M365C REAL ANALYSIS I

Prerequisite and degree relevance:

Either consent of Mathematics Advisor, or two of M341, 328K, 325K (Philosophy 313K

may be substituted for M325K), with a grade of at least C.

Students who receive a grade of C in M325K or M328K are advised to take M361K

before attempting M365C.

Course description:

This course is an introduction to Analysis. Analysis together with Algebra and Topology

form the central core of modern mathematics. Beginning with the notion of limit from

calculus and continuing with ideas about convergence and the concept of function that

arose with the description of heat flow using Fourier series, analysis is primarily

concerned with infinite processes, the study of spaces and their geometry where these

processes act and the application of differential and integral to problems that arise in

geometry, pde, physics and probability.