These notes of a calculus III lecture given by Eugene Trubowitz in the
third semester at ETHZ (this is in the second year of the undergraduate studies)
covered the topic of the Riemann Zeta function.
As with the other course for the first two years, the course was mandatory
which means for example that it was impossible to take an alterative or similar
course instead. Also, as with most courses, there was no book, we had to digest
the lectures or die. I found it actually quite effective to learn things from
good lectures without being distracted with reading too much from different
sources. It kept me focussed.
The lecture starts with a discussion of entire functions,
mentions the formula of Euler (now often called "the golden key"), proves the functional equation for
the Riemann Zeta function and ends with the Rieman hypothesis.
At that time, I color-coded my handwritten lecture notes as follows:
blue: questions, red: definitions, yellow: results, orange: important formulas.
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