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Course Criteria
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4.00 Credits
PHYS 2230, MATH 2217. (Cross-Listed as PHYS 3352) A computationally intensive course on creating and interpreting mathematical models for nonlinear systems. The computer algebra system, Maple, is centrally used to model nonlinear applications in various disciplines. Topics covered include topological and numerical analysis of oscillators and nonlinear maps. Particular attention is devoted to the period-doubling route to chaos and methods of identifying chaos such as Poincare sections and Fourier power spectra of dynamical systems. Faculty: D. LESSIE 4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Natural Sciences & Mathematics Division Mathematics Department
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1.00 - 4.00 Credits
Independent Study in Mathematics 1.000 TO 4.000 Credit hours 0.000 TO 6.000 Lecture hours 0.000 TO 6.000 Lab hours 0.000 TO 6.000 Other hours Levels: Undergraduate Schedule Types: Independent Study Natural Sciences & Mathematics Division Mathematics Department
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1.00 - 4.00 Credits
Internship in Mathematics. 1.000 TO 4.000 Credit hours 0.000 TO 6.000 Lecture hours 0.000 TO 6.000 Lab hours 0.000 TO 6.000 Other hours Levels: Undergraduate Schedule Types: Internship Natural Sciences & Mathematics Division Mathematics Department
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4.00 Credits
MATH 2217, MATH 3323, and MATH 3325, with grades of C or better. Quantitative reasoning intensive course (Q1). Continuity and differentiability, theory of integration, and uniform convergence. Topology of the real line. Faculty: J. TOLOSA 4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Natural Sciences & Mathematics Division Mathematics Department Course Attributes: Q1- Quant Reasoning Intensive
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4.00 Credits
MATH 2217, MATH 3323, and MATH 3325, with grades of C or better. Quantitative reasoning intensive course (Q1). The complex plane and the theory of analytic functions. Complex integration and Cauchy's theorems. Laurent series, singularities, and the Residue theorem. Conformal mapping. 4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Natural Sciences & Mathematics Division Mathematics Department Course Attributes: Q1- Quant Reasoning Intensive
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4.00 Credits
MATH 3323 and MATH 3325, with grades of C or better. Quantitative reasoning intensive course (Q1). Group theory, subgroups and quotient groups, homomorphisms and automorphisms, permutation groups and Cayley's theorem. Ring theory and field theory; ideals and quotient rings, integral domains and fields, prime and maximal ideals. Faculty: R. IYER 4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Natural Sciences & Mathematics Division Mathematics Department Course Attributes: Q1- Quant Reasoning Intensive
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4.00 Credits
MATH 3323 and MATH 3325, with grades of C or better. Quantitative reasoning intensive course (Q1). Content varies from year to year. Recent topics were low dimensional manifolds, Euclidean and non-Euclidean geometries, and projective geometry. 4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Natural Sciences & Mathematics Division Mathematics Department Course Attributes: Q1- Quant Reasoning Intensive
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4.00 Credits
MATH 2217, either MATH 2225 or MATH 3325, with grades of C or better and MATH 3323 (may be taken concurrently). Quantitative reasoning intensive course (Q1). Basic concepts of probability. Combinations and permutations. Conditional probability and conditional expectation. Random walks. Gambler's ruin problems, and Markov chains. Discrete and continuous random variables. Bivariate and multivariate distributions. Variance, covariance, correlation, and moments. Faculty: J. SHEN 4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Natural Sciences & Mathematics Division Mathematics Department Course Attributes: Q1- Quant Reasoning Intensive
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4.00 Credits
MATH 4451, with grade of C or better. Quantitative reasoning intensive course (Q1). Special distributions, including binomial, hypergeometric, Poisson, negative binomial, normal, gamma, beta, multinomial, and bivariate normal distributions. Prior and posterior distributions. Estimations of parameters, including Bayes estimators and maximum likelihood estimators. Confidence intervals, testing, and hypotheses. Chi-square test and t-test. Non-parametric tests. Regression and analysis of variance. Faculty: Y. SHEN 4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Natural Sciences & Mathematics Division Mathematics Department Course Attributes: Q1- Quant Reasoning Intensive
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4.00 Credits
MATH 2216, and either MATH 2217 or MATH 3323, with grades of C or better; some programming experience. Quantitative reasoning intensive course (Q1). Introduction to Fortran. Review of Taylor series and other topics from calculus. Error analysis and computer arithmetic. Root finding, interpolation, and approximation. Numerical integration and differentiation. 4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Natural Sciences & Mathematics Division Mathematics Department Course Attributes: Q1- Quant Reasoning Intensive
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