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<!doctype html> <html xml:lang="en" lang="en" dir="ltr"> <head> <title>Degree-Granting Departments and Programs < 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">Degree-Granting Departments and Programs</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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<li class="active self"><a href="#" onclick="return false;">Degree-Granting Departments and Programs</a> <ul class="nav leveltwo" id="/gsas/degree-granting-departments-programs/"> <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/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/degree-granting-departments-programs/architecture/">Architecture</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/astronomy/">Astronomy</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/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/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/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/degree-granting-departments-programs/ecology-evolutionary-biology/">Ecology and Evolutionary Biology</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/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/degree-granting-departments-programs/european-russian-studies/">European and Russian Studies</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/degree-granting-departments-programs/film-media-studies/">Film and Media Studies</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> <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/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> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/immunobiology/">Immunobiology</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/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> <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/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/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/degree-granting-departments-programs/microbiology/">Microbiology</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> <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/degree-granting-departments-programs/nursing/">Nursing</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/pharmacology/">Pharmacology</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/philosophy/">Philosophy</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/physics/">Physics</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/political-science/">Political Science</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/psychology/">Psychology</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/public-health/">Public Health</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/religious-studies/">Religious Studies</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/renaissance-studies/">Renaissance Studies</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/slavic-languages-literatures/">Slavic Languages and Literatures</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/sociology/">Sociology</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/spanish-portuguese/">Spanish and Portuguese</a></li> <li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/statistics/">Statistics and Data Science</a></li> </ul> </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/policies-regulations/">Policies and Regulations</a></li> <li><a href="/archive/2019-2020/gsas/financing/">Financing Graduate School</a></li> <li><a href="/archive/2019-2020/gsas/yale-university-resources-services/">Yale University Resources and Services</a></li> <li><a href="/archive/2019-2020/gsas/work-yale-university/">The Work of Yale University</a></li> <li><a href="http://map.yale.edu/">Campus Map</a></li> <li><a href="/archive/2019-2020/gsas/policy-statements/">Yale University Policy Statements</a></li> <li><a href="/archive/2019-2020/gsas/publication-data/">Publication Data</a></li> </ul> </nav>  </div> <div id="content-col"> <div id="content" role="main"> <div class="archive-message"> <p> This is an archived copy of the 2019–2020 Bulletin. 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>Degree-Granting Departments and Programs</h1> <div id="textcontainer" class="tab_content"> <p class="_-regular-text">This section provides information on all degree-granting departments and programs of the Graduate School of Arts and Sciences. Each listing provides a roster of faculty, special admissions and degree requirements, and course offerings for that department or program. The requirements appearing in the <em><span class="_a-text--italic">Graduate School of Arts and Sciences</span> <span class="_a-text--italic">Programs and Policies</span></em> take precedence over any statements published separately by individual departments and programs.</p> <p class="_-regular-text">The degree requirements of the Graduate School itself appear later in this publication, under <a href="/archive/2019-2020/gsas/policies-regulations/">Policies and Regulations</a>. These apply to all students in the Graduate School, although there are variations in the pattern of their fulfillment in individual departments and programs. The requirements of the Graduate School may change from time to time. If a requirement changes within the period normally required for completion of a student’s course of study, the student will normally be given the choice of completing either the new or the old requirement.</p> <p class="_-regular-text">The requirements of individual departments also may change from time to time, with the approval of the Graduate School. After such approval has officially been given, students in that department or program will receive written notification. All changes in departmental degree requirements occurring after the publication closing date of the <em><span class="_a-text--italic">Graduate School of Arts and Sciences Programs and Policies</span></em> bulletin are posted on the departments’ websites. General changes to degree requirements will be posted on the <a href="http://gsas.yale.edu" target="_blank">Graduate School’s website</a>.</p> <p class="_-regular-text">The course listings and instructors reflect information received by the registrar as of the publication date and are subject to change without notice. Students are advised to consult <a href="https://courses.yale.edu" target="_blank">https://courses.yale.edu</a> for the most recent information.</p> <p class="_-regular-text">Fall-term courses are indicated by the letter “a,” spring-term courses by the letter “b”; summer courses are indicated by the letter “c.” A course designated “a or b” is the same course given in both terms. Yearlong courses list both “a” and “b.” Courses in brackets are not offered during the current academic year.</p> <div class="notinpdf"> <div class="sitemap"><ul><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/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/degree-granting-departments-programs/architecture/">Architecture</a></li><li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/astronomy/">Astronomy</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/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/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/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/degree-granting-departments-programs/ecology-evolutionary-biology/">Ecology and Evolutionary Biology</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/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/degree-granting-departments-programs/european-russian-studies/">European and Russian Studies</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/degree-granting-departments-programs/film-media-studies/">Film and Media Studies</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><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/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><li><a href="/archive/2019-2020/gsas/degree-granting-departments-programs/immunobiology/">Immunobiology</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/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><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 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