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