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by: Colin Fields

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# MATH241 Week 5 Notes Math 241

Marketplace > University of Maryland > Math > Math 241 > MATH241 Week 5 Notes
Colin Fields
UMD

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Ch. 13.1
COURSE
Calculus 3
PROF.
Dr. Grillakis
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Calculus
KARMA
25 ?

## Popular in Math

This 2 page Class Notes was uploaded by Colin Fields on Sunday October 2, 2016. The Class Notes belongs to Math 241 at University of Maryland taught by Dr. Grillakis in Fall 2016. Since its upload, it has received 7 views. For similar materials see Calculus 3 in Math at University of Maryland.

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Date Created: 10/02/16
Calc III Lec Day _ 10/_/16 Ch. 13.1 Functions of Several Variables 1. Consist of a domain which describes the values of a parameter, and a rule which assigns a real number to every member of the domain 2. Combinations of functions of several variables follow normal arithmetic rules 3. Shape formula to know QUADRIC SAMPLE FORM KEY PROPERTIES SURFACE Sphere x + y + z = r 2 Radius: r 2 2 2 Ellipsoid (x/a) +(y/b) +(z/c) =1 Axial Radii: a, b, c 2 Axis of Generation: Parabolic Cylinder y = ax Omitted variable 2 2 Axis of Generation: Elliptic Cylinder (x/a) +(y/b) = 1 Omitted variable Hyperbolic 2 2 Axis of Generation: Cylinder (x/a) –(y/b) =1 Omitted variable (Elliptic) z = (x/a) +(y/b) 2 Axis of Revolution: Paraboloid Linear term Axis of Revolution: 2 2 2 (Elliptic) Cone (x/a) +(y/b) –(z/c) =0 Negative Square term Hyperboloid of 2 2 2 Axis of Revolution: (x/a) +(y/b) –(z/c) =1 Negative Square One Sheet term Hyperboloid of Axis of Revolution: −(x/a) –(y/b) +(z/c) =12 Two Sheets Positive Square term Hyperbolic z = (y/b) –(x/a) 2 (none) Paraboloid

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