Difference between revisions of "MAT2214"
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* [[Antiderivatives]] <!-- 1214-4.10 --> | * [[Antiderivatives]] <!-- 1214-4.10 --> | ||
* [[Vectors]] <!-- 1214-12.2 --> | * [[Vectors]] <!-- 1214-12.2 --> | ||
* [[Parametric Equations]] <!-- 1224-7.1 --> | * [[Parametric Equations]] <!-- 1224-7.1 --> | ||
* [[The Unit Tangent Vector]] <!-- 1224-13.3 --> | * [[The Unit Tangent Vector]] <!-- 1224-13.3 --> | ||
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* The curvature | * The curvature | ||
* The Principal Unit Normal Vector | * The Principal Unit Normal Vector | ||
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* [[The Cross Product]] <!-- 2214-12.4 --> | * [[The Cross Product]] <!-- 2214-12.4 --> | ||
* [[Curves in Space and Vector Functions|Derivatives of Vector Functions]] <!-- 1224-7.1 --> | * [[Curves in Space and Vector Functions|Derivatives of Vector Functions]] <!-- 1224-7.1 --> | ||
* [[Curvature and Normal Vectors]] <!-- 2214-13.4 --> | * [[Curvature and Normal Vectors]] <!-- 2214-13.4 --> | ||
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* The Binormal Vector | * The Binormal Vector | ||
* The tangential and normal components of acceleration | * The tangential and normal components of acceleration | ||
* The Torsion | * The Torsion | ||
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* Continuity of composition | * Continuity of composition | ||
* Extreme values on closed and bounded domains | * Extreme values on closed and bounded domains | ||
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* Partial derivatives for functions of two variables | * Partial derivatives for functions of two variables | ||
* Partial derivatives for functions of more than two variables | * Partial derivatives for functions of more than two variables | ||
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* Second order partial derivatives | * Second order partial derivatives | ||
* Mixed derivative theorem | * Mixed derivative theorem | ||
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* [[Differentiation Rules of Functions]] <!-- 1214-3.3 --> | * [[Differentiation Rules of Functions]] <!-- 1214-3.3 --> | ||
* [[The Chain Rule of Functions]] <!-- 1214-3.6 --> | * [[The Chain Rule of Functions]] <!-- 1214-3.6 --> | ||
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* Chain rule for functions of one independent variable and several intermediate variables. | * Chain rule for functions of one independent variable and several intermediate variables. | ||
* Chain rule for functions of two independent variable and several intermediate variables. | * Chain rule for functions of two independent variable and several intermediate variables. | ||
* Method for implicit differentiation. | * Method for implicit differentiation. | ||
* The general chain rule for functions of several independent variables | * The general chain rule for functions of several independent variables | ||
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* [[Trigonometric Functions]] <!-- 1093-2.2 --> | * [[Trigonometric Functions]] <!-- 1093-2.2 --> | ||
* [[Vectors, Unit Vectors]] <!-- 2214-12.2 --> <!-- 2233-1.1 --> | * [[Vectors, Unit Vectors]] <!-- 2214-12.2 --> <!-- 2233-1.1 --> | ||
* [[Partial Derivatives]] <!-- 1214-14.3 --> | * [[Partial Derivatives]] <!-- 1214-14.3 --> | ||
* [[The Dot Product]] <!-- 2214-12.3 --> | * [[The Dot Product]] <!-- 2214-12.3 --> | ||
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* Directional derivatives for functions of two variables | * Directional derivatives for functions of two variables | ||
* Gradients | * Gradients | ||
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* Tangents to level curves | * Tangents to level curves | ||
* Directional derivatives for functions of three variables | * Directional derivatives for functions of three variables | ||
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* [[Partial Derivatives]] <!-- 1214-14.3 --> | * [[Partial Derivatives]] <!-- 1214-14.3 --> | ||
* [[Parametric Equations of Lines]] | * [[Parametric Equations of Lines]] | ||
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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 | * Determine the parametric equation of a normal line to a given surface at a point | ||
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* The definition of total differentiability for a function of two variables | * 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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|Week 8 | |Week 8 | ||
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* [[Limit and Continuity for a Function of several variables|Extreme values on closed and bounded domains]] <!-- 2214-14.2 --> | * [[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 --> | ||
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* Second derivative test for local extreme values | * Second derivative test for local extreme values | ||
* Absolute maxima and minima on closed and bounded regions | * Absolute maxima and minima on closed and bounded regions | ||
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Revision as of 16:40, 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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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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