## Maple examples for MA 166

Lab 1 - Integrating with Maple

· __Part 1__
( **.htp** , **.mws**) In this
exercise we learn how to plot, differentiate, and integrate functions using *Maple*.

· __Part 2__
( **.htp** , **.mws**) This is
Example 8, p.412. It shows how to combine Calculus and CAS for problem solving
.

· __Part 3__
( **.htp** , **.mws**) Here we show
numerical integration on* Maple* and partial fraction decomposition.

Lab 2 - More integrals with Maple

· __Part 1__
( **.htp** , **.mws**) In this
exercise we learn how to integrate improper integrals - infinite intervals
case.

· __Part 2__
( **.htp** , **.mws**) Here we
consider improper integrals - infinite discontinuity case.

· __Part 3__
( **.htp** , **.mws**) Here we draw
a map of the Lone Star State and find its area.

Lab 3 - Differential Equations with Maple

· __Part 1__
( **.htp** , **.mws**) In this
exercise we learn how to use Maple to solve differential equation, plot their
solutions, and plot dirrectional fields.

· __Part 2__
( **.htp** , **.mws**) In this
exercise we learn how to use Maple to solve numerically differential equations,
using Euler's method.

Lab 4 - Population Growth Models and Lotka-Volterra
Systems

· __Part 1__
( **.htp** , **.mws**) Logistic
equation and a Harvesting model.

· __Part 2__
( **.htp** , **.mws**)
Lotka-Volterra equations to model Predator-Prey systems.

· __Part 3__
( **.htp** , **.mws**) More Phase
Portraits.

Lab 5 - Sequences and Series

· __Part 1__
( **.htp** , **.mws**) Sequences
and series using Maple.

· __Part 2__
( **.htp** , **.mws**) Convergence
of series and error estimates.

· __Part 3__
( **.htp** , **.mws**) Taylor
polynomials.

Project 2 Maple file **.mws**