## 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