Mathematics has evolved over the centuries not only by building on the work of past generations, but also through unforeseen discoveries or conjectures that continue to tantalize, bewilder, and engage academics and the public alike. This course, the first in a two-quarter sequence, is a survey of about two dozen problems—some dating back 400 years, but all readily stated and understood—that either remain unsolved or have been settled in fairly recent times. Each of them, aside from presenting its own intrigue, has led to the development of novel mathematical approaches to problem solving. Topics to be discussed include (Google away!): Conway’s Look and Say Sequences, Kepler’s Conjecture, Szilassi’s Polyhedron, the ABC Conjecture, Benford’s Law, Hadamard’s Conjecture, Parrondo’s Paradox, and the Collatz Conjecture. The course should appeal to devotees of mathematical reasoning and those wishing to keep abreast of recent and continuing mathematical developments.
Suggested prerequisites: Some exposure to advanced mathematical methods, particularly those pertaining to number theory and matrix theory.-Tuesday 7:00PM - 10:00PMLocation: UCLAInstructor: Michael MillerMATH X 451.44 | 362773Fee: $453.00
If you’re interested in math at all, I hope you’ll come join the 20+ other students who follow everything that Mike teaches. Once you’ve taken one course from him, you’ll be addicted.