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This course allows you to understand the issues and methods of the theory of ordinary differential equations.
Objectives:
definitions of equation and system of ordinary differential equations, local solution, maximum solution;
complete resolution in the case of linear systems with constant coefficients;
main results of existence and uniqueness of solutions;
autonomous equations, basic notions of qualitative study, equilibrium and stationary solutions, stability, Lyapunov function;
numerical methods for approximating solutions, in particular the Euler and midpoint methods, order, stability and convergence.
Schedule: 24 hours of CM + 36 hours of TD per semester (2 hrs CM + 3hrs TD per week)
Assessment Style:Â
Smith Students say...
What did you gain from this course?
"I learned about how to work with manipulating, studying, and resolving differential equations, and the beginnings of a look into the different applied situations where differential equations come into use."
Did the professor welcome exchange students in the course?
"No."
What do you wish you'd known before taking the course?
"I hadn't worked much with linear algebra since my first year at Smith, so I had to do some brushing up at the beginning of the semester. I think having a good basis in linear algebra is important for this course.
Most equivalent to MTH 264de Topics in Applied Math-Differential Equations"
To whom would you recommend this course?
"I would recommend this course to a mathematics student who enjoys working with linear algebra, studying/solving equations, and graphical representations of equations. I think it would be good for somebody who eventually wants to go into more applied math, especially in the other sciences."
JYA student 2023-2024
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