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Math 201: Exam III Review - Optimization, Graph Features, and Advanced Techniques, Exams of Calculus

A review of the topics to be covered in exam iii of math 201. Sections 4.2-4.8 in the textbook will be assessed, focusing on optimization (local and global extrema, extrema on a closed interval, first and second derivative tests, applied problems), features of a graph (critical points, intervals of increase/decrease, inflection points, concavity, asymptotes), mean value theorem and rolle’s theorem, and l’hospital’s rule. Students are encouraged to do as many problems as possible and attend the wednesday class for question clarifications. Calculators are allowed, but showing all work is mandatory.

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

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koofers-user-iq1 🇺🇸

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Math 201: Exam III Review
Exam III will be on Thursday November 20 and it will cover sections 4.2-4.8 in the textbook. The
topics covered in these sections are:
(1) Optimization:
local and global extrema
extrema on a closed interval
first and second derivative tests
applied problems
(2) Features of a graph
critical points
intervals of increase/decrease
inflection points
concavity
asymptotes
(3) Mean Value Theorem and Rolle’s Theorem
(4) L’Hospital’s Rule
(5) Newton’s Method
The best way to study for the exam is to do as many problems as you can stand. Redo the
quizzes, the homework problems, the worksheets, and any or all of the recommended problems on
the website. On Wednesday before the exam class will be devoted to answering questions. So if
you have questions, bring them to class on Wednesday.
You may use your calculator on all of this exam.
You do not need to simplify your answers. But you will need to show all of your work: you will
not receive credit if you do not show your work.
1

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Math 201: Exam III Review

Exam III will be on Thursday November 20 and it will cover sections 4.2-4.8 in the textbook. The topics covered in these sections are:

(1) Optimization:

  • local and global extrema
  • extrema on a closed interval
  • first and second derivative tests
  • applied problems

(2) Features of a graph

  • critical points
  • intervals of increase/decrease
  • inflection points
  • concavity
  • asymptotes

(3) Mean Value Theorem and Rolle’s Theorem

(4) L’Hospital’s Rule

(5) Newton’s Method

The best way to study for the exam is to do as many problems as you can stand. Redo the quizzes, the homework problems, the worksheets, and any or all of the recommended problems on the website. On Wednesday before the exam class will be devoted to answering questions. So if you have questions, bring them to class on Wednesday.

You may use your calculator on all of this exam.

You do not need to simplify your answers. But you will need to show all of your work: you will not receive credit if you do not show your work.

1