PPT-History of Calculus

CURVES AREAS VOLUMES METHOD OF EXHAUSTION Discovered by Antiphon Inscribe a shape with multiple polygons whose area converge to the area of the shape Eudoxus Eudoxus rigorously developed Antiphons Method of Exhaustion. A Service Learning Experience. Melinda Rudibaugh. Mathematics Faculty,. Chandler-Gilbert Community College. What is Service Learning?. Not volunteerism. Tied to the curriculum. Requires meaningful reflection and self-growth. Casey Parsons. What is impact calculus?. You might remember on the first . powerpoint. that something called “impact calculus” was referenced a couple of times. It’s how we determine who wins the round . 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 Integral. In this session we meet . integration. , which in a sense is one half of the thing called calculus.. In the next session we meet the other half, so at that point we will (at last) have explained what calculus is.. 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 . The mathematics of continuous change. Instead of looking at average or overall results, calculus looks at how things change from second to second.. Calculus. The mathematics of continuous change. Instead of looking at average or overall results, calculus looks at how things change from second to second.. 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 . Session 5. The Derivative. Integrals . Review. Plot a graph of the function f(x), where f represents how something is changing (e.g. it might be speed or acceleration). We write something like f(x) = x. 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. Frank Savina and Rebecca Hartzler . Michigan Math Summit June 28, 2017. 2. T. he . T. raditional Pathway to Calculus. If you needed math in college, you needed Calculus . 3. Additional student support. 1AC. . Look . for and list the following . things:. . What . is the claim to the impact?. What is the cite to the impact?. What is the warrant to the impact?. Impact Calculus . Magnitude- how large the impact is.