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