MAT 275 – Spring 2009
Modern Differential
Equations
Labs and Handouts
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Rate of Change
Framework: Rate of change is the foundational concept for building
models using differential equations and interpreting their solutions.
Error Analyses for the Euler and Runge-Kutta Methods: This covers the main ideas about bounding errors using the Euler and Runge-Kutta methods, a proof for the bound for the Euler method, adaptive step sizes, the relationships between local error, cumulative error and roundoff error, and the geometric interpretation of the Runge-Kutta method. Lab 1: Slope Fields. You will also need to save dfield7.m in your MATLAB "Current Directory" in order to use it. Lab 2: The Euler and Runge-Kutta methods. You will need to save euler.m, impeuler.m, and rk.m in your MATLAB "Current Directory" in order to use them. Lab 3: Second order ODEs (linear and nonlinear). Lab 4: Exploration of Linear Systems Lab 5: Exploration of Nonlinear Systems |
 Image Credit: Dan Copsey
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