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# Category Archives: Lecture Notes

## Smale’s horseshoe

Smale’s horseshoe, one of absolutely central notions of the modern theory of dynamical systems, was invented by Stephen Smale in 1960 in Rio de Janeiro, while Dr. Smale was receiving support from the National Science Foundation (NSF) of the United … Continue reading

Posted in History, Lecture Notes, Math 760: ODE I, Math Club, NDSU
Tagged chaos, dynamical systems, History, Math Club, teaching
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## Lecture Notes

I put together in one file the lecture notes I have written for my courses, here they are: Undergraduate ODE Graduate ODE I Dynamical Systems and Models in Biology Mathematics of Networks (Unfinished)

## Updates on teaching

A second part of the lecture notes on my graduate course in ODE can be found here: https://www.ndsu.edu/pubweb/~novozhil/Teaching/math760.html Updated lecture notes on mathematical models in biology appear here: https://www.ndsu.edu/pubweb/~novozhil/Teaching/math484.html

## Graduate differential equations I at NDSU this Fall

This Fall I will be teaching, among other courses, an introductory graduate course on Ordinary Differential Equations. This is actually one of my favorite courses, which, among other things, shows how actually mathematics is being developed, contrary to more abstract … Continue reading

Posted in Lecture Notes, Math 760: ODE I, NDSU, Teaching
Tagged Differential equations, Math 760: ODE I, NDSU, teaching
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