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Overview
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Embracing the Mathematics Clinics at CGU and at the highly regarded undergraduate Claremont Colleges, the Claremont Mathematics Clinic has proven to be an effective "two-way street" between applied mathematicians at the colleges and scientists and mathematicians in industry or government laboratories in need of amplified mathematical experience.
In the 170-plus year-long projects that have been completed by Clinic teams over the last two decades, students and faculty have gained an opportunity to apply their mathematical skills to an impressive variety of real-world, current problems. Client scientists and engineers who propose projects benefit from useful, relevant solutions. Recent projects led to two patents and a computational model that outperforms the current industry standard.
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Goals
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Mathematics Clinic goals are to:
provide students with experience for a career in industry
or government
provide students with experience far beyond normal
university training
sustain a curriculum attuned to real-world applications
foster an ongoing dialog between faculty and scientists,
bring industrial trends to campus, and alert industry to
new techniques developed in academia
allow business and industry to draw upon the intellectual
and physical resources of The Claremont Colleges
develop specific projects to be addressed by joint teams of
faculty members, students, and industry
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Description
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Clinic teams address problems of sufficient magnitude and complexity that their analysis, solution and exposition require substantial effort over the course of an academic year or full-time involvement over a summer. If problems require expertise from disciplines other than mathematics--such as engineering, physics or economics--advanced undergraduate or graduate students from these disciplines may join the Clinic team. The CGU Mathematics Clinic works closely with its counterparts at the Claremont Colleges, with clinic teams often combining graduate students and advanced undergraduates.
The creative resources of the Mathematics Clinic often far exceed those normally available even to a fairly large organization.
The Claremont Colleges' mathematics programs stress creative thinking. This means that students and faculty members are exceptionally well equipped to address problems. Many faculty members have considerable background in industry.
The Clinic includes specialists actively engaged in research in nearly all phases of applied mathematics, with established reputations in areas such as mathematical modeling of physical and economic systems; differential and integral equations; numerical analysis; Monte Carlo methods; operations research; scheduling; mathematical programming and optimization; probability theory; applied statistics; and computer science.
Recognizing the value of the Mathematics Clinic, the National Science Foundation has provided two major grants: one to develop the Clinic, and the other to bring new mathematicians to Claremont. To date, 52 post-doctoral mathematicians have participated in and benefited from the Clinic experience.
Students receive credit for their work in the Mathematics Clinic.
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Recent Projects
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Optimizing Transmission of Renewable Energy Sponsor: Southern California Edison
Hardware-Software Codesign
Sponsor: Los Alamos National Laboratory
Credit Data Cohort Analysis
Sponsor: Fair Isaac
Optimizing Smart Power Grids
Sponsor: Los Alamos National Laboratory
Credit Risk in a Network Economy
Sponsor: Fitch Rating
Isogeometric Analysis
Sponsor: Boeing
Gate to Base Capacitance Modeling for Nano-scale MOSFETs
Sponsor: USC Information Sciences Institute
Practical Semi-Analytic Model for the Substrate Current of Short Channel MOSFETs with LDDs
Sponsor: USC Information Sciences Institute
Pipeline capacitance tomography
Sponsor: Instituto Mexicano del Petroleo
Fast Optimization Algorithms for Mars Relay Network Planning and Scheduling
Sponsor: Jet Propulsion Laboratory
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Clinic Faculty
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The areas of expertise of The Claremont Colleges faculty members who participate in the Mathematics Clinic cover an impressive range of mathematical applications. In addition to those faculty members listed below, more than 50 post-doctoral mathematicians from such institutions as Purdue University, Indiana University, The University of Guelph (Canada) and Trinity College (Ireland) have served as Mathematics Clinic advisors during year-long visits to Claremont
John Angus: Probability, statistics, neural networks, genetic algorithms,
computer-intensive methods in statistics.
Ellis Cumberbatch: Fluids, solids, transistor modeling, asymptotics.
Mario Martelli: Non-linear analysis, chaos, applied mathematics.
Ali Nadim: Applied mathematics, fluid dynamics, scientific computing.
Allon Percus: Discrete optimization, algorithms, network models.
Ami Radunskaya: Dynamical systems, stochastic processes,
applications of dynamical systems to instrument modeling, sound
generation, interactive composition.
Adolfo Rumbos: Partial differential equations, bifurcation techniques.
Henry Schellhorn: Mathematical finance, stochastic analysis, credit risk, Monte Carlo simulation.
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