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MATH 327: Advanced Financial Mathematics
3.00 Credits
Knox College
Continued study of the key mathematical ideas and techniques that support the two main arms of the area of Financial Mathematics: portfolio optimization and option valuation. Cox-Ross- Rubinstein model of asset prices in discrete time, Brownian motion and stochastic integral models for continuous time problems, optimal portfolio consumption problem, exotic options, dynamic programming approach to valuation of derivative assets, Black-Scholes option valuation. Statistical estimation of the parameters of the asset price process will also be discussed. Prereq: MATH 227 and MATH 321, or permission of the instructor; QL; K. Hastings
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MATH 327 - Advanced Financial Mathematics
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MATH 331: Analysis I
3.00 Credits
Knox College
A rigorous study of the concepts of continuity, differentiation, integration, and convergence in one variable. Prereq: MATH 300 or permission of the instructor; QL; W; D. Schneider
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MATH 331 - Analysis I
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MATH 332: Analysis II
3.00 Credits
Knox College
A continuation of MATH 331. A rigorous study of the concepts of calculus in higher dimensions. QL; D. Schneider
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MATH 332 - Analysis II
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MATH 333: Complex Analysis
3.00 Credits
Knox College
A rigorous study of analytic functions and their properties. The Cauchy-Riemann equations, Cauchy's Theorem, Taylor and Laurent expansions, the calculus of residues, conformal mappings, and harmonic functions. Prereq: MATH 331; QL; D. Schneider
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MATH 333 - Complex Analysis
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MATH 341: Abstract Algebra I
3.00 Credits
Knox College
A rigorous study of the fundamental notions of abstract algebra. Groups, rings, integral domains, and fields. Prereq: MATH 300 or permission of the instructor; QL; W; STAFF
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MATH 341 - Abstract Algebra I
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MATH 342: Abstract Algebra II
3.00 Credits
Knox College
A continuation of MATH 341. A rigorous study of more advanced topics such as Galois theory, modules and vector spaces. QL; STAFF
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MATH 342 - Abstract Algebra II
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MATH 360: Research in Mathematics I
2.00 Credits
Knox College
MATH 360-361 is a sequence of two courses in which students engage in guided research of a topic not normally covered elsewhere in the curriculum. Student produce written reports of their work, and do public oral presentations. MATH 361, if taken for 1/2 credit must build on the experience of another course in mathematics numbered 211 or above. Prereq: MATH 300. Mathematical Finance majors who have not taken MATH 300 must have taken MATH 321; STAFF
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MATH 360 - Research in Mathematics I
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MATH 361: Research in Mathematics II
3.00 Credits
Knox College
(1/2 or 1) Prereq: MATH 360 or permission of instructor; Total credit for MATH 360-361 not to exceed 1 credit; O; STAFF
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MATH 361 - Research in Mathematics II
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MATH 399: Seminar in Mathematics
3.00 Credits
Knox College
An advanced study of a special topic in mathematics not substantially covered in the regular curriculum. Emphasis on student presentations and independent writing and research. Students submit a major paper and give a public lecture. Recent topics include optimization theory and the history of mathematics. Prereq: MATH 300 and senior standing or permission of the instructor; O; QL; STAFF
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MATH 399 - Seminar in Mathematics
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MCNR 200: McNair Tutorial
0.50 Credits
Knox College
(over 3 terms) Emphasis is placed on the development of each fellow's independent research project, including introductory work in the area of intended research, developing a bibliography and appropriating various research methodologies and resources. Prereq: Good standing as a McNair Fellow; STAFF
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MCNR 200 - McNair Tutorial
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