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Course Criteria
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3.00 Credits
Common Course Number & Description This is continuation of MATH 425. PreRequisite: MATH-425 3 semester hours
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3.00 Credits
Unique Course This is an extension of Abstract Linear Algebra concepts to functional spaces. Metric spaces, normed and Banach spaces, and inner product and Hilbert spaces are rigorously defined and explored. PreRequisite: MATH-315 MATH-425 3 semester hours
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3.00 Credits
Common Course Number & Description A general presentation of historical topics in mathematics including contributions to mathematics from ancient civilizations; developments leading to the creation of modern geometries, calculus and modern algebra; and contributions of outstanding mathematicians. PreRequisite: MATH-125 3 semester hours
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3.00 Credits
Common Course Number & Description Analysis of rounding errors, numerical solutions of nonlinear equations, numerical differentiation, numerical integration, interpolation and approximation, numerical methods for solving linear systems. PreRequisite: MATH-225 3 semester hours
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3.00 Credits
Common Course Number & Description Solution of nonlinear equations. Computational methods of linear algebra, theory of matrices in numerical analysis, special eigenvalue problems and computational algorithms. Finite difference interpolations, numerical solutions to ordinary and partial differential equations, boundary value problems. PreRequisite: MATH-471 3 semester hours
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3.00 Credits
Common Course Number & Description An introduction to the core ideas in probability and statistics. Computation of probabilities using, for instance, counting techniques and Bayes' rule. Introduction to discrete and continuous random variables, joint and conditional distributions, expectation, variance and correlation, random sampling from populations, hypothesis tests and confidence intervals, and least squares. PreRequisite: MATH-225 2 to 3 semester hours
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3.00 Credits
Unique Course This course is a study of simple and multiple regression. Topics will include analysis of residuals, violations of assumptions, multicollinearity influence diagnostics and nonparametric regression. Computer software will be utilized. PreRequisite: MATH-315 MATH-481 3 semester hours
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3.00 Credits
Unique Course This is a study of some common statistical techniques in a multivariate setting. Topics will include principal components, factor analysis, canonical correlation analysis, discriminate analysis and clustering. PreRequisite: MATH-315 MATH-281 3 semester hours
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3.00 Credits
Unique Course This course is a study of the construction and analysis of designs for experimental investigations. Topics will include analysis of variance, completely randomized designs, randomized block designs, nested designs, and Latin squares. Computer software will be utilized. PreRequisite: MATH-281 or MATH-281 3 semester hours
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1.00 - 4.00 Credits
Common Course Number & Description Includes directed study, problems, readings, directed readings, special problems and special projects. Students complete individualized plans of study which include significant one-on-one student-teacher involvement. The faculty member and students negotiate the details of the study plans. Enrollments are usually 10 or fewer students. Meetings depending upon the requirements of the topic. 1 to 4 semester hours
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