Calculus Animations,Graphics and Lecture Notes

Vector Valued Functions

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Vector Valued Functions Position,Velocity, and Acceleration

Lecture Notes - Position

Vector Circle

Vector Helix

Vector Parabaloid

Notes - Velocity and Acceleration

Velocity

For a more detailed description of velocity and acceleration see the page on

 Unit Tangents/Unit Normals.

Unit Tangents/Unit Normals

Lines in 2 space

Notes - Lines in 2space

x= 2 + 3t y = 3 - 2t

x = -1 + 8t y = -3 + 5 t

Example 3

Lines in 3 Space

Notes - Lines in 3 Space

Collision

Intersection No Collision

Skew Lines-No Intersection

Find the equation of the line that is perpindicular to and intersects the line

L1:  x = 7+ t    y = -13 + 2t  z = 8 - 2 t

and contains the point (-5,4,2)

Notes - the Solution

Collision

For a discussion and animations of flow fields and orthognal trajectories go to the differential equations page

Flow Fields and Orthognal Trajectories

Break1.jpg

Learning calculus is an intellectual challenge that takes dedication, to let off some stress look at break.com for some great viral videos.

The Smart Bunny-A very short story by Kurt Vonnegut Jr.

©2008-2010 Kelly Liakos