Difference between revisions of "MAT2214"
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* [[Domain of a Function]] <!-- 1073-Mod 1.2 --> | * [[Domain of a Function]] <!-- 1073-Mod 1.2 --> | ||
* [[Range of a Function]] <!-- 1073-Mod 1.2 --> | * [[Range of a Function]] <!-- 1073-Mod 1.2 --> | ||
− | * [[Solving Inequalities | + | * [[Solving Inequalities]] <!-- 1073-Mod R --> |
* [[Graphs| Graphing a Function]] <!-- 1073-Mod R --> | * [[Graphs| Graphing a Function]] <!-- 1073-Mod R --> | ||
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− | + | * Functions of two variables | |
+ | * Functions of three variables | ||
* Domain and range of multivariable functions | * Domain and range of multivariable functions | ||
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* Bounded regions | * Bounded regions | ||
* Graphs and level curves of two variable functions | * Graphs and level curves of two variable functions | ||
− | * | + | * Level surfaces of three variable functions |
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− | * [[The Limit of a Function]] <!-- 1214-2.2 | + | * [[The Limit and Continuity of a Function]] <!-- 1214-2.2, 2.4 --> |
− | + | * [[The Limit Laws for Functions]] <!-- 1214-2.3 --> | |
− | * [[The Limit Laws]] <!-- 1214-2.3 --> | ||
* [[Composition of Functions]] <!-- 1073-Mod 7.1 --> | * [[Composition of Functions]] <!-- 1073-Mod 7.1 --> | ||
* [[The Dot Product]] <!-- 2214-12.3 --> | * [[The Dot Product]] <!-- 2214-12.3 --> | ||
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* Limits of functions of two variables | * Limits of functions of two variables | ||
− | * Properties of limits of functions of | + | * Limits of functions of more than two variables |
− | * Continuity for functions of | + | * Properties of limits of functions of several variables |
+ | * Two path test of non-existing of a limit | ||
+ | * Continuity for functions of several variables | ||
* Continuity of composition | * Continuity of composition | ||
− | + | * Extreme values on closed and bounded domains | |
− | * Extreme values on closed and bounded | ||
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− | * [[The Derivative | + | * [[The Derivative and Second derivative of a function ]] <!-- 1214-3.2 --> |
− | * [[Limits and Continuity | + | * [[Limits and Continuity for functions of several variables]] <!-- 2214-14.2 --> |
− | + | ||
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* Second order partial derivatives | * Second order partial derivatives | ||
* Mixed derivative theorem | * Mixed derivative theorem | ||
− | + | ||
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− | * [[Differentiation Rules]] <!-- 1214-3.3 --> | + | * [[Differentiation Rules of Functions]] <!-- 1214-3.3 --> |
− | * [[The Chain Rule]] <!-- 1214-3.6 | + | * [[The Chain Rule of Functions]] <!-- 1214-3.6 --> |
− | |||
− | |||
* [[Partial Derivatives]] <!-- 1214-14.3 --> | * [[Partial Derivatives]] <!-- 1214-14.3 --> | ||
|| | || | ||
− | * Chain rule for functions of one independent variable and | + | * 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 | + | * Method for implicit differentiation. |
− | * | + | * The general chain rule for functions of several independent variables |
− | * The general chain rule | ||
|- | |- | ||
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* [[Trigonometric Functions]] <!-- 1093-2.2 --> | * [[Trigonometric Functions]] <!-- 1093-2.2 --> | ||
− | + | * [[Vectors, Unit Vectors]] <!-- 2214-12.2 --> <!-- 2233-1.1 --> | |
− | * [[Vectors | ||
* [[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 |
* Gradients | * Gradients | ||
* Properties of directional derivatives | * Properties of directional derivatives | ||
* 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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Revision as of 15:53, 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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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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