solve the problems with how to subtract debts or loans that one has gained throughout the years.
Let us take an example; a person runs an online toy store, algebra is what will come in handy for him to calculate his profit margin on any given item and make up his mind whether that item is worth stocking. Astrologers predict various events on the basis of planetary movements. All these calculations are nothing but Algebra whose concept of linear or quadratic equation balancing comes into play when these predictions are made.
The Father of Algebra mentioned in the first half of this section did make use of Algebra to contribute to various findings related to astronomy and astrology in his time. Any innovations around us could not be possible without Algebra. If you decode the functioning of an LED TV and dig into its internal atmosphere, you will find that these TVs are making use of planes, angles, and axes as variables and apply algebraic concepts in the development of various types of screens.
The variations in monitor sizes without the problem of distortion of the picture are achieved with the help of Algebra knowledge that allows designers to fiddle with a variety of dimensional options. We all are budget planners in some or the other capacity. And, apparently, we make use of Algebra in structuring the budget so that all expenses, intended investment aims, and the overall cash in hand can be fixed and altered.
The changing conditions like inflation, an increase in the number of family members, etc. This is when you may appreciate the learning of Algebra, and its use in daily life. It is the most common activity that anybody does. And, it does involve Algebra quite deeply. Though you may not realize that you have used it, the fact still holds true.
For example, when you are trying to find the correct quantity of purchase of rice, you try to find its per pound cost to know about the real savings you are likely to make. Similarly, when you are choosing between various weights of the product and trying to match them with the appropriate vehicle that could carry it comfortably, you are making use of Algebra in a real-life situation. Not only interiors planning or landscape designing, in fact, but the whole of Architecture stream employs Algebra.
When the designers are trying to find the correct elevation or try to arrive upon the collection of things required to do a space, they make use of data like measurements of the space and that of the items to fit in. This is the Algebra use in real life that helps to understand how things are going to amplify the looks of the space and will contribute to the overall appearance of the space. Similarly, in an office environment, the decisions like moving to larger spaces to accommodate people or designing cabins are some of the premises where Algebraic calculations come into play.
While coding, the programmer is making use of datasets, strings, and variables. For example, the date of birth of a particular person, the normal human body temperature and capacity of a given container. Now we will see how to frame an algebraic expression. The rules are that variables are to be represented with alphabetic letters, say lower case a-z and constants in numeric form.
Amanda has 10 storybooks more than Alex. Express the number of storybooks Amanda has in terms of the number of storybooks Alex has. Sweets from a big box are equally distributed in 10 small boxes. Express the number of sweets in one small box in terms of the total number of sweets. Let us see how practical applications of algebra can be used to solve equations. This is an equation in the variable x.
This is the trial and error method where we substitute different values for the variable that satisfies the given equation. An equation has two parts which are connected by an equal to sign. Four circles balance one square and a circle on the other side. The idea is we have to find out how many circles will balance a square.
If we remove the circle from the left pan, we have only the square there. Since we removed a circle from the left pan, we have to remove the circle from the right pan also.
Then there will be three circles in the right pan. Now the balance looks like the one shown on the right.
This is called the principle of balances. Using balancing equations, we can solve equations in a systematic way. Benjamin's mother is three times as old as Benjamin. If Benjamin's mother is 39 years old, find Benjamin's age. The same quantity can be added or subtracted to both sides of the equation.
If the same amount is multiplied or divided on both the sides of an equation, it remains the same. Translating verbal descriptions into algebraic expressions is an essential initial step in solving word problems. Our first supposition is that Uma buys at least one ball of each kind. In Algebraic Geometry we study geometric objects and their assortment that are characterized by polynomial equations.
There are also cubic curves like elliptic curves and quartic curves like lemniscates and Cassini ovals. In real life, algebraic geometry can be used to study the dynamics properties of robotics mechanisms. A robot can move in continuous space with an infinite set of possible actions and states. When the robot has arms and legs that must also be controlled and the search space becomes many-dimensional.
Algebraic geometry is also widely used in statistics, control theory, and geometric modelling. We often see people using algebra in most aspects of daily life; for example- the people in the market make use of algebraic operations to calculate profit and loss incurred. This precise and concise mathematical language entwines in a beautiful way with almost all other subjects and even daily life.
In the early stages of development, an infant makes use of algebra to calculate trajectories and you might be surprised to know how! A week baby is able to assess the direction of an object approaching and is even able to determine the position where the object will land.
Babies easily estimate the distance between them and the toy and are also able to track the objects. What do you think is playing a role here? Despite the fact that the infants have no theoretical knowledge of the algebraic operations, yet they are able to make efficient use of it. In whatever field you want to strive ahead, algebra is going to be needed.
When a student goes from school to college, chances are that algebra will find a way in whatever subject a student opts. Most of the times, physical and chemical sciences employ the basics of algebraic equations.
In the case of computer sciences, the algorithms are based on the algebraic operations only. Moreover, algebra is involved in the field of art and architecture to calculate correct proportions so as to put forth a masterpiece.
Basic knowledge about the algebraic operations also prepares a person for the work front. Right from the time a person wakes up in the morning, algebra comes into play. Take for example- a person has a meeting in the morning, what is that person likely to do? What actually is happening here? The person knowingly or unknowingly makes use of algebra to calculate the time required to bathe, have breakfast or collect coffee, gather all important paperwork, and reach the office on time.
Now, this particular situation involves time, money, and distance and their accurate calculations to make it to the meeting on time. How do you think you make a perfect shot at the trash can? Yes, you guessed it right! You apply algebra in this case as well. While aiming at the trash can, you unconsciously calculate the distance between yourself and trash can, air resistance, the weight of the trash you want to throw away, required trajectory, and the force required so that the piece of trash lands into the trash can.
Your application of algebra while aiming at the trash can does not end here. You also estimate the strength of the nerve impulse which has to be sent to each muscle at the right time to contract or relax it.
0コメント