Date	Lesson	Major Concepts	Major or New Tools
	Preliminaries Getting Started	course mechanics	browser laptop classroom WebAssign Excel Maple
	Lesson 1 Declining Prices, Profits and Graphing  Introduction to Maple	graph of a function max/min suits example	Excel: series Maple: diff, solve, plot
	Lesson 2 Price Data and Trendlines	data fitting least squares	Excel: trendline Maple: subs
	Lesson 3 Price Data for Two Markets and Linear Estimation	functions of 2 variables data fitting in 2 variables	Excel: linest Maple: subs
	Lesson 4 Property Appraisal and Linear Estimation	functions of several variables best fits without graphing	Excel: linest Maple: subs
	Lesson 5 Savings Plans and First-Order Finite Differences Maple Worksheet	finite difference equations financial modeling exact solution to difference equations	Excel: series Maple: subs
	Lesson 6 Loans and First Order Finite Differences Maple worksheet	finite difference equations exact solution of a linear difference equation	Excel: series Maple: solve, subs
	Lesson 7 Population Models and Exponential Functions	population modeling differential equations closed-form solutions exponential growth and decay logarithmic axes	Excel: trendline Maple: dsolve
	Lesson 8 Cooling Model and Euler Finite Difference Method Maple worksheet Euler Spreadsheet	physical modeling differential equation as limit of difference equation closed-form solution equilibrium	Excel: series Maple: solve, dsolve
	Lesson 9 Population Models and Numerical Methods Maple worksheet	population models logistic growth closed-form solution equilibrium	Maple: dsolve, DEplot
	Lesson 10 Minimum Cost of a Display Area and Derivatives	optimization (max/min) constraint max/min by differentiation	Excel: series Maple: diff, solve
	Lesson 11 Profit from Two Markets and Partial Derivatives Maple Worksheet	multivariate optimization	Excel: solver Maple: diff, solve Maple: plot3d, contourplot
	Lesson 12 Alcohol Breath Testing and Least Squares Data Fitting	least squares critique of mathematical models	Excel: solver Maple: subs, plot
	Lesson 13 Population Growth: Raleigh and Wake County	population models closed form solutions of differential equations least squares critique of mathematical models	Excel: solver Maple: dsolve
	Lesson 14 Population Growth: The World	population models closed form solutions of differential equations least squares critique of mathematical models	Excel: solver Maple: dsolve