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Importance of mathematics and its relationship to other subjects pdf
Importance of mathematics in relation to other subjects
Importance of mathematics in relation to other subjects
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Mathematics has been referred to as the language of science, as everything man does involve mathematics, from the formulas we use to model the world, to the trials and measurements we use to test and apply our models. Mathematics is an excellent foundation for and is usually a prerequisite to, all areas of science and engineering. It provides the analytical part of all sciences even for Philosophy. Fasasi and Yahya (2016) asserted that Mathematics is the very basis of all sciences and technology, and therefore, of all human progress. Thus, if we must develop technologically and in our economy, we must put functional and technology policies in place. We must place mathematics in its proper perspective. (Fasasi & Yahya,2016). Mathematics is …show more content…
The analysis is the branch of mathematics principally concerned with the properties of functions, of the rate of change of different quantities largely arising out of calculus.
Calculus serves as the foundation for advanced mathematics, modern physics and various other branches of modern sciences and engineering It is one of the usual and common to mathematics courses with the main objectives to provide students’ the concepts and theories, analyses of mathematical ideas and to develop logical and creative
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Nonetheless, there are no supplementary materials designed primarily for students enrolled in Bachelor of Science in Education (BSEd) major in mathematics in its institutional context. It has been the struggle of Ilocos Sur Polytechnic State College ((ISPC) of the limited work text to be utilized by the students in a particular discipline as a supplement of the learned knowledge inside their classrooms. Books are available but insufficient volumes to provide students’ needs at the same time. Hence, it is the aim of the researcher to provide students of ISPSC a work text intensely comprehensive work text suited to their needs as a supplement to classroom discussions and activities and intended to reinforce the student’s existing knowledge in calculus and not assumed to replace any standard textbook in calculus. The work text will be based on the syllabus in Calculus 1 for BSEd major in the mathematics curriculum. However, the work text should be relevant and timely to aid college students to cope with the changing educational
This book was at times difficult to grasp its principles when reading the calculus, but with its inclusion of geometry the material becomes accessible to most educated readers. Because it has the feel of a textbook for spreading the understanding of the new philosophy, this book should be recommended to anyone studying the history of science, philosophy, or any of the various influential philosophers who contributed to understanding and truth through experimentation.
Economists use calculus as a basis “to maximize efficiency, minimize cost, and find the post of diminishing returns” (SSCC). Specifically, an economist could use differential calculus to determine the amount of interest paid over the life of a housing loan (Classroom.synonym). Calculus is useful to all businesses because it allows executives/managers to maximize profits, which is essential to most businesses (Classroom.synonym). Calculus is not only important to economics, but also to physics, engineering, chemistry, astronomy, and statistics
Even though I received “satisfactory” grades in Calculus III and IV, the compassionate Graceland University faculty helped me recalibrate. From an early age I knew that I wanted to pursue a Ph.D. in mathematics, but my instructors’ patience and wisdom inspired me to become a mathematics professor. In addition to providing a supportive environment for my future students, I wish to encourage them to seek a life of curiosity and learning. Since my decision to pursue a Ph.D. in mathematics, I have accumulated academic experiences that will provide a stable foundation for my future.
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.
Abstract—During a one hundred year period, seven great mathematicians made contributions to our mathematical knowledge and notation that enabled the emergence of calculus. All were men of either the Catholic or opposing Protestant faith. Religious politics served as both an impetus and a hindrance to the men’s mathematical advances. The men were Francois Viéte, Simon Stevin, John Napier, Adriaan van Roomen, Galileo Galilei, René Descartes, and Pierre de Fermat. Index Terms—analytical geometry, decimal notation, differential calculus, logarithms, number theory I. INTRODUCTION
A calculus is a calcified block attached to the tooth surface. It is based on the dental plaque on the surface of the tooth, which is formed by the gradual calcification of salt deposits in saliva.
The derivative of a function is the rate of change of that function. It shows how fast or how slow the function is changing. This can be useful in determining things such as instantaneous rates of change, velocity, acceleration and maximum profits. A good way to explain the concept of a derivative is to do it graphically. To illustrate, think of a drag car race. The track is only ¼ of a mile long, or 1320 feet. The dragster crosses the finish line in six seconds. How fast was the dragster going when it crossed the finish line? The dragster traveled 1320 feet in 6 seconds, so the average speed of the dragster is 1320 divided by 6 which equals 220 feet per second, or 150 miles per hour. The following graph represents the dragster’s position function as the red curve. The position function for the dragster is 36 2/3 x^2. The green line is the secant line connecting the dragster’s starting point and end point. The slope of this secant line is the average speed of the dragster, 220 feet per second, or 150 miles per hour.
As a chemistry major, math altogether is important in understanding my major and its curriculum. Calculus is a subject that many have difficulty understanding, including myself. Understanding derivatives is very necessary because it is the basics of calculus and modern mathematics. What is differentiation? Differentiation is the algebraic method of finding the derivative for a function at any point. (Wyzant)
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.
The argument in this paper that even though the onus of the discovery of calculus lies with Isaac Newton, the credit goes to Leibniz for the simple fact that he was the one who published his works first. Appending to this is the fact that the calculus wars that ensue was merely and egotistic battle between humans succumbing to their bare primal instincts. To commence, a brief historical explanation must be given about both individuals prior to stating their cases.
Mathematics is everywhere we look, so many things we encounter in our everyday lives have some form of mathematics involved. Mathematics the language of understanding the natural world (Tony Chan, 2009) and is useful to understand the world around us. The Oxford Dictionary defines mathematics as ‘the science of space, number, quantity, and arrangement, whose methods, involve logical reasoning and use of symbolic notation, and which includes geometry, arithmetic, algebra, and analysis of mathematical operations or calculations (Soanes et al, Concise Oxford Dictionary,
Calculus, the mathematical study of change, can be separated into two departments: differential calculus, and integral calculus. Both are concerned with infinite sequences and series to define a limit. In order to produce this study, inventors and innovators throughout history have been present and necessary. The ancient Greeks, Indians, and Enlightenment thinkers developed the basic elements of calculus by forming ideas and theories, but it was not until the late 17th century that the theories and concepts were being specified. Originally called infinitesimal calculus, meaning to create a solution for calculating objects smaller than any feasible measurement previously known through the use of symbolic manipulation of expressions. Generally accepted, Isaac Newton and Gottfried Leibniz were recognized as the two major inventors and innovators of calculus, but the controversy appeared when both wanted sole credit of the invention of calculus. This paper will display the typical reason of why Newton was the inventor of calculus and Leibniz was the innovator, while both contributed an immense amount of knowledge to the system.
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.
This evaluation has not only allowed me explore calculus more in depth, but also physics, and the way the world works. This has personally allowed me to explore the connections between math and real-world situations, which is hard to find in textbooks.
The abstractions can be anything from strings of numbers to geometric figures to sets of equations. In deriving, for instance, an expression for the change in the surface area of any regular solid as its volume approaches zero, mathematicians have no interest in any correspondence between geometric solids and physical objects in the real world. A central line of investigation in theoretical mathematics is identifying in each field of study a small set of basic ideas and rules from which all other interesting ideas and rules in that field can be logically deduced. Mathematicians are particularly pleased when previously unrelated parts of mathematics are found to be derivable from one another, or from some more general theory. Part of the sense of beauty that many people have perceived in mathematics lies not in finding the greatest richness or complexity but on the contrary, in finding the greatest economy and simplicity of representation and proof.