The course enrolled 32 students, of whom 26 were in their first or second year. Many were math concentrators
... or planning to be.
The first few weeks of the course surveyed pre-Eulerian mathematics from Cardano, Fermat, Newton, Leibniz, and the
Bernoullis. With the stage set, we then plunged into Euler's work, sampling from his contributions to number theory,
elementary functions, infinite series, differential and integral calculus, analytic number theory, algebra, geometry,
and discrete mathematics.
Over the semester, the students saw a host of proofs and counterexamples, and they were asked to produce their
own on the ten assignments and four projects. There was also a midterm and a
comprehensive final exam.
