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Day |
Sec |
Topic |
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Introduction |
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12.1 |
3D Coordinate System |
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12.2 |
Vectors |
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12.3 |
Dot Product |
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12.4 |
Cross Product |
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12.5 |
Equations of Lines and Planes |
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12.5 |
Equations of Lines and Planes |
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12.6 |
Cylinders and Quadratic
Surfaces |
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13.1 |
Vector Functions and Space
Curves |
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13.2 |
Derivative and Integrals of
Vector Functions |
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13.3 |
Arc Length and Curvature |
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13.4 |
Motion in Space |
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Review |
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Exam I - Chapters 12 and 13 |
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14.1 |
Functions of Several Variables |
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14.2 |
Limits and Continuity |
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14.3 |
Partial Derivatives |
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14.3 |
Partial Derivatives |
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14.4 |
Tangent Planes - Differential |
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14.4 |
Tangent Planes |
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14.5 |
Chain Rule |
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14.5 |
Chain Rule |
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14.6 |
Directional Derivatives -
Gradient |
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14.6 |
Directional Derivatives -
Gradient |
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14.7 |
Maxima and Minima |
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14.7 |
Maxima and Minima |
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14.8 |
Lagrange Multipliers |
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Review |
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Exam II - Chapter 14 |
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15.1 |
Double Integrals over
Rectangles |
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15.2 |
Double Integrals over General
Regions |
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15.2 |
Double Integrals over General
Regions |
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15.3 |
Double Integrals in Polar
Coordinates |
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15.3 |
Double Integrals in Polar
Coordinates |
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15.4 |
Applications of Double
Integrals |
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15.4 |
Applications of Double
Integrals |
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15.5 |
Surface Area |
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15.5 |
Surface Area |
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15.6 |
Triple Integrals |
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15.6 |
Triple Integrals |
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15.7 |
Triple Integrals in
Cylindrical Coordinates |
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15.7 |
Triple Integrals in
Cylindrical Coordinates |
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15.8 |
Triple Integrals in Spherical
Coordinates |
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15.8 |
Triple Integrals in Spherical
Coordinates |
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15.9 |
Change of Variables Theorem |
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Review |
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Exam III |
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16.1 |
Vector Fields |
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16.2 |
Line Integrals |
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16.2 |
Line Integrals (Cont) |
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16.3 |
Fundamental Theorem for Line
Integrals 1 |
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16.3 |
Fundamental Theorem for Line
Integrals 2 |
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16.4 |
Curl - Divergence |
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16.5 |
Green's Theorem (Stokes'
Theorem in 2D) |
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16.5 |
Green's Theorem |
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16.6 |
Parametric Surfaces |
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16.6 |
Parametric Surfaces (Cont) |
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16.7 |
Surface Integrals |
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16.7 |
Surface Integrals (Cont) |
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16.8 |
Stokes' Theorem |
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16.8 |
Stokes' Theorem (Cont) |
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Differential Forms |
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16.9 |
Divergence Theorem |
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16.9 |
Divergence Theorem |
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16.10 |
Summary |
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Review |
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Exam IV - Chapter 16 |
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Preparation for Final |
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Preparation for Final |
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Preparation for Final |
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Reading Day |
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