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Course Criteria
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1.50 Credits
A. Lee Software architectures, programming models, and programming environments pertinent to developing Internet applications. Topics include network protocols, client-server model, multi-tier software architecture, client-side scripting (e.g., JavaScript), server-side programming (e.g., Servlets and JavaServer Pages), component reuse (e.g., JavaBeans), database connectivity (e.g., JDBC), web servers, and developing web applications. Requires team project. Prerequisite: Computer Science 62. Offered every fall semester.
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1.50 Credits
Staff Abstract measures, Lebesgue measure, on Rn, and Lebesgue-Stieljes measure on R. The Lebesgue integral and limit theorems. Product measures and the Fubini Theorem. Additional related topics as time permits. Prerequisites: Mathematics 131 and 132. Offered jointly by CMC, Claremont Graduate University, and Pomona College. Offered every year.
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1.50 Credits
Staff Continuation of Mathematics 137. Some of the topics covered will be: Banach and Hilbert spaces, Lp spaces, complex measures and Radon-Nikodym theorem. Prerequisite: Mathematics 137. Offered jointly by CMC, Claremont Graduate University, and Pomona College. Offered every year.
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1.50 Credits
O'Neill Fourier series and integrals. Questions of convergence, divergence and approximation. Applications to differential equations, the Dirichlet problem, moment problems, signal processing, probability and statistics. Prerequisite: Mathematics 131. Offered every third year.
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1.50 Credits
Staff Balanced trees, string matching, graph algorithms, external sorting and searching. Dynamic programming, exhaustive search. Space and time complexity, derivation and solution of recurrence relations, complexity hierarchies, reducibility, NP completeness. Prerequisites: Computer Science 62 and Mathematics 50. Offered jointly by CMC, Harvey Mudd College, and Pomona College. Offered every semester.
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1.50 Credits
In 2008-2009, the topic will be:. Fukshansky The goal of this course is to introduce students to the basics of discrete and convex geometry. Topics covered will include convex bodies, lattices, quadratic forms, and interactions between them, such as the fundamentals of Minkowski's theory, shortest vector problem, reduction algorithms, LLL, and connections to computational complexity and theoretical computer science. Additional topics may include an introduction to optimization questions, such as tiling, packing, and covering problems. Prerequisites: Mathematics 32 and 60. Offered fall semester.
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1.50 Credits
O'Neill Discrete and continuous random variables, conditional and marginal distributions, independence, expectations, generating functions, transformations, central limit theorem. Applications to the social and physical sciences. Pre- or co-requisite: Mathematics 60, or permission of instructor. Offered jointly by CMC and Pomona College. Offered every fall semester.
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1.50 Credits
O'Neill Introduction to statistical inference including practical problems in the social and physical sciences. Estimation of parameters, confidence intervals, and tests of hypothesis. Prerequisite: Mathematics 151. Offered jointly by CMC and Pomona College. Offered every spring semester.
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1.50 Credits
Staff Selected topics in statistical inference including Bayesian Inference, sequential procedures, and distribution free methods. Prerequisite: Mathematics 152. Offered jointly by CMC and Pomona College. Offered every other year.
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1.50 Credits
Staff Topics chosen from the theory of discrete and continuous Markov chains, second order processes, renewal processes, martingales, Brownian motion, branching processes, random sums, ergodic theory, and stationary processes. Prerequisite: Mathematics 151. Offered jointly by CMC and Pomona College. Offered every other year.
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