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Course Criteria
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3.00 Credits
3 SP MATH 220, MATH 330, MATH 335. Introduction to basic algebraic structures such as groups, ring, and fields. The fundamental concepts of homomorphism, subgroup, normal subgroup and factor group of a group as well as subring, ideal and factor ring of a ring; permutation groups and matrix groups.
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3.00 Credits
3 FA MATH 220, MATH 330, MATH 351. A rigorous theoretical treatment of the following topics: transformations of random variables, estimation, Neyman-Pearson hypothesis testing, likelihood ratio tests, and Bayesian statistics.
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3.00 Credits
3 S2 MATH 356. Advanced topics such as blocking, Latin squares, confounding, multiple regression, and the analysis of covariance. The general linear model. No credit for mathematics majors, except for the Option in Statistics.
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3.00 Credits
3 S2 MATH 350 (or MATH 105 with faculty permission), MATH 335, MATH 150 (may be taken concurrently). The theory and application of multiple regression methods with simple linear regression as a special case. Appropriate for mathematics, computer science, engineering, psychology, social science, agriculture, biology, and other majors.
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1.00 Credits
3 S2 One course chosen from MATH 105, MATH 305, MATH 350, or MATH 315. The theory and application of survey sampling techniques. Topics include simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Appropriate for mathematics, computer science, psychology, social science, agriculture, biology, and other majors.
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3.00 Credits
3 S2 MATH 220, MATH 335, completion of the computer literacy requirement. Error analysis; numerical solution of algebraic and transcendental equations; systems of linear and non-linear equations; matrix inversion; matrix eigenvalues and eigenvectors.
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3.00 Credits
3 S1 MATH 260 (may be taken concurrently), MATH 335, completion of the computer literacy requirement. MATH 460 is not a prerequisite for MATH 461. Approximation; numerical integration; numerical solution of ordinary and partial differential equations; interpolation and extrapolation.
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3.00 Credits
3 FA MATH 220. Algebra of Complex Numbers, Cauchy-Riemann Equations, the exponential, trigonometric, and logarithmic functions, complex integration and Cauchy integral formula, Taylor and Laurent series, the residue theorem, conformal mapping, and applications.
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3.00 Credits
3 INQ MATH 220. MATH 260 (or concurrent enrollment) is recommended. Cartan's exterior calculus in n-dimensional space. Applications to Maxwell's equations, thermodynamics, potential theory, the heat equations, and flux transport. Suitable for engineering, physics, chemistry and mathematics majors.
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3.00 Credits
3 S2 MATH 260; MATH 360 and MATH 335 are recommended. An introduction to the study of non-linear dynamical systems. Both discrete and continuous systems will be studied using classical analysis combined with geometric techniques and computer simulation. Areas of application include fractal geometry, coding theory, fluid turbulence, population fluctuation, and chaotic vibrations of structures and circuits.
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