{"id":29231,"date":"2021-06-10T12:54:53","date_gmt":"2021-06-10T16:54:53","guid":{"rendered":"https:\/\/engineering.jhu.edu\/ams\/academics\/graduate-studies\/ms-in-financial-mathematics\/program-requirements\/"},"modified":"2026-02-11T09:13:50","modified_gmt":"2026-02-11T14:13:50","slug":"approvedcourses","status":"publish","type":"page","link":"https:\/\/engineering.jhu.edu\/ams\/academics\/graduate-studies\/masters-financial-mathematics\/approvedcourses\/","title":{"rendered":"Approved Courses"},"content":{"rendered":"

Note that courses offered by schools other than EN (Engineering) or Arts & Sciences (AS) must be registered for using the\u00a0Registrar\u2019s Interdivisional Registration form<\/a>\u00a0(IDR).\u00a0 This includes courses offered by Carey (BU), or Engineering for Professionals (EP). \u00a0This form will require your advisor\u2019s signature<\/span>.\u00a0\u00a0The signed form must then be submitted to\u00a0SEAM<\/a><\/span>.<\/strong><\/span><\/h4>\n

Core financial mathematics requirements (2 courses)<\/strong><\/h4>\n\n\n\n\n\n
Course #<\/td>\nCourse Name<\/td>\nSemester Typically Offered<\/td>\n<\/tr>\n
EN.553.644<\/td>\nIntroduction to Financial Derivatives<\/td>\nFall<\/td>\n<\/tr>\n
EN.553.645<\/td>\nInterest Rate and Credit Derivatives<\/td>\nSpring<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Core applied mathematics requirements (3 courses)<\/strong><\/h4>\n\n\n\n\n\n\n
Course #<\/td>\nCourse Name<\/td>\nSemester Typically Offered<\/td>\n<\/tr>\n
EN.553.613 or EN.553.636<\/td>\nApplied Statistics and Data Analysis
\nIntroduction to Data Science<\/td>\n		Fall<\/td>\n<\/tr>\n
EN.553.627<\/td>\nStochastic Processes and Applications to Finance<\/td>\nFall<\/td>\n<\/tr>\n
EN.553.639<\/td>\nTime Series Analysis<\/td>\nSpring<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Electives (7 courses)<\/strong><\/h4>\n

Of the electives \u2013<\/p>\n

    \n
  • One<\/strong> elective must be in Applied Mathematics and Statistics<\/li>\n
  • Two<\/strong> electives must be in Financial Mathematics<\/li>\n
  • Four<\/strong> additional electives should be from the approved electives listing and can be Financial Mathematics, Applied Mathematics and Statistics or Free Electives.<\/li>\n<\/ul>\n

    Selection of electives must be done with advisor and Program Director approval. Students are required to take a minimum of 2 Financial Mathematics electives and 1 Applied Mathematics and Statistics Elective. Students can then chose the remaining 4 required electives from the list of approved electives. If a student wishes to have a course considered that is not on the approved elective lists they must submit the course details to their Faculty Advisor or the Academic Program Coordinator for Program Committee review.<\/p>\n

    Students can choose any of the courses listed below.\u00a0 Alternatively, they can choose to tailor their selection of electives based on one of the following concentrations:<\/strong><\/p>\n

      \n
    • Asset Management<\/li>\n
    • Derivatives<\/li>\n
    • Fixed Income and Commodities<\/li>\n
    • Risk Management<\/li>\n
    • Quantitative, Algorithmic, High-Frequency Trading<\/li>\n<\/ul>\n

       <\/p>\n

      Approved Financial Mathematics Electives (at least 2 courses)<\/strong><\/span><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
      Course #<\/strong><\/td>\nCourse Name<\/strong><\/td>\nSemester Typically Offered<\/strong><\/td>\nConcentration<\/strong><\/td>\n<\/tr>\n
      AS.110.416<\/td>\nHonors Analysis II<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
      AS.180.636<\/td>\nStatistical Inference<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
      EN.553.601<\/td>\nIntroduction to Research<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.640<\/td>\nMachine Learning in Finance<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.641<\/td>\nEquity Markets and Quantitative Trading<\/td>\nSpring<\/td>\n\n
        \n
      • Asset Management<\/li>\n
      • Quantitative, Algorithmic, High-Frequency Trading<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.642<\/td>\nInvestment Science<\/td>\nFall<\/td>\n\n
        \n
      • Asset Management<\/li>\n
      • Fixed Income and Commodities<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.646<\/td>\nRisk Measurement\/Management in Financial Markets<\/td>\nFall<\/td>\n\n
        \n
      • Risk Management<\/li>\n
      • Asset Management<\/li>\n
      • Fixed Income and Commodities<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.647<\/td>\nQuantitative Portfolio Theory and Performance Analysis<\/td>\nSpring<\/td>\n\n
        \n
      • Risk Management<\/li>\n
      • Asset Management<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.648<\/td>\nFinancial Engineering and Structured Products<\/td>\nSpring<\/td>\n\n
        \n
      • Derivatives<\/li>\n
      • Fixed Income and Commodities<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.649<\/td>\nAdvanced Equity Derivatives<\/td>\nFall<\/td>\n\n
        \n
      • Risk Management<\/li>\n
      • Derivatives<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.688<\/td>\nComputing for Applied Mathematics<\/td>\nSpring<\/td>\n\n
        \n
      • Asset Management<\/li>\n
      • Derivatives<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.748<\/td>\nCredit and Systemic Risk<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
      EN.553.749<\/td>\nAdvanced Financial Theory<\/td>\nFall<\/td>\n\n
        \n
      • Asset Management<\/li>\n
      • Derivatives<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.753<\/td>\nThree Key Aspects of Climate Change: Energy Transition, Critical Metals, and Sustainable Agriculture (formerly titled Commodities & Commodity Markets<\/em>)<\/td>\nSpring<\/td>\n\n
        \n
      • Derivatives<\/li>\n
      • Fixed Income and Commodities<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.660.614<\/td>\nFinancial Statement Analysis<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

       <\/p>\n

      Approved Applied Mathematics Electives (at least 1 course)<\/strong><\/span><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
      Course #<\/strong><\/td>\nCourse Name<\/strong><\/td>\nSemester Typically Offered<\/strong><\/td>\nConcentration<\/strong><\/td>\n<\/tr>\n
      AS.110.405<\/td>\nReal Analysis I<\/td>\nFall\/Spring<\/td>\n<\/td>\n<\/tr>\n
      AS.110.605<\/td>\nReal Variables<\/td>\nFall<\/td>\n<\/td>\n<\/tr>\n
      AS.110.653<\/td>\nStochastic Differential Equations:\u00a0 An Introduction With Applications<\/td>\nFall<\/td>\n<\/td>\n<\/tr>\n
      EN.520.650<\/td>\nMachine Intelligence<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.600<\/td>\nMathematical Modeling and Consulting<\/td>\nFall<\/td>\n<\/td>\n<\/tr>\n
      EN.553.602<\/td>\nResearch and Design in Applied Mathematics: Data Mining<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.614<\/td>\nApplied Statistics and Data Analysis II<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.628<\/td>\nStochastic Processes and Applications to Finance II<\/td>\nSpring<\/td>\n\n
        \n
      • Derivatives<\/li>\n
      • Fixed Income and Commodities<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.630<\/td>\nIntroduction to Statistics<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.632<\/td>\nBayesian Statistics (students make take 553.632 or 553.732, but not both)<\/em><\/td>\nFall<\/td>\n\n
        \n
      • Quantitative, Algorithmic, High-Frequency Trading<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.633<\/td>\nMonte Carlo Methods<\/td>\nFall<\/td>\n\n
        \n
      • Risk Management<\/li>\n
      • Derivatives<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.636<\/td>\nIntroduction to Data Science<\/td>\nSpring<\/td>\n\n
        \n
      • Quantitative, Algorithmic, High-Frequency Trading<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.640<\/td>\nMachine Learning in Finance<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.653<\/td>\nMathematical Game Theory<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.661<\/td>\nOptimization in Finance<\/td>\nFall<\/td>\n\n
        \n
      • Asset Management<\/li>\n
      • Quantitative, Algorithmic, High-Frequency Trading<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.665<\/td>\nIntroduction to Convexity<\/td>\nFall<\/td>\n<\/td>\n<\/tr>\n
      EN.553.667<\/td>\nDeep Learning in Discrete Optimization<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.680<\/td>\nNumerical Linear Algebra<\/td>\nFall<\/td>\n<\/td>\n<\/tr>\n
      EN.553.681<\/td>\nNumerical Analysis<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.688<\/td>\nComputing for Applied Mathematics<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.693<\/td>\nMathematical Image Analysis<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.720<\/td>\nProbability Theory I (measure-theoretic)<\/td>\nFall<\/td>\n<\/td>\n<\/tr>\n
      EN.553.721<\/td>\nProbability Theory II (measure-theoretic)<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.722<\/td>\nIntroduction to Stochastic Calculus<\/td>\nFall<\/td>\n<\/td>\n<\/tr>\n
      EN.553.723<\/td>\nMarkov Chains<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.724<\/td>\nProbabilistic Machine Learning<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.730<\/td>\nStatistical Theory I<\/td>\nFall<\/td>\n\n
        \n
      • Quantitative, Algorithmic, High-Frequency Trading<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.731<\/td>\nStatistical Theory II<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.732<\/td>\nBayesian Statistics (students make take 553.632 or 553.732, but not both)<\/td>\nFall<\/td>\n<\/td>\n<\/tr>\n
      EN.553.739<\/td>\nStatistical Pattern Recognition: Theory and Methods<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.740<\/td>\nMachine Learning<\/td>\nFall<\/td>\n\n
        \n
      • Quantitative, Algorithmic, High-Frequency Trading<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
      EN.553.761<\/td>\nFoundations of Optimization\/Nonlinear Optimization I<\/td>\nFall<\/td>\n<\/td>\n<\/tr>\n
      EN.553.762<\/td>\nOptimization Algorithms\/Nonlinear Optimization II<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.763<\/td>\nStochastic Search and Optimization<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.764<\/td>\nModeling, Simulation and Monte Carlo<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.766<\/td>\nCombinatorial Optimization<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n
      EN.553.780<\/td>\nShape and Differential Geometry<\/span><\/td>\nFall<\/td>\n<\/td>\n<\/tr>\n
      EN.553.792<\/td>\nMatrix Analysis<\/td>\nFall<\/td>\n<\/td>\n<\/tr>\n
      EN.601.675<\/td>\nMachine Learning<\/td>\nFall\/Spring<\/td>\n<\/td>\n<\/tr>\n
      EN.601.682<\/td>\nMachine Learning: Deep Learning<\/td>\nFall\/Spring<\/td>\n<\/td>\n<\/tr>\n
      EN.660.614<\/td>\nFinancial Statement Analysis<\/td>\nSpring<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

       <\/p>\n

      Approved Free Electives<\/strong><\/span><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
      Course #<\/strong><\/td>\nCourse Name<\/strong><\/td>\nSemester Typically Offered<\/strong><\/td>\n<\/tr>\n
      AS.180.601<\/td>\nMicroeconomic Theory I<\/td>\nFall<\/td>\n<\/tr>\n
      AS.180.602<\/td>\nMicroeconomic Theory II<\/td>\nSpring<\/td>\n<\/tr>\n
      AS.180.603<\/td>\nMacroeconomic Theory I<\/td>\nFall<\/td>\n<\/tr>\n
      AS.180.604<\/td>\nMacroeconomic Theory II<\/td>\nSpring<\/td>\n<\/tr>\n
      AS.180.607<\/td>\nApplied Microeconomics<\/td>\nFall<\/td>\n<\/tr>\n
      AS.180.611<\/td>\nEconomics of Uncertainty\/Economics of Information I<\/td>\nSpring<\/td>\n<\/tr>\n
      AS.180.612<\/td>\nEconomics of Uncertainty\/Economics of Information II<\/td>\nSpring<\/td>\n<\/tr>\n
      AS.180.633<\/td>\nEconometrics<\/td>\nSpring<\/td>\n<\/tr>\n
      AS.180.641<\/td>\nInternational Finance and Trade<\/td>\nFall\/Spring<\/td>\n<\/tr>\n
      AS.180.647<\/td>\nTopics in Economic Theory and Finance<\/td>\nFall<\/td>\n<\/tr>\n
      AS.180.690<\/td>\nAdvanced Econometrics<\/span><\/td>\nFall\/Spring<\/td>\n<\/tr>\n
      BU.756.715<\/td>\nFinancial Risk Management<\/td>\nFall\/Spring<\/td>\n<\/tr>\n
      BU.756.720<\/td>\nFixed Income Securities<\/td>\nSpring<\/td>\n<\/tr>\n
      EN.520.651<\/td>\nFoundations of Probabilistic Machine Learning<\/td>\nFall<\/td>\n<\/tr>\n
      EN.530.641<\/td>\nStatistical Learning for Engineers<\/td>\nFall<\/td>\n<\/tr>\n
      EN.553.602<\/td>\nResearch and Design in Applied Mathematics: Data Mining<\/td>\nSpring<\/td>\n<\/tr>\n
      EN.553.643<\/td>\nEnergy Markets and Risk Management<\/td>\nFall<\/td>\n<\/tr>\n
      EN.570.470<\/td>\nApplied Economics and Finance<\/td>\nFall\/Spring<\/td>\n<\/tr>\n
      EN.570.493<\/td>\nEconomic Foundations for Environmental Engineering and Policy Design<\/td>\nFall<\/td>\n<\/tr>\n
      EN.570.504<\/td>\nFinancial Market Research<\/td>\nFall<\/td>\n<\/tr>\n
      EN.570.607<\/td>\nEnergy Policy and Planning Models<\/td>\nSpring<\/td>\n<\/tr>\n
      EN.601.615<\/td>\nDatabases<\/td>\nFall<\/td>\n<\/tr>\n
      EN.601.621<\/td>\nObject Oriented Software Engineering<\/td>\nFall\/Spring<\/td>\n<\/tr>\n
      EN.601.633<\/td>\nIntro Algorithms<\/td>\nFall\/Spring<\/td>\n<\/tr>\n
      EN.601.644<\/td>\nNetwork Security<\/td>\nFall<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      The Area of Focus Track can also be customized with advisor permission.<\/p>\n

       <\/p>\n

       <\/p>\n

       <\/p>\n","protected":false},"excerpt":{"rendered":"

      Note that courses offered by schools other than EN (Engineering) or Arts & Sciences (AS) must be registered for using the\u00a0Registrar\u2019s Interdivisional Registration form\u00a0(IDR).\u00a0 This includes courses offered by Carey…<\/p>\n","protected":false},"author":33,"featured_media":0,"parent":53833,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","footnotes":""},"class_list":["post-29231","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"\nApproved Courses | Department of Applied Mathematics and 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