MATH 302(S) Complex Analysis (Q)
The calculus of complex-valued functions turns out to have unexpected simplicity and power. As an example of simplicity, every complex-differentiable function is automatically infinitely differentiable. As examples of power, the so-
called "residue calculus" permits the computation of "impossible" integrals, and
"conformal mapping" reduces physical problems on very general domains to
problems on the round disc. The easiest proof of the Fundamental Theorem of
Algebra, not to mention the first proof of the Prime Number Theorem, used
complex analysis.
Format: lecture. Evaluation will be based primarily on homework, classwork,
and exams.
Prerequisites: Mathematics 301 or 305. No enrollment limit (expected: 10).