Mathematics 355 - Intro to Analysis
Spring
2016
01
4.00
Yongheng Zhang
MWF 10:00AM-10:50AM; TH 01:00PM-01:50PM
Amherst College
MATH-355-01-1516S
MERR 3; SMUD 204
yzhang@amherst.edu
Completeness of the real numbers; topology of n-space including the Bolzano-Weierstrass and Heine-Borel theorems; sequences, properties of functions continuous on sets; infinite series, uniform convergence. The course may also study the Gamma function, Stirling’s formula, or Fourier series. Four class hours per week.
Requisite: MATH 211 and prior experience with mathematical proofs (MATH 271 or 272 recommended), or consent of the instructor. Students with a grade of B+ or lower in linear algebra are encouraged to take another 200-level course with proofs before taking MATH 355. Limited of 25 students fall semester. Professor TBA. No limit for spring semester. Professor TBA.