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Algebra is a branch of mathematics that deals with properties of operations and the structures these operations are defined on. Algebra uses letters and symbols to represent numbers, points, and other objects, as well as the relationships between them. It is an important life skill that emerges as a prerequisite for all higher-level mathematical education as well economic program. There are 5 reasons for studying algebra. Firstly, algebra can help us in our career. As we know, the qualification that needed by students to access to college or get a degree, especially for the course like economics, engineering and so on need a basic mathematics. So the student that getting a good grade in mathematics opens up more career choices.
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Even though we do not use algebra as a daily basis in one day, however, our brain will have been trained to think in a logical way, which not only helps us in the workstead but also in daily life. For an example, when choosing which cloth to select, or trying to work out.
Thirdly, algebra helps us understand numbers better. Studying algebra helps us get better at solving problems which involve only numbers eventhough sometimes we did not realize it. Besides, it is likely that they would be worse at solving numerical problems if they do not study algebra, and their understanding of how numbers work would not as be as good. So we should thank algebra whenever we find a solution to solve the complicated arithmetic problem.
Fourthly, algebra helps develop critical thinking skill. For an example, algebra ii develop abstract thinking and reasoning skills, which help students weigh options and make wise decisions. As we had studied that algebra has so many steps to get the answer to one questions. So students can choose which one they think are easier for them to find the
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Calculus primarily concerned with functions, limits, derivatives, and integrals. Calculus is the study of change that basically focuses on the rate of change (differential calculus) and accumulation (integral calculus). Fundamental Theorem of Calculus links the differential calculus with the integral calculus. The theorems show how, in some sense, integration is the opposite of differentiation.
In the economics, analysis usually uses quantitive methods when reviewing specific information in an economy. Quantitive methods are mathematical or statistical calculations that provide economists with directional for comparing the current economic synthesis to those of former periods. Economist usually uses various types of math to do everything in economics to ensure their personal judgments, theories or inferences are supported by meaningful calculations.
Besides, basic examples of an economic model are the supply and demand graph. The differential calculus is applied to original supply and demand models to determine how different factors will shift the lines representing supply or demand in an economic market. Economic models are also used to demonstrate various inferences or theories proposed by
Algebra is one of the major parts in exams like GRE and ACT so that all college students and high school students need to learn. In order to get a good grade, students are willing to spend hours and hours studying hard on things like matrices and equations. When they are wondering why they have to learn things so difficult and if this knowledge would be useful in the future time. Andrew Hacker, the author of "Is Algebra Necessary?", thinks not. In his editorial, he argues that students, especially those who are not majoring in math, should not be forced to learn high-level math. His arguments are very effective because he successfully uses logos, pathos and ethos in his editorial. The usage of the rhetorical triangle made his editorial logical,
Math is everywhere when most people first think of math or the word “Algebra,” they don’t get too excited. Many people say “Math sucks” or , “When are we ever going to use it in our lives.” The fact is math will be used in our lives quite frequently. For example, if we go watch a softball game all it is, is one giant math problem. Softball math can be used in many
A key aspect of developing skills in maths is that the purpose of it is understood and that they can go on to apply this to real life situations i.e. to solve problems, to process information, to check answers, to interpret data, charts and diagrams, the understanding of money and how to manage finances, to use in practical every day activities. Mathematical skills are therefore developed in the earliest stages through practical work, which provides a child with a grounding in various aspect of maths such as shape, pattern, counting, sorting etc. these basic skills are then built upon as a child progresses..
* In calculus, differentiation is the process of finding the derivative which means measuring how a function changes with respect to its input. The derivative of y with respect to x is given by [(dy)/(dx)] .
I also learned that mathematics was more than merely an intellectual activity: it was a necessary tool for getting a grip on all sorts of problems in science and engineering. Without mathematics there is no progress. However, mathematics could also show its nasty face during periods in which problems that seemed so simple at first sight refused to be solved for a long time. Every math student will recognize these periods of frustration and helplessness.
How Will I Use Math in Everyday Life All throughout the days I spent in school sitting in math class learning Algebra, Geometry, and the various other math courses, I pondered whether or not I would ever even use these math skills in my life. The sad truth is that you will most likely use most of the math skills that you learned throughout high school in everyday life. There are honestly so many different ways you can use math in life, like buying a car, your weekly trip to the grocery store, and even at home. It honestly hurts you to not pay attention because you will in fact use math in your everyday life. There are many different ways that math is used at home, just like everywhere else.
Teacher’s don’t provide enough practice problems for students to solve. Learning any subject in math takes plenty of practice, so the more homework problems a student completes, the more they will understand the algebra concept. Practice crucial for mastering math concepts. Students also need to be encouraged to complete practice problems, which can be achieved by earning completion points or a grade for the assigned homework.
One job the requires algebra is an Animator. Animators have to draw all kinds of pictures and cartoons and it requires them to use linear algebra for every movement a character or object may make. Algebra also helps create special effects to make the images shine and sparkle. The requirements you must have to do this type of job is that of course you have to have talent, some type of degree in animation, and be pretty decent in math. Animators make around $47,000 a year.
Many years ago humans discovered that with the use of mathematical calculations many things can be calculated in the world and even the universe. Mathematics consists of many different operations. The most important that is used by mathematicians, scientists and engineers is the derivative. Derivatives can help make calculations of anything with respect to another event or thing. Derivatives are mostly common when used with respect to time. This is a very important tool in this revolutionary world. With derivatives we can calculate the rate of change of anything with respect to time. This way we can have a sort of knowledge of upcoming events, and the different behaviors events can present. For example the population growth can be estimated applying derivatives. Not only population growth, but for example when dealing with plagues there can be certain control. An other example can be with diseases, taking all this events together a conclusion can be made.
To demonstrate the use of calculus, we will be taking certain examples and solving them
Question # 1 : Describe in detail the importance of calculus and analytical geometry in our life with reference to its uses in computer science as well as in real life?
Subjective value arises from individuals' preferences, and so influences economic agents' behaviors. In microeconomic theory, supply and demand attempts to describe, explain, and predict the price and quantity of goods sold in perfectly competitive markets. It is one of the most fundamental economic models and it is used as a basic building block in a wide range of more detailed economic models and theories. Price is the going rate of exchange between buyers and sellers in a market. Price theory charts the movement of measurable quantities over time, and the relationship between price and other measurable variables.
In my previous studies, I have covered all the four branches of mathematics syllabus and this has made me to develop a strong interest in pure mathematics and most importantly, a very strong interest in calculus.
Devlin believes that mathematics has four faces 1) Mathematics is a way to improve thinking as problem solving. 2) Mathematics is a way of knowing. 3) Mathematics is a way to improve creative medium. 4) Mathematics is applications. (Mann, 2005). Because mathematics has very important role in our life, teaching math in basic education is as important as any other subjects. Students should study math to help them how to solve problems and meet the practical needs such as collect, count, and process the data. Mathematics, moreover, is required students to be capable of following and understanding the future. It also helps students to be able to think creativity, logically, and critically (Happy & Listyani, 2011,
Logic and mathematics starting with basic arithmetic showed me how to follow steps, one at a time and one after another, to arrive at the results, one step at a time and after another. I learned that an error in one step will make all the following steps and results wrong. Mathematics like any other rule and pattern based discipline may show through experience and trial or error, how to solve problems first by following given methods and later, if needed, by combining and exploring different methods.