Images courtesy of Wikipedia: Cantor's diagonal argument (left); the limsup and liminf of a sequence (middle); and convergence of Riemann sums to a Riemann integral (right)
This is a first-semester introduction to mathematical analysis, where we build the foundations of calculus from the ground up. In the meantime we will introduce concepts and tools which are indispensable to the working mathematician, pure or applied. Everything will be proof-based (see this for an example), so it is important that you (the potential student) be capable of reading and writing mathematical proofs.
Good mathematical maturity, as demonstrated by 1) familiarity with mathematical proof writing (such as a B grade or above in MATH 2710) and 2) a solid foundation in the entire calculus sequence (MATH 2110, MATH 2130, or equivalent).
Before the first class on January 20, 2016, all registration will take place strictly on Student Admin and on the math department waiting list. Do not ask the instructor for permission numbers. They will not be granted before the first class.
Anyone who wishes to enroll in this section, but is unable to register on Student Admin by January 19, must attend the first lecture on January 20, 2016. There is no guarantee that everyone who attends will receive a permission number. However, if you do not attend the first lecture, then you forfeit your chance of being considered for an opening.
If there are more students than openings available, priority for admission will be determined by grades in previous math courses, espeically in proof-based courses (such as MATH 2710).
It is very unlikely that I will accept additional students beyond the enrollment cap (25). This is done to ensure the quality of instruction.