Math 240
CALCULUS III
We will investigate special tools in the Calculus in
higher dimensions, starting with the basic language and
methods of linear algebra, then proceeding to multiple
integrals and integrals along curves which allows us to
state and use the Green, Stokes and Divergence
theorems. Finally, we will learn about special functions,
and the theory of ordinary differential equations, and the
theory of linear differential equations, in particular
systems. In fact, differential equations shall occupy us
throughout the course, as they present one of the main
applications of Calculus to the natural sciences.
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