CONICS, PARAMETRIC EQUATIONS, POLAR FUNCTIONS, & VECTORS
Conics
and Calculus
Plane Curves and Parametric Equations
What is a parameter?
Discussion & visualization
of parametric functions
Graphing
parametric functions (an applet)
Property of Cycloid
with applet
Visualizing cycloids
Visualizing cycloids
Cycloid
applet
Another place to visualize a cycloid
Working with cycloids
Information about the cycloid
Parametric Equations
and
Calculus
Finding
tangent lines
to parametric functions
Polar Coordinates & Polar Graphs
Finding
tangent lines
to polar curves
Area and Arc Length in Polar Coordinates
A
polar area
problem
Another
polar area
problem
An even harder polar area problem:
outer area
traced,
inner
area traced
Vectors in the Plane
Review problems
on vector calculus--Go to
Calculus Book III
and choose any topic
Dot Products
Vector-Valued Functions
Velocity and Acceleration
Tangent Vectors and Normal Vectors
Arc Length and Curvature
Miscellaneous
Trace
out an epicycloid
Trace
out a hypocycloid
Go to
Calculus Lessons Page
Go to
Calculus Page