DSST 189
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Introduction to Statistical Modeling
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Topics will include exploratory data analysis, correlation, linear and multiple regression, design of experiments, basic probability, the normal distribution, sampling distributions, estimation, hypothesis testing and randomization approach to infere...
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DSST 289
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Introduction to Data Science
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Multiple linear regression, logistic regression, ANOVA and other modeling based topics. Exploratory graphical methods, model selection and model checking techniques will be emphasized with extensive use a statistical programming language (R) for data...
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DSST 389
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Advanced Data Science
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Computational statistics and statistical algorithms for building predictive models from large data sets. Topics include model complexity, hyper-parameter tuning, over- and under-fitting, and the evaluation of predictive performance. Models covered in...
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DSST 390
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Directed Independent Study
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Topics independently pursued under supervision of faculty member.
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DSST 395
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Special Topics in Data Science & Statistics
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Selected topics in data science and statistics.
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MATH 102
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Problem Solving Using Finite Mathematics
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Topics to demonstrate power of mathematical reasoning. Course has two components: (1) introduction to the fundamentals of mathematical proof, and (2) the application of these fundamentals to at least one particular area of mathematics. The area is de...
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MATH 195
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Special Topics
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Special topics satisfying neither major nor minor requirements.
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MATH 211
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Calculus I
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Limits, continuity, derivatives, and integrals. Derivatives of trigonometric, exponential, logarithmic, and inverse trigonometric functions; the derivative as a rate-of-change; linear approximations; Fundamental Theorem of Calculus; applications to t...
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MATH 212
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Calculus II
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Techniques of integration; applications of integration; improper integrals; Taylor's Theorem and applications; infinite series; differential equations; applications to the sciences, social sciences, and economics.
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MATH 235
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Multivariate Calculus
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N-dimensional Euclidean space, functions of several variables, partial derivatives, multiple integrals, line and surface integrals, classical integral theorems, applications.
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MATH 245
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Linear Algebra
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Vector spaces, matrices, systems of linear equations, linear transformations, applications.
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MATH 288
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Mathematics Apprenticeship
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Participation in practical application of mathematics skills, such as statistics, data science, or mathematical modeling, with supervision of mathematics or statistics faculty. Does not count for mathematics major or minor or for mathematical economi...
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MATH 300
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Fundamentals of Abstract Mathematics
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Logic, quantifiers, negations of statements with quantifiers, set theory, induction, counting principles, relations and functions, cardinality. Includes introductory topics from real analysis and abstract algebra. Emphasis on methods of proof and pro...
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MATH 304
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Mathematical Models in Biology and Medicine
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Mathematical models in modern biological and medical applications. Primary focus on practical understanding of the modeling process, and development of requisite modeling skills. Topics include discrete and continuous dynamical systems, including par...
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MATH 306
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Abstract Algebra I
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An introduction to the theory of groups. Topics include subgroups, cyclic groups, permutation groups, homomorphisms, isomorphisms, cosets, Lagrange's Theorem, normal subgroups, and the Fundamental Theorem of Finite Abelian Groups.
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MATH 307
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Abstract Algebra II
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An introduction to the theory of rings and fields. Topics include rings, integral domains, ideals, factor rings, polynomial rings, ring homomorphisms, fields, and extension fields.
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MATH 309
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Financial Mathematics: The Theory of Interest and Investment
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Develops a practical understanding of financial mathematics and interest theory in both discrete and continuous time. This theory includes the fundamentals of how annuity functions are applied to the concepts of present and accumulated value for vari...
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MATH 310
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Advanced Calculus
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Differentiation of vector-valued functions, Jacobians, integration theorems in several variables. Fourier series, partial differential equations.
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MATH 312
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Differential Equations
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Introduction to ordinary differential equations and their use as models of physical systems. Linear and nonlinear equations and systems of equations, including existence and uniqueness theorems, analytical solution techniques, numerical methods, and...
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MATH 315
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Modern Geometry
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Geometry of surfaces in 3-dimensional space. Arc length, Frenet frame, parallel translation and geodesics. Gaussian curvature, constant curvature surfaces, Gauss-Bonnet theorem. Topological classification of compact surfaces.
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MATH 319
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Game Theory
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Mathematical introduction to game theory. Foundational material on rationality and the expected utility theorem; problems for single decision-makers who maximize utility in uncertain circumstances; classical two-person matrix games and Nash equilibri...
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MATH 320
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Real Analysis I
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Topological properties of the real line and Euclidean space. Convergence, continuity, differentiation, integration properties of real-valued functions of real variables.
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MATH 321
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Real Analysis II
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This is a follow-up course to Real Analysis I and is a selection of topics from Lebesgue integration, Lebesgue spaces (completeness, duality), metric spaces, real analysis on Euclidean spaces.
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MATH 328
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Numerical Analysis
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Analysis and implementation of algorithms used in applied mathematics, including root finding, interpolation, approximation of functions, integration, solutions to systems of linear equations. Computer error. (Same as Computer Science 328.)
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MATH 329
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Probability
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Introduction to the theory, methods, and applications of randomness and random processes. Probability concepts, independence, random variables, expectation, discrete and continuous probability distributions, moment-generating functions, simulation, j...
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MATH 330
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Mathematical Statistics
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Introduction to basic principles and procedures for statistical estimation and model fitting. Parameter estimation, likelihood methods, unbiasedness, sufficiency, confidence regions, Bayesian inference, significance testing, likelihood ratio tests, l...
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MATH 331
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Complex Analysis
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Introduction to the calculus of functions of a single complex variable, including series, calculus of residues, and conformal mapping.
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MATH 340
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Directed Independent Study
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For well-qualified students who wish to work independently in areas not included in curriculum. Proposal must be approved by departmental committee.
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MATH 345
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Advanced Linear Algebra
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Abstract vector spaces, inner product spaces, spectral theorem, matrix factorization theorems, Schurs theorems, applications of linear algebra to related fields in mathematics and engineering.
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MATH 350
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Coding Theory
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Error-correcting codes are used to ensure reliable electronic communication in everything from Blue Ray players to deep-space transmission. Cryptographic systems are developed to keep communication secret in everything from e-commerce to military com...
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MATH 358
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Combinatorics
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Introduction to the mathematics of discrete structures and counting techniques. Topics to include inclusion/exclusion; graph theory; linear algebra techniques; finite geometries.
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MATH 388
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Individual Internship
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No Description Set
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MATH 395
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Special Topics
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Selected topics in mathematics.
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MATH 396
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Selected Topics in Mathematics
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Selected topics in mathematics.
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MATH 406
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Summer Undergraduate Research
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Documentation of the work of students who receive summer fellowships to conduct research [or produce a creative arts project] in the summer. The work must take place over a minimum of 6 weeks, the student must engage in the project full-time (at leas...
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