Difference between revisions of "MAT2214"
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− | [[ | + | [[Limit and Continuity of Function of Several Variables]] |
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− | * [[The | + | * [[The derivative and second derivative of a function ]] <!-- 1214-3.2 --> |
− | * [[ | + | * [[The limit and continuity for a function of several variables]] <!-- 2214-14.2 --> |
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− | + | [[Tangent Plane]] | |
[[Linear Approximations]] | [[Linear Approximations]] | ||
+ | [[Differentiability]] | ||
+ | [[Total Differentiability]] | ||
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* [[Partial Derivatives]] <!-- 1214-14.3 --> | * [[Partial Derivatives]] <!-- 1214-14.3 --> | ||
− | * [[ | + | * [[Parametric Equations of Lines]] |
− | * [[ | + | * [[Equations of Planes]] |
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− | * Determine the equation of a plane tangent to a given surface at a point | + | * Determine the equation of a plane tangent to a given surface at a point |
− | * | + | * Determine the parametric equation of a normal line to a given surface at a point |
− | * | + | * The linear approximation of a function of two variables at a point |
+ | * The definition of differentiability for a function of two variables | ||
+ | * Differentiability implies Continuity | ||
+ | * Continuity of First Partial Derivatives implies Differentiability | ||
+ | * The definition of total differentiability for a function of two variables | ||
* Use the total differential to approximate the change in a function of two variables | * Use the total differential to approximate the change in a function of two variables | ||
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− | * [[ | + | * [[Limit and Continuity for a Function of several variables|Extreme values on closed and bounded domains]] <!-- 2214-14.2 --> |
* [[Partial Derivatives]] <!-- 1214-14.3 --> | * [[Partial Derivatives]] <!-- 1214-14.3 --> | ||
− | * [[Maxima and | + | * [[Maxima, Minima and Critical Points of a Function]] <!-- 1214-4.3 --> |
− | * [[ | + | * [[Continuity of functions with two variables]] <!-- 2214-14.2 --> |
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− | + | * Extreme values on closed and bounded domains | |
* The derivative test for local extreme values | * The derivative test for local extreme values | ||
* Critical points and saddle points for functions of two variables | * Critical points and saddle points for functions of two variables |
Revision as of 16:28, 23 September 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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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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[xx] |
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Week 7 |
Chapter 4
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Tangent Plane Linear Approximations Differentiability Total Differentiability |
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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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