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Course Criteria
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0.00 - 1.00 Credits
Cr. 1. Repeatable for maximum of 3 credits. Alt. F., offered 2008. Prereq : Enrollment in master of school mathematics program, professional studies in education or by permission for secondary mathematics education majors. Research, discussion and evaluation of efforts to improve instruction in the mathematics classroom.
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0.00 - 1.00 Credits
Cr. 1. F. Prereq : Teaching a mathematics course. Selected topics in collegiate mathematics education including cooperative learning, instructional use of technology, writing in mathematics, and cognitive learning theories. Research studies, exemplar practices, and trends in mathematics education.
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0.00 - 4.00 Credits
Cr. 4. Prereq : 3 semesters of calculus and enrollment in the master of school mathematics program. Offered on a 3-year cycle, offered SS. 2010. Further development of the fundamental concepts of calculus and their applications with an emphasis on a constructivist approach to learning, cooperative groups, problem solving, the use of technology.
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2.00 Credits
Cr. 3. Prereq : 3 semesters in calculus or concurrent enrollment in 545 and enrollment in the master of school mathematics program. Offered on a 3- year cycle, offered SS. 2010. The use of technology in secondary mathematics with an emphasis on the exploration and implementation of algorithms.
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0.00 - 4.00 Credits
(4-0) Cr. 4. Prereq : Enrollment in the master of school mathematics program. Offered on a 3-year cycle, offered SS. 2009. Applications of graph theory, game theory, linear programming, recursion, combinatorics and algebraic structures. Issues in integrating discrete topics into the secondary curriculum. Use of the computer to explore discrete mathematics.
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0.00 - 3.00 Credits
Cr. 3. Prereq : 435 or equivalent and enrollment in the master of school mathematics program. Offered on a 3-year cycle, offered SS. 2009. A study of geometry with emphasis on metrics, the group of isometries, the group of similarities, and the affi ne group. Specifi c spaces studied normally include the Euclidean plane, the 2-sphere, and projective 2-space. Emphasis on analytical methods.
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0.00 - 3.00 Credits
(Cross-listed with Stat). (3-0) Cr. 3. F. Prereq : Stat 542. Markov chains on discrete spaces in discrete and continuous time (random walks, Poisson processes, birth and death processes) and their long-term behavior. Optional topics may include branching processes, renewal theory, introduction to Brownian motion.
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0.00 - 3.00 Credits
Cr. 3. F. Prereq : 415 or 465 or 501. The initial-value problem, existence and uniqueness theorems, continuous dependence on parameters, linear systems, stability and asymptotic behavior of solutions, linearization, topics from dynamical systems and two-point boundary- value problems.
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0.00 - 3.00 Credits
(3-0) Cr. 3. F. Prereq : BCB 567, Gen 411, Stat 401, Stat 432. Algorithmic and statistical approaches in structural genomics including protein, DNA and RNA structure. Structure determination, refi nement, representation, comparison, visualization, and modeling. Analysis and prediction of protein secondary and tertiary structure, disorder, protein cores and surfaces, protein-protein and protein-nucleic acid interactions, protein localization and function.
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0.00 - 3.00 Credits
(3-0) Cr. 3. F. Prereq : E E 324 or Aer E 331 or M E 370 or M E 411 or Math 341 or 395. Elementary notions of probability. Random processes. Autocorrelation and spectral functions. Estimation of spectrum from fi nite data. Response of linear systems to random inputs. Discrete and continuous Kalman fi lter theory and applications. Smoothing and prediction. Linearization of nonlinear dynamics.
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