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Course Criteria
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3.00 Credits
3 SP MATH 341. This course focuses on having students examine mathematical pedagogy and the understanding and evaluations of students as mathematical learners as it analyzes secondary mathematics curriculum from an advanced standpoint. Students will have opportunities to be involved in the facilitation of mathematical learning. Topics include: history of mathematics education, contemporary mathematics curricula, problem solving, mathematical reasoning and methods of proof, mathematical learning theories, communication, assessment and collaborative learning communities.
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3.00 Credits
3 FA MATH 121, MATH 330. The analysis of mathematical and applied problems through the use of permutations and combinations, generating functions and recurrence relations. Directed graphs, trees, connectivity, and duality.
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3.00 Credits
3 SP MATH 220, MATH 330. An exploration of axioms and models for Euclidean and non-Euclidean geometries focusing on the independence of the Parallel Postulate. Additional topics will be chosen from Euclidean plane geometry, transformation geometry, and the geometry of polyhedra.
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3.00 Credits
3 FA MATH 121. Basic concepts of probability theory, random variables and their distributions, limit theorems, sampling theory, topics in statistical inference, regression, and correlation.
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3.00 Credits
3 SP MATH 350. Continuation of MATH 350.
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3.00 Credits
3 S1 MATH 220, MATH 350. Markov chains, birth and death processes, steady-state queuing theory, more general Markov processes, Chapman-Kolmogorov equations, simulation (Monte-Carlo), stochastic networks (PERT), applications to reliability, replacement, and inventory control.
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3.00 Credits
3 FA MATH 105 or MATH 350 or MATH 315. The analysis of variance applied to fixed, random, and mixed models. Use of linear statistical models and regression in data analysis. Appropriate for mathematics and computer science majors and for graduate students in the biological, health, and agricultural sciences.
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3.00 Credits
3 FA MATH 260. Systems of first order linear equations, existence and uniqueness theorems, stability, Sturm separation theorems, power series methods.
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3.00 Credits
3 SP MATH 260. Partial differential equations, separation of variables, orthogonal sets of functions, Sturm-Liouville problems, Fourier series, boundary value problems for the wave equation, heat equation, and Laplace equation; Bessel functions, Legendre polynomials.
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1.00 - 3.00 Credits
1 FS At least one 100- or 200-level mathematics course appropriate to the subject, faculty permission. This course is for special topics offered for 1.0-3.0 units. Typically the topic is offered on a one-time-only basis and may vary from term to term and be different for different sections. See the Class Schedule for the specific topic being offered.
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