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@@ -12,7 +12,9 @@ $$ f(z) = \sum_{n = 0}^{\infty} c_n z^n = c_0 + c_1 z + c_2 z^2 + \cdots $$
The reason we discussed convergence of Fourier series was to give some taste for the type of mathematical analysis that goes in to proving things rigorously using Fourier series.
-The reason we discussed the Heat and Wave equations was to illustrate other examples of the methods we used to prove Theorems 1 and 2. So, if you only care about holomorphic functions you don't need to worry about those examples.
+The reason we discussed the Heat and Wave equations was to illustrate other examples of the methods we used to prove Theorems 1 and 2.
+
+So, if you only care about holomorphic functions you don't need to worry about those two parts of the lecture.
## Alternate Proofs