2018-2020 Undergraduate and Graduate Bulletin (with addenda) 
    
    Mar 28, 2024  
2018-2020 Undergraduate and Graduate Bulletin (with addenda) [ARCHIVED CATALOG]

MA-UY 4644 Honors Analysis I

4 Credits
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. | Offered in the fall.

Prerequisite(s): A grade of B or better in (MA-UY 2114  or MA-UY 2514 ) and (MA-UY 3044  or MA-UY 3054  or MA-UY 3034  or MA-UY 3113 )
Also listed under: MATH-UA 328
Weekly Lecture Hours: 4