Calculus
Mathematics and Modeling with Maple
Daniel D. Warner
Fall 2000
Modeling Change
Drugs in the Body
Novocaine Example
Amoxicillin Example
Exercise 17
Patterns of Accumulation
Summation.
Amoxicillin Example Revisited.
Piecewise Functions.
Exercise 17 Revisited
A Model for Natural Growth
The Rumor Example
The Yeast Example
A Chaotic Population
Investigating Limits
Limits from Closed Form
Rest Points and Limit Points
Proving a Limit
Continuous and Piecewise Continuous Models
Painless Dentistry
Amoxicillin Revisited
Sine-based Sequence
Continuous Yeast Model
Measuring change
Analyzing a Discrete Function
Richer or Broker
Constructing Models from Patterns
Sun Microsystem's Revenues
Bouncing Golf Ball
Divided Differences and Average Rate of Change
Ponderosa Pines
Daring Turnpike Drive
Secant line
Secant Movie
Average Rate of Change and Selected Exercises
Rate of Change
Surfing in Bombay
Bombay Secant Movie
Tangent Line
Rate of Change as a Function
Plotting Slopes
Average Rate of Change and Selected Exercises
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