This site is based on a class at of Math 609 (Advanced Calculus II) at Texas A&M University. The materials are publically available for non-commercial use. In particular, they are not to be shared on for profit sites such as 'Course Hero'.
The lecture materials shared here are not at the carefully edited and revised level of a textbook and should not be viewed as such. I am grateful to anyone who points out errors of a typographical or mathematical nature. The class loosely followed the textbook "Numerical Analysis: Mathematics of Scientific Computing" by Kincaid and Cheney.
A proof that the Runge phenomenon occurs in one situation can be found here.