295 LINEAR ALGEBRA (3) Topics from matrices, determinants, linear transformations, and vector spaces. Prerequisite: 106 or consent . 296 DIFFERENTIAL EQUATIONS (3) Linear differential equations, power series solutions of differential equations, systems of differential equations, Laplace transforms and numerical methods. Prerequisites: 205, 295. 300 DATA STRUCTURES (3) Linear lists, strings, arrays and orthogonal lists; graphs, trees, binary trees, multilinked structures, searching and sorting techniques, dynamic storage allocation; applications. Prerequisite: 202. Fee: $15.00. 305 ADVANCED CALCULUS (3) The real number system, elementary topological concepts in Cartesian spaces, convergence, continuity, derivatives and integrals. Prerequisites: 205, 296. 315 MODERN ALGEBRA (3) Introduction to abstract algebra with topics from elementary ring, field and group theories. Emphasis on ring of integers, congruences, polynomial domains, permutation groups. Prerequisite: 295 or consent. 321 NUMERICAL ANALYSIS (3) Functions of one variable, approximate numerical solutions of non-linear equations and systems of linear equations, interpolation theory, numerical differentiation and integration, numerical solutions of ordinary differential equations. Prerequisites : 205, 295. Fee $10.00. 331 PROBABILITY (3) Sample spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes' Theorem, one and higher dimensional random variables, discrete and continuous random variables, special and multivariate distributions. Prerequisite: 205 or consent. 332 STATISTICS (3) Estimation: consistency unbiasedness, maximum likelihood, confidence intervals. Testing hypothesis: Type I and II errors, likelihood ratio tests, test for means and variances; regression and correlation, Chi-square tests, decision theory, nonparametric statistics; application of statistical methods. Prerequisite: 205 or consent. 333 OPERATIONS RESEARCH (3) Mathematical foundations of model building, optimization, linear programming models, game theoretic models. Prerequisites: 205 and 295. Fee: $10.00 341 MANAGEMENT INFORMATION SYSTEMS (3) Information systems, their design, implementation, and contribution to management planning, decision making,
Theory of Computation. An introduction to the formal theory of computation, concepts of decidability, the halting problem, algorithms, procedures and the theoretical foundations of computer science. 410 STUDIES IN ADVANCED MATHEMATICS (3) One section offered each year upon sufficient demand. Course may be repeated with different content (section title). Topics in Advanced Calculus. Implicit function theorems, main theorems in integral calculus. Jacobian transformations, infinite series. Prerequisite: 305. Number Theory . Congruences, Diophantine equations, divisibility, theorems of Fermat and Wilson, primitive roots, indices, quadratic reciprocity. Prerequisite: 205 or 295. Topology. Topics from elementary point set topology. Prerequisite: 305 or consent. 420 STUDIES IN HIGHER GEOMETRIES (3) One section offered each year upon sufficient demand . Course may be repeated with different content (section title). Fundamental Concepts of Geometry. Various axiom systems for Euclidean and non-Euclidean geometry. Prerequisite: 205. Modern Geometry. Homogeneous projective coordinates, invariants, duality, Desargues's and Pappus's theorems, transformations, point and line conics. Prerequisites: 205, 295. Differential Geometry. General curve theory, surfaces in the three-dimensional space, fundamental quadratic forms of a surface; the intrinsic geometry of surfaces, extrinsic properties of surfaces. Prerequisites: 205, 295. 430 STUDIES RELATED TO APPLIED MATHEMATICS (3) One section offered each year upon sufficient demand. Course may be repeated with different content (section ti tie). Complex Variables. Complex variables , analytic functions, complex integral theorems, power series, conformal mappings . Prerequisite: 205. Mathematics for the Physical Sciences. First order differential equations and second order linear equations, series solutions, Laplace transforms, numerical methods, partial differential equations and Fourier series, boundary value problems and Sturm-Liouville theory. Prerequisite: 296. Topics in Numerical Analysis. Approximate numerical solutions to partial differential equations, finite difference methods, numerical computations of eigenvectors, error analysis. Prerequisite: 321. Fee $10.00. 440 ELEMENTARY INFERENCE IN BUSINESS STATISTICS (3) Application of statistical inference to business situations; sampling distribution, theory of estimation and tests of hypothesis, linear hypothesis theory, decision theory, regression and correlation, experimental design and non parametric statistics. Prerequisites: 103 and 210 (Business 320). 480 RESEARCH SEMINAR (1-3) Special studies in mathematics. Prerequisite: senior standing or consent .
and control. Prerequisites: 103, or 105, 200. 400 STUDIES IN COMPUTER SCIENCE (3)
One section offered each year upon sufficient demand. Course may be repeated with different content (section title). Prerequisite: 202. Fee $15.00. Discrete Structures. Logical and algebraic structures, combinatorial mathematics, graph theory. Theory of Alogrithms. analytic techniques for the determination of algorithmic efficiency. NP - complete problems, complexity hierarchies, provably intractable problems.
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