##
**Maple** examples for MA 164

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.