MATH 440 Complex Variables................................................................... 3 Complex variables, analytic functions, complex integral theo- rems, power series, conformal mappings. Prerequisite: 205 or consent. Alternate years. MATH 450 Topics in Abstract Algebra. .................................................. 3 Topics from groups, ring and fields. Galois theory. Prerequisite: 315. Alternate years. MATH 480 Research Seminar................................................................. 1-3 Special studies in mathematics. Prerequisite: senior standing or consent. May be repeated for credit.
variables, special and multivariate distributions. Prerequisites: 112, 205. Alternate years.
MATH 332 Statistics...................................................................................... 3 Estimation: consistency, unbiasedness, maximum likelihood, confidence intervals. Hypothesis-testing; type I and II errors, likelihood ratio tests, test for means and variances; regression and correlation, Chi-square tests, decision theory, nonpara- metric statistics; application of statistical methods. Prerequi- site: 331 or consent. Alternate years. MATH 333 Operations Research.............................................................. 3 Mathematical foundations of model building, optimization, linear programming models, game theoretic models. Prereq- uisites: 105, Computer Science 105. MATH 341 Classical Geometry.................................................................. 3 Theorems of Pythagoras, incenters, circumcenters, circles, Euler line, Fermat center. Compass constructions. Solid geometry. Spherical geometry of arcs. Coordinate geometry. Prerequisite: Consent. Alternate years. MATH 370 Readings in Mathematics..................................................... 1 Reading of material in a special topic. Colloquium participa- tion. Writing and oral presentation of a research paper. Prereq- uisite: Consent of the department. May be repeated for credit. MATH 410 Topics in Advanced Calculus............................................... 3 Implicit function theorems, main theorems in integral calcu- lus. Jacobian transformations, infinite series. Prerequisite: 305. Alternate years. MATH 415 Number Theory & the History of Mathematics............. 3 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. Prerequisite: 112. Alternate years.
MATH 420 Modern Geometry. ................................................................. 3 Projective geometry, cross ratios theorems of Menelaus, Cevas, Pappus, Desargues and Brianchon. Hyperbolic and elliptic geometries. Differential geometry, curvature, torsion. Prerequisite: 341 or consent. Alternate years. MATH 435 Differential Equations. ........................................................... 3 First order differential equations and second order linear equa- tions, series solutions, Laplace transforms, numerical methods, partial differential equations and Fourier series, boundary value problems and Sturm-Liouville theory. Prerequisite: 205, 291 or consent. Alternate years.
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