Nov 23, 2025  
Rensselaer Catalog 2025-2026 
    
Rensselaer Catalog 2025-2026

MATH 4090 - Foundation of Analysis


The course provides an opportunity for the development of theorem-proving skills in the field of mathematical analysis.  Expansion of a knowledge base comes as a by-product of energy expended in theorem proving and subsequent exposition.  Analysis topics included are: sets, functions, the real numbers, cardinality, induction, decimal representations of real numbers, Euclidean spaces, abstract vector spaces, and metric spaces. This is a communication-intensive course.

Prerequisite: MATH 2010  ; and also must be a declared mathematics major.

When Offered: OFFERED YEARLY

Graded: GRADED

Credit Hours: 4