Saturday, May 23, 2020

Calculus As A Part Of Modern Mathematics Education

Calculus (from Latin calculus, literally small pebble used for counting)[1] is the mathematical study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. It has two major branches, differential calculus (concerning rates of change and slopes of curves),[2] and integral calculus (concerning accumulation of quantities and the areas under and between curves);[3] these two branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. Generally, modern calculus is considered to have been developed in the 17th century by Isaac Newton and Gottfried Leibniz. Today, calculus has widespread uses in science, engineering and economics[4] and can solve many problems that elementary algebra alone cannot. Calculus is a part of modern mathematics education. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has historically been called the calculus of infinitesimals, or infinitesimal calculus. Calculus (plural calculi) is also used for naming some methods of calculation or theories of computation, such as propositional calculus, calculus of variations, lambda calculus, and process calculus. Contents [hide] 1 History 1.1Show MoreRelatedSome Application of Calculus1446 Words   |  6 Pagesï » ¿ Calculus: Calculus (Latin, calculus, a small stone used for counting) is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of modern mathematics education. It has two major branches, Differential Calculus and Integral Calculus, which are related by the fundamental theorem of calculus. Calculus is the study of change, in the same way that geometry is the study of shape and algebra is the study of operationsRead MoreThe Life and Work of Isaac Newton Essay2202 Words   |  9 Pagesempirical science in a modern world. However various sources have personified Newton in a different light. There is evidence to suggest that Newton was a seeker of a synthesis of all knowledge and believed that there was a unified theory of the principles of the universe. It also suggests the he believed that this synthesis was once known to mankind. Newton spent his life looking for this combination of complex ideas not only through mathematics and physics but throughRead MoreEducation Is A Basic Human Right974 Words   |  4 PagesIntroduction: Education is a basic human right and it has been designed to be important for our future and social status. Education in the long term has designed us and how the world is functioning today. Education is obviously a good thing, the world wouldn’t be as sophisticated and advanced without the foundation of education, but in saying that there are aspects of education that are taught that can be considered to be flawed. In our personal life we have found that English being compulsory worldwideRead MoreBritish Politics During The Lifetime Of Newton1069 Words   |  5 Pagesmortals† who â€Å"inhabited the earthly realm† (Gullien, 1995, p. 13-14). Parliament wanted King Charles I to relinquish his control over church and state because the religious intolerance and the heavy taxes. Sadly, Newton’s father was called out to be a part of King Charles I army and died before Issac Newton was born (Gullien, 1995, p.14). While Newton was a young child, England’s civil war was still raging (Gullien, 1995, p. 16). His hometown of Woolsthorpe had been captured. Nevertheless, Newton wentRead More Philosophy in Mathematics Essay3045 Words   |  13 PagesPhilosophy in Mathematics Mathematics has contributed to the alteration of technology over many years. The most noticeable mathematical technology is the evolution of the abacus to the many variations of the calculator. Some people argue that the changes in technology have been for the better while others argue they have been for the worse. While this paper does not address specifically technology, this paper rather addresses influential persons in philosophy to the field of mathematics. In orderRead MoreAlbert Einstein s Theory Of Relativity And The Father Of The Atomic Age1174 Words   |  5 Pagesof nature when he wondered about the mechanics of a compass. He discovered geometry at age twelve and was able to master calculus by age sixteen (Notable Biographies). His family moved again and he continued his education in Italy at Aaru, Switzerland then enrolled in the Swiss Federal Polytechnic School in Zurich in 1896 to begin training as a teacher of physics and mathematics. He was able to obtain his dip loma in 1901 and become a technical assistant in the Swiss Patent Office (Nobel Prize). InRead MoreThe Impact of Using Technology on Students’ Achievement, Attitude, and Anxiety in Mathematics8727 Words   |  35 PagesTHE IMPACT OF USING TECHNOLOGY ON STUDENTS’ ACHIEVEMENT, ATTITUDE, AND ANXIETY IN MATHEMATICS Maxima J. Acelajado, Ph.D. De La Salle University Manila, Philippines e-mail: acelajadom@dlsu.edu.ph ABSTRACT This was an experimental study designed to determine the effects of using technology, specifically graphing calculators, on students’ achievement in College Algebra, attitude, and anxiety in mathematics. The respondents of the study belonged to two intact classes consisting of 66 freshman studentsRead More Mathematics Education in America: A Troubled System in Need of Change2455 Words   |  10 PagesMathematics Education in America: A Troubled System in Need of Change On a trip to Fidler concrete in Goshen, Indiana, a man ordered forty feet of rebar for home use. When he went to pick up the rebar, the adult employee in charge asked the man what size pieces he would like. The man asked for six-foot sections. The employee furrowed his brow and said, â€Å"Now, if it were five foot sections, that would be ten of them for forty feet, right?† The man replied, â€Å"No, ten of the fiveRead MoreElectrical Engineering And The Field Of Engineering1476 Words   |  6 Pagesthe practical application of electricity, electromagnetism and electronics. The field is of considerable necessity to modern life and infrastructure, having applications in many diverse branches of modern life. Some of these include telecommunications, energy and power distribution, transportation, manufacturing and consumer electronics. In this report we will go over the education and coursework requirements, fields of the industry, the work environment, salary, tools of the trade, and professionalRead MoreThe Popular Celebration Of Pi Day1208 Words   |  5 Pagesactivity, but it contributes to a celebration that feeds into an imbalance in the American education system. The existence of this math-centered holiday shows that schools revere STEM, a catch-all acronym for science, technology, engineering and math, but other uncelebrated subjects may not be regarded so highly. The popular celebration of Pi Day in American schools reflects how increased emphasis on STEM education is linked to the de-emphasis of the visual arts in U.S. public school systems to the detriment

No comments:

Post a Comment

Note: Only a member of this blog may post a comment.