BiolaCatalog2013-2014NA

Mathematics

MATH 410 - Introduction to Real Analysis II Main theorems in integral calculus. Infinite series of numbers and functions. When Offered: Alternate years. Prerequisite(s): 305. Credit(s): 3. MATH 415 - Number Theory and the History of Mathematics The history of mathematics from Euclid through the 19th century as seen by exploring developments in number theory including congruences, Diophantine equations, divisibility, theorems of Fermat and Wilson, primitive roots, indices, quadratic reciprocity and the distribution of prime numbers. When Offered: Fall, odd years. Prerequisite(s): 204. Credit(s): 3. MATH 420 - Modern Geometry Projective geometry, cross ratios theorems of Menelaus, Cevas, Pappus, Desargues and Brianchon. Hyperbolic and elliptic geometries. Differential geometry, curvature, torsion. When Offered: Alternate years. Prerequisite(s): 341. Credit(s): 3. MATH 440 - Complex Variables Complex variables, analytic functions, complex integral theorems, power series, conformal mappings. When Offered: Alternate years. Prerequisite(s): 205 or consent. Credit(s): 3. MATH 450 - Abstract Algebra II Topics from groups, ring and fields. Galois theory. When Offered: Alternate years. Prerequisite(s): 315. Credit(s): 3. MATH 480 - Research Seminar Special studies in mathematics. Restriction(s): Must be Senior class. Note(s): May be repeated for credit. Credit(s): 1 - 3.

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