These textbook chapters can be used to supplement your studies.


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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Approximating Derivatives Online Textbook Chapter

by Massachusetts Institute of Technology MIT OpenCourseware

This Calculus with Applications online textbook chapter covers Definition of this basic method for approximating the derivative of a function with f'(x) ~ (f(x+d) - f(x)) / d. Course: 18.013A Calculus with Applications, Spring 2005 Instructor: Prof. Daniel J. Kleitman 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 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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Round off Errors and the Derivative Online Textbook Chapter

by Massachusetts Institute of Technology MIT OpenCourseware

This Calculus with Applications online textbook chapter covers the potential problems with the first method for approximating derivatives. Course: 18.013A Calculus with Applications, Spring 2005 Instructor: Prof. Daniel J. Kleitman 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 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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The Symmetric Approximation Online Textbook Chapter

by Massachusetts Institute of Technology MIT OpenCourseware

This Calculus with Applications online textbook chapter covers the definition of this method, f '(x) ~ (f(x+d) - f(x-d)) / (2d), for approximating derivatives and its advantages over the previous method. Course: 18.013A Calculus with Applications, Spring 2005 Instructor: Prof. Daniel J. Kleitman 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 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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Extrapolating the Sequence of Answers Online Textbook Chapter

by Massachusetts Institute of Technology MIT OpenCourseware

This Calculus with Applications online textbook chapter covers improving upon the symmetric approximation for a derivative using extrapolation. Course: 18.013A Calculus with Applications, Spring 2005 Instructor: Prof. Daniel J. Kleitman 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 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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