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Mathematics PhD < Drexel University Catalog

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<a href="/graduate/">Graduate Catalog</a> &gt; <a href="/graduate/collegeofartsandsciences/">The College of Arts and Sciences</a> &gt; Mathematics PhD </p> <!--/htdig_noindex--> <h1 class="page-title">Mathematics PhD</h1> <nav id="tabs" aria-label="Page content tabs"> <script type="text/javascript"> //<![CDATA[ var defshow = "text"; var bodycontainer = "#body"; var validhashes = ",text,admissionrequirementstext,degreerequirementstext,programleveloutcomestext,"; if(window.location.hash.length) { var hash = cleanHash(window.location.hash); if(validhashes.indexOf("," + hash + ",") != -1) defshow = hash; } var ss = document.styleSheets; var workss = null; for(var i=0; i < ss.length; i++) { var currmedia = ""; if (typeof ss[i].media == "string") currmedia = ss[i].media else if (typeof ss[i].media == "object" && ss[i].media.mediaText) currmedia = ss[i].media.mediaText; if((currmedia == "screen" || currmedia == "all") && (ss[i].href.indexOf("/") == 0 || ss[i].href.indexOf(document.location.host) >= 0)) { workss = ss[i]; break; } } if(workss.insertRule) { workss.insertRule(".tab_content { display: none; }", workss.cssRules.length) workss.insertRule(".sectionheader { display: none; }", workss.cssRules.length) workss.insertRule("#" + defshow + "container { display: block; }", workss.cssRules.length) } else if(workss.addRule) { workss.addRule(".tab_content", "display: none"); workss.addRule(".sectionheader", "display: none"); workss.addRule("#" + defshow + "container", "display: block"); } //]]> </script> <ul class="clearfix"> <li id="texttab" class="first" role="presentation"><a href="#text" role="tab" aria-controls="textcontainer" onclick="return showSection('text');">About the Program</a></li> <li id="admissionrequirementstexttab" role="presentation"><a href="#" onclick="return showSection('admissionrequirementstext');" >Admission Requirements</a></li> <li id="degreerequirementstexttab" role="presentation"><a href="#" onclick="return showSection('degreerequirementstext');" >Degree Requirements</a></li> <li id="programleveloutcomestexttab" role="presentation"><a href="#" onclick="return showSection('programleveloutcomestext');" >Program Level Outcomes</a></li> <li id="facultytab"><a href="#faculty" role="tab" aria-controls="facultycontainer" onclick="return showSection('faculty');">Faculty</a></li> </ul></nav> <div style="clear: both;"></div> <div id="textcontainer" class="page_content tab_content" role="tabpanel" aria-labelledby="texttab"> <p><em>Major: </em><em>Mathematics</em><br/> <em><em>Degree Awarded: </em>Doctor of Philosophy (PhD)<br/> <em>Calendar Type: Quarter</em><br/> Minimum Required Credits: 90.0 <br/> Co-op Option<em>: None</em><br/> <em>Classification of Instructional Programs (CIP) code:</em> 27.0101<br/> <em>Standard Occupational Classification (SOC) code:</em> 15-2021; 15-2041</em></p> <h2>About the Program</h2> <p><span class="tccopy">The Department of Mathematics is a broadly based academic unit offering instructional programs and carrying on research activities in mathematics. </span></p> <p><span class="tccopy">Areas of research specialty among the faculty include applied mathematics, algebraic combinatorics, biomathematics, discrete mathematics, optics, analysis, number theory, numerical analysis, probability and statistics, matrix and operator theory, fluid mechanics and partial differential equations.</span></p> <h3><span class="tccopy">Additional Information</span></h3> <p>For more information about these graduate programs, visit <a href="http://drexel.edu/coas/academics/graduate-programs/mathematics/" target="_blank">Department of Mathematics</a> website.</p> </div> <div id="admissionrequirementstextcontainer" class="page_content tab_content" role="tabpanel" aria-labelledby="admissionrequirementstexttab" > <a name="admissionrequirementstext"></a><h2>Admission Requirements</h2> <p><span class="tccopy">Applicants should hold a BS degree in mathematics or the equivalent and meet the University's graduate admission standards. In particular, the student should have had intensive exposure to proof oriented courses, such as real analysis and abstract algebra. </span><span class="tccopy">Because many of the core courses are two- or three-term sequences beginning in the fall, new students are typically admitted to the programs only in the fall term. </span></p> <p>For additional information on how to apply, visit Drexel University's <a href="http://www.drexel.edu/grad/programs/coas/mathematics/" target="_blank">Graduate Admissions</a> website.</p> </div> <div id="degreerequirementstextcontainer" class="page_content tab_content" role="tabpanel" aria-labelledby="degreerequirementstexttab" > <a name="degreerequirementstext"></a><h2>Degree Requirements</h2> <p>Students must complete a minimum of 45 graduate credits for the PhD degree, in addition to the 45.0 required by the MS program for a total of 90.0 credits. Of the 45.0 credits of MS program courses,  the following six are required:</p> <table class="sc_courselist" width="100%"><colgroup><col class="codecol"/><col class="titlecol"/><col align="char" char="." class="hourscol"/></colgroup><tbody><tr class="even areaheader firstrow"><td colspan="2"><span class="courselistcomment areaheader">Required Courses</span></td><td class="hourscol"></td></tr> <tr class="odd"><td class="codecol"><a href="/search/?P=MATH%20504" title="MATH 504" class="bubblelink code" onclick="return showCourse(this, 'MATH 504');">MATH 504</a></td><td>Linear Algebra &amp; Matrix Analysis</td><td class="hourscol">3.0</td></tr> <tr class="even"><td class="codecol"><a href="/search/?P=MATH%20505" title="MATH 505" class="bubblelink code" onclick="return showCourse(this, 'MATH 505');">MATH 505</a></td><td>Principles of Analysis I</td><td class="hourscol">3.0</td></tr> <tr class="odd"><td class="codecol"><a href="/search/?P=MATH%20506" title="MATH 506" class="bubblelink code" onclick="return showCourse(this, 'MATH 506');">MATH 506</a></td><td>Principles of Analysis II</td><td class="hourscol">3.0</td></tr> <tr class="even"><td class="codecol"><a href="/search/?P=MATH%20533" title="MATH 533" class="bubblelink code" onclick="return showCourse(this, 'MATH 533');">MATH 533</a></td><td>Abstract Algebra I</td><td class="hourscol">3.0</td></tr> <tr class="odd"><td class="codecol"><a href="/search/?P=MATH%20630" title="MATH 630" class="bubblelink code" onclick="return showCourse(this, 'MATH 630');">MATH 630</a></td><td>Complex Variables I</td><td class="hourscol">3.0</td></tr> <tr class="even lastrow"><td class="codecol"><a href="/search/?P=MATH%20633" title="MATH 633" class="bubblelink code" onclick="return showCourse(this, 'MATH 633');">MATH 633</a></td><td>Real Variables I</td><td class="hourscol">3.0</td></tr> </tbody></table> <br/> <p>The remaining 27.0 credits, comprising the MS segment of the PhD program, may be any graduate mathematics courses. In some cases, course substitutions may be made with courses from other departments. Elective courses taken outside the department must receive prior departmental approval in order to be counted toward the degree.</p> <p>The student must pass a written qualifying exam. The student is allowed two attempts. Students must take exam at the end of their first year, and have a second opportunity in September of their second year.</p> <p>Students must take a PhD candidacy exam at the end of their second year. Additional coursework to reach the 90.0 credits required  for the PhD will be agreed upon with the student's graduate advisor. Students should note that some departmental courses are foundation courses and do not contribute to the departmental requirements for the degree. They do count toward the University requirements for a degree.</p> </div> <div id="programleveloutcomestextcontainer" class="page_content tab_content" role="tabpanel" aria-labelledby="programleveloutcomestexttab" > <a name="programleveloutcomestext"></a><h2>Program Level Outcomes</h2> <div class="simple-accordion__body"> <ul> <li>Develop a thorough understanding through a range of fundamental graduate level topics in both required courses in analysis and algebra and in elective courses in core and applied mathematics</li> <li>Develop in-depth expertise through advanced graduate courses, participation in research seminar, and thesis research</li> <li>Develop the ability to work creatively and independently.</li> <li>Critically evaluate research articles in mathematics.</li> <li>Communicate sophisticated mathematics effectively at a professional level both in writing and in oral presentations.</li> </ul> </div> </div> <div id="facultycontainer" class="page_content tab_content" role="tabpanel" aria-labelledby="facultytab" > <h2>Mathematics Faculty</h2> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/DavidAmbrose/">David M. Ambrose, PhD</a> <i>(Duke University)</i> <i>Associate Department Head, Mathematics</i>. Professor. Applied analysis and computing for systems of nonlinear partial differential equations, especially free-surface problems in fluid dynamics.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/aran-jason/">Jason Aran, MS</a> <i>(Drexel University)</i> <i>Associate Department Head</i>. Associate Teaching Professor.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/JonahBlasiak/">Jonah D. Blasiak, PhD</a> <i>(University of California at Berkeley)</i>. Associate Professor. Algebraic combinatorics, representation theory, and complexity theory. </div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/bobo-patricia/">Patricia Bobo, ASA</a> <i>(Temple University)</i>. Assistant Teaching Professor.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/carreon-fernando/">Fernando Carreon, PhD</a> <i>(University of Texas at Austin)</i>. Teaching Professor.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/DarylFalco/">Daryl Falco, MS</a> <i>(Drexel University)</i>. Associate Teaching Professor. Discrete mathematics and automata theory.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/RaymondFavocci/">Raymond Favocci, MS</a> <i>(Drexel University)</i>. Associate Teaching Professor.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/grinberg-darij/">Darij Grinberg, PhD</a> <i>(Massachusetts Institute of Technology)</i>. Assistant Professor. Algebraic Combinatorics, Noncommutative Algebra, Symmetric Functions, Hopf Algebras, Enumerative Combinatorics, Invariant Theory</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/Pavel-Grinfeld/">Pavel Grinfeld, PhD</a> <i>(Massachusetts Institute of Technology)</i>. Associate Professor. Intersection of physics, engineering, applied mathematics and computational science.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/Anatolii-Grinshpan/">Anatolii Grinshpan, PhD</a> <i>(University of California at Berkeley)</i>. Associate Teaching Professor. Function theory and operator theory, harmonic analysis, matrix theory.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/Yixin-Guo/">Yixin Guo, PhD</a> <i>(University of Pittsburgh)</i>. Associate Professor. Biomathematics, dynamical systems, ordinary and partial differential equations and math education.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/AndrewHicks/">R. Andrew Hicks, PhD</a> <i>(University of Pennsylvania)</i> <i>Undergraduate Advisor</i>. Professor. Geometry; optics; computer vision.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/PawelHitczenko/">Pawel Hitczenko, PhD</a> <i>(Warsaw University)</i>. Professor. Probability theory and its applications to analysis, combinatorics, wavelets, and the analysis of algorithms.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/lacomb-jeffrey/">Jeffrey LaComb, PhD</a> <i>(Duke University)</i>. Assistant Teaching Professor. Rare Event Simulation, Dynamical Systems, Numerical Analysis and Mathematical Biology</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/GeorgiMedvedev/">Georgi S. Medvedev, PhD</a> <i>(Boston University)</i>. Professor. Ordinary and partial differential equations, mathematical neuroscience.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/mondaini-cecilia/">Cecilia Mondaini, PhD</a> <i>(Federal University of Rio de Janeiro)</i>. Assistant Professor. Analysis of Partial Differential Equations, Fluid Dynamics, Stochastic Processes</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/ShariMoskow/">Shari Moskow, PhD</a> <i>(Rutgers University)</i>. Professor. Partial differential equations and numerical analysis, including homogenization theory, numerical methods for problems with rough coefficients, and inverse problems.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/OksanaOdintsova/">Oksana P. Odintsova, PhD</a> <i>(Omsk State University)</i>. Teaching Professor. Math education; geometrical modeling.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/DimitriosPapadopoulos/">Dimitrios Papadopoulos, MS</a> <i>(Drexel University)</i>. Assistant Teaching Professor.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/pereira-joel/">Joel Pereira, PhD</a> <i>(University of North Carolina)</i>. Assistant Teaching Professor. Commutative Algebra</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/RonaldPerline/">Ronald K. Perline, PhD</a> <i>(University of California at Berkeley)</i>. Associate Professor. Applied mathematics, numerical analysis, symbolic computation, differential geometry, mathematical physics.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/rickert-adam/">Adam C. Rickert, MS</a> <i>(Drexel University)</i>. Associate Teaching Professor.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/EricSchmutz/">Eric Schmutz, PhD</a> <i>(University of Pennsylvania)</i>. Professor. Probabilistic combinatorics, asymptotic enumeration.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/LiSheng/">Li Sheng, PhD</a> <i>(Rutgers University)</i>. Associate Professor. Discrete optimization, combinatorics, operations research, graph theory and its application in molecular biology, social sciences and communication networks, biostatistics.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/GideonSimpson/">Gideon Simpson, PhD</a> <i>(Columbia University)</i>. Associate Professor. Partial differential equations, scientific computing and applied mathematics.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/song-xiaoming/">Xiaoming Song, PhD</a> <i>(University of Kansas)</i>. Associate Professor. Stochastic Calculus, Large Deviation Theory, Theoretical Statistics, Data Network Modeling and Numerical Analysis.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/steuber-jeanne/">Jeanne M. Steuber, MS</a> <i>(Boston University)</i>. Associate Teaching Professor.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/virbhadra-k-shwetketu/">K. Shwetketu Virbhadra, PhD</a> <i>(Physical Research Laboratory)</i>. Instructor.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/white-richard/">Richard D. White, MS</a> <i>(Penn State University)</i>. Assistant Teaching Professor.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/HugoWoerdeman/">Hugo J. Woerdeman, PhD</a> <i>(Vrije Universiteit, Amsterdam)</i>. Professor. Matrix and operator theory, systems theory, signal and image processing, and harmonic analysis.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/DouglasWright/">J. Douglas Wright, PhD</a> <i>(Boston University)</i> <i>Department Head</i>. Professor. Partial and lattice differential equations, specifically nonlinear waves and their interactions.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/DennisYang/">Dennis G. Yang, PhD</a> <i>(Cornell University)</i>. Associate Teaching Professor. Dynamical systems, neurodynamics.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/ThomasYu/">Thomas (Pok-Yin) Yu, PhD</a> <i>(Stanford University)</i>. Professor. Multiscale mathematics, wavelets, applied harmonic analysis, subdivision algorithms, nonlinear analysis, applied differential geometry and data analysis.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/mathematics/ziemke-matthew/">Matthew Ziemke, PhD</a> <i>(University of South Carolina)</i>. Assistant Teaching Professor. Functional Analysis, Operator Algebras, Semigroups, Mathematical Physics</div> <h2>Emeritus Faculty</h2><div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/anton-howard/">Howard Anton, PhD</a> <i>(Polytechnic Institute of Brooklyn)</i>. Professor Emeritus.</div> <div class="facitem">Loren N. Argabright, PhD <i>(University of Washington)</i>. Professor Emeritus. Functional analysis, wavelets, abstract harmonic analysis, the theory of group representations. </div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/Robert-Boyer/">Robert P. Boyer, PhD</a> <i>(University of Pennsylvania)</i>. Professor Emeritus. Functional analysis, C*-algebras and the theory of group.</div> <div class="facitem">Robert C. Busby, PhD <i>(University of Pennsylvania)</i>. Professor Emeritus. Functional analysis, C*-algebras and group representations, computer science.</div> <div class="facitem">Ewaugh Finney Fields, EdD <i>(Temple University)</i> <i>Dean Emeritus</i>. Professor Emeritus. Mathematics education, curriculum and instruction, minority engineering education.</div> <div class="facitem">William M.Y. Goh, PhD <i>(Ohio State University)</i>. Associate Professor Emeritus. Number theory, approximation theory and special functions, combinatorics, asymptotic analysis.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/PatriciaHenryRussell/">Patricia Henry Russell, MS</a> <i>(Drexel University)</i>. Teaching Professor Emerita.</div> <div class="facitem">Bernard Kolman, PhD <i>(University of Pennsylvania)</i>. Professor Emeritus. Lie algebras; theory, applications, and computational techniques; operations research.</div> <div class="facitem">Charles J. Mode, PhD <i>(University of California at Davis)</i>. Professor Emeritus. Probability and statistics, biostatistics, epidemiology, mathematical demography, data analysis, computer-intensive methods.</div> <div class="facitem"><a href="https://drexel.edu/coas/faculty-research/faculty-directory/marciperlstadt/">Marci A. Perlstadt, PhD</a> <i>(University of California at Berkeley)</i>. Associate Professor Emerita. Applied mathematics, computed tomography, numerical analysis of function reconstruction, signal processing, combinatorics. </div> <div class="facitem">Chris Rorres, PhD <i>(Courant Institute, New York University)</i>. Professor Emeritus. Applied mathematics, scattering theory, mathematical modeling in biological sciences, solar-collection systems.</div> <div class="facitem">Justin R. Smith, PhD <i>(Courant Institute, New York University)</i>. Professor Emeritus. Homotopy theory, operad theory, quantum mechanics, quantum computing.</div> <div class="facitem">Jet Wimp, PhD <i>(University of Edinburgh)</i>. Professor Emeritus. Applied mathematics, special factors, approximation theory, numerical techniques, asymptotic analysis.</div> </div> </div> </div> <!-- /column_1 --> <!-- /MAIN CONTENT AREA --> <!-- SIDEBAR --> <div id="column_2"> <!--htdig_noindex--> <div id="sidebar"> <form method="get" action="/search/" id="search-form"> <label for="search-input" class="sr-only">Search catalog</label> <input type="text" id="search-input" name="P" size="20" maxlength="256" value="" /> <!-- <input type="submit" align="middle" value="Search" id="search-submit" /> --> <button id="search-submit" type="submit"> Search </button> </form> </div> <ul class="sidebarmain"> <li> <a href="http://drexel.edu/webtms" target="_blank"> <div><span>Term Master Schedule WebTMS</span></div> </a> </li> <li> <a href="/coursedescriptions/" target="_blank"> <div><span>All Course Descriptions</span></div> </a> </li> <li> <a href="/undergraduate/coop/" target="_blank"> <div><span>Co-op</span></div> </a> </li> <li> <a href="https://drexel.edu/studentlife/student-success/academic-resource-center/advising/advisors" target="_blank"> <div><span>Advising</span></div> </a> </li> <li> <a href="https://drexel.edu/admissions/" target="_blank"> <div><span>Admissions</span></div> </a> </li> <li> <a href="/undergraduate/tuitionandfees/" target="_blank"> <div><span>Tuition &amp; Fees</span></div> </a> </li> </ul> <div class="separator"></div> <strong>LEARN MORE</strong> <ul class="sidebarsub"> <li><a href="https://drexel.edu/" target="_blank">Drexel Home</a></li> <li><a href="/aboutdrexel/">About Drexel</a></li> <li><a href="/accreditation/">Accreditation</a></li> <li><a href="https://drexel.edu/provost/policies-calendars/policies" target="_blank">Academic Policies</a></li> <li><a href="/catalogcontents/">Site Map</a></li> </ul> <div class="separator" style="margin: 15px 0;"></div> </div> <!-- /column_2 --> <!-- /SIDEBAR --> <!--/htdig_noindex--> <div class="clear"></div> <!-- /content_left --> <!--htdig_noindex--> <div id="footer"> <div class="left"> <strong><a href="/">Drexel University</a></strong><br />Copyright 2024 All rights reserved.<br />Updated April 2024</div> <div class="right">3141 Chestnut Street, Philadelphia, PA 19104<br /><a href="mailto:catalog@drexel.edu">catalog@drexel.edu</a> &bull; 215.895.2000</div> </div> <!--/htdig_noindex--> </div> <!-- /content --> </div> <!-- /content_wrapper --> </div> <!-- /wrapper --> <!-- CUSTOM BUBBLE DIVS--> <div id="writingintensive" style="display: none;"> <h3>Writing-intensive Requirements</h3> <p>In order to graduate, all students must pass three writing-intensive courses after their freshman year. Two writing-intensive courses must be in a student's major. The third can be in any discipline. Students are advised to take one writing-intensive class each year, beginning with the sophomore year, and to avoid “clustering” these courses near the end of their matriculation. Transfer students need to meet with an academic advisor to review the number of writing-intensive courses required to graduate.</p> <p>For additional information, and an up-to-date list of the writing-intensive courses being offered, students should check the Drexel University Writing Center page</p> </div> <!-- CLOSE CUSTOM BUBBLE DIVS --> </body> </html>

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