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by: Colin Fields

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# MATH241 Week 6 Notes MATH 241

Marketplace > University of Maryland > Math > MATH 241 > MATH241 Week 6 Notes
Colin Fields
UMD

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Limits and Continuity of vector functions
COURSE
Calculus 3
PROF.
Dr. Williams
TYPE
Class Notes
PAGES
3
WORDS
CONCEPTS
Calculus, Calculus Limits, vectors
KARMA
25 ?

## Popular in Math

This 3 page Class Notes was uploaded by Colin Fields on Sunday October 9, 2016. The Class Notes belongs to MATH 241 at University of Maryland taught by Dr. Williams in Fall 2016. Since its upload, it has received 2 views. For similar materials see Calculus 3 in Math at University of Maryland.

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Date Created: 10/09/16
Calc III Lec Day _ 10/_/16 Ch. 13.2 Limits and Continuity 1. Limits are the exact same as for vector-valued functions, the limits of each subfunction determine the limit of the total function 2. Normal arithmetic rules apply to two functions if they share limit properties of existence and continuity 3. A function is continuous if the limit of the function as its component parameters approach arbitrary values in its domain equals the function evaluated at those points 4. Points in a plane/surface a. Interior point: point lies within the surface b. Boundary point: point lies on the outer limit of the surface c. Exterior point: point lies outside of the surface Calc III Lec Day _ 10/_/16 Ch. 13.3 Partial Derivatives 1. Partial derivatives with respect to one variable are normal differentiation by that variable with the other variables being treated as constants 2. Normal differentiation rules apply 3. Calc III Lec Day _ 10/_/16 Ch. 13.4 The Chain Rule 1. a. 2. a. b.

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