MATH 241

Chapter 14

Section 14.1
Functions of Several Variables
(New Video)

Section 14.2 Limits and
Continuity in Higher Dimensions

Section 14.3
Partial Derivatives
(NEW VIDEO)

Section 14.4
The Chain Rule

worksheet

examples for
14.4 (NEW!)

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
Anna's video AND watch
video on MyMathLab

Section 14.10 Partial Derivatives and Constrained Variables
Anna's video AND watch
video on MyMathLab

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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Questions asked by students

14.5.35 13th edition derivative and direction

14.5.36 13th edition derivative and direction

14.8.11 greatest area of an rectangle in an ellipse (I cheated a little here knowing that it was an ellipse that would be centered at the origin so I used just xy for the area taking in mind that would be a fourth of the entire area, if I had multiplied by four it would have just been a constant coefficient and made my numbers a little bigger....)

14.8.17 minimizing distance to a point

14.8.19 minimum distance to origin

14.8.27 rectangular box with largest volume in a sphere

14.10.4 partial derivatives with constrained variables

14.10.6 partial derivatives with constrained variables