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