MATH 256 - Elementary Number Theory

3 units (fi 6)(FIRST, 3-0-0)

Divisibility, prime numbers, congruences, quadratic residues, quadratic reciprocity, arithmetic functions and diophantine equations; sums of squares. Prerequisites: MATH 125 or MATH 127. Note: Credit can be obtained in at most one of MATH 256 and MATH 324.

MATH 311 - Theory of Functions of a Complex Variable

3 units (fi 6)(EITHER, 3-0-0)

Complex numbers. Complex series. Functions of a complex variable. Cauchy's theorem and contour integration. Residue Theorem and its applications. Corequisite: MATH 215 or MATH 315 or MATH 317 or MA PH 351. Note: This course may not be taken for credit if credit has already been obtained in MATH 309 or 411.