Math 114
CALCULUS II
We will begin with a short discussion of ordinary differential
equations, and look at some applications, such as predator-prey
systems. This will be partly a review of material from Math
104. Then we introduce the geometrical tools for higher
dimensional geometry, such as vectors, dot products, and cross
products. This will be handy for dealing with functions of
several variables, for which we introduce partial derivatives,
and learn how to solve maximation/minimization problems,
possibly under constraints (Lagrange multipliers). In the last
part of the course, we study double and triple integrals, as
well as line integrals, which will lead to Green's theorem. All
of this material is essential for many applications, for
example, in physics.
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