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MATH F412: Differential Geometry
3.00 Credits
UAF Kuskokwim Campus - Bethel
Introduction to the differential geometry of curves, surfaces, and Riemannian manifolds. Basic concepts covered include the Frenet-Serret apparatus, surfaces, first and second fundamental forms, geodesics, Gauss curvature and the Gauss-Bonnet Theorem. Time permitting, topics such as minimal surfaces, theory of hypersurfaces and/or tensor analysis may be included. Prerequisites: MATH F314; MATH F401. Offered Spring Odd-numbered Years
Prerequisite:
MATH F314 UF C- AND MATH F401 UF C-
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MATH F412 - Differential Geometry
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MATH F421: Applied Analysis
4.00 Credits
UAF Kuskokwim Campus - Bethel
Vector calculus, including gradient, divergence, and curl in orthogonal curvilinear coordinates, ordinary and partial differential equations and boundary value problems, and Fourier series and integrals. Prerequisites: MATH F302. Offered Fall
Prerequisite:
MATH F302 UF C-
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MATH F421 - Applied Analysis
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MATH F422: Intro to Complex Analysis
3.00 Credits
UAF Kuskokwim Campus - Bethel
Complex functions including series, integrals, residues, conformal mapping and applications. May be taken independently of MATH F421. Prerequisites: MATH F302. Offered Spring
Prerequisite:
MATH F302 UF C-
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MATH F422 - Intro to Complex Analysis
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MATH F430: Topics in Mathematics
3.00 Credits
UAF Kuskokwim Campus - Bethel
An elective course in mathematics for majors. Topics will vary from year to year and may be drawn from mathematical biology, numerical linear algebra, graph theory, logic, or other areas of mathematics. May be repeated with permission of instructor for a total of nine credits. Offered Spring Prerequisites: MATH F265.
Prerequisite:
MATH F215 UF C- OR MATH F265 UF C-
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MATH F430 - Topics in Mathematics
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MATH F460: Mathematical Modeling
3.00 Credits
UAF Kuskokwim Campus - Bethel
Introduction to mathematical modeling using differential or difference equations. Emphasis is on formulating models and interpreting qualitative behavior such models predict. Examples will be taken from a variety of fields, depending on the interest of the instructor. Students develop a modeling project. Prerequisites: COJO F131X or COJO F141X; WRTG F111X; WRTG F211X, WRTG F212X, WRTG F213X or WRTG F214X; MATH F252X. Recommended: one or more of MATH F302, MATH F310, MATH F314, MATH F401, STAT F300 or some programming experience. Offered Fall Odd-numbered Years
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MATH F460 - Mathematical Modeling
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MATH F490: Senior Seminar
2.00 Credits
UAF Kuskokwim Campus - Bethel
Advanced topics selected from areas outside the usual undergraduate offerings. A substantial level of mathematical maturity is assumed. Prerequisites: COJO F131X or COJO F141X; at least one of MATH F401 or MATH F405; senior standing. Offered Spring
Prerequisite:
(MATH F405 UF C- OR MATH F401 UF C- ) (AND COMM F131X UF C- OR COJO F121X UF C- OR COJO F141X UF C- OR COJO F131X UF C- OR COMM F121X UF C- OR COMM F1OX UF C- OR COMM F141X UF C- OR CORE F1 UF T T OR CORE F1AA UF T T OR CORE F1AS UF T T )
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MATH F490 - Senior Seminar
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MATH F492: Senior Seminar
1.00 Credits
UAF Kuskokwim Campus - Bethel
No course description available.
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MATH F492 - Senior Seminar
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MATH F492P: Senior Seminar
1.00 Credits
UAF Kuskokwim Campus - Bethel
No course description available.
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MATH F492P - Senior Seminar
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MATH F494: Trial Course
1.00 - 6.00 Credits
UAF Kuskokwim Campus - Bethel
No course description available.
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MATH F494 - Trial Course
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MATH F498: Research
1.00 - 6.00 Credits
UAF Kuskokwim Campus - Bethel
No course description available.
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MATH F498 - Research
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