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Course Criteria
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3.00 Credits
3 INQ MATH 260. The Fourier transform and its properties. Inversion, convolution, correlation, Parseval's theorem, band-limited functions, sampling theorem, and uncertainty principles. The discrete Fourier transform using the FFT. Application to rapid convolution, the estimation of Fourier series coefficients, power spectra, and frequency response.
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3.00 Credits
3 S1 MATH 260; MATH 335 is recommended. Introduction to mathematical models of competition, conflict, and decision-making. Games involving risk and uncertainty will be analyzed using the Minimax Theorem and linear programming. Multi-state games and continuous games will be studied using difference equations and differential forms.
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3.00 Credits
3 F1 MATH 260; MATH 361 is recommended. Classical problems in the calculus of variations. Euler-Lagrange equations. Isoperimetric problems, Fermat's principle. Lagrangian and Hamiltonian mechanics of particles. Two independent variables. Applications to physics and engineering.
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3.00 Credits
3 S1 MATH 260, MATH 335. The translation of real world phenomena into mathematical language. Possible applications include population and competing species models, mathematical theories of war, traffic flow, river pollution, water waves and tidal dynamics, probabilistic and simulation models.
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3.00 Credits
3 FS Admission to the Department Honors Program, completion of MATH 420 with a grade of B or higher. Directed reading in an advanced topic under the guidance of an Honors thesis supervisor. The course exceeds the usual level of difficulty associated with undergraduate work. It provides the background necessary to write an Honors thesis.
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1.00 - 3.00 Credits
1 FS At least one 300- or 400-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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3.00 Credits
3 FS Completion of MATH 495H with a grade of B or higher, and approval by the department Honors advisor and thesis supervisor of the proposed thesis topic. Preparation of written thesis in mathematics under supervision of Honors thesis advisor. The thesis, based on studies begun in MATH 495H, will require original work beyond that normally required in undergraduate work. Completed written thesis must be approved by the thesis supervisor and Honors advisor. A summary of the thesis will be presented by the student in public lecture. Successful completion of MATH 495H and MATH 499H is one of the requirements for being designated as an Honors graduate in mathematics.
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3.00 Credits
3 INQ Admission to the master's program in mathematics education or instructor permission. Through an array of pedagogical strategies, secondary mathematics teachers explore analysis topics appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of analysis.
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3.00 Credits
3 FA MATH 105, MATH 350, MATH 315, or MATH 305 (only one is required). Introduction to common procedures used to analyze data. Single and two-sample inference, analysis of variance, multiple regression, analysis of co-variance, experimental design, repeated measures, nonparametric procedures, and categorical data analysis. Examples will be drawn from Biology and related disciplines. Statistical computer packages will be introduced. Appropriate for biology, agriculture, nutrition, psychology, social science, and other majors.
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3.00 Credits
3 INQ Admission to the master's program in mathematics education or instructor permission. Through an array of pedagogical strategies, secondary mathematics teachers explore geometry appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of geometry.
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