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Course Criteria
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3.00 Credits
spring. Vectors, linear geometry of three dimensional space, vector spaces, linear systems of equations, linear transformations, matrix algebra, determinants, diagonal matrices, and eigenvalue problems, change of bases in a vector space. Gram-Schmidt process, and unitary matrices. Prerequisite: MATH 186.
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3.00 Credits
fall, even years. Linear programming models, simplex algorithm, duality theory, and sensitivity analysis. Applications to graphical networks, scheduling problems, dynamic programming, and game theory. Prerequisite: MATH 130 or 227.
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3.00 Credits
fall, even years. Survey of elementary numerical methods used in scientific computing applications. Topics include computer representation of integer and real numbers, sequences, series approximations, finite differences, interpolation, curve fitting, numerical differentiation and integration, and roots of a single non-linear equation. Selected algorithms to be solved using the computer. Programming experience required. Prerequisite: MATH 186. Same as CS 341.
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3.00 Credits
spring. Introduction to the abstract fundamentals of algebra. Topics include number theory, fields, polynomials over a field, and field extensions. Introduction to integral domains, rings, and groups. Prerequisites: MATH 227, 325.
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3.00 Credits
spring. Population and predator-prey models; first order equations; systems of first order equations and equilibrium points; oscillations and second order equations; Laplace transforms. Prerequisite: MATH 186.
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3.00 Credits
fall. Measurement concepts and scales, populations versus samples, descriptive statistics, random variables and their properties, sampling processes and distributions, special probability distributions, confidence intervals on means and variances from samples, hypothesis tests, one-way analysis of variance, linear correlation and regression, estimation of proportions, and introduction to contingency tables. Prerequisite: MATH 131 or 185.
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3.00 Credits
fall. A study of the fundamental concepts of calculus including real numbers, convergence, continuity, differentiation, and the integral. Prerequisites: MATH 227, 325.
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2.00 Credits
spring. Students use mathematical literature, software and technology to improve their problem-solving, writing, and presentation skills. Results are presented in both written and oral form. Prerequisites: CS 115 and MATH 227 or 248.
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3.00 Credits
spring. Algebraic concepts linked to geometry, algebraic habits of mind as seen in non-linear relationships (exponential and logarithmic), recursive thinking, applications of sequences and series, mathematical processes (multiple representations, connections, communication) and perspectives (historical and international) as specified by national and state standards for teaching grades 4-8 and 8-12 mathematics. Prerequisite: MATH 309. For MATM and MATT majors only.
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3.00 Credits
fall. Major geometric ideas, their historical development, their connections to grades 6-12, in-depth work with secondary topics of Euclidean geometry, non-Euclidean geometry, conic sections, taxicab geometry, and modeling. Heavy use of dynamic geometry software. Topics are as specified by national and state standards for teaching grades 4-8 and 8-12 mathematics. Prerequisite: MATH 311. For MATM and MATT majors only.
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