Difference between revisions of "MAT2214"
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(Added content to the table (15.4-15.7)) |
(Completed first version of the table) |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">16.1</div> |
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− | [[ | + | [[Line Integrals of Scalar Functions]] |
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− | * [[ | + | * [[Parametric Equations]] <!-- 1224-7.1 --> |
− | * [[ | + | * [[Curves in Space and Vector Functions]] <!-- 2214-13.1 --> |
− | * [[ | + | * [[Arc Length]] <!-- 1224-13.3 --> |
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− | * | + | * Evaluating a Line Integral |
− | * | + | * Additivity of Line Integrals |
− | * | + | * Mass and Moments |
+ | * Line Integrals in the plane | ||
+ | |||
+ | |- | ||
+ | |||
+ | |||
+ | |Week 17/18 | ||
+ | |||
+ | || | ||
+ | |||
+ | <div style="text-align: center;">16.2</div> | ||
+ | |||
+ | || | ||
+ | |||
+ | [[Vector Fields and Line Integrals]] | ||
+ | |||
+ | || | ||
+ | |||
+ | * [[The Dot Product]] <!-- 2214-12.3 --> | ||
+ | * [[Directional Derivatives and Gradient Vectors]] <!-- 2214-14.5 --> | ||
+ | * [[Parametric Equations]] <!-- 1224-7.1 --> | ||
+ | * [[Line Integrals of Scalar Functions]] <!-- 2214-16.1 --> | ||
+ | |||
+ | || | ||
+ | |||
+ | * Vector Fields | ||
+ | * Gradient Fields | ||
+ | * Line Integrals of vector fields | ||
+ | * Line integrals with respect to each components direction | ||
+ | * Work done by a force over a curve in space | ||
+ | * Flow integrals and circulation for velocity fields | ||
+ | * Flux across a simple closed plane curve | ||
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+ | |||
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">16.3</div> |
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− | [[ | + | [[Path Independence and Conservation Fields]] |
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− | * [[ | + | * [[Vector Fields and Line Integrals]] <!-- 2214-16.2 --> |
− | * [[ | + | * [[Partial Derivatives]] <!-- 1214-14.3 --> |
− | * [[ | + | * [[Vector Fields and Line Integrals|Gradient Fields]] <!-- 2214-16.2 --> |
+ | * [[Tangent Planes and Differentials]] <!-- 2214-14.6 --> | ||
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− | * | + | * Path Independence |
+ | * Piecewise smooth curves and connected domains in open regions | ||
+ | * Line integrals in Conservation fields | ||
+ | * Finding potentials for conservative fields | ||
+ | * Exact Differential forms | ||
+ | |||
+ | |||
+ | |- | ||
+ | |||
+ | |||
+ | |Week 17/18 | ||
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+ | |||
+ | <div style="text-align: center;">16.4</div> | ||
+ | |||
+ | || | ||
+ | |||
+ | [[Green's Theorem]] | ||
+ | |||
+ | || | ||
+ | |||
+ | * [[Vector Fields and Line Integrals]] <!-- 2214-16.2 --> | ||
+ | * [[Partial Derivatives]] <!-- 1214-14.3 --> | ||
+ | * [[Dot Product]] <!-- 2214-16.3 --> | ||
+ | * [[Path Independence and Conservation Fields]] <!-- 2214-16.3 --> | ||
+ | |||
+ | || | ||
+ | |||
+ | * Circulation Density | ||
+ | * Divergence (flux density) of a vector field | ||
+ | * The two forms of Green's theorem (Tangential and Normal forms) | ||
+ | * Green's theorem for evaluating line integrals |
Revision as of 06:50, 3 July 2020
Topics List
Date | Sections | Topics | Prerequisite Skills | Student Learning Outcomes | |
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Week 1 |
1.3
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Week 1 and 2 |
12.2
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Week 3 |
12.3
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Week 3/4 |
12.4
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Week 4 |
12.5
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Week 4/5 |
13.1
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Week 5/6 |
13.2
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Week 6/7 |
13.3
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Week 6 |
13.4
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Week 7 |
13.5
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Week 7/8 |
14.1
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Week 6/7 |
14.2
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Week 7 |
14.3
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Week 8 |
14.4
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Week 8/9 |
14.5
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Week 9 |
14.6
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Week 10/11 |
14.7
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Week 11/12 |
14.8
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Week 11 |
14.9
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Week 11/12 |
15.1
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Week 12 |
15.2
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Week 13/14 |
15.3
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Week 14 |
15.4
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Week 15 |
15.5
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Week 15/16 |
15.6
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Week 16 |
15.7
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Week 17 |
16.1
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Week 17/18 |
16.2
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Week 17/18 |
16.3
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Week 17/18 |
16.4
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