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Course Criteria
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3.00 Credits
This course is a post-calculus treatment of probability and statistics. Topics include descriptive statistics, probability distributions for discrete and continuous random variables, statistical inference, one way analysis of variance, and regression analysis. Lecture/Lab Hours: Three hours per week.
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3.00 Credits
This course is an intensive study of a significant topic in mathematics not otherwise covered in course offerings. Three lecture hours per week. Lecture/Lab Hours: 3/0 When Offered: Fall 2010
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3.00 Credits
Topics include first-order symbolic logic, metalogic and completeness (Godel’s Incompleteness Theorem), axiomatic set theory, and computability. Lecture/Lab Hours: Three lecture hours per week.
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3.00 Credits
This course offers an investigative approach to number theory. Topics include divisibility and factorization, the Euclidean algorithm, linear diophantine equations, congruences and their applications, solving linear congruences, primes of special forms, the Chinese remainder theorem, multiplicative orders, the Euler phi-function, primitive roots, quadratic congruences, representation problems, and continued fractions. Lecture/Lab Hours: Three hours per week.
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3.00 Credits
Topics in this course include an introduction to the theory of vector spaces, with emphasis on finite-dimensional vector spaces, linear systems, matrices, linear transformations, eigenvalues, and related subjects. Lecture/Lab Hours: Three hours per week.
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3.00 Credits
This course is a study of the principles of mathematical analysis; point set topology of real numbers, numerical sequences and series, continuity, differentiation, integration, sequences and series of functions, and metric spaces. Lecture/Lab Hours: Three hours per week.
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3.00 Credits
Topics in this course include simple and multiple regression, model selection procedures, analysis of variance, simultaneous inference, and design and analysis of experiments. Lecture/Lab Hours: Three hours per week.
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3.00 Credits
Topics in this class include structure of graphs, directed graphs, trees, and connectivity; Eulerian and Hamiltonian graphs; planar graphs; graph colorings; matchings; independence; and domination. Additional topics may include symmetry of graphs, external graph theory, graph embeddings, greedy algorithm, flaws on graphs, and probabilistic methods in graph theory. Lecture/Lab Hours: Three hours per week.
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3.00 Credits
This is the first in a two-course sequence. Topics in this course include distributions of random variables; conditional probability and stochastic independence; multivariate and some special distributions; and distributions of functions of random variables. Lecture/Lab Hours: Three hours per week.
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3.00 Credits
This is the second in a two-course sequence. Topics in this course include statistical inference, sufficient statistics, estimation theory, theory of statistical tests, and inferences about normal models. Lecture/Lab Hours: Three hours per week.
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