Difference between revisions of "MAT2214"
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* Absolute maxima and minima on closed and bounded regions | * Absolute maxima and minima on closed and bounded regions | ||
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− | |Week 9 | + | |Week 8/9 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">5.1</div> |
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− | [[Double | + | [[Double Integrals over Rectangular Regions]] |
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− | * Double Integrals | + | * Double Integrals over Rectangular Regions. |
− | * Fubini's Theorem (part 1) | + | * Interated Integrals. |
− | + | * Fubini's Theorem (part 1). | |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">5.2</div> |
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* [[Continuity]] <!-- 1214-3.5 --> | * [[Continuity]] <!-- 1214-3.5 --> | ||
* [[Determining Volumes by Slicing]] <!-- 1224-2.2 --> | * [[Determining Volumes by Slicing]] <!-- 1224-2.2 --> | ||
− | * [[Double and Iterated Integrals over | + | * [[Double and Iterated Integrals over Rectangular regions]] <!-- 2214-5.1 --> |
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− | * Double integrals over bounded, | + | * Double integrals over bounded, general regions |
− | * | + | * Properties of double Integrals |
* Fubini's theorem (part 2) | * Fubini's theorem (part 2) | ||
− | * | + | * Changing the order of Integration. |
− | * | + | * Calculating Volumes, Areas and Average Values |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">5.3</div> |
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− | + | * Double Integrals in Polar Coordinates: | |
− | * Integrals in Polar | + | Double Integrals over rectangular polar regions, and |
− | + | Double Integrals over general polar regions. | |
− | * Changing Cartesian Integrals into Polar Integrals | + | * Changing Cartesian Integrals into Polar Integrals. |
− | + | * Finding Volumes, Areas using Double Integrals in Polar Coordinates. | |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">5.4</div> |
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− | <div style="text-align: center;">Chapter 5</div> | + | <div style="text-align: center;">Chapter 5.4</div> |
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− | * [[Double | + | * [[Double Integrals]] <!-- 2214-5.1, 2214-5.2 --> |
* [[Area by Double Integration]] <!-- 2214-15.3 --> | * [[Area by Double Integration]] <!-- 2214-15.3 --> | ||
* '''[[Change of Variables]]''' <!-- DNE (recommend 1073) --> | * '''[[Change of Variables]]''' <!-- DNE (recommend 1073) --> | ||
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− | * Triple Integrals | + | * Triple Integrals over general bounded regions. |
− | + | * Finding Volumes by evaluating Triple Integrals. | |
− | * Finding | + | * Average value of a function in space. |
− | * Average value of a function in space | + | * Changing Integration Order and Coordinate systems. |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">5.5</div> |
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* [[Double Integrals in Polar Form]] <!-- 2214-15.4 --> | * [[Double Integrals in Polar Form]] <!-- 2214-15.4 --> | ||
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* [[Triple Integrals in Rectangular Coordinates]] <!-- 2214-15.5 --> | * [[Triple Integrals in Rectangular Coordinates]] <!-- 2214-15.5 --> | ||
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* Spherical coordinates and integrations | * Spherical coordinates and integrations | ||
* Equations relating spherical coordinates to Cartesian and cylindrical coordinates | * Equations relating spherical coordinates to Cartesian and cylindrical coordinates | ||
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">5.6</div> |
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− | [[Applications of | + | [[Applications of Multiple Integrals]] |
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− | * [[ | + | * [[Double Integral]] <!-- 2214-5.2,2214-5.3 --> |
− | * [[Triple Integrals | + | * [[Triple Integrals]] <!-- 2214-5.3,2214-5.4 --> |
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− | * Masses | + | * Finding Masses, Moments, Centers of Masses, Moments of Inertia |
− | * Moments of Inertia | + | in Two Dimensions. |
− | + | * Finding Masses, Moments, Centers of Masses, Moments of Inertia | |
− | + | in Three Dimensions. | |
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Revision as of 22:25, 25 October 2020
Topics List
Date | Sections | Topics | Prerequisite Skills | Student Learning Outcomes | |
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Week 1 |
1.1
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Week 1 |
1.2
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Weeks 1/2 |
2.1
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Week 2 |
2.2
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Week 2 |
2.3
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Week 2 |
2.4
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Week 3 |
2.5
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Week 3 |
2.6
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Weeks 3/4 |
3.1, 3.2
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Week 4 |
3.3
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Weeks 4/5 |
3.4
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Week 5/6 |
4.1
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Week 6 |
4.2
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Week 6 |
4.3
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Week 7 |
4.4
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Week 7 |
4.5
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Tangent Plane Differentiability
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Week 7 |
4.6
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Week 8 |
4.7
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Week 8/9 |
4.8
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Week 9/10 |
5.1
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Week 10 |
5.2
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Week 11 |
5.3
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Double Integrals over rectangular polar regions, and Double Integrals over general polar regions.
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Week 11 |
5.4
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Week 11 |
Chapter 5.4
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Week 12 |
5.5
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Week 12 |
5.6
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in Two Dimensions.
in Three Dimensions. | |||
Week 14 |
Chapter 6
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Week 14 |
Chapter 6
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Week 14 |
Chapter 6
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Weeks 14/15 |
Chapter 6
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