PPT-History & Philosophy of Calculus,

Session 5 The Derivative Integrals Review Plot a graph of the function fx where f represents how something is changing eg it might be speed or acceleration We write something like fx x. for Academic Job Applications. Linda B. Nilson, Ph. D., Director. Office of Teaching Effectiveness and Innovation. 448 Brackett Hall, Clemson University. 656-4542 * . nilson@clemson.edu. * www.clemson.edu/OTEI. Chinese Philosophy. Philosophy has had a tremendous effect on Chinese civilization, and East Asia as a whole. . Many of the great philosophical schools were formulated during the Spring and Autumn Period and Warring States Period, and came to be known as the Hundred Schools of Thought. . How . do you know . how fast. You are going? . “well . how do you know. How fast you’re going. Right now,. At this very second?” . Push your friend so . that his/her . speed . changes. Try . By Masayuki Sato. Lecture Two. Intellectual . Foundation for . Chinese Philosophy. 【. 本著作除另有註明外，採取. 創用. CC. 「姓名標示－非商業性－相同方式分享」台灣. 8. Newton & Leibniz. History & Philosophy of Calculus, Session . 8. The invention of the calculus. Newton and Leibniz in 17. th. Century invented the algorithmic procedures underlying the calculus. 6. Conceptual Issues in the . deveopment. of the Calculus. Piecemeal technical breakthroughs over the centuries. Especially algebra & its logical power. Shifted the focus to new techniques & what could be accomplished.  . What is . λ-calculus ?. . “Lambda . calculus.  . is . a formal . system.  in . mathematical logic.  and computer science for expressing computation based on function abstraction and application using variable . The Return of the Infinitesimal?. So far on this course we’ve stayed close to mainstream mathematics.. In this final session we look at some more “fancy” material, much of it very recent.. These aren’t just techniques for doing complicated calculations – they represent new ways to think about geometry and continuity, and so they promise to raise some old philosophical questions. . Conceptual Issues in the development of the Calculus. Piecemeal technical breakthroughs over the centuries. Especially algebra & its logical power. Shifted the focus to new techniques & what . Section 1.1. Functions and Change. Calculus, 7th edition, Hughes-Hallett et.al., Copyright 2017 by John Wiley & Sons, All Rights Reserved. Definition of a Function. A . function . is a rule that takes certain numbers as inputs and assigns to each a definite output number. The set of all input numbers is called the . Due 26 May 2011. HN. Intro to Philosophy Final . Project. Who was Hegel?. Georg Wilhelm Friedrich Hegel. was born in Stuttgart, Germany, in 1770.. Hegel worked as a professor in various German universities, where he became well acquainted with . Books ordered. Stewart. . Calculus: Early . Transcendentals. 7e. Ocean. Ngl.cengage.com. Stewart. . Calculus: Early . Transcendentals. 7e. Middlesex. Ngl.cengage.com. Larson:. Calculus of a Single Variable: Early . YangQuan Chen, Ph.D., Director, . MESA . (Mechatronics, Embedded Systems and Automation). Lab. MEAM/EECS, School of Engineering,. University of California, Merced. E. : . yqchen@ieee.org. ; . or. , yangquan.chen@ucmerced.edu. AMS Committee on Education. Jessica. . Ellis. Colorado. . State. . University. http://. www.maa.org. /. cspcc. Acknowledgments. MAA. David . Bressoud. Michael Pearson. Linda . Braddy. Olga Dixon. San Diego State Univ..