Created on: September 8, 2008

Website Address: https://library.curriki.org/oer/Riemann-and-Trapezoidal-Sums--Exam-Questions

TABLE OF CONTENTS

- Riemann & Trapezoidal Sums - Lecture Notes
- Riemann & Trapezoidal Sums - Textbook Chapters
- Riemann & Trapezoidal Sums - Exam Questions
- Riemann & Trapezoidal Sums - Java Applets

- Riemann Sum Exam Question
- Riemann Sums and Integrals Exam Questions
- Trapezoid Rule and Simpsons Rule Exam Question
- Trapezoid Rule and Simpson's Rule: Baseball Stats Exam Question
- Numeric Approximations of Integrals Exam Question
- Trapezoidal Rule Exam Question
- Definite Integrals Exam Question
- Numerical Integration Exam Questions

Teachers and students can use these exam questions and solutions to test the information learned.

Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Daniel J. Kleitman, 18.013A Calculus with Applications, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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Single Variable Calculus Question 2 (and its solution) covers computing the right endpoint Riemann sum of an integral and then using that answer to evaluate a limit. Course: 18.01 Single Variable Calculus, Fall 2005 Instructor: Prof. Jason Starr Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Single Variable Calculus Questions 4.1 through 4.3 (and their solutions) cover evaluating Riemann sums and integrals. Course: 18.01 Single Variable Calculus, Fall 2005 Instructor: Prof. Jason Starr Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Single Variable Calculus Question 9 (and its solution) covers finding the approximate value of an integral using each rule with two subintervals. Course: 18.01 Single Variable Calculus, Fall 2006Instructor: Prof. David Jerison Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Single Variable Calculus Question 5 (and its solution) covers estimating the number of hits a player got in a month using the two rules. Course: 18.01 Single Variable Calculus, Fall 2006Instructor: Prof. David Jerison Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Single Variable Calculus Question 2 (and its solution) covers using Riemann Sums, the Trapezoid Rule, and Simpson's Rule to approximate a definite integral. Course: 18.01 Single Variable Calculus, Fall 2006Instructor: Prof. David Jerison Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Single Variable Calculus Question 9 (and its solution) covers estimating a definite integral of the sine-squared function using three intervals of the Trapezoidal Rule. Course: 18.01 Single Variable Calculus, Fall 2006Instructor: Prof. David Jerison Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Single Variable Calculus Questions 3B-1 through 3B-7 (and their solutions) cover using sigma notation for sums, computing Riemann sums for definite integrals, and evaluating limits by relating them to Riemann sums. Course: 18.01 Single Variable Calculus, Fall 2006Instructor: Prof. David Jerison Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Single Variable Calculus Questions 3G-1 through 3G-5 (and their solutions) cover approximating integrals using Riemann sums, the Trapezoidal Rule, and Simpson's Rule. Course: 18.01 Single Variable Calculus, Fall 2006Instructor: Prof. David Jerison Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode