MATH 241

Chapter 14

Section 14.1
Functions of Several Variables

Section 14.2 Limits and
Continuity in Higher Dimensions

Section 14.3
Partial Derivatives
(NEW VIDEO)

Section 14.4
The Chain Rule

worksheet

Section 14.5 Directional
Derivatives and Gradient Vectors

examples for
14.5 on gradients

Section 14.6
Tangent Planes and Differentials

examples for
14.6 on tangent planes and linearization

worksheet for 14.6

Section 14.7 Extreme Values
and Saddle Points

examples
for 14.7 saddelpoints, local maxs and mins

worksheet for 14.7

Section 14.8
Lagrange Multipliers

examples for
14.8 Lagrange Multipliers

worksheet for 14.8

Section 14.9 Taylor's Formula for Two Variables watch
video on MyMathLab and
read book

Section 14.10 Partial Derivatives and Constrained Variables watch
video on MyMathLab and read book

Homework:

Section 14.1 1-29 odds, 37-51 odds

Section 14.2 3-51 multiples of 3

Section 14.3 3-60 multiples of 3

Section 14.4 1, 3, 5, 7, 13, 15, 17,
25-37 odds

Section 14.5 1-27 odds, 35, 36

Section 14.6 1, 3, 5, 6, 7 - 21 odds, 22, 25, 27,
29

Section 14.7 1, 3, 5, 11, 13, 17, 21, 25, 31, 35, 37

Section 14.8 1, 5, 7, 9, 11, 13, 17, 19, 23,
27

Section 14.9 1,
2, 4, 5, 6, 7, 9

Section 14.10 1- 8 all

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