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Lecture Notes
PDF
Section 5, Page 4 to page 5
The Mean Value Theorem is briefly defined.
Prof. Jason Starr
None
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Section 1, Page 1
Mean Value Theorem used to solve error analysis problem involving the precision of a device's signal output.
Prof. Jason Starr
Mean Value Theorem (section 5 of lecture 8)
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Section 2, Page 1 to page 2
Review of Mean Value Theorem, with introduction of Generalized Mean Value Theorem.
Prof. Jason Starr
Mean Value Theorem (section 5 of lecture 8)
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Definition and explanation, including Rolle's Theorem.
Prof. David Jerison
None
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Online Textbook Chapter
Document
Finding the error in an approximation of a function, leading to the Mean Value Theorem.
Prof. Daniel J. Kleitman
Quadratic Approximations (OT10.1)
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Exam Questions
PDF - 2.2 MB
#Problem 2G-1 (page 18) to problem 2G-8 (page 19)
Eight questions which involve showing or proving statements using the Mean Value Theorem, including a question about speeding on the Massachusetts Turnpike.
Prof. David Jerison
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PDF
Problem 8 (page 1)
Stating the theorem and using it to prove two statements about functions.
Prof. David Jerison
None
Solution (PDF)# Page 2
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Problem 6 (page 1)
Using the theorem to justify two statements.
Prof. David Jerison
None
Solution (PDF)# Page 1
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Problem 6 (page 2)
Using the theorem to place an upper and lower bound on a function value.
Prof. David Jerison
None
Solution (PDF)# Page 2
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