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{
    "id": 291948,
    "description_type": {
        "id": 5,
        "name": "Source Catalog Curriculum"
    },
    "description": "<h1>Program Prerequisites</h1><p style=\"font-weight: 400;\">Bachelor's degree in mathematics or closely related field.</p> <p style=\"font-weight: 400;\"> </p> <p style=\"font-weight: 400;\">Students are expected to possess a solid foundation in undergraduate mathematics, including the calculus sequence, differential equations, and linear algebra. Additionally, they should demonstrate mathematical maturity comparable to that attained in an Advanced Calculus course, such as UCF’s <a href=\"https://sciences.ucf.edu/math/course/maa-4226-advanced-calculus-i/\">MAA 4226</a>.</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 data-test=\"ruleView-A\"><div data-test=\"ruleView-A-result\">Complete at least <span>5</span> of the following: <div><ul style=\"margin-top:5px;margin-bottom:5px\"><li><span><a href=\"#/courses/view/60ca7fb7e6bc7968ca73e8a4\" target=\"_blank\">MAA5237</a> <!-- -->-<!-- --> <!-- -->Mathematical Analysis<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/67531c9c3972fae43e6a7841\" target=\"_blank\">MAA6405</a> <!-- -->-<!-- --> <!-- -->Complex Analysis I<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fcaa38edf41a23ec7b6\" target=\"_blank\">MAS5311</a> <!-- -->-<!-- --> <!-- -->Algebra I<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fb960402b61fcae769e\" target=\"_blank\">MAD5205</a> <!-- -->-<!-- --> <!-- -->Graph Theory I<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fb8e6bc79ec1473e8a6\" target=\"_blank\">MAA6416</a> <!-- -->-<!-- --> <!-- -->Topology<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fe55ada37e038ec9f79\" target=\"_blank\">MTG5256</a> <!-- -->-<!-- --> <!-- -->Differential Geometry<!-- --> <span style=\"margin-left:5px\">(3)</span></span></li><li><span><a href=\"#/courses/view/60ca7fc95ada374d7aec9f3b\" target=\"_blank\">MAS5145</a> <!-- -->-<!-- --> <!-- -->Advanced Linear Algebra and Matrix Theory<!-- --> <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><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><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/675312043bcc24b93e319d22\" target=\"_blank\">MAA5238</a> <!-- -->-<!-- --> <!-- -->Measure and Probability I<!-- --> <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></ul></div></div></li></ul></div></div></section><section><header data-test=\"grouping-1-header\"><div><h2 data-testid=\"grouping-label\"><span>Restricted Elective Sequences</span></h2></div><div><span>9</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>9</span> credits from the following types of courses: <div>Students must complete additionally a minimum of 9 credit hours in advanced mathematical courses at the 6000 or 7000 level. This may include up to 3 credit hours from Independent Study (XXX 6908), Directed Research (XXX 6918), or Special Topics/Seminars (XXX 6939). Of the total required credits, at least 6 credit hours must be earned from courses offered by the Department of Mathematics. Any coursework taken outside the department requires prior approval from the graduate program director. Additionally, 6000-level courses from the list of core required courses that were not used to meet the required course requirements may count toward the 9-credit-hour minimum of restricted elective.\n\nStudents&#x27; coursework must be planned in coordination with their advisor or the graduate program director.\n\nThe list of approved electives includes:\n\no\tMAA6245 - Measure and Probability II (3)\no\tMAA6306 - Real Analysis (3)\no\tMAA6408 - Complex Analysis II (3)\no\tMAA6506 - Functional Analysis (3)\no\tMAA7239 - Asymptotic Methods in Mathematical Statistics (3)\no\tMAD6309 - Graph Theory II (3)\no\tMAP 7386 - Numerical Solutions of PDE (3)\no\tMAP6118 - Introduction to Nonlinear Dynamics (3)\no\tMAP6195 - Mathematical Foundations for Massive Data Modeling and Analysis (3)\no\tMAP6197 - Mathematical Introduction to Deep Learning (3)\no\tMAP6207 - Optimization Theory (3)\no\tMAP6218 - Stochastic Calculus (3)\no\tMAP6385 - Applied Numerical Mathematics (3)\no\tMAP6387 - Numerical Linear Algebra (3)\no\tMAP6416 - Applied and Computational Harmonic Analysis (3)\no\tMAP6445 - Approximation Techniques (3)\no\tMAP6469 - Bayesian Analysis and Approximation Theory (3)\no\tMAP7119 - Advanced Nonlinear Dynamics (3)\no\tMAP7359 - Advanced Topics in Partial Differential Equations (3)\no\tMAS6312 - Algebra II (3)\no\tMTG6345 - Algebraic Topology (3)\n</div></div></li></ul></div></div></section><section><header data-test=\"grouping-2-header\"><div><h2 data-testid=\"grouping-label\"><span>Thesis/Nonthesis Option</span></h2></div><div><span>6</span><span>Total Credits</span></div><div><div><button aria-label=\"Collapse\"><i></i></button></div></div></header><div><div><ul><li><span>Complete <!-- -->1<!-- --> of the following</span><ul><div><span>Thesis Option</span><li data-test=\"ruleView-A.1\"><div data-test=\"ruleView-A.1-result\">Earn at least <span>6</span> credits from the following types of courses: <div>Thesis Option: Students in the Thesis option must complete a minimum of 6 credit hours of Thesis (XXX 6971). \n\nThis option requires a total of at least 30 credit hours for the MS degree, consisting of at least 24 credit hours of coursework and 6 credit hours dedicated to the thesis. An oral defense of the thesis will be required.</div></div></li></div><div><span>Nonthesis Option</span><li data-test=\"ruleView-B.1\"><div data-test=\"ruleView-B.1-result\">Earn at least <span>6</span> credits from the following types of courses: <div>Non-thesis Option: Students in the non-thesis option must complete at least 15 credit hours from restricted electives. \n\nCompared to the thesis option, non-thesis students take an additional 6 credit hours of coursework.</div></div></li></div></ul></li></ul></div></div></section><section><header data-test=\"grouping-3-header\"><div><h2 data-testid=\"grouping-label\"><span>Independent Learning</span></h2></div><div><span>0</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\"><div>In the Mathematical Science MS program, the thesis option provides an independent learning experience through directed research, reading relevant research articles, and writing and defending a comprehensive thesis. \nThe non-thesis option requires students to complete research-oriented advanced courses, including project-based activities.</div></div></li></ul></div></div></section><h3>Grand Total Credits:<!-- --> <strong>30</strong></h3></div><h1>Application Requirements</h1><h1>Application Deadlines</h1><h1>Financial Information</h1><h1>Fellowship Information</h1>",
    "primary": false,
    "program": 1308
}