PPT-A SHORT INTRODUCTION TO CALCULUS.

  1 The ideas of Calculus were discovered at the same time by NEWTON in England and LEIBNITZ in Germany in the 17 th century There was a lot of ill feeling between them because each one wanted to take the credit for discovering Calculus. The calculus students can work directly with the normal probability density function and use numerical integration techniques to compute probabilities without resorting to the tables In this article we will give a derivation of the normal probabilit 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 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. 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 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 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. 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. 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.