Difference between revisions of "MAT2214"
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(→Topics List: Corrected formatting) |
(→Topics List: Removed HTML formatting) |
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− | |Week | + | |Week 1 |
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− | + | 1.1 | |
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− | * [[Trigonometric Functions: Unit Circle Approach]] | + | * [[Trigonometric Functions: Unit Circle Approach]] |
− | * [[Inverse Trigonometric Functions]] | + | * [[Inverse Trigonometric Functions]] |
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* Plot points using polar coordinates and find several polar coordinates of a single point | * Plot points using polar coordinates and find several polar coordinates of a single point | ||
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− | |Week | + | |Week 1 |
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− | + | 1.2 | |
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− | * [[Two-dimensional coordinate systems]] | + | * [[Two-dimensional coordinate systems]] |
− | * [[Solving Equations and Inequalities| Algebraic Expressions]] | + | * [[Solving Equations and Inequalities| Algebraic Expressions]] |
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− | |Weeks | + | |Weeks 1/2 |
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− | + | 2.1 | |
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− | * [[Linear Equations|Line Segments]] | + | * [[Linear Equations|Line Segments]] |
− | * [[Distance Formula| Distance Formula]] | + | * [[Distance Formula| Distance Formula]] |
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− | |Week | + | |Week 2 |
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− | + | 2.3 | |
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− | * [[Trigonometric Functions|Basic Trig Functions]] | + | * [[Trigonometric Functions|Basic Trig Functions]] |
− | * [[Vectors]] | + | * [[Vectors]] |
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− | |Week | + | |Week 2 |
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− | + | 2.4 | |
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− | * [[Trigonometric Functions|Basic Trig Functions]] | + | * [[Trigonometric Functions|Basic Trig Functions]] |
− | * [[Determinants]] | + | * [[Determinants]] |
* [[Vectors]] | * [[Vectors]] | ||
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− | |Week | + | |Week 3 |
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− | + | 2.5 | |
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− | * [[The Dot Product]] | + | * [[The Dot Product]] |
* [[The Cross Product]] | * [[The Cross Product]] | ||
− | * [[Quadratic Functions]] | + | * [[Quadratic Functions]] |
− | * [[Parametric Equations]] | + | * [[Parametric Equations]] |
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− | |Week | + | |Week 3 |
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− | + | 2.6 | |
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− | * [[Quadratic Functions]] | + | * [[Quadratic Functions]] |
− | * [[Parametric Equations]] | + | * [[Parametric Equations]] |
− | * '''[[Conics]]''' | + | * '''[[Conics]]''' |
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− | |Weeks | + | |Weeks 3/4 |
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− | + | 3.1, 3.2 | |
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− | * [[Parametric Equations]] | + | * [[Parametric Equations]] |
− | * [[Vectors]] | + | * [[Vectors]] |
− | * [[The Derivative as a Function]] | + | * [[The Derivative as a Function]] |
− | * [[The Limit of a Function]] | + | * [[The Limit of a Function]] |
− | * [[Continuity]] | + | * [[Continuity]] |
− | * [[The Dot Product]] | + | * [[The Dot Product]] |
− | * [[The Cross Product]] | + | * [[The Cross Product]] |
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− | |Week | + | |Week 4 |
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− | + | 3.3 | |
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− | * '''[[Distance Formula| The Length of a Line Segment]]''' | + | * '''[[Distance Formula| The Length of a Line Segment]]''' |
− | * [[Curves in Space and Vector-Valued Functions|Vector Functions]] | + | * [[Curves in Space and Vector-Valued Functions|Vector Functions]] |
− | * [[Line Integrals|Integrals of Vector Functions]], [[Derivatives of Vector Functions]] | + | * [[Line Integrals|Integrals of Vector Functions]], [[Derivatives of Vector Functions]] |
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− | |Weeks | + | |Weeks 4/5 |
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− | + | 3.4 | |
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− | * [[Vectors]] | + | * [[Vectors]] |
− | * [[Parametric Equations]] | + | * [[Parametric Equations]] |
− | * [[The Cross Product]] | + | * [[The Cross Product]] |
− | * [[Derivatives of Vector Functions]] | + | * [[Derivatives of Vector Functions]] |
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* The Unit tangent vector | * The Unit tangent vector | ||
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− | |Week | + | |Week 5/6 |
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− | + | 4.1 | |
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− | * [[Domain of a Function]] | + | * [[Domain of a Function]] |
− | * [[Range of a Function]] | + | * [[Range of a Function]] |
− | * [[Solving Equations and Inequalities]] | + | * [[Solving Equations and Inequalities]] |
− | * [[Graphs| Graphing a Function]] | + | * [[Graphs| Graphing a Function]] |
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− | |Week | + | |Week 6 |
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− | + | 4.2 | |
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− | * [[Continuity]] | + | * [[Continuity]] |
− | * [[The Limit Laws]] | + | * [[The Limit Laws]] |
− | * [[Composition of Functions]] | + | * [[Composition of Functions]] |
− | * [[The Dot Product]] | + | * [[The Dot Product]] |
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− | |Week | + | |Week 6 |
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− | + | 4.3 | |
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− | * [[The Derivative as a Function|The first]] and [[The Second Derivative|second derivative]] of a function | + | * [[The Derivative as a Function|The first]] and [[The Second Derivative|second derivative]] of a function |
− | * [[Limit and Continuity of Function of Several Variables]] | + | * [[Limit and Continuity of Function of Several Variables]] |
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− | |Week | + | |Week 7 |
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− | + | 4.4 | |
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− | * [[Trigonometric Functions]] | + | * [[Trigonometric Functions]] |
− | * [[Vectors, Unit Vectors]] | + | * [[Vectors, Unit Vectors]] |
− | * [[Partial Derivatives]] | + | * [[Partial Derivatives]] |
* [[Gradients]] | * [[Gradients]] | ||
− | * [[The Dot Product]] | + | * [[The Dot Product]] |
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* Directional derivatives for functions of two variables | * Directional derivatives for functions of two variables | ||
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− | |Week | + | |Week 7 |
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− | + | 4.5 | |
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− | * [[Partial Derivatives]] | + | * [[Partial Derivatives]] |
* [[Parametric Equations]] of Lines | * [[Parametric Equations]] of Lines | ||
* [[Equations of Lines, Planes and Surfaces in Space]] | * [[Equations of Lines, Planes and Surfaces in Space]] | ||
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− | |Week | + | |Week 7 |
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− | + | 4.6 | |
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− | * [[Differentiation Rules]] | + | * [[Differentiation Rules]] |
− | * [[The Chain Rule]] | + | * [[The Chain Rule]] |
− | * [[Partial Derivatives]] | + | * [[Partial Derivatives]] |
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* The general chain rule for functions of several independent variables | * The general chain rule for functions of several independent variables | ||
|- | |- | ||
− | |Week | + | |Week 8 |
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− | + | 4.7 | |
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− | * [[Extreme values on closed and bounded domains]] | + | * [[Extreme values on closed and bounded domains]] |
− | * [[Partial Derivatives]] | + | * [[Partial Derivatives]] |
− | * [[Maxima and Minima|Maxima, Minima and Critical Points of a Function]] | + | * [[Maxima and Minima|Maxima, Minima and Critical Points of a Function]] |
− | * [[Limit and Continuity of Function of Several Variables]] | + | * [[Limit and Continuity of Function of Several Variables]] |
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* Absolute maxima and minima on closed and bounded regions | * Absolute maxima and minima on closed and bounded regions | ||
|- | |- | ||
− | |Week | + | |Week 8/9 |
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− | + | 4.8 | |
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− | * [[Partial Derivatives]] | + | * [[Partial Derivatives]] |
− | * [[Critical Points of a Function]] | + | * [[Critical Points of a Function]] |
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− | |Week | + | |Week 9/10 |
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− | + | 5.1 | |
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− | * [[Approximating Areas]] | + | * [[Approximating Areas]] |
− | * [[The Definite Integral|Limits of Riemann Sums]] | + | * [[The Definite Integral|Limits of Riemann Sums]] |
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− | |Week | + | |Week 10 |
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− | + | 5.2 | |
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− | * [[Continuity]] | + | * [[Continuity]] |
− | * [[Determining Volumes by Slicing]] | + | * [[Determining Volumes by Slicing]] |
− | * [[Multiple Integrals|Double and Iterated Integrals over Rectangular regions]] | + | * [[Multiple Integrals|Double and Iterated Integrals over Rectangular regions]] |
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− | |Week | + | |Week 11 |
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− | + | 5.3 | |
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− | * [[Multiple Integrals|Double Integrals over General Regions]] | + | * [[Multiple Integrals|Double Integrals over General Regions]] |
− | * [[Polar Coordinates]] | + | * [[Polar Coordinates]] |
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− | |Week | + | |Week 11 |
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− | + | 5.4 | |
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− | * [[Multiple Integrals|Double Integrals]] | + | * [[Multiple Integrals|Double Integrals]] |
− | * [[Multiple Integrals|Area by Double Integration]] | + | * [[Multiple Integrals|Area by Double Integration]] |
− | * '''[[Change of Variables]]''' | + | * '''[[Change of Variables]]''' |
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− | |Week | + | |Week 12 |
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− | + | 5.5 | |
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− | * [[Multiple Integrals|Double Integrals in Polar Form]] | + | * [[Multiple Integrals|Double Integrals in Polar Form]] |
− | * [[Multiple Integrals|Triple Integrals in Rectangular Coordinates]] | + | * [[Multiple Integrals|Triple Integrals in Rectangular Coordinates]] |
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− | |Week | + | |Week 13 |
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− | + | 5.6 | |
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− | * [[Multiple Integrals|Double Integral]] | + | * [[Multiple Integrals|Double Integral]] |
− | * [[Multiple Integrals|Triple Integrals]] | + | * [[Multiple Integrals|Triple Integrals]] |
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* Finding Masses, Moments, Centers of Masses, Moments of Inertia in Three Dimensions. | * Finding Masses, Moments, Centers of Masses, Moments of Inertia in Three Dimensions. | ||
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− | |Week | + | |Week 13/14 |
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− | + | 5.7 | |
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− | * [[Multiple Integrals|Double Integral]] | + | * [[Multiple Integrals|Double Integral]] |
− | * [[Multiple Integrals|Triple Integrals]] | + | * [[Multiple Integrals|Triple Integrals]] |
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* Evaluate a triple integral using a change of variables. | * Evaluate a triple integral using a change of variables. | ||
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− | |Week | + | |Week 14 |
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− | + | 6.1 | |
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* [[The Dot Product]] <!-- 2214-12.3 --> | * [[The Dot Product]] <!-- 2214-12.3 --> | ||
− | * [[Directional Derivatives and Gradient Vectors]] | + | * [[Directional Derivatives and Gradient Vectors]] |
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* Vector Fields in a plane. | * Vector Fields in a plane. | ||
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− | |Week | + | |Week 14 |
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− | + | 6.2 | |
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− | * [[Parametric Equations]] | + | * [[Parametric Equations]] |
− | * [[Curves in Space and Vector-Valued Functions]] | + | * [[Curves in Space and Vector-Valued Functions]] |
− | * [[Arc Length]] | + | * [[Arc Length]] |
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− | |Week | + | |Week 14/15 |
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− | + | 6.3 | |
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− | * [[Vector Fields and Line Integrals]] | + | * [[Vector Fields and Line Integrals]] |
− | * [[Partial Derivatives]] | + | * [[Partial Derivatives]] |
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− | |Weeks | + | |Weeks 14/15 |
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− | + | 6.4 | |
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* [[Vector Fields]] | * [[Vector Fields]] | ||
− | * [[Line Integrals]] | + | * [[Line Integrals]] |
− | * [[Partial Derivatives]] | + | * [[Partial Derivatives]] |
− | * [[The Dot Product]] | + | * [[The Dot Product]] |
* [[Line Integrals|Path Independence]] | * [[Line Integrals|Path Independence]] | ||
− | * [[Conservative Vector Fields]] | + | * [[Conservative Vector Fields]] |
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Revision as of 15:17, 31 March 2023
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 |
2.3 |
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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 |
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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Week 11 |
5.4 |
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Week 12 |
5.5 |
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Week 13 |
5.6 |
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Week 13/14 |
5.7 |
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Week 14 |
6.1 |
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Week 14 |
6.2 |
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Week 14/15 |
6.3 |
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Weeks 14/15 |
6.4 |
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