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Course Criteria
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3.00 - 4.00 Credits
Least square principles in multiple regression and their interpretations; estimation, hypotheses testing, confidence and prediction intervals, modeling, regression diagnostic, multicollinearity, model selection, analysis of variance and covariance; logistic regression. Introduction to topics in time series analysis such as ARMA, ARCH, and GARCH models. Applications to natural sciences, finance and economics. Use of computer packages. Prerequisite: MATH 12 or 231. (MA)
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3.00 Credits
Algorithms for searching, sorting, counting, graph and tree manipulation, matrix multiplication, scheduling, pattern matching and fast Fourier transforms. Abstract complexity measures and the intrinsic complexity of algorithms and problems in terms of asymptotic behavior; correctness of algorithms. Prerequisites: MATH 22 and MATH 261, or consent of the department chairperson. (MA)
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3.00 Credits
Mathematical modeling of engineering and physical systems with examples drawn from diverse disciplines. Emphasis is on building models of real world problems rather than learning mathematical techniques. Prerequisite: MATH 205. (MA)
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3.00 - 4.00 Credits
A survey of elementary and nonelementary algebraic and analytic methods in the theory of numbers. Includes the Euclidean algorithm, Diophantine equations congruences, quadratic residues, primitive roots, number-theoretic functions as well as one or more of the following topics: distribution of primes, Pell's equation, Fermat's theorem, partitions. Prerequisite: MATH 301 or consent of the department chair. (MA)
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3.00 - 4.00 Credits
Classical elementary cryptography: Caesar cipher, other substitution ciphers, block ciphers, general linear ciphers. Fast random encryption (DES and AES: Advanced Encryption Standard). Public key systems (RSA and discrete logs). Congruences, modular arithmetic, fast exponentiation, polynomials, matrices. Distinction between polynomial time (primality), Subexponential time (factoring) and fully Exponential computation (elliptic curves). Introduction to sieving and distributed computation. Prerequisite: Permission of instructor. (MA)
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3.00 Credits
A course covering special topics not sufficiently covered in listed courses. Prerequisite: consent of the department chair. May be repeated for credit. (MA)
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1.00 - 3.00 Credits
The study of a topic in mathematics under appropriate supervision, designed for the individual student who has studied extensively and whose interests lie in areas not covered in the listed courses. Prerequisite: consent of the department chair. May be repeated for credit (MA)
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3.00 Credits
Supervised field project or independent reading in statistics or probability. Prerequisite: consent of the department chair. (MA)
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3.00 Credits
Independent research under faculty supervision, culminating in a thesis presented for departmental honors. May be repeated once for credit. Prerequisite: consent of chair (MA)
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3.00 Credits
Matrices, vectors, vector spaces and mathematical systems, special kinds of matrices, elementary matrix transformations, systems of linear equations, convex sets, introduction to linear programming. (MA). Students may not receive credit for both MATH 61 & 43.
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