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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Collection Contents

Complete Graph Analysis I Exam Questions

by Massachusetts Institute of Technology MIT OpenCourseware

Single Variable Calculus Questions 1 and 2 (and their solutions) cover sketching the graph of a function, showing all zeros, maxima, minima, and points of inflection. 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
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Complete Graph Analysis II Exam Question

by Massachusetts Institute of Technology MIT OpenCourseware

Single Variable Calculus Question 1 (and its solution) covers sketching a graph and finding the maxima, minima, points of inflection, and regions where the graph is concave up and concave down. 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
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Complete Graph Analysis III Exam Question

by Massachusetts Institute of Technology MIT OpenCourseware

Single Variable Calculus Question 2 (and its solution) covers sketching the graph of a function, including its critical points, points of inflection, and regions where the graph is increasing, decreasing, concave up, or concave down. 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
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Curve Sketching Exam Questions

by Massachusetts Institute of Technology MIT OpenCourseware

Single Variable Calculus Questions 2B-1 through 2B-7 (and their solutions) cover sketching graphs and finding inflection points, maxima, and minima as well as regions where a function is increasing, decreasing, or zero. 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
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Complete Graph Analysis IV Exam Question

by Massachusetts Institute of Technology MIT OpenCourseware

Single Variable Calculus Question 2 (and its solution) covers sketching a graph and finding the asymptotes, maxima, minima, and inflection points of the graph. 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
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