PPT-Business Calculus II

51 Accumulating Change Introduction to results of change Accumulated Change If the rateofchange function f of a quantity is continuous over an interval altxltb the accumulated change in the quantity between input values of a and b is the area of the region between the graph and horizontal axis provided the graph does not crosses the horizontal axis between a and b . 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. 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 . Enea. Sacco. 2. Welcome to Calculus I!. Welcome to Calculus I. 3. Topics/Contents . Before Calculus. Functions. New functions from the old. Inverse Functions. Trigonometric Functions. Inverse Trigonometric Functions. Exponential and Logarithmic Functions. 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?.  . 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 . Chapter 4, Part B. Relational Calculus. Comes in two flavors: . Tuple relational calculus . (TRC) . and . Domain relational calculus. . (DRC. ). TRC. : . Variables range over (i.e., get bound to) . 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. . 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. Kittatinny. Regional High School. Sussex County Community College. April 2012. Sussex County Community College. , located in northern New Jersey, has offered Dual/Concurrent Enrollment for Math courses at . 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..