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Ordinary differential equations (ODE) frequently arise as models of phenomena in the natural and social sciences. This course presents core ideas of ODE from an applied standpoint. Topics covered early in the course include numerical solutions, separation of variables, integrating factors, constant coefficient linear equations, and power series solutions. Later, we focus on nonlinear ODE, for which it is usually impossible to find analytical solutions. Tools from dynamical systems allows us to obtain some information about the behavior of the ODE without explicitly knowing the solution.
Format: lecture; discussion and interactive activities
Grading: no pass/fail option,
yes fifth course option
quizzes/exams, problem sets, activities
MATH 150/151 and MATH 250
discretion of the instructor