18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Optimization, Related Rates and Newton's Method

Session 29: Optimization Problems

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Often, our goal in solving a problem is to find extreme values. We might want to launch a probe as high as possible or to minimize the fuel consumption of a jet plane. Sometimes we’ll find our answer on the boundaries of our range of options – we launch the probe straight up. Sometimes we’ll find the best answer by using a derivative to determine when the graph of a function “levels out” at the top of a peak or bottom of a dip.

Lecture Video and Notes

Video Excerpts

Clip 1: Maxima and Minima Using Graphs

Clip 2: Maximum Area of Two Squares

Recitation Video

Closest Point to the Origin

Minimum Triangle Area

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos