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    "name": "Mathematical Science (MS) -  Financial Mathematics Track",
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            "description": "<p>The Financial Mathematics track within the Mathematical Science MS program equips graduate students with a robust mathematical foundation tailored for careers in the finance industry. This track emphasizes high-quality, professional training in mathematics applied to finance, enabling graduates to stand out in a competitive field.</p><p>Structured around three core components, this track includes (1) rigorous training in the fundamental mathematics essential for financial mathematics, (2) specialized professional training in finance-specific mathematical applications, and (3) a required experiential component, such as an internship or equivalent practical experience.</p><p>This strong mathematical foundation not only enhances students' understanding of current financial technologies but also makes them more adaptable and versatile in learning new tools and approaches, giving them a distinct edge over graduates from less mathematically rigorous programs.</p><p><strong>Total Credit Hours Required: 30 Credit Hours Minimum beyond the Bachelor's Degree</strong></p>",
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            "description": "<p>The Financial Mathematics track within the Mathematical Science MS program equips graduate students with a robust mathematical foundation tailored for careers in the finance industry. This track emphasizes high-quality, professional training in mathematics applied to finance, enabling graduates to stand out in a competitive field.</p><p>Structured around three core components, this track includes (1) rigorous training in the fundamental mathematics essential for financial mathematics, (2) specialized professional training in finance-specific mathematical applications, and (3) a required experiential component, such as an internship or equivalent practical experience.</p><p>This strong mathematical foundation not only enhances students' understanding of current financial technologies but also makes them more adaptable and versatile in learning new tools and approaches, giving them a distinct edge over graduates from less mathematically rigorous programs.</p><p><strong>Total Credit Hours Required: 30 Credit Hours Minimum beyond the Bachelor's Degree</strong></p><h2>Track Prerequisites</h2><p>A solid foundation in undergraduate calculus sequence, differential equations, linear algebra, elementary probability, and statistics, as well as proficiency in a modern programming language, is required for this track.</p><h2>Degree Requirements</h2><h3>Required Courses</h3> 15 Total Credits <ul><li>Complete all of the following<ul><li>Complete the following: <ul><li>MAA5238 - Measure and Probability I (3)</li><li>MAP5641 - Financial Mathematics I (3)</li><li>MAP6642 - Financial Mathematics II (3)</li></ul></li><li>Complete at least 1 of the following: <ul><li>MAP5612 - Computational Methods for Financial Mathematics I (3)</li><li>MAT5712 - Scientific Computing (3)</li></ul></li><li>Complete at least 1 of the following: <ul><li>MAP5606 - Differential Equations for Financial Mathematics (3)</li><li>MAP5336 - Ordinary Differential Equations and Applications (3)</li></ul></li></ul></li></ul><h3>Restricted Electives</h3> 12 Total Credits <ul><li>Complete at least 4 of the following: <ul><li>MAP6616 - Computational Methods for Financial Mathematics II (3)</li><li>MAP6646 - Risk Management for Financial Mathematics (3)</li><li>MAP6195 - Mathematical Foundations for Massive Data Modeling and Analysis (3)</li><li>MAP6197 - Mathematical Introduction to Deep Learning (3)</li><li>MAP6207 - Optimization Theory (3)</li><li>STA6857 - Applied Time Series Analysis (3)</li><li>MAP6111 - Mathematical Statistics (3)</li><li>ECO6281 - Financial Economics I: Asset Prices, Risk, and Information (3)</li><li>ECO6282 - Financial Economics II: Continuous-Time Models (3)</li><li>MAP6356 - Partial Differential Equations (3)</li><li>MAA6245 - Measure and Probability II (3)</li><li>MAA6506 - Functional Analysis (3)</li></ul></li></ul><h3>Experiential Requirement</h3> 3 Total Credits <ul><li>Earn at least 3 credits from the following types of courses: Students must earn at least 3 credits to fulfill the experiential requirement. This can be achieved by satisfactorily completing one of the following options: (1) an internship in financial mathematics (MAP 6946), (2) an approved external or internal workshop in financial mathematics (MAP 6946), or (3) the following two courses with satisfactory grades: MAP 5931 - Proseminar for Financial Mathematics (1 credit) and MAP 5933 - Seminar in Financial Mathematics (2 credits). Additionally, students must deliver an oral presentation summarizing their experience as part of this requirement.</li></ul><h4>Grand Total Credits: <strong>30</strong></h4><h2>Application Requirements</h2><h2>Financial Information</h2><h2>Fellowship Information</h2>The Financial Mathematics program consists of 30 credit hours of courses and internship. Students will work with an adviser to design a program of study, which will be presented to the program director for approval. If a student has an industrial sponsor, the student's program of study will be developed in consultation with a representative from the student's sponsoring company. Students are expected to obtain hands-on experience. The capstone requirement for this track is fulfilled by students completing an experiential learning requirement (3 credit hours). At least one-half of the program courses must be taken at the 6000 level.",
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        {
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            "description": "<p style=\"font-weight: 400;\">The Financial Mathematics track within the Mathematical Science MS program equips graduate students with a robust mathematical foundation tailored for careers in the finance industry. This track emphasizes high-quality, professional training in mathematics applied to finance, enabling graduates to stand out in a competitive field.</p> <p style=\"font-weight: 400;\"> </p> <p style=\"font-weight: 400;\">Structured around three core components, this track includes (1) rigorous training in the fundamental mathematics essential for financial mathematics, (2) specialized professional training in finance-specific mathematical applications, and (3) a required experiential component, such as an internship or equivalent practical experience.</p> <p style=\"font-weight: 400;\"> </p> <p style=\"font-weight: 400;\">This strong mathematical foundation not only enhances students' understanding of current financial technologies but also makes them more adaptable and versatile in learning new tools and approaches, giving them a distinct edge over graduates from less mathematically rigorous programs.</p> <p style=\"font-weight: 400;\"> </p> <p style=\"font-weight: 400;\"><strong>Total Credit Hours Required: 30 Credit Hours Minimum beyond the Bachelor's Degree</strong></p>",
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            "description": "<h1>Track Prerequisites</h1><p style=\"font-weight: 400;\">A solid foundation in undergraduate calculus sequence, differential equations, linear algebra, elementary probability, and statistics, as well as proficiency in a modern programming language, is required for this track.</p> <p><br /><br /></p><h1>Degree Requirements</h1><div><section><header data-test=\"grouping-0-header\"><div><h2 data-testid=\"grouping-label\"><span>Required Courses</span></h2></div><div><span>15</span><span>Total Credits</span></div><div><div><button aria-label=\"Collapse\"><i></i></button></div></div></header><div><div><ul><li><span>Complete <!-- -->all<!-- --> of the following</span><ul><li data-test=\"ruleView-A\"><div data-test=\"ruleView-A-result\">Complete the following: <div><ul style=\"margin-top:5px;margin-bottom:5px\"><li><span><a href=\"#/courses/view/675312043bcc24b93e319d22\" target=\"_blank\">MAA5238</a> <!-- -->-<!-- --> <!-- -->Measure and Probability I<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fc2e6bc79384873e8d9\" target=\"_blank\">MAP5641</a> <!-- -->-<!-- --> <!-- -->Financial Mathematics I<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fc302fd3a6b056d8760\" target=\"_blank\">MAP6642</a> <!-- -->-<!-- --> <!-- -->Financial Mathematics II<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li></ul></div></div></li><li data-test=\"ruleView-B\"><div data-test=\"ruleView-B-result\">Complete at least <span>1</span> of the following: <div><ul style=\"margin-top:5px;margin-bottom:5px\"><li><span><a href=\"#/courses/view/60ca7fc29d75357ab38770dc\" target=\"_blank\">MAP5612</a> <!-- -->-<!-- --> <!-- -->Computational Methods for Financial Mathematics I<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fcd5ada37c20eec9f41\" target=\"_blank\">MAT5712</a> <!-- -->-<!-- --> <!-- -->Scientific Computing<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li></ul></div></div></li><li data-test=\"ruleView-C\"><div data-test=\"ruleView-C-result\">Complete at least <span>1</span> of the following: <div><ul style=\"margin-top:5px;margin-bottom:5px\"><li><span><a href=\"#/courses/view/60ca7fc25a15837b619e7068\" target=\"_blank\">MAP5606</a> <!-- -->-<!-- --> <!-- -->Differential Equations for Financial Mathematics<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fc2a38edf2ea93ec7aa\" target=\"_blank\">MAP5336</a> <!-- -->-<!-- --> <!-- -->Ordinary Differential Equations and Applications<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li></ul></div></div></li></ul></li></ul></div></div></section><section><header data-test=\"grouping-1-header\"><div><h2 data-testid=\"grouping-label\"><span>Restricted Electives</span></h2></div><div><span>12</span><span>Total Credits</span></div><div><div><button aria-label=\"Collapse\"><i></i></button></div></div></header><div><div><ul><li data-test=\"ruleView-A\"><div data-test=\"ruleView-A-result\">Complete at least <span>4</span> of the following: <div><ul style=\"margin-top:5px;margin-bottom:5px\"><li><span><a href=\"#/courses/view/60ca7fc35a1583374a9e706a\" target=\"_blank\">MAP6616</a> <!-- -->-<!-- --> <!-- -->Computational Methods for Financial Mathematics II<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fc3e6bc79d49d73e8e1\" target=\"_blank\">MAP6646</a> <!-- -->-<!-- --> <!-- -->Risk Management for Financial Mathematics<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fc3e6bc791b8e73e8df\" target=\"_blank\">MAP6195</a> <!-- -->-<!-- --> <!-- -->Mathematical Foundations for Massive Data Modeling and Analysis<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fc3e6bc796ef573e8e0\" target=\"_blank\">MAP6197</a> <!-- -->-<!-- --> <!-- -->Mathematical Introduction to Deep Learning<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fc4e6bc794ed273e8e2\" target=\"_blank\">MAP6207</a> <!-- -->-<!-- --> <!-- -->Optimization Theory<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca81589d7535760587739b\" target=\"_blank\">STA6857</a> <!-- -->-<!-- --> <!-- -->Applied Time Series Analysis<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fc35a158306459e706c\" target=\"_blank\">MAP6111</a> <!-- -->-<!-- --> <!-- -->Mathematical Statistics<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/636bf484f23cdbe6a8f82518\" target=\"_blank\">ECO6281</a> <!-- -->-<!-- --> <!-- -->Financial Economics I: Asset Prices, Risk, and Information<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/636bf7f8f23cdb79d6f8254b\" target=\"_blank\">ECO6282</a> <!-- -->-<!-- --> <!-- -->Financial Economics II: Continuous-Time Models<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fc360402b48e5ae76b4\" target=\"_blank\">MAP6356</a> <!-- -->-<!-- --> <!-- -->Partial Differential Equations<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fb760402b1119ae7699\" target=\"_blank\">MAA6245</a> <!-- -->-<!-- --> <!-- -->Measure and Probability II<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fb85ada37082dec9f17\" target=\"_blank\">MAA6506</a> <!-- -->-<!-- --> <!-- -->Functional Analysis<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li></ul></div></div></li></ul></div></div></section><section><header data-test=\"grouping-2-header\"><div><h2 data-testid=\"grouping-label\"><span>Experiential Requirement</span></h2></div><div><span>3</span><span>Total Credits</span></div><div><div><button aria-label=\"Collapse\"><i></i></button></div></div></header><div><div><ul><li data-test=\"ruleView-A\"><div data-test=\"ruleView-A-result\">Earn at least <span>3</span> credits from the following types of courses: <div>Students must earn at least 3 credits to fulfill the experiential requirement. This can be achieved by satisfactorily completing one of the following options: (1) an internship in financial mathematics (MAP 6946), (2) an approved external or internal workshop in financial mathematics (MAP 6946), or (3) the following two courses with satisfactory grades: MAP 5931 - Proseminar for Financial Mathematics (1 credit) and MAP 5933 - Seminar in Financial Mathematics (2 credits).\nAdditionally, students must deliver an oral presentation summarizing their experience as part of this requirement.</div></div></li></ul></div></div></section><h3>Grand Total Credits:<!-- --> <strong>30</strong></h3></div><h1>Application Requirements</h1><h1>Financial Information</h1><h1>Fellowship Information</h1><div>The Financial Mathematics program consists of 30 credit hours of courses and internship. Students will work with an adviser to design a program of study, which will be presented to the program director for approval. If a student has an industrial sponsor, the student's program of study will be developed in consultation with a representative from the student's sponsoring company. Students are expected to obtain hands-on experience. The capstone requirement for this track is fulfilled by students completing an experiential learning requirement (3 credit hours). At least one-half of the program courses must be taken at the 6000 level.</div>",
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