pure math

modern algebra and real analysis hold a special place within the mathematics curriculum. Between them, these courses encode the bulk of the language and methodology that was discovered and developed in the 19th century. They are the gateway to almost all of modern mathematics. Most careers for mathematics majors need little more mathematics than linear algebra, statistics, perhaps some differential equations, but to be a mathematician with a broad understanding of the field and a recognition of where the powerful tools lie, one must be conversant with both modern algebra and analysis. These courses must be available to mathematics majors, and those with the potential to pursue doctoral-level work in the mathematical sciences should be advised to take them. Undergraduate programs that do not offer modern algebra or real analysis effectively close out the possibility of pursuing graduate work in theoretical as well as many applied fields of mathematics