PPT-AP AB Calculus:

HalfLives Objective To derive the halflife equation using calculus To learn how to solve halflife problems To solve basic and challenging halflife problems To understand the applications of halflife problems in reallife. 02 Multivariable Calculus Fall 200 brPage 2br 1802 ctur 8 Tue Sept 25 2007 unctions of er al ariable Re call for fu nction of ariab le can pl ot it graph an the iv ativ is he slop of the tan ge li ne to th g Department of Math and Computer Science. Lansing Community College. Prof. Jing Wang, Ph. D. . MATH after 112 . STEM Programs. Calculus Sequence:. MATH 151: Calculus I. MATH 161: Honors Calculus I. adding it all up. Integral Calculus. 1. Goal. Compute the . signed. area . under some portion of an arbitrary curve. Integral Calculus. 2. Divide and Conquer. Integral Calculus. 3. Animatedly. Integral 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?. 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 Making of Modern Calculus. Anthony V. Piccolino, Ed. D.. Palm Beach State College. Palm Beach Gardens, Florida. Calculus Before Newton & Leibniz. Four Major Scientific Problems of the 17. th. CSE 340 . – Principles of Programming . Languages. Fall 2015. Adam Doupé. Arizona State University. http://. adamdoupe.com. Lambda Calculus . Language to express function application. Ability to define anonymous functions. 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 . 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 . 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. 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..