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Course Criteria
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3.00 Credits
Every other fall. Fall 2007. THE DEPARTMENT. A study of some of the partial differential equations that model a variety of systems in the natural and social sciences. Classical methods for solving partial differential equations, with an emphasis where appropriate on modern, qualitative techniques for studying the behavior of solutions. Applications to the analysis of a broad set of topics, including air quality, traffic flow, and imaging. Computer software is used as an important tool, but no prior programming background is assumed. Prerequisite: Mathematics 201 (formerly Mathematics 222) and 224 or permission of the instructor.
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3.00 Credits
Every spring. THE DEPARTMENT. An introduction to the fundamentals of mathematical statistics. General topics include likelihood methods, point and interval estimation, and tests of significance. Applications include inference about binomial, Poisson, and exponential models, frequency data, and analysis of normal measurements. Prerequisite: Mathematics 225.
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3.00 Credits
THE DEPARTMENT.
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3.00 Credits
Every other spring. Spring 2008. THE DEPARTMENT. One or more specialized topics from abstract algebra and its applications. Topics may include group representation theory, coding theory, symmetries, ring theory, finite fields and field theory, algebraic numbers, and Diophantine equations. Prerequisite: Mathematics 262.
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3.00 Credits
Every other spring. Spring 2007. THE DEPARTMENT. One or more selected topics from analysis. Possible topics include geometric measure theory, Lebesque general measure and integration theory, Fourier analysis, Hilbert and Banach space theory, and spectral theory. Prerequisite: Mathematics 201 (formerly Mathematics 222) and 263, or permission of the instructor.
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3.00 Credits
Every other fall. Fall 2006. MARY LOU ZEEMAN. One or more selected topics in applied mathematics. Material selected from the following: Fourier series, partial differential equations, integral equations, optimal control, bifurcation theory, asymptotic analysis, applied functional analysis, and topics in mathematical physics. Prerequisite: Mathematics 200, 201 (formerly Mathematics 222) and 224, or permission of the instructor.
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3.00 Credits
Fall 2006. ROSEMARY ROBERTS. One or more specialized topics in probability and statistics. Possible topics include regression analysis, nonparametric statistics, logistic regression, and other linear and nonlinear approaches to modeling data. Emphasis is on the mathematical derivation of the statistical procedures and on the application of the statistical theory to real-life problems. Prerequisite: Mathematics 201 (formerly Mathematics 222) and 265 or permission of the instructor.
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3.00 Credits
Fall 2007. THE DEPARTMENT. A survey of analytic geometry, affine geometric, projective geometry, and the non- Euclidean geometries. Culminates in a rigorous development of the geometry of fourdimensional space-time in special relativity. The unifying theme is the transformational viewpoint of Klein's Erlangen Program. Prerequisite: Mathematics 201 (formerly Mathematics 222) and 247 or permission of the instructor.
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3.00 Credits
THE DEPARTMENT.
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3.00 Credits
Every spring. THE DEPARTMENT. An introduction to the ideas of statistics. Students learn how to reason statistically and how to interpret and draw conclusions from data. Designed for students who want to understand the nature of statistical information. Open to first-year students and sophomores who want to improve their quantitative skills. It is recommended that students with a background in calculus enroll in Mathematics 155 or 165. Not open to students who have credit for Mathematics 65. Prerequisite: Recommendation of the director of the Quantitative Skills Program and permission of the instructor.
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