{"id":1519,"date":"2014-08-04T14:36:27","date_gmt":"2014-08-04T18:36:27","guid":{"rendered":"http:\/\/math.cos.ucf.edu\/wp\/?page_id=127"},"modified":"2025-05-07T16:08:44","modified_gmt":"2025-05-07T20:08:44","slug":"graduate-courses","status":"publish","type":"page","link":"https:\/\/sciences.ucf.edu\/math\/graduate\/graduate-courses\/","title":{"rendered":"Graduate Courses"},"content":{"rendered":"<p class=\"lead\">The UCF Math graduate program offers about 12 graduate courses per spring\/fall semester.\u00a0 Its graduate courses have 6 Prefixes: MAA (Mathamatics: Analysis); \u00a0MAD (Mathematics: Discrete); MAE (Mathematics Education); MAP (Mathematics: Applied); \u00a0MAS (Mathematics: Algebraic Structures); MAT (Mathematics); MTG (Mathematics: Topology and Geometry). To understand course information about course prefix and number, visit\u00a0 <a href=\"https:\/\/flscns.fldoe.org\/\">Florida&#8217;s statewide course numbering system<\/a> or <a href=\"https:\/\/catalog.ucf.edu\/content.php?catoid=4&amp;navoid=198\">ucf catalog.<\/a><\/p>\n<p>Explore\u00a0<a href=\"http:\/\/www.graduatecatalog.ucf.edu\/content\/Courseslist.aspx?Department=MATH\">Math Graduate Courses at UCF<\/a>\u00a0for updated and detailed information about graduate courses offered by the program. If you do not see your courses listed, search among the <a href=\"http:\/\/www.graduatecatalog.ucf.edu\/content\/Courses.aspx\">graduate courses<\/a>\u00a0and the <a href=\"http:\/\/catalog.ucf.edu\/index.php?catoid=3\">undergraduate courses<\/a>, or contact the graduate program coordinator.<\/p>\n<p>The following is a list of graduate courses offered in the last few years. Information in the round bracket following the course number is the semester offered and abbreviation of instructors. The first two digit is the year, the next two digits are the semester (01 for spring semester, 05 for summer semester and 08 for fall semester), and the last two letters are the first letter of instructor\u2019s first and last name, and different instructors may have the same abbreviation. For the courses planned to offer, the semester information after the course number is in color. <\/p>\n<ul>\n<li>MAA 5210: Topics in Advanced Calculus\u00a0 (1301XL; 1308DD; 1401DD; 1501DD; 1508JL;1601ZL, 1801VS, 1808DD, 1908ALG, 2008ALG, 2108AT, 2208DD, 2308AT,\u00a0 <span style=\"font-size: 1rem\"><span style=\"color: #ff00ff\">2408<\/span><\/span>)<\/li>\n<li>MAA 5228: Analysis I\u00a0(1308XL; 1408JY; 1508PM;1608JY,1708PM, 1808JY, 1908JY, 2008DD)<\/li>\n<li>MAA 5237 Mathematical Analysis (2108JY, 2208JY, 2308DD, <span style=\"font-size: 1rem\"><span style=\"color: #ff00ff\">2408<\/span><\/span>)<\/li>\n<li>MAA 6229: Analysis II<span style=\"font-size: 1rem\"> (1301DD; 1401XL; 1501JY; 1601PM; 1701JY, 1801PM)<\/span><\/li>\n<li>MAA 6238: Measure and Probability I<span style=\"font-size: 1rem\"> (1408JS;1508JS; 1608JS, 1808JS, 2008JS, <span style=\"color: #000000\">2201JS, <span style=\"color: #ff00ff\"><span style=\"color: #00ff00\">2501<\/span><\/span> <\/span>)<\/span><\/li>\n<li>MAA 6245: Measure and Probability II<span style=\"font-size: 1rem\"> (1601JS; 1701JS, 1901JS, 2101JS<\/span><span style=\"font-size: 1rem\">)<\/span><\/li>\n<li>MAA 6306: Real Analysis<span style=\"font-size: 1rem\"> (1308PM; 1408DD; 1608PM, 1901JY, 2001JY, 2101JY, <span style=\"color: #ff00ff\"><span style=\"color: #000000\">2201JY, 2301MI, 2401 (DH), <span style=\"color: #ff00ff\">\u00a0<span style=\"color: #00ff00\">2501<\/span><\/span><\/span><\/span><\/span><span style=\"font-size: 1rem\">)<\/span><\/li>\n<li>MAA 6404: Complex Analysis<span style=\"font-size: 1rem\"> (1308AT; 1408RM; 1508AT;1608AT, 1801OT, 1908AT, 2008RJ, 2208ET, <span style=\"color: #ff00ff\">2408<\/span><\/span><span style=\"font-size: 1rem\">)<\/span><\/li>\n<li>MAA 6405: Complex Variables<span style=\"font-size: 1rem\">\u00a0(1301DD, 1401RM; 1501GB; 1601DD, <\/span>1708AT<span style=\"font-size: 1rem\">, 1901MI, 2001RJ, <\/span><span style=\"color: #000000\">2201MI, 2401(AT)<\/span><span style=\"font-size: 1rem\">)<\/span><\/li>\n<li>MAA 6416: Topology<span style=\"font-size: 1rem\">\u00a0(1308JL; 1508GR, <\/span>1708BG, <span style=\"font-size: 1rem\">\u00a02001JL, <span style=\"color: #000000\">2201JL, 2308ET<\/span>)<\/span><\/li>\n<li>MAA 6506: Functional Analysis<span style=\"font-size: 1rem\"> (1301DH; 1401DH, 1501MI;1701ZL; 1801MI, 1908DH, <\/span><span style=\"font-size: 1rem\">2108DH, 2308DH,\u00a0 <span style=\"color: #ff0000\">2508<\/span><\/span><span style=\"font-size: 1rem\">)<\/span><\/li>\n<li>MAA 6508: Hilbert Spaces with Applications<span style=\"font-size: 1rem\"> (1405ZN; 1505ZN; 1605JL\/PM, 1705ET, 1901ZN, 2001PM, 2301DD, <span style=\"color: #ff00ff\">2408<\/span>)<\/span><\/li>\n<li>MAA 6531:\u00a0 Analysis of Manifolds<\/li>\n<li>MAA 6938: Special Topics: Q-series (1401MI; 1701MI)<\/li>\n<li>MAA 6938: Special Topics: Analytic Number Theory (1601MI)<\/li>\n<li>MAA 6938: Special Topics: Mathematical Foundation of Machine Learning (1808CM)<\/li>\n<li>MAA 7239: Asymptotic Methods in Mathematical Statistics<span style=\"font-size: 1rem\">\u00a0(1608MP, <\/span>1708MP, <span style=\"font-size: 1rem\">1908MP, 2101MP, 2208MP, 2401MP<\/span><span style=\"font-size: 1rem\">)<\/span><\/li>\n<li>MAD 5205: Graph Theory I<span style=\"font-size: 1rem\"> (1308YZ; 1408ZS;1508ZS, 1708ZS, 1908YZ, 2008ZS, 2208ZS, <span style=\"color: #ff00ff\">2408<\/span>)<\/span><\/li>\n<li>MAD 6309: Graph Theory II<span style=\"font-size: 1rem\"> (1401ZS; 1501ZS; 1601ZS, 1801ZS, 2101ZS, <span style=\"color: #ff00ff\"><span style=\"color: #000000\"><span style=\"color: #00ff00\">2501<\/span><\/span><\/span>)<\/span><\/li>\n<li>MAE 5935: Post-Secondary Mathematics<span style=\"font-size: 1rem\"> (1805MC\/LDP, 1905MC\/LDP, 2005RM\/LDP, 2401(HE),<span style=\"color: #ff00ff\"><span style=\"color: #000000\"><span style=\"color: #00ff00\">2501<\/span><\/span><\/span>)<\/span><\/li>\n<li>MAP 5117: Mathematical Modeling<span style=\"font-size: 1rem\">\u00a0(1308RM; 1508RM, <\/span>1708BM, 2101ZS, 2301RM, <span style=\"font-size: 1rem\"><span style=\"color: #ff00ff\"><span style=\"color: #000000\"><span style=\"color: #00ff00\">2501<\/span><\/span><\/span><\/span><span style=\"font-size: 1rem\">)<\/span><\/li>\n<li>MAP 5336: Ordinary Differential Equations and Applications<span style=\"font-size: 1rem\"> (1301RC; 1401AT; 1501AT; 1601YQ; 1701YQ, 1801AT, 1908RC, <\/span>2105RC,\u00a0 2301AT<span style=\"font-size: 1rem\">, <span style=\"color: #ff0000\"><span style=\"color: #ff00ff\"><span style=\"color: #000000\"><span style=\"color: #00ff00\">2501)<\/span><\/span><\/span><\/span><\/span><\/li>\n<li>MAP 5426: Special Functions<span style=\"font-size: 1rem\"> (1305 DR\/RM; 1505RM; 1605RM, 1705RM, 1805RM, 2205QS, 2305ALG)<\/span><\/li>\n<li>MAP 5435: Advanced Mathematics for Engineers<span style=\"font-size: 1rem\"> (1305RM; 1405RM, 1705HM, 1905JL, 2005AN, 2105AN, <span style=\"color: #000000\">2205AN, 2305AN, <span style=\"color: #ff0000\">2505<\/span><\/span>)<\/span><\/li>\n<li>MAP 5514: Linear and Nonlinear Waves I<span style=\"font-size: 1rem\"> (1501DK). Deleted in the catalog from Fall 2021.<\/span><\/li>\n<li>MAP 5606: Differential Equations for Financial Mathematics<span style=\"font-size: 1rem\">\u00a0 \u00a0(1808ZS, 2101YL, 2208YL, 2401YL)<\/span><\/li>\n<li>MAP 5612:\u00a0 Computational Methods for Financial Mathematics I<span style=\"font-size: 1rem\">\u00a0 (2001YL, 2108YL, 2301YL, <span style=\"color: #ff00ff\">2408<\/span>)<\/span><\/li>\n<li>MAP 5641: Financial Mathematics I <span style=\"font-size: 1rem\">(1908CK, 2101CK, 2208CK, 2401CK)<\/span><\/li>\n<li>MAP 5931: Research Seminar<\/li>\n<li>MAP 5931: Proseminar for Financial Mathematics \u00a0<span style=\"font-size: 1rem\">(2001JY, <span style=\"color: #000000\">2201JY, 2401JY<\/span>)<\/span><\/li>\n<li>MAP 5933: Seminar in Financial Mathematics (2008JY, 2208JY, <span style=\"font-size: 1rem\"><span style=\"color: #ff00ff\">2408<\/span><\/span>)<\/li>\n<li>MAP 6111: Mathematical Statistics<span style=\"font-size: 1rem\"> (1308GR; 1501MP;1601MP; 1701MP, 1901MP, 2001MP, 2108MP, 2301MP,\u00a0 <\/span><span style=\"font-size: 1rem\"><span style=\"color: #ff00ff\">2408<\/span><\/span><span style=\"font-size: 1rem\">)<\/span><\/li>\n<li>MAP 6118: Introduction to Nonlinear Dynamics<\/a><span style=\"font-size: 1rem\">\u00a0(1308RC, <\/span>1708RC<span style=\"font-size: 1rem\">, 2001RC)<\/span><\/li>\n<li>MAP 6168: Mathematical Modeling II (2108ZS)<\/li>\n<li>MAP 6197: \u00a0Mathematical Introduction to Deep Learning (2108GW, 2301GW, <span style=\"font-size: 1rem\"><span style=\"color: #ff00ff\">2408<\/span><\/span>)<\/li>\n<li>MAP 6195: Mathematical Foundations for Massive Data Modeling and Analysis<span style=\"font-size: 1rem\"> (1901TZ, 2001TZ, 2208GW, 2401TZ, <span style=\"color: #ff00ff\"><span style=\"color: #000000\"><span style=\"color: #00ff00\">2501<\/span><\/span><\/span> )<\/span><\/li>\n<li>MAP 6207: Optimization Theory<span style=\"font-size: 1rem\"> (1501ZN; 1601JY; 1701TZ, 1908QS, 2008QS, 2108QS, 2308JY, <span style=\"color: #ff00ff\"><span style=\"color: #000000\"><span style=\"color: #00ff00\">2501<\/span><\/span><\/span>)<\/span><\/li>\n<li>MAP 6218: Stochastic Calculus<span style=\"font-size: 1rem\">\u00a0(<\/span>1708JY, <span style=\"font-size: 1rem\">2108JS<\/span><span style=\"font-size: 1rem\">)<\/span><\/li>\n<li>MAP 6356: Partial Differential Equations<span style=\"font-size: 1rem\">\u00a0(1308AT; 1408AT; 1508YQ;1608RC;\u00a0<\/span>1708ET<span style=\"font-size: 1rem\">, 1808GW, 2001YQ, <span style=\"color: #000000\">2201ET, 2401YQ<\/span>)<\/span><\/li>\n<li>MAP 6383: Mathematical Methods for Image Analysis. Deleted in the catalog from Fall 2021.<\/li>\n<li>MAP 6385: Applied Numerical Mathematics<span style=\"font-size: 1rem\"> (1301BM; 1401BM; 1501QS; 1601ZN; 1701BM, 1801TZ, 1901CB, 2001CB, 2101GW, <span style=\"color: #000000\">2201CB,\u00a0 2301CS, 2401GR, <span style=\"color: #ff00ff\"><span style=\"color: #00ff00\">2501<\/span><\/span><\/span>)<\/span><\/li>\n<li>MAP 6387 Numerical Linear Algebra (2208CB, <span style=\"font-size: 1rem\"><span style=\"color: #ff00ff\">2408<\/span><\/span>)<\/li>\n<li>MAP 6398: Multivariate Splines and Surface Fitting<\/li>\n<li>MAP 6407: Integral Equations and the Calculus of Variations<span style=\"font-size: 1rem\">\u00a0(1408DK; 1508ZN; 1608ZN, <\/span>1708BS, 2108MI<span style=\"font-size: 1rem\">)<\/span><\/li>\n<li>MAP 6408: Perturbations and Asymptotic Methods<span style=\"font-size: 1rem\"> (1301DR; 1501DR; 1601KV; 1701KV)<\/span><\/li>\n<li>MAP 6416: Applied and Computational Harmonic Analysis<span style=\"font-size: 1rem\"> (1608QS, 2001QS,<span style=\"color: #000000\"> 2201QS, 2401QS<\/span>)<\/span><\/li>\n<li>MAP 6419: Advanced Transform Methods<span style=\"font-size: 1rem\"> (1601AT)<\/span><\/li>\n<li>MAP 6420: Generalized Functions<\/li>\n<li>MAP 6421: Integral Equations<span style=\"font-size: 1rem\"> (1801ZN)<\/span><\/li>\n<li>MAP 6424: Transform Methods<span style=\"font-size: 1rem\"> (1401AT; 1501AK; 1608AT, 1808AT)<\/span><\/li>\n<li>MAP 6438: Mathematical Fluid-Flow Theory I<span style=\"font-size: 1rem\"> (1608SS)<\/span><\/li>\n<li>MAP 6445: Approximation Techniques<span style=\"font-size: 1rem\">\u00a0(<\/span>1708RM<span style=\"font-size: 1rem\">, 1901QS, 2101QS, 2301QS)<\/span><\/li>\n<li>MAP 6465: Wavelets and Their Applications<span style=\"font-size: 1rem\"> (1408QS, 1801QS)<\/span><\/li>\n<li>MAP 6469: Bayesian Analysis and Approximation Theory<span style=\"font-size: 1rem\"> (1508MP, 1801MP, 2008MP, <span style=\"color: #000000\">2201MP, 2308MP, <span style=\"color: #ff00ff\"><span style=\"color: #00ff00\">2501<\/span><\/span><\/span>)<\/span><\/li>\n<li>MAP 6507: Wave Propagation through Random Media<\/li>\n<li>MAP 6616 Computational Methods for Financial Mathematics II<span style=\"font-size: 1rem\"> (2008YL, <span style=\"color: #000000\">2201YL, <span style=\"color: #ff00ff\"><span style=\"color: #00ff00\">2501<\/span><\/span><\/span>)<\/span><\/li>\n<li>MAP 6642: Financial Mathematics II <span style=\"font-size: 1rem\">(2001CK, 2108CK, 2301CK, <span style=\"color: #ff00ff\">2408<\/span>)<\/span><\/li>\n<li>MAP 6646 Risk Management for Financial Mathematics<span style=\"font-size: 1rem\"> (1901CK, 2008CK, <span style=\"color: #000000\">2201CK, 2308CK, <span style=\"color: #ff00ff\"><span style=\"color: #00ff00\">2501<\/span><\/span><\/span>)<\/span><\/li>\n<li>MAP 6938: Special Topic: Low Dimension Structure (1408MP)<\/li>\n<li>MAP 6938: Special Topic: Mathematical Modeling II (1301RM)<\/li>\n<li>MAP 6938: Special Topic: Inverse Problems (1401ZN, 1701ZN)<\/li>\n<li>MAP 6938 Special Topics: Q-Series (2001MI)<\/li>\n<li>MAP 7119: Advanced Nonlinear Dynamics<span style=\"font-size: 1rem\"> (1401SC; 1601SC, 1801SC)<\/span><\/li>\n<li>MAP 7359: Advanced Topics in Partial Differential Equations<span style=\"font-size: 1rem\"> (1901AT, 2008YQ, 2208SC, <span style=\"color: #ff00ff\">2408<\/span> )<\/span><\/li>\n<li>MAP 7386: Numerical Solutions of PDE<span style=\"font-size: 1rem\">\u00a0 (1801CS, 2101CB)<\/span><\/li>\n<li>MAP 7439: Mathematical Fluid-Flow Theory II<span style=\"font-size: 1rem\"> (1701SS)<\/span><\/li>\n<li>MAS 5145: Advanced Linear Algebra and Matrix Theory<span style=\"font-size: 1rem\">\u00a0(1308RM, 1408JL, 1508QS, 1608ZL, <\/span>1708ZL<span style=\"font-size: 1rem\">; 1808DH, 1908TZ, 2008DH, 2108BG, 2208DH, 2308QS,\u00a0 <span style=\"color: #ff00ff\">2408<\/span>)<\/span><\/li>\n<li>MAS 5311: Algebra I<span style=\"font-size: 1rem\"> (1308JB,1408JB, 1608JB, 1808JB, 2008JB, 2308JB, <span style=\"color: #ff0000\">2508<\/span>)<\/span><\/li>\n<li>MAS 6116 Introduction to Random Matrix Theory\u00a0 (<span style=\"color: #000000\">2201AL<\/span>)<\/li>\n<li>MAS 6312: Algebra II<span style=\"font-size: 1rem\"> (1501JB, 1701JB, 1901JB, 2101JB, 2401JB)<\/span><\/li>\n<li>MAT 5712: Scientific Computing<span style=\"font-size: 1rem\">\u00a0(1308BM, 1408DR, 1508ZS, 1608BM, <\/span>1708TZ<span style=\"font-size: 1rem\">, <\/span>1708DR, 1808CB,\u00a0<span style=\"font-size: 1rem\">1908CB, 2008GW, 2108CB, 2208XL, 2308CB, <span style=\"color: #ff00ff\">2408<\/span>)<\/span><\/li>\n<li>MHF 5937: An Introduction to Mathematical Logic (2308JS)<\/li>\n<li>MTG 5253: Introduction to Differential Geometry<span style=\"font-size: 1rem\">\u00a0(1401JL, 1501JL, 1601AT, 1701AT; <\/span>1708RM<span style=\"font-size: 1rem\">, 1808SK, <\/span><span style=\"color: #000000\">2201AT<\/span><span style=\"font-size: 1rem\">)<\/span><\/li>\n<li>MTG 5256: Differential Geometry<span style=\"font-size: 1rem\"> (1401BG, 1601JL, 1701JL, 1901BG, 2101BG, 2208JL, <\/span><span style=\"font-size: 1rem\"><span style=\"color: #ff00ff\">2408<\/span><\/span>)<\/li>\n<li>MTG 6345:\u00a0 Algebraic Topology (2108JL, 2301JL, <span style=\"font-size: 1rem\"><span style=\"color: #ff00ff\"><span style=\"color: #000000\"><span style=\"color: #00ff00\">2501<\/span><\/span><\/span><\/span>)<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h2>Special Courses<\/h2>\n<p>In order to register for any of the special numbers below, a student must present a signed Registration Agreement form obtained from the Department or College.<\/p>\n<table border=\"0\" cellspacing=\"1\" cellpadding=\"1\">\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>Special Grad<\/strong><\/td>\n<td><strong>Grad and Prof<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Directed Independent Studies<\/td>\n<td>5907<\/td>\n<td>6908<\/td>\n<\/tr>\n<tr>\n<td>Directed Research<\/td>\n<td>5917<\/td>\n<td>6918<\/td>\n<\/tr>\n<tr>\n<td>Special Topics\/Seminars<\/td>\n<td>5937<\/td>\n<td>6939<\/td>\n<\/tr>\n<tr>\n<td>Internships, Practica, Clinical Practice<\/td>\n<td>5944<\/td>\n<td>6946<\/td>\n<\/tr>\n<tr>\n<td>Cooperative Education<\/td>\n<td>5949<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Study Abroad<\/td>\n<td>5957<\/td>\n<td>6958<\/td>\n<\/tr>\n<tr>\n<td>Research Report<\/td>\n<td><\/td>\n<td>6909<\/td>\n<\/tr>\n<tr>\n<td>Thesis\u2014Master\u2019s<\/td>\n<td><\/td>\n<td>6971<\/td>\n<\/tr>\n<tr>\n<td>Thesis\u2014Specialist<\/td>\n<td><\/td>\n<td>6973<\/td>\n<\/tr>\n<tr>\n<td>Doctoral Research<\/td>\n<td><\/td>\n<td>7919<\/td>\n<\/tr>\n<tr>\n<td>Doctoral Special Topics\/Seminars<\/td>\n<td><\/td>\n<td>7939<\/td>\n<\/tr>\n<tr>\n<td>Doctoral Dissertation<\/td>\n<td><\/td>\n<td>7980<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"The UCF Math graduate program offers about 12 graduate courses per spring\/fall semester.\u00a0 Its graduate courses have 6 Prefixes: MAA (Mathamatics: Analysis); \u00a0MAD (Mathematics: Discrete); MAE (Mathematics Education); MAP (Mathematics: Applied); \u00a0MAS (Mathematics: Algebraic Structures); MAT (Mathematics); MTG (Mathematics: Topology and Geometry). To understand course information about course prefix and number, visit\u00a0 Florida&#8217;s statewide course [&hellip;]","protected":false},"author":3,"featured_media":0,"parent":1512,"menu_order":7,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-1519","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/pages\/1519","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/comments?post=1519"}],"version-history":[{"count":38,"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/pages\/1519\/revisions"}],"predecessor-version":[{"id":7459,"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/pages\/1519\/revisions\/7459"}],"up":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/pages\/1512"}],"wp:attachment":[{"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/media?parent=1519"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}