Calculus Animations,Graphics and Lecture Notes
Vector Valued Functions
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.
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 lineL1: x = 7+ t y = -13 + 2t z = 8 - 2 tand contains the point (-5,4,2)
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
For a discussion and animations of flow fields and orthognal trajectories go to the differential equations page
Flow Fields and Orthognal Trajectories
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