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Course Criteria
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3.00 Credits
This course will provide a forum for discussing current research and classic papers in mathematical biology. Topics will be chosen that both relate to students' research experiences and broaden their knowledge of mathematical biology. The seminar will also provide a forum for discussing research with visiting scientists. It will meet twice per block for one semester. Prerequisite: Mathematics 126-Calculus I May be taken for credit twice. .5 unit - Brown.
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1.00 - 9.00 Credits
Special topics in mathematics not offered on a regular basis. (Not offered 2008-09.) 1 unit.
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3.00 Credits
A careful study of major topics in elementary number theory, including divisibility, factorization, prime numbers, perfect numbers, congruences, Diophantine equations and primitive roots. Prerequisite: Mathematics 203 or (MA 128 and Computer Science 222). 1 unit - Erickson, Watkins.
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3.00 Credits
Prerequisite: Consent of instructor. 1 unit.
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3.00 Credits
An introduction to selected quantitative models drawn from areas of biology such as ecology, genetics and physiology. For each model, the course includes an investigation of the mathematical methods, an evaluation of the model, and some elementary simulation techniques. Prerequisite: Mathematics 126 and 1 college biology course. (Meets the Critical Perspectives: Scientific Investigation of the Natural World requirement.) (Also listed as Biology 356.) 1 unit - Brown.
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3.00 Credits
Some current topics in advanced and modern geometry. Topics drawn from linear geometry, affine, inversive and projective geometries, foundations and axiomatics, transformation groups, geometry of complex numbers. (Offered alternate years.) Prerequisite: Mathematics 251. (Meets the Critical Perspectives: Scientific Investigation of the Natural World requirement.) 1 unit - Erickson.
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3.00 Credits
Vector functions, divergence and curl. Green's and Stoke's theorems, and the properties of three-dimensional curves and surfaces. Related topics from linear algebra and differential equations. Prerequisite: Mathematics 203. (Also listed as Physics 311.) 1 unit - DiCenzo.
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3.00 Credits
Probability spaces, discrete and continuous random variables, independence, expectation, distribution functions. Prerequisite: Mathematics 203. 1 unit - Janke.
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3.00 Credits
Introduction to methods for finding solutions to differential equations involving a single, independent variable. Topics include linear equations, exact solutions, series solutions. Laplace transforms, Sturm Separation and Comparison Theorems, systems of equations, and existence and uniqueness theorems. Prerequisite: Mathematics 220. 1 unit - McDougall.
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3.00 Credits
Introduction to analytical and numerical methods for finding solutions to differential equations involving two or more independent variables. Topics include linear partial differential equations, boundary and initial value problems, Fourier series solutions, finite element methods, the Laplace equation, the wave equation and the heat equation. Prerequisite: Mathematics 220. 1 unit - Brown.
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