
Vector Functions

Limits and Continuity
 Introducing vector functions. Definition of Limit and
continuity.

Derivatives
 The derivative of a vector function. Maple tricks.

Kinematics with vector Calculus.
 Projectile motion with vectors.

Your plane was hit by a shell from the ground...
 Where are they firing from? (Projectile problem)

Unit Tangent, Unit Normal
 What they are what they mean and howto with maple.

Arc length and curvature
 Definitions, formulas and the very useful
maple proc curvature is here...

Formulas for plane curves
 When the vector function stays on a plane the formulas
simplify and when y=f(x) the calc1 results are recovered.

Tangent vector and curvature
 Again... but now with 'gif' formulas... Examples
for the circle, ellipses.

Normal, Twist and Binormal
 The tangent the normal and the binormal define a
turning twisting frame at each point...

Tangential and Normal components of acceleration
 They are useful in mechanics.

The infamous cycloid
 Definition, the length of one arch and the area under it... it uses MathML.
