Week of |
Topics |
Suggested Practice Problems |
Jan 23
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Functions of Several Variables
Functions of Two Variables: 12.1
Graphs of Functions of Two Variables: 12.2
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12.1:# 1,5,7,11,19,22,25,27,31
12.2:# 1,2,5,8,9,13,17,21
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Jan 28
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Contour Diagrams: 12.3
Linear Functions: 12.4
Functions of Three Variables: 12.5
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Section 12.3:# 1,3-5,7,10,17,28,30
Section 12.4:# 1,7-9,11,13,15,20,25
Section 12.5:# 1,7,8,12,19
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Feb 4
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Vectors
Displacement Vectors: 13.1
Vectors in General: 13.2
The Dot Product: 13.3
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Section 13.1: # 1-7 odd,11,13,15,19,21,22,24,30,34
Section 13.2: # 7-13 odd, 24
Section 13.3: # 1,5,7,11-15odd,16,18,20,21,24,25,29,31,41
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Feb 11
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The Cross Product: 13.4
Differentiating Functions of Several Variables
The Partial Derivative: 14.1
Computing Partial Derivatives Algebraically: 14.2
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Section 13.4: # 1,3,5,7,14,19,21,23
Section 14.1: # 1,3,7,8,15,21
Section 14.2: # 1-10,19,25,29,35,36,39
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Feb 18
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Local Linearity and the Differential: 14.3
Exam I
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Sction 14.3: # 1-7,13,14,18
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Feb 25
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Gradients and Directional Derivatives in the Plane: 14.4
Gradients and Directional Derivatives in the Space: 14.5
The Chain Rule: 14.6
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Section 14.4: #1,3,15-21odd,25,28,29,32-38,52,53,55,66
Section 14.5: #1-19odd, 23,24,27
Section 14.6: #1-13odd,19,27,28
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March 3
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Second Order Partial Derivatives: 14.7
Optimization: Local and Global Extrema
Local Extrema: 15.1
Constrained Optimization: Lagrange Multipliers: 15.3
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Section 14.7: # 1-9odd, 35
Section 15.1: # 2-11, 19
Section 15.3: # 1-9odd, 28
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March 10
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Integrating Functions of Several Variables
The Definite Integral of a Function of Two Variables: 16.1
Iterated Integrals: 16.2
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Section 16.1: # 1,3,5,9,11,23
Section 16.2: # 1-21odd,27-31odd,32,35,39,41
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March 17
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Spring Break!
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QUIZ4.PDF DUE MARCH 25th. 2008
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March 24
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Triple Integrals: 16.3
Double Integrals in Polar Coordinates: 16.4
Integrals in Cylindrical and Spherical Coordinates: 16.5
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Section 16.3: # 1-4,5-13odd,15,19,21,23
Section 16.4: # 1-5,7,11-20
Section 16.5: # 2-5,14-18,22-24,28,29,30
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March 31
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ExamII
Parametrization and Vector Fields
Parametrized Curves: 17.1
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Section 17.1: # 1,3,13,15,19,21,27,31,34,45,47,51,57
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April 7
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Motion, Velocity and Acceleration: 17.2
Vector Fields: 17.3
The flow of a vector field: 17.4
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Section 17.2: # 1,3,5,7,9-11,15,17,26
Section 17.3: # 1,3,7,9,13
Section 17.4: # 1-9
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April 14
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Line Integrals
The Idea of a Line Integral: 18.1
Computing Integrals over Patrametrized Curves: 18.2
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Section 18.1: #1,2-14,16
Section 18.2: #1-17
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April 21
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Gradient Fields and Path-Independent Fields: 18.3
Path-Dependent Vector Fields and Green's Theorem: 18.4
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Section 18.3: # 3-5,11,16,18,19,21-24,32
Section 18.4: # 1-12, 16,17,18,21,23
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April 28
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Review
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May ???
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Final!!
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???
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