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Vector Valued Functions

Vector Valued Functions. Section 1. Written by Richard Gill Associate Professor of Mathematics Tidewater Community College: Norfolk Campus. Example 1: Sketch the curve represented by. Solution: If x = cost and y = 3sint then. This will be a vertical ellipse centered at the origin.

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Vector Valued Functions

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  1. Vector Valued Functions Section 1 Written by Richard Gill Associate Professor of Mathematics Tidewater Community College: Norfolk Campus

  2. Example 1: Sketch the curve represented by Solution: If x = cost and y = 3sint then This will be a vertical ellipse centered at the origin.

  3. Example 2: Sketch the curve represented by Solution: Begin with a table.

  4. Example 3: Sketch the space curve represented by the intersection of the surfaces and Then represent the curve by a vector valued function using the parameter x = 2sin(t). Solution: The first surface can be represented as: The intersection as: The second as:

  5. Example 3: Sketch the space curve represented by the intersection of the surfaces and Then represent the curve by a vector valued function using the parameter x = 2sin(t). Solution Continued:

  6. http://www.youtube.com/user/EducatorVids?v=-WZ6psE6qwo&feature=pyv&ad=8642525948&kw=parametrichttp://www.youtube.com/user/EducatorVids?v=-WZ6psE6qwo&feature=pyv&ad=8642525948&kw=parametric You Tube Video on Parametric Equations The link below takes you to a site constructed by Paul Dawkins of Lamar University. As the course progresses we would like to know whether the links that we provide are helpful. By the same token, if you find links on your own that you find helpful please share them with the class. http://tutorial.math.lamar.edu/Classes/CalcIII/VectorFunctions.aspx#ThreeD_VecFcn_Ex2b

  7. For comments on this presentation you may email the author Professor Richard Gill at rgill@tcc.edu or the publisher to the VML at jarnold@tcc.edu

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