PPT-Riemann Sums, Trapezoidal Rule, and Simpson’s Rule

Haley Scruggs 1 st Period 3711 A Brief Overview of what Riemann Sums Trapezoidal Rule and Simpsons Rule do Each of these method estimate the area of a curve using rectangles As your number of rectangles increase so does the accuracy of the area . Numerical Integration. Approximations for integrals: . . Riemann Sums, Trapezoidal Rule, Simpson's Rule. Riemann Sum: Trapezoidal Rule: Simpson’s Rule:. Approximation by Approximation by Approximation by. A great mathematician. Riley Wang. Mr. . Sidanycz. Block 2. nd. Thomas Simpson. 1. Thomas Simpson, born on August 20, 1710, in Market Bosworth, Leicestershire, England, was the son of a self-taught weaver. . Section 5.2a. First, we need a reminder of . sigma notation:. How do . we evaluate. :. …and what happens if an “infinity” symbol appears. above the sigma???.  The terms go on indefinitely!!!. Ellen, . M. egan, Dan. Riemann Hypothesis. The nontrivial Riemann zeta function zeros, that is, the values of s other than -2,-4,-6….. . s. uch that . δ. (s)=0 all lie on the critical line . Θ. = R[s] = ½ (with real part ½). GIS Application with Web Service Data Access. Introduction – The Problem. Stormwater . utilities are . unique. Runoff can’t be measured. Must be defensible. Impervious area is usually . the . basis for billing. Objectives: You should be able to. …. Formulas. The goal in this section is to find the sum of an infinite geometric series. However, this objective is very closely connected to the limit of an infinite sequence. . Area Under a Curve . Using Riemann Sum. Tanya . Fraile. Level: Calculus II. History. 35-acre landscape park in the heart of the City of Newburgh. Designed Calvert Vaux (who also designed Central Park. Partial Sums. An Addition Algorithm. Created by Rina Iati, South Western School District, Hanover, PA. . 2. 6. 8. . 4. 8. 3. 600. Add the . hundreds. (. 200 400). Add the . tens . (60 80). Riemann Sums. The sums you studied in the last section are called . Riemann Sums. When studying . area under a curve. , we consider only intervals over which the function has positive values because area must be positive. Riemann Sums. a. b. The rectangles need not have equal width, and the height may be . any. value of . f. (. x. ). within the subinterval. .. 1. Partition (divide) [. a,b. ] into . N. subintervals.. SUPA Forensics Period 8. O.J. Simpson Case: Background. Sara Starr, Michelle Hao, Mariam Momjian, Rebecca Song, Tristan Jeong. Who was O.J. Simpson?. Born on July 9th, 1947. He was raised by his mother, along with three siblings. Background. Orenthal. James Simpson was born on July 9, 1947, in San Francisco, . California. Career: . one of the most famous running backs in American football history. majority of Simpson's career was spent playing for the Buffalo Bills, though it was with the San Francisco 49ers that he finished his professional football career in 1979. Conceptually the idea of . area. is simply. “. the product of two linear dimensions. ” . The notion of Riemann Sum is then an extension of this idea to more general situations. However, in the formula. M. ultiple . S. clerosis. SUMS. study@plymouth.ac.uk. . South West Contacts. :. Dr Jenny . Freeman . . 01752 588835. Esther . Fox . .  . 01752 . 587599. . . East Anglia Contacts :.