PPT-Reflections on the Pathway to Calculus

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. 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. Reflections on the Coordinate Plane. The undisturbed surface of a pond acts like a mirror and can provide the subject for beautiful photographs. Reflections on the Coordinate Plane. We call the waterline a “line of symmetry” because if the photo were folded at the waterline, the two halves would form a mirror image of each other. 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 . Contents:. Reflections. Why they occur. Preventing. Types. Angles. Superposition. Definition. Constructive/Destructive. Why Reflections Occur. Reflections occur at any . abrupt. . change in medium. Demo wave device - Fixed, Free, change. AC 2311 C ** Calculus I ( 4 ) AC 2312 ** Calculus II ( 4 ) AC 2313 ** ( 4 ) HY 2048 C ** Physics for Engineers I ( 4 ) HY 2049 C ** Physics for Engineers II ( 4 ) AP 2302 ** Differential 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. Newton & Leibniz. Summary. Calculus seems to demand some concept of the infinitesimal. Magnitude. New number. Or both?. But infinitesimals lack . clarity . Concepts that are not mathematical being used to interpret mathematics?. 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. . 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 . 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.. The Reflections . Program . is a national arts recognition and achievement program for students. Since 1969, over 10 million students across the nation have taken part in this popular PTA program.. The Reflections Program provides an excellent opportunity for students of all ages to:. 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 . Dan Grossman. Department of Computer Science & Engineering. University of Washington. SPLASH-E. October 28, 2013. Roles. October 28, 2013. 2. Grossman's MOOC Reflections. Instructor. : Design. course, record videos, write . By: Delaney Sacra, Helena Haddad, Natalie Safe, and Ryan . Verbrugge. Mirrors & Reflections Part 1. Identify where in the novel the symbol is introduced.. It is prominent . in scenes she . is reflecting upon herself.