Text: Multivariable Calculus 5e by James Stewart
| Week |
Sections | Topics | Homework |
|---|---|---|---|
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1
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13.1 13.2 13.3 |
3D Coordinate system Vectors The Dot Product |
DUE Jan 24 13.1 #6, 7, 10, 13, 15, 17, 21, 27, 30 13.2 #4, 6, 13, 16 19, 23, 25, 28, 29 13.3 # 1, 5, 7, 10, 22, 23, 25, 35, 40, 45, 50, 54 |
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2
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13.4 13.5 13.7 |
The Cross Product Equations of Lines and Planes Cylindrical and Spherical Coordinates |
DUE Jan 31 13.4 #4, 6, 9, 23, 25, 34 13.5 # 2, 5, 16, 32, 42, 47, 49, 54, 66 |
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3
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14.1 14.2 14.3 |
Vector Functions Derivatives of Vector Functions Arc Length and Curvature |
DUE: Fri 9 Feb 14.1 #5, 15, 19-24, 25, 33 14.2 #9, 11, 16, 17, 25, 42, 43 14.3 #3, 19, 27, 39, 41 |
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4
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14.4 15.1 15.2 |
Motion in Space Functions of Several Variables Limits and Continuity |
Due Fri 16 14.4 #11, 15, 19, 32 15.1 #8, 9, 30, 31, 34, 37, 38, 53-58 15.2 #7, 9, 17, 16. |
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5
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* * 15.3 |
Review EXAM 1 Partial Derivatives |
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6
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15.4 15.5 15.6 |
Tangent Planes The Chain Rule Directional Derivatives |
Due Wed Mar 15.5 #4-6, 10-12, 40 15.6 4-6, 8-10, 11-13,31, 33, 34 |
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7
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15.7 16.1 16.2 |
Maxima and Minima Double integrals Iterated integrals |
Due Mon Mar 26 16.3 #1, 3, 5, 13, 20, 21, 37 16.4 #7, 10, 17, 19, 22, 29, 31, 37 |
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8
|
Spring Break |
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|
|
9
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16.3 16.6 16.7 |
General Regions Surface Area Triple Integrals |
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10
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16.8 16.9 * |
Integrals in cylindrical coordinates Changing variables Review |
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11
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* 17.1 17.2 |
EXAM 2 Vector Fields Line Integrals |
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12
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17.3 17.4 17.5 |
The Fundamental Theorem Green's Theorem Curl and Divergence |
Due Fri Apr 30 17.3 # 3, 5, 7, 9, 11, 13, 15, 19, 22, 23, 27 17.4 #1, 3, 7, 9, 11, 13, 17 17.5 # 1, 3, 5, 7, 9, 10, 11, 12,13, 15, 22, 31, 36. |
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13
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17.6 17.7 |
Parametric Surfaces Surface Integrals |
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14
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17.8 17.9 |
Stoke's Theorem The Divergence Theorem |
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15
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* * * |
Review Review Review |
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