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Multivariable Calculus

Multivariable Calculus at uses Multivariable Calculus, 8th ed. by Larson, Edwards & Hostetler.

Chapter 13: Functions of Several Variables

 

Chapter 13 PowerPoint 2007-2008
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13.1: Introduction to Functions of Several Variables
Exercises: 1-25 eoo, 31-43 eoo, 45-48
ppt   bhs (22:56) bhs (28:38)
13.2: Limits and Continuity
Exercises: 5-53 eoo
ppt   bhs (21:28) bhs (28:23)
13.3: Partial Derivatives
Exercises: 5-25 odd, 37, 39, 45, 47, 61, 63, 73
ppt bhs bhs (34:42) bhs (part 1, 13:08)
bhs (part 2, 30:31)
bhs (HW 15, 17 25, 61, 26:55)
13.4: Differentials
Exercises: 1-19 odd
ppt bhs bhs (15:48) bhs (part 1, 23:55)
bhs (part 2, 3:02)
13.5: Chain Rules for Functions of Several Variables
Exercises: 1-9 odd, 15-37 odd
ppt bhs bhs (37:31) bhs (part 1, 31:51)
bhs (part 2, 37:19)
bhs (HW 23, 27, 33, 17:02)
13.6: Directional Derivatives and Gradients
Exercises: 1-29, every other odd
ppt bhs bhs (41:49) bhs (44:42)
bhs (HW 17, 29, 10:28)
13.7: Tangent Planes and Normal Lines
Exercises: 1-29, every other odd
ppt
 
bhs bhs (33:58) bhs (part 1, 24:13)
bhs (part 2, 27:08)
 
13.8: Extrema
Exercises: 1-29, every other odd
ppt
 
  bhs (#1, 26:46) 
bhs (#2, 49:38) 
bhs (part 1, 25:36)
bhs (part 2, 58:07)