Course Catalog

MATH 310 Modern Algebra

Reviews set theory; groups and group homomorphism; rings and ring homomorphisms and examples; Euclidean division algorithm; prime factorization and Chinese remainder theorem with applications to cryptography; Peano's postulates, leading to a description of the integer, rational, real, and complex number systems; Fermat's Little Theorem; Euler phi function; and linear and quadratic residues.




Required:Math 210 and 211