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Brenda Edmonds

Calculus 3: Vector-Valued Functions and Curves in Space

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Last updated on Feb 11, 2020
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Introduction to Vector-Valued Functions
8:44
Vector-Valued Functions Examples: Input, Output, Domain
11:21
Vector-Valued Functions: Graphs of Space Curves
9:07
Space Curve Helix Example
22:45
Sketching a Helix by Hand
16:05
Use CalcPlot3D to Compare Graphs of Space Curves
12:26
Compare Motion along Two Related Space Curves
6:24
Definition of Limit of Vector Valued Functions
12:09
Limit of a Vector-Valued Function Example
7:59
Definition of Continuity for Vector-Valued Functions
9:04
Derivatives of Vector-Valued Functions
6:12
Interpreting the Derivative of a Vector-Valued Function
8:29
Graphing a Space Curve with Position, Velocity, and Acceleration Vectors
11:31
Smoothness and Vector-Valued Functions
12:23
Integral of a Vector-Valued Function
11:11
Arclength Formula for Space Curves
8:37
Arclength of Space Curve Example
10:34
Arclength Parameterizations
15:36
Unit Tangent Vector: Definition and Properties
12:15
Example of Unit Tangent Vector T
10:43
Unit Normal Vector: Definition and Properties
12:19
Example of Unit Normal Vector N
8:31
Unit Binormal Vector B: Definition and Properties
9:13
Example of Unit Binormal Vector
7:28
Curvature of a Space Curve - Definition and Properties
11:47
Curvature Example
19:11
Torsion of a Space Curve - Definition and Properties
11:00
Torsion Example
16:28
Tangential and Normal Components of Acceleration: Main Ideas
15:26
Alternate Formulas for Tangential and Normal Components of Acceleration
12:31
Tangential and Normal Components of Acceleration Example
18:12
Curvature and Torsion Part 1
8:23
Curvature and Torsion Part 2
7:41
Curvature and Torsion Part 3, including Tangential and Normal Components of Acceleration
3:22
Riding a Roller Coaster and Thinking about Vector-Valued Functions
14:27