This is an introduction to the rigorous treatment of the foundations of real analysis in one variable. It is based entirely on proofs. Students are expected to know what a mathematical proof is and are also expected to be able to read a proof before taking this class. Topics include: properties of the real number system, sequences, continuous functions, topology of the real line, compactness, derivatives, the Riemann integral, sequences of functions, uniform convergence, infinite series and Fourier series. Additional topics may include: Lebesgue measure and integral on the real line, metric spaces, and analysis on metric spaces. | Prerequisites: A grade of A- or better in (MA-UY 2114 or MA-UY 2514) and (MA-UY 2034 or MA-UY 3044 or MA-UY 3054) and Junior level standing or above. Recommended: MA-UY 2514 Honors Calculus III and MA-UY 3054 Honors Linear Algebra with a grade of B or better.

Mathematics (Undergraduate)
4 credits – 14 Weeks

Sections (Fall 2024)

MA-UY 4644-000 (6839)
09/03/2024 – 12/12/2024 Mon,Wed
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Shatah, Jalal

MA-UY 4644-000 (6840)
09/03/2024 – 12/12/2024 Fri
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by