EXAMPLES AND ACTIVITIES FOR CALCULUS

EXAMPLES AND ACTIVITIES FOR MATHEMATICS STUDENTS
		Course	Concept
Calculator Tips	Instructions	Any
Logic	Logic review	Calculus I	Review the logic needed to understand calculus theorems and definitions
Functions	Calculator Activity	Precalculus, Calculus I	Compare logarithmic, linear, quadratic, and exponential functions
Hemiplane I	Dr. Zee Example	Calculus I	Rates of change, derivatives, chain rule
The Message	Dr. Zee Activity	Calculus I	Derivatives and slopes
The Railroad	Activity	Calculus I	Matching slopes to design a railroad
Hemiplane II	Dr. Zee Example	Calculus I	Differentials
Functions & Derivatives	Calculator Activity	Calculus I	Compare graphs of functions and their derivatives
The Plastizon	Dr. Zee Example	Calculus I	Related rates
The Corral	Dr. Zee Example	Calculus I	First derivative test for maxima/minima problems
Extrema	Calculator activity	Calculus I	Use the second derivative test to find and identify extrema
The Missionary	Activity	Calculus I	Minimizing a function
Trapezoidal/Simpson's rule	Formulas	Calculus I, II	Calculator and hand formulas for numerical integration
Omega Trek	Dr. Zee Example	Calculus I	Antiderivatives, velocity, acceleration
Riemann sums	Calculator Activity	Calculus I	Calculating Riemann sums to approximate integrals.
Alpolococci	Dr. Zee Example	Calculus II	Population model
Flatland	Dr. Zee Example	Calculus II	Centroid using single integrals
The Diet Drink	Dr. Zee Example	Calculus II	Work application of integrals
Calculator Exercises	Calculator Activities	CalculusII	Calculator problems: solving equations, graphing, max-min, integrals
Series	Calculator Activity	Calculus III	Convergent and divergent series
Advanced series	Computer Activity	Calculus III	Advanced series with numerical rounding problems
Approximation	Example	Calculus III	Taylor approximations
Parametric	Example/Activity	Calculus III	Parametric equations
Dr. Zee and the Black Lagoon	Dr. Zee Example	Calculus IV	Gradient
Martian Canals	Dr. Zee Example	Calculus IV	Max/min, second derivative test, two variables.
Flatland	Dr. Zee Example	Calculus IV	Centroid using multiple integrals
The Black Point	Dr. Zee Example	Calculus IV	Work, line integrals
The Black Point Concluded	Dr. Zee Example	Calculus IV	Work in conservative vector fields, fundamental theorem of line integrals
The River Trip	Dr. Zee Example	Calculus IV	Application of Double Integrals

EXAMPLES AND ACTIVITIES FOR MATHEMATICS STUDENTS