18.01

*Single Variable Calculus,*Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

The Mean Value Theorem is briefly defined.

18.01

*Single Variable Calculus,*Fall 2006

Prof. David Jerison

**Course Material Related to This Topic:**

Definition and explanation, including Rolle's Theorem.

Eight questions which involve showing or proving statements using the Mean Value Theorem, including a question about speeding on the Massachusetts Turnpike.

- Complete exam problems 2G–1 on page 18 to problems 2G–8 on page 19
- Check solution to exam problems on page 35

Stating the theorem and using it to prove two statements about functions.

- Complete exam problem 8 on page 1
- Check solution to exam problem 8 on page 2

Using the theorem to justify two statements.

- Complete exam problem 6 on page 1
- Check solution to exam problem 6 on page 1

Using the theorem to place an upper and lower bound on a function value.

- Complete exam problem 6 on page 2
- Check solution to exam problem 6 on page 2

Mean Value Theorem used to solve error analysis problem involving the precision of a device's signal output.

18.01

*Single Variable Calculus,*Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

Review of Mean Value Theorem, with introduction of Generalized Mean Value Theorem.

18.01

*Single Variable Calculus,*Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

Finding the error in an approximation of a function, leading to the Mean Value Theorem.

18.013A

*Calculus with Applications,*Spring 2005

Prof. Daniel J. Kleitman

**Course Material Related to This Topic:**