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Course Criteria
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3.00 Credits
Prerequisite: MATH 221. A survey of recent developments in geometry. Topics vary and may include such subjects as the geometry of curves and surfaces, singularity and catastrophe theory, geometric probability, integral geometry, convex geometry, and the geometry of space-time.
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4.00 Credits
Prerequisites: MATH 221 and 222. Analysis, implementation, and applications of algorithms for solving equations, fitting curves, and numerical differentiation and integration. Theorems and proofs are complemented by hands-on programming exercises fostering a concrete understanding of accuracy, efficiency and stability, as well as an awareness of potential pitfalls in machine arithmetic. No previous programming experience is required. Siehler.
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4.00 Credits
Prerequisite: MATH 122 or 222. Graphs and digraphs, trees, connectivity, cycles and traversability, and planar graphs. Additional topics selected from colorings, matrices and eigenvalues, and enumeration.
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3.00 Credits
Prerequisite: MATH 301 or permission of the instructor. Topics include prime numbers, Euclidean algorithm, congruences, Chinese Remainder Theorem, Fermat’s Little Theorem, Euler’s Theorem, arithmetic functions, Euler’s phi function, perfect numbers, the quadratic reciprocity law, continued fractions, and other topics as time and student interest permit.
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4.00 Credits
Prerequisite: MATH 322. The application of mathematics to puzzles and games. A brief survey on the designs of tournaments. The puzzles and games include but are not limited to the Rubik’s Cube, poker, blackjack, and peg solitaire. Dymà cek.
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3.00 Credits
Prerequisite: Permission of the department. Readings and conferences for a student or students on topics agreed upon with the directing staff. May be repeated for degree credit with permission and if the topics are different. Staff. Note: Note: Seminar and research offerings are contingent upon the demonstrated need and aptitude of the student for independent work in mathematics and upon the availability of departmental resources.
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1.00 Credits
MATH 401 - Directed Individual Study Credits: 1 Prerequisite: Permission of the department. Individual conferences. May be repeated for degree credit with permission and if the topics are different.
Topic for Winter 2011:
MATH 401: Directed Individual Study: Introduction to Actuarial Science (1). Pass/Fail only. Preparation for the Course P Actuary Exam of the Society of Actuaries. Topics to include probability, statistics, moment generating functions, probability distribution functions, and more. Dresden.
Topics for Fall 2010:
MATH 401: Directed Individual Study: Mathematics of Puzzles and Games (1). In this course, the students examine some of the games that were only briefly studied in MATH 369 during Spring 2010 and investigate other games to see if they are suitable for study when MATH 369 is offered again. Dymà cek.
MATH 401: Directed Individual Study: Pattern Classification (1). A cursory view of the statistical inference and pattern recognition algorithms of the seminal book Pattern Classification by Duda/Hart/Stork. Topics covered include Bayesian inference, neural networks and support vector machines. Throughout, we discuss and validate the application of said techniques to historical stock-market data and to a virtual portfolio in real time. Stough.
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2.00 Credits
MATH 402 - Directed Individual Study Credits: 2 Prerequisite: Permission of the department. Individual conferences. May be repeated for degree credit with permission and if the topics are different.
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3.00 Credits
MATH 403 - Directed Individual Study Credits: 3 Prerequisite: Permission of the department. Individual conferences. May be repeated for degree credit with permission and if the topics are different.
Topic for Fall 2010:
MATH 403A (3): Directed Individual Study - Statistics in Basketball. Assessing the impact of offensive rebounds and turnovers on basketball-game outcomes. Vinson.
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1.00 Credits
MATH 421 - Directed Individual Research Credits: 1 Prerequisite: Permission of the department. Directed independent work in mathematics, especially for honors candidates. May be repeated for degree credit with permission and if the topics are different.
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