Correspondence Directory

Majors and Courses of InstructionMathematics and Computer Science250. Discrete Mathematics (Jackson)An introduction to mathematical reasoning and to the kind of mathematics appropriate for thestudy of properties of (possibly large) finite systems. Topics include proof techniques, mathematicalinduction, elementary number theory, combinatorics, relations, and graph theory. Applications willbe made to the construction of models useful in the social and physical sciences and to the study ofalgorithms in computer science. Prerequisite: 111 F.270. Linear Algebra (Jackson)Matrix algebra, finite dimensional vector spaces, linear transformations, determinants, eigenvalues,and applications. Prerequisite: 210 or 250. Recommended: 250. S.280. Differential Equations (Schwartz)Study of first and second-order equations, numerical methods, and first-order systems. Applicationsto problems in the physical, life, and social sciences are emphasized. Computer software is used tosupport the study by providing enhanced symbolic, numerical, and graphing capability. Additionaltopics include certain prerequisites from linear algebra (as needed), and Laplace transforms.Prerequisite: 111. S.310. Mathematical Logic (Nunemacher)(Not offered 2011-2012)A study of the foundations of mathematics and logical reasoning. Topics include propositionalcalculus, predicate calculus, properties of formal systems, completeness and compactness theorems,Godel’s Incompleteness Theorem, and axiomatic set theory. Some attention will be given to relatedphilosophical issues. Prerequisite: 250. Also listed as PHIL 371.320. Geometry (Jackson)(Not offered 2011-2012)An introduction to the study of geometry, both ancient and modern. Topics will be chosen fromEuclidean, affine, projective, elliptic, and hyperbolic geometries. Some time will be spent onaxiomatics and the history of geometry. Tools such as matrices and groups will be developed as theyare needed for the study of geometric problems. Prerequisite: 250. F.330. Complex Variables (Nunemacher)(Not offered 2011-2012)A study of analytic functions, power series, complex integration, conformal mapping, and thecalculus of residues with applications to physical science. Prerequisite: 210 and one coursenumbered 250 or above.335. Vector Analysis and Geometry (Nunemacher)(Not offered 2011-2012)Advanced calculus of functions of more than one variable. Topics include the geometry of Euclideanspace, vector fields, line and surface integrals, curvature and differential geometry. Prerequisite: 210.340. Analysis I (Schwartz)(Not offered 2011-2012)Rigorous development of the topology of the real line, theory of metric spaces, and the foundationsof calculus. Attention is given to constructing formal proofs. Prerequisite: 210 and 250.Recommended: 270. F.178