PPT-Pre-AP Pre-Calculus Chapter 4, Section 8

Solving Problems with Trigonometry Right Angle Problems Angle of elevation the angle through which the eye moves up from horizontal to look at something above Angle of depression the angle through which the eye moves down from horizontal to look at something below . 3 Motion Along a Curve Velocity and acceleration Consider a particle moving in space so that its position at time is given by We think of as moving along a curve parametrized by a function where Hence we have or more simply For us will American Mathematical Association for Two-Year Colleges. Nashville, TN. November 13-16, 2014. Keith Nabb. Moraine Valley Community College. . Palos Hills ,Illinois. 2. Crises in Mathematics. Lack of understanding in mathematical principles. 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. 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 . 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.. Applied Calculus ,4/E, Deborah Hughes-. Hallett. Copyright 2010 by John Wiley and Sons, All Rights Reserved. Applied Calculus ,4/E, Deborah Hughes-. Hallett. Copyright 2010 by John Wiley and Sons, All Rights Reserved. As the number of rectangles increased, the approximation of the area under the curve approaches a value.. Copyright .  2010 Pearson Education, Inc.. Section 5.3 – The Definite Integral. Definition. 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 . Ed Palacio, Dr. Charles Rubenstein, Bob Pellegrino. bobpellegrino@ieee.org. c.rubenstein@ieee.org. e.f.palacio@ieee.org. Agenda. Governance. -  Chair’s place in IEEE. Responsibilities, Authority, and Accountability.  Organizational linkage.