Applications of Calculus to Medicine and Biology ( Math 4 )
This course will establish the relevance of calculus to medicine and
biology. In it we will develop various mathematical tools extending the
techniques of introductory calculus with a particular emphasis on the on
tools needed for
solving and understanding ordinary differential equations.
These tools will be used to construct and explore simple and elegant
models of variety of biological phenomena including the spread of an
epidemic and the growth of a population. This
exploration will include the examination of articles found in
the current biology research literature and ample computer
simulations of the models that we run into.
At the heart of this course will
be your own exploration
of the concepts and tools introduced.
Below we see the simulation of a
model describing an epidemic that arose in the paper Allometry and Simple
Epidemic Models for Microparasites by G. A. De Leo and A. P. Dodson that