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Course Criteria
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4.00 Credits
An introduction to statistics, covering similar topics to Mathematics 107, but for students who have taken a semester or more of calculus. Topics include exploratory data analysis, probability, inference for means and proportions, regression, and categorical data. Weekly computer labs using R to analyze real data. Prerequisite: Course 111 or 112 or equivalent. Enrollment limited to 40 students. G. Chandler
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4.00 Credits
Twosample comparisons, simple linear regression, multiple regression, model diagnostics, logistic regression for binary response variables and binomial counts, nonparametric methods, and possibly principal components. A case-study approach with extensive use of statistical software to examine real data, written statistical reports, and a final data analysis project. Focus on problem-solving tools, interpretation, and mathematical models underlying analysis methods; no calculus knowledge required. Prerequisite: Any introductory statistics course (Course 107, Psychology 201, Economics 230), or Course 113, or permission of the instructor. Offered alternating years. G. Chandler
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4.00 Credits
Core topics include simple comparative designs, factorial designs, block designs, and posthoc comparisons. Additional topics will be chosen from nested designs, repeated measures, random effects models, and Bayesian models. A case-study approach with extensive use of statistical software to examine real data, written statistical reports, and a final project featuring study design, data collection, and data analysis. Focus on problem-solving tools, interpretation, and mathematical models underlying analysis methods; no calculus knowledge required. Prerequisite: A previous course in statistics: Course 107, 207, Psychology 201, Economics 230, or permission of the instructor. Offered alternating years. G. Chandler
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4.00 Credits
An introduction to combinatorics, graphs, trees, algorithm analysis and algebraic structures. There will be applications to computers. This course is particularly recommended for students who intend to take advanced computer science courses. Prerequisite: Course 111 or 112 or Computer Science 110. Offered second semester. B. Baird, K. McKeon
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4.00 Credits
Introduction to vector concepts, functions of several variables, partial derivatives, multiple and repeated integrals. Applications to tangent lines and planes, external problems with and without constraints, volumes and moments. Prerequisite: Course 113 or permission of the instructor. Students are required to take a departmental interview to enter the calculus sequence at the appropriate level. Staff
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4.00 Credits
Included are techniques for solving first order equations and second and higher order linear equations. Among the applications studied are exponential growth and decay, physical vibrations, electric circuits, planetary motions, falling bodies and population growth. Prerequisite: Course 113 or equivalent. Offered second semester. Staff
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4.00 Credits
Vectors, vector spaces, subspaces, solutions of linear systems by Gaussian elimination, algebra of matrices, determinants and eigenvectors. Applications to calculus, geometry, economics and physical science. Prerequisite: Course 113 or permission of the instructor. Offered first semester. Staff
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4.00 Credits
Introduction to mathematical techniques used to define and analyze various securities and investments and to concepts such as cash flow, investments, and markets, arbitrage, dynamics, risk aversion, pricing, and hedging. Prerequisite: Course 113. P. Susskind
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4.00 Credits
Individual Study
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4.00 Credits
Topics underlying differential and integral calculus such as the real number system, sequences, series, metric spaces, uniform convergence, special functions, Riemann integrals, and Stieltjes integrals. Proofs will be emphasized. Prerequisite: Course 212 and either 225 or 226; or permission of the instructor. Offered every third semester. C. Hammond, P. Susskind
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