MUSIC DECODED:WHAT DO YOU HEAR

The primary goal of this course is to deepen your understanding of the music you like, while forging connections to music that is unfamiliar to you, making you a more well-informed music consumer. Throughout the course, you hone active listening skills, helping you to identify technical components and to connect with the music on an emotional level. These skills help you describe more specifically what you hear, and decode increasingly complex music. Classes cover folk, popular, jazz, non-western classical and other styles.

SEM: MATHEMATICAL STATISTICS

Same as SDS 320. An introduction to the mathematical theory of statistics and to the application of that theory to the real world. Topics include functions of random variables, estimation, likelihood and Bayesian methods, hypothesis testing and linear models. Prerequisites: a course in introductory statistics, MTH 212 and MTH 246, or permission of the instructor.

ADV TOPICS DISCRETE APP MATH

Topics course.: A senior-level course in Mathematical Optimization. Develops geometric and algebraic views of linear programming in parallel. Proof-based treatment of the Simplex Algorithm and LP Duality. Introduction to classical models in combinatorial optimization (including problems in networks and scheduling). Also covers: modeling logical constraints, integer programming for NP-hard problems, branch-and-bound algorithm, integrality gap, specialized algorithmic methods, dynamic programming, intro to provably-good approximation, and intro to rigorous notions of efficiency.

RESEARCH DESIGN & ANALYSIS

Same as MTH 290. Note: This course is no longer considered the same as PSY 301, starting in the 2014–15 academic year. A survey of statistical methods needed for scientific research, including planning data collection and data analyses that provide evidence about a research hypothesis. The course can include coverage of analyses of variance, interactions, contrasts, multiple comparisons, multiple regression, factor analysis, causal inference for observational and randomized studies and graphical methods for displaying data.

RESEARCH DESIGN AND ANALYSIS

Same as SDS 290. Note: This course is no longer considered the same as PSY 301, starting in the 2014–15 academic year. A survey of statistical methods needed for scientific research, including planning data collection and data analyses that provide evidence about a research hypothesis. The course can include coverage of analyses of variance, interactions, contrasts, multiple comparisons, multiple regression, factor analysis, causal inference for observational and randomized studies and graphical methods for displaying data.

COMBINATORICS

Enumeration, including recurrence relations and generating functions. Special attention paid to binomial coefficients, Fibonacci numbers, Catalan numbers and Stirling numbers. Combinatorial designs, including Latin squares, finite projective planes Hadamard matrices and block designs. Necessary conditions and constructions. Error correcting codes. Applications. Prerequisites: MTH 153 and MTH 211 or permission of the instructor.

STATISTICAL THINKING

Same as SDS 107. An introduction to statistics that teaches broadly relevant concepts. Students from all disciplines are welcome. Topics include graphical and numerical methods for summarizing data; binomial and normal probability distributions; point and interval estimates for means and for proportions; one- and two-sample tests for means and for proportions; principles of experimental design. The class meets in a computer lab and emphasizes using the computer for analysis of data. Students design experiments, collect and analyze the data, and write reports on findings.

DISCOVERING MATH:MATH AS ART

Topics course.: Mathematics sometimes function as artists, creating structures that are described as “beautiful,” “elegant” and “mysterious.” The structures are not physical; they are ideas. The art of mathematics is an art of ideas. This is a studio course. Students create structures in several mathematical genres while exploring the nature of mathematical beauty. At the end of the course, students exhibit their best peices in an exhibit in campus.
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