Chalk toss
Classroom walk
Biking to school
Raising a flag
Library trip
Airplane flight with constant velocity
Projected image
A formula for a piecewise-linear graph: Top-down analysis
Water balloon
Graphical estimation of slope
Slope with rulers
Examining linear velocity
Given velocity graph, sketch distance graph
Function-derivative pairs
More airplane travel
Dallas to Houston
Water tank problem
Tax rates and concavity
Testing braking performance
The start-up firm
Graphical composition
The leaky balloon
Inverse function from graphs
Introduction to functions
Postage
What's continuity?
Limits and continuity from a graph
Slopes and difference quotients
Sequences
Can we fool Newton?
Linear approximation
Estimating cost
Finite differences
Using the derivative
Gotcha
Animal growth rates
The product fund
Exchange rates and the quotient rule
Using the product rule to get the chain rule
Magnification
Time and speed
Oil flow
Can the car stop in time?
Fundamental theorem of calculus
Comparing integrals and series
Graphical integration
How big can an integral be?
Numerical integration
Verifying the parabolic rule
Finding the average rate of inflation
Cellular phones
The shorter path
The River Sine
Ferris wheel
Why mathematicians use e^x
Exponential differences
Inverse functions and derivatives
Fitting exponential curves
Log-log plots
Using scales
Direction fields
Using direction fields
Drawing solution curves
The hot potato
Spread of a rumor: discrete logistic growth
Population
Save the perch
Convergence
Investigating series
Space station
Decimal of fortune
Approximating functions with polynomials
Introduction to power series
Graphs of polynomial approximations
Taylor series
Approximating logs
Using series to find indeterminate limits
Using power series to solve a differential equation
Second derivative test
Pade approximation
Using Taylor polynomials to approximate integrals
Complex power series
Designing a roller coaster
Tidal flows
Designing a cruise control
Designing a detector
Taxes
Water evaporation
Mutual funds
Rescuing a satellite
Spread of a disease
Tax assessment
Dome support in a sports stadium
The fish pond
Drug dosage
Investigating series
Topographical maps
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This page maintained by: D. Schwartz, Ithaca College
schwartz@ithaca.edu
Last Modified: January 8, 2000