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MATH 263: Numerical differential equations.
1: Direction fields.
2: Euler’s method.
3: Error analysis.
4: Runge–Kutta methods.
5: Multistep methods.
6: Predictor–corrector methods.
7: Systems of first order ODEs.
8: Higher order initial value problems.
Physical example: Simple gravity pendulum
9: Adaptive methods.
10: Boundary value problems and the shooting method.
11: Finite difference methods for boundary value problems.
12: Stiffness.
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