Difference between revisions of "MAT2214"
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(Added content to the table(16.5)) |
(Altered the table to match the new list of Topics (several large changes to contents)) |
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+ | |Week 1 | ||
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+ | <div style="text-align: center;">Chapter 1</div> | ||
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+ | [[Polar Coordinates]] | ||
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+ | * [[Trigonometric Functions: Unit Circle Approach]] <!-- 1093-2.2 --> | ||
+ | * [[The inverse Sine, Cosine and Tangent functions]] <!-- 1093-3.1 --> | ||
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+ | * Plot points using polar coordinates and find several polar coordinates of a single point | ||
+ | * Convert polar coordinates to rectangular coordinates and vice versa | ||
+ | * Transform equations from polar form to rectangular form and vice versa | ||
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|Week 1 | |Week 1 | ||
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 1</div> |
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− | | | + | |Weeks 1/2 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 2</div> |
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− | [[Vectors]] | + | [[Vectors in The Plane and in Three Dimensions]] |
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* Midpoint of a Line Segment | * Midpoint of a Line Segment | ||
* Angle between vectors | * Angle between vectors | ||
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* Orthogonal vectors | * Orthogonal vectors | ||
* Vector projection | * Vector projection | ||
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+ | |Week 2 | ||
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+ | <div style="text-align: center;">Chapter 2</div> | ||
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+ | [[Vectors in Space]] | ||
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+ | * [[Vecotors in the Plane and in Three Dimensions]] | ||
+ | * [[Distance Formula]] <!-- DNE (recommend pairing with discussion of absolute value function) --> | ||
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+ | || | ||
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+ | * Vector Algebra Operations | ||
+ | * Magnitude of a vector | ||
+ | * Unit Vectors | ||
+ | * Midpoint of a Line Segment | ||
+ | * Angle between vectors | ||
+ | * Orthogonal vectors | ||
+ | * Vector projection | ||
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+ | |- | ||
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 2</div> |
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− | |Week 2 | + | |Week 2 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 2</div> |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 2</div> |
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+ | |Weeks 3/4 | ||
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapters 2 and 3</div> |
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[[Curves in Space and Vector Functions]] | [[Curves in Space and Vector Functions]] | ||
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− | |Week 4 | + | |Week 4 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 3</div> |
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− | + | [[Vector-Valued Functions: Arc Length]] | |
− | [[Arc Length]] | ||
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+ | |Weeks 4/5 | ||
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 3</div> |
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[[Curvature and Normal Vectors]] | [[Curvature and Normal Vectors]] | ||
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− | | | + | |Weeks 4/5 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 3</div> |
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− | |Week | + | |
+ | |Week 6 | ||
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 4</div> |
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− | |Week | + | |Week 6 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 4</div> |
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− | |Week | + | |Week 6 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 4</div> |
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− | |Week | + | |Week 7 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 4</div> |
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− | |Week | + | |Week 7 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 4</div> |
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− | |Week | + | |Week 7 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 4</div> |
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− | |Week | + | |Week 8 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 4</div> |
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− | [[ | + | [[Maxima and Minima Problems]] |
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− | |Week | + | |Week 10 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 5</div> |
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* Double Integrals | * Double Integrals | ||
* Fubini's Theorem (part 1) | * Fubini's Theorem (part 1) | ||
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− | |Week | + | |Week 10 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 5</div> |
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− | |Week | + | |
+ | |Week 11 | ||
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 5</div> |
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− | [[ | + | [[Double Integrals in Polar Coordinates]] |
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* [[Double Integrals over General Regions]] <!-- 2214-15.2 --> | * [[Double Integrals over General Regions]] <!-- 2214-15.2 --> | ||
− | * [[ | + | * [[Parametric Equations| Polar Coordinates]] <!-- 1093-5.1 --> |
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− | * | + | * Integrals in Polar Form |
− | * | + | * Finding limits of integration for polar coordinates |
+ | * Changing Cartesian Integrals into Polar Integrals | ||
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− | |Week | + | |
+ | |Week 11 | ||
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 5</div> |
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− | [[Double Integrals | + | [[Applications of Double Integrals]] |
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− | * [[ | + | * [[Moments and Center of Mass]] <!-- 1224-2.6 --> |
− | * [[ | + | * [[Triple Integrals in Rectangular Coordinates]] <!-- 2214-15.5 --> |
+ | * [[Partial Derivatives]] <!-- 1214-14.3 --> | ||
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− | * | + | * Masses and First moments |
− | * | + | * Moments of Inertia |
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− | |Week | + | |
+ | |Week 11 | ||
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 5</div> |
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− | |Week | + | |
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+ | |Week 12 | ||
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 5</div> |
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− | + | [[Triple Integrals in Cylindrical and Spherical Coordinates]] | |
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− | [[ | ||
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− | * [[ | + | * [[Double Integrals in Polar Form]] <!-- 2214-15.4 --> |
+ | * [[Parametric Equations| Polar Form]] <!-- 1093-5.1 --> | ||
* [[Triple Integrals in Rectangular Coordinates]] <!-- 2214-15.5 --> | * [[Triple Integrals in Rectangular Coordinates]] <!-- 2214-15.5 --> | ||
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− | * | + | * Integration in Cylindrical Coordinates |
− | * | + | * Equations relating rectangular and cylindrical coordinates |
− | + | * Spherical coordinates and integrations | |
+ | * Equations relating spherical coordinates to Cartesian and cylindrical coordinates | ||
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− | |Week | + | |Week 12 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 5</div> |
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− | [[Triple Integrals | + | [[Applications of Triple Integrals]] |
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− | * [[ | + | * [[Moments and Center of Mass]] <!-- 1224-2.6 --> |
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* [[Triple Integrals in Rectangular Coordinates]] <!-- 2214-15.5 --> | * [[Triple Integrals in Rectangular Coordinates]] <!-- 2214-15.5 --> | ||
+ | * [[Partial Derivatives]] <!-- 1214-14.3 --> | ||
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− | * | + | * Masses and First moments |
− | + | * Moments of Inertia | |
− | * | ||
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− | |Week | + | |Week 14 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 6</div> |
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− | |Week | + | |
+ | |Week 14 | ||
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 6</div> |
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− | [[Vector Fields | + | [[Vector Fields]] |
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− | + | |Week 14 | |
− | |Week | ||
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 6</div> |
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− | [[ | + | [[Conservation Fields]] |
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− | | | + | |Weeks 14/15 |
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− | <div style="text-align: center;"> | + | <div style="text-align: center;">Chapter 6</div> |
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Revision as of 19:10, 12 August 2020
Topics List
Date | Sections | Topics | Prerequisite Skills | Student Learning Outcomes | |
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Week 1 |
Chapter 1
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Week 1 |
Chapter 1
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Weeks 1/2 |
Chapter 2
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Week 2 |
Chapter 2
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Week 2 |
Chapter 2
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Week 2 |
Chapter 2
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Week 3 |
Chapter 2
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Weeks 3/4 |
Chapters 2 and 3
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Week 4 |
Chapter 3
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Weeks 4/5 |
Chapter 3
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Weeks 4/5 |
Chapter 3
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Week 6 |
Chapter 4
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Week 6 |
Chapter 4
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Week 6 |
Chapter 4
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Week 7 |
Chapter 4
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Week 7 |
Chapter 4
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Week 7 |
Chapter 4
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Week 8 |
Chapter 4
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Week 10 |
Chapter 5
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Week 10 |
Chapter 5
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Week 11 |
Chapter 5
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Week 11 |
Chapter 5
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Week 11 |
Chapter 5
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Week 12 |
Chapter 5
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Week 12 |
Chapter 5
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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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