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## ENGINEERING MATH III

by: Evert Christiansen

15

0

1

# ENGINEERING MATH III MATH 251

Evert Christiansen
Texas A&M
GPA 3.92

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 1 page Class Notes was uploaded by Evert Christiansen on Wednesday October 21, 2015. The Class Notes belongs to MATH 251 at Texas A&M University taught by Staff in Fall. Since its upload, it has received 15 views. For similar materials see /class/226053/math-251-texas-a-m-university in Mathematics (M) at Texas A&M University.

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Date Created: 10/21/15
MATH 251 Section 505 Test 2 Fall 2006 Calculators are OK but not necessary There will be 10 problems of equal weight 5 pts for a maximal score 50 pts For full credit you need to show the whole work The problems are aimed to test your knowledge de nitions and main results under standing of the material main mathematical ideas and techniques and some basic applica tions The test is based on your homework assignments and covers Sections 127 7 128 of Chapter 12 and Sections 131 7 137 of Chapter 13 Particular emphasis will be made on H F 9 7 U 03 5 00 p Local extrema of functions of 2 and 3 variable Second derivative test is a must Critical point saddle point Absolute minimum and maximum values This is Section Method of Lagrange multipliers for minimizing or maximizing a function subject to constrains The Section 128 is a must Double integrals over rectangle iterated integrals Fubini7s theorem Sections 131 and 132 Double integrals over general regions Most important you should be able to describe the domain in a fashion that is useful for evaluating the integral Polar coordinates and plane curves in polar coordinates polar curves this is Section 134 Polar coordinates and double integrals in polar coordinates Sections 133 and 134 Most important you should be able to work with curves in polar coordinates and to describe domains in polar coordinates Application of double integrals in mechanics mass center of mass moments This is Sections 136 Surface area this is Section 137 The formula for surface area is a must Good luck

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