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<!doctype html> <html xml:lang="en" lang="en" dir="ltr"> <head> <title>Catalog A鈥揨 Index < Yale University</title> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <meta name="google-site-verification" content="gVVqStu35k6xvXFdEFk4jzm-dzPPDhDIKVjUKHIQG04" /> <meta name="viewport" content="width=device-width, initial-scale=1.0, minimum-scale=1.0" /> <link rel="icon" sizes="228x228" href="/archive/2019-2020/images/touch-icon-228.png"> <link rel="apple-touch-icon-precomposed" sizes="228x228" href="/archive/2019-2020/images/touch-icon-228.png"> <link href="/archive/2019-2020/favicon.ico" rel="shortcut icon" /> <link rel="stylesheet" type="text/css" href="/archive/2019-2020/css/reset.css" /> <link rel="stylesheet" type="text/css" href="/archive/2019-2020/fonts/font-awesome/font-awesome.min.css" /> <link rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:400,300,400italic,500,700,500italic,700italic,300italic" /> <link rel="stylesheet" type="text/css" href="/archive/2019-2020/css/screen.css" media="screen" /> <link rel="stylesheet" type="text/css" href="/archive/2019-2020/css/print.css" media="print" /> <script type="text/javascript" src="/archive/2019-2020/js/jquery.js"></script> <script type="text/javascript" src="/archive/2019-2020/js/lfjs.js"></script> <script type="text/javascript" src="/archive/2019-2020/js/lfjs_any.js"></script> <link rel="stylesheet" type="text/css" href="/archive/2019-2020/js/lfjs.css" /> <script type="text/javascript" src="/archive/2019-2020/js/courseleaf.js"></script> <script type="text/javascript" src="/archive/2019-2020/js/custom.js"></script> <script type="text/javascript"> var edition = "2019-2020"; var archivepath = "/archive/2019-2020"; </script> <script type="text/javascript"> (function(i,s,o,g,r,a,m){i['GoogleAnalyticsObject']=r;i[r]=i[r]||function(){ (i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o), m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m) })(window,document,'script','//www.google-analytics.com/analytics.js','ga'); ga('create', 'UA-43202520-1', 'yale.edu'); ga('send', 'pageview'); </script> </head> <body class="yalecollege">  <div class="accessible noscript"> <div class="accessible-menu"> <ul> <li><a href="#content">Skip to Content</a></li> <li><a href="/archive/2019-2020/gsas/azindex/">AZ Index</a></li> <li><a href="/archive/2019-2020/">Catalog Home</a></li> <li><a href="http://www.yale.edu">Institution Home</a></li> </ul> </div> </div>   <header id="header" class="clearfix"> <div class="wrap clearfix"> <div id="logo" class="logo clearfix"> <a href="//bulletin.yale.edu">Bulletin of Yale University</a> </div> <div id="hamburger"><span>Menu</span></div> <div class="search" role="search"> <form id="catalog-search" id="cl-search" action="/search/" class="clearfix" role="search"> <input type="hidden" name="edition" value="2019-2020" /> <input name="archivepath" value="/archive/2019-2020" type="hidden" /> <label for="head-name" class="sr-only">Search Bulletin</label> <input type="submit" value="Search" class="submit"><i class="fa fa-search"></i> <input type="text" name="search" size="25" placeholder="Search This Site" class="searchbox" id="head-name" title="Search This Site"> </form> </div> </div> </header>  <div class="white-container"> <div class="wrap header-wrap"> <div id="edition">  <h1>Graduate School of Arts and Sciences Programs and Policies 2019–2020</h1> </div> <nav id="navigation" aria-label="header navigation"> <div class="wrap"> <ul class="clearfix dropNav"> <li><a href="/archive/2019-2020/gsas/azindex/">A–Z Index</a></li> <li><a href="#print-dialog" id="print-btn" onclick="showPrintDialog(); return false;">Print/Download Options</a></li> <li><a href="//bulletin.yale.edu/bulletins-pdf/bulletin-archive">Bulletin Archive</a></li> </ul> </div> </nav> </div> <div id="content-wrapper" class="wrap clearfix">  <div id="breadcrumb" role="navigation" aria-label="Breadcrumb navigation"> <ul><li><a href="/archive/2019-2020/">Yale University Publications</a><span class="crumbsep"> / </span></li><li><a href="/archive/2019-2020/gsas/">Graduate School of Arts and Sciences</a><span class="crumbsep"> / </span></li><li><span class="active">Catalog A鈥揨 Index</span></li></ul> </div> <div id="nav-col"> <div class="eds-container"> <h2> <button title="Explore previous editions" aria-controls="prev-eds" id="ed-switcher"> <span class="sr-only">Current Edition: </span>Graduate Archive<span class="sr-only">. 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To access the most recent version of the bulletin, please visit <a href="http://catalog.yale.edu">http://catalog.yale.edu</a>. </p> </div> <h1>Catalog A鈥揨 Index</h1> <div id="textcontainer" class="tab_content"> <div align="center" class="azMenu"> <ul class="letternav clearfix"> <li class="inactive">#</li><li><a href="#A">A</a></li><li><a href="#B">B</a></li><li><a href="#C">C</a></li><li><a href="#D">D</a></li><li><a href="#E">E</a></li><li><a href="#F">F</a></li><li><a href="#G">G</a></li><li><a href="#H">H</a></li><li><a href="#I">I</a></li><li><a href="#J">J</a></li><li class="inactive">K</li><li><a href="#L">L</a></li><li><a href="#M">M</a></li><li><a href="#N">N</a></li><li><a href="#O">O</a></li><li><a href="#P">P</a></li><li class="inactive">Q</li><li><a href="#R">R</a></li><li><a href="#S">S</a></li><li><a href="#T">T</a></li><li class="inactive">U</li><li class="inactive">V</li><li><a href="#W">W</a></li><li class="inactive">X</li><li><a href="#Y">Y</a></li><li class="inactive">Z</li></ul> </div> <div id="atozindex"> <h2 class="letternav-head" id='A'><a name='A'>A</a></h2> <ul> <li><a href="/archive/2019-2020/gsas/policies-regulations/academic-regulations/">Academic Regulations</a></li> <li><a href="/archive/2019-2020/gsas/administration/">Administration of the Graduate School</a></li> <li><a href="/archive/2019-2020/gsas/policies-regulations/admissions/">Admissions</a></li> <li><a href="/archive/2019-2020/gsas/school-arts-sciences/admissions/">Admissions</a></li> <li><a href="/archive/2019-2020/gsas/school-arts-sciences/affiliated-offices/">Affiliated Offices</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/african-american-studies/">African American Studies</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/african-studies/">African Studies</a></li> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/whitney-betty-macmillan-center-international-area-studies/african-studies-council/">African Studies, Council on</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/american-studies/">American Studies</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/anthropology/">Anthropology</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/applied-mathematics/">Applied Mathematics</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/applied-physics/">Applied Physics</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/archaeological-studies/">Archaeological Studies</a></li> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/archaia/">Archaia</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/architecture/">Architecture</a></li> <li><a href="/archive/2019-2020/gsas/school-arts-sciences/associate-assistant-deans-academic-affairs/">Associate and Assistant Deans for Academic Affairs</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/astronomy/">Astronomy</a></li> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/atmospheric-science/">Atmospheric Science</a></li> </ul> <h2 class="letternav-head" id='B'><a name='B'>B</a></h2> <ul> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/biological-biomedical-sciences-combined-program/">Biological and Biomedical Sciences (BBS), Combined Program in</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/biomedical-engineering/">Biomedical Engineering</a></li> <li><a href="/archive/2019-2020/gsas/school-arts-sciences/business-operations/">Business Operations</a></li> </ul> <h2 class="letternav-head" id='C'><a name='C'>C</a></h2> <ul> <li><a href="/archive/2019-2020/gsas/azindex/">Catalog A鈥揨 Index</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/cell-biology/">Cell Biology</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/cellular-molecular-physiology/">Cellular and Molecular Physiology</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/chemical-environmental-engineering/">Chemical & Environmental Engineering</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/chemistry/">Chemistry</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/classics/">Classics</a></li> <li><a href="/archive/2019-2020/gsas/school-arts-sciences/committees/">Committees</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/comparative-literature/">Comparative Literature</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/computational-biology-bioinformatics/">Computational Biology and Bioinformatics</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/computer-science/">Computer Science</a></li> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/cowles-foundation/">Cowles Foundation</a></li> </ul> <h2 class="letternav-head" id='D'><a name='D'>D</a></h2> <ul> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/">Degree-Granting Departments and Programs</a></li> <li><a href="/archive/2019-2020/gsas/policies-regulations/degree-requirements/">Degree Requirements</a></li> <li><a href="/archive/2019-2020/gsas/school-arts-sciences/directors-graduate-studies-dgs/">Directors of Graduate Studies (DGS)</a></li> </ul> <h2 class="letternav-head" id='E'><a name='E'>E</a></h2> <ul> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/east-asian-languages-literatures/">East Asian Languages and Literatures</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/east-asian-studies/">East Asian Studies</a></li> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/whitney-betty-macmillan-center-international-area-studies/east-asian-studies-council/">East Asian Studies, Council on</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/ecology-evolutionary-biology/">Ecology and Evolutionary Biology</a></li> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/economic-growth-center/">Economic Growth Center</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/economics/">Economics</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/electrical-engineering/">Electrical Engineering</a></li> <li><a href="/archive/2019-2020/gsas/financing/eligibility-fellowships/">Eligibility for Fellowships</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/engineering-applied-science/">Engineering & Applied Science</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/english-language-literature/">English Language and Literature</a></li> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/environmental-humanities/">Environmental Humanities</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/european-russian-studies/">European and Russian Studies</a></li> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/whitney-betty-macmillan-center-international-area-studies/european-studies-council/">European Studies Council</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/experimental-pathology/">Experimental Pathology</a></li> <li><a href="/archive/2019-2020/gsas/financing/external-fellowships-combined-award-policy/">External Fellowships and Combined Award Policy</a></li> </ul> <h2 class="letternav-head" id='F'><a name='F'>F</a></h2> <ul> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/film-media-studies/">Film and Media Studies</a></li> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/film-media-studies/">Film and Media Studies</a></li> <li><a href="/archive/2019-2020/gsas/financing/financial-aid/">Financial Aid</a></li> <li><a href="/archive/2019-2020/gsas/school-arts-sciences/financial-aid/">Financial Aid</a></li> <li><a href="/archive/2019-2020/gsas/financing/">Financing Graduate School</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/forestry-environmental-studies/">Forestry & Environmental Studies</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/french/">French</a></li> </ul> <h2 class="letternav-head" id='G'><a name='G'>G</a></h2> <ul> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/genetics/">Genetics</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/geology-geophysics/">Geology and Geophysics</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/germanic-languages-literatures/">Germanic Languages and Literatures</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/global-affairs/">Global Affairs</a></li> <li><a href="/archive/2019-2020/gsas/school-arts-sciences/graduate-professional-student-senate-gpss/">Graduate-Professional Student Senate (GPSS)</a></li> <li><a href="/archive/2019-2020/gsas/school-arts-sciences/">Graduate School of Arts and Sciences</a></li> <li><a href="/archive/2019-2020/gsas/school-arts-sciences/graduate-student-assembly-gsa/">Graduate Student Assembly (GSA)</a></li> <li><a href="/archive/2019-2020/gsas/school-arts-sciences/graduate-student-development-diversity/">Graduate Student Development and Diversity</a></li> </ul> <h2 class="letternav-head" id='H'><a name='H'>H</a></h2> <ul> <li><a href="/archive/2019-2020/gsas/yale-university-resources-services/health-services/">Health Services</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/history/">History</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/history-art/">History of Art</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/history-science-medicine/">History of Science and Medicine</a></li> </ul> <h2 class="letternav-head" id='I'><a name='I'>I</a></h2> <ul> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/immunobiology/">Immunobiology</a></li> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/institution-social-policy-studies/">Institution for Social and Policy Studies</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/interdepartmental-neuroscience-program/">Interdepartmental Neuroscience Program</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/international-development-economics/">International and Development Economics</a></li> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/international-security-studies/">International Security Studies</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/investigative-medicine/">Investigative Medicine</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/italian-language-literature/">Italian Language and Literature</a></li> </ul> <h2 class="letternav-head" id='J'><a name='J'>J</a></h2> <ul> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/jackson-institute-global-affairs/">Jackson Institute for Global Affairs</a></li> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/judaic-studies/">Judaic Studies</a></li> </ul> <h2 class="letternav-head" id='L'><a name='L'>L</a></h2> <ul> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/whitney-betty-macmillan-center-international-area-studies/latin-american--iberian-studies-council/">Latin American and Iberian Studies, Council on</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/law/">Law</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/linguistics/">Linguistics</a></li> <li><a href="/archive/2019-2020/gsas/yale-university-resources-services/living-accommodations/">Living Accommodations</a></li> </ul> <h2 class="letternav-head" id='M'><a name='M'>M</a></h2> <ul> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/whitney-betty-macmillan-center-international-area-studies/">MacMillan Center for International and Area Studies at Yale</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/management/">Management</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/mathematics/">Mathematics</a></li> <li><a href="/archive/2019-2020/gsas/school-arts-sciences/mcdougal-graduate-student-center/">McDougal Graduate Student Center</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/mechanical-engineering-materials-science/">Mechanical Engineering & Materials Science</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/medieval-studies/">Medieval Studies</a></li> <li><a href="/archive/2019-2020/gsas/">Message from the Dean</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/microbiology/">Microbiology</a></li> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/whitney-betty-macmillan-center-international-area-studies/middle-east-studies-council/">Middle East Studies, Council on</a></li> <li><a href="/archive/2019-2020/gsas/school-arts-sciences/mission-statement/">Mission Statement</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/molecular-biophysics-biochemistry/">Molecular Biophysics and Biochemistry</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/molecular-cellular-developmental-biology/">Molecular, Cellular, and Developmental Biology</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/music/">Music</a></li> </ul> <h2 class="letternav-head" id='N'><a name='N'>N</a></h2> <ul> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/near-eastern-languages-civilizations/">Near Eastern Languages and Civilizations</a></li> <li><a href="/archive/2019-2020/gsas/non-degree-granting-programs-councils-research-institutes/">Non-Degree-Granting Programs, Councils, and Research Institutes</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/nursing/">Nursing</a></li> </ul> <h2 class="letternav-head" id='O'><a name='O'>O</a></h2> <ul> <li><a href="/archive/2019-2020/gsas/yale-university-resources-services/office-international-students-scholars/">Office of International Students and Scholars</a></li> 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