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Course Criteria
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3.00 Credits
An introductory course covering both probability and statistics, intended primarily for undergraduate biology students. It includes a section on design of experiments as well as the usual tests of hypotheses, estimation, regression, etc. Mathematics and computer science majors receive no credit for this course. [1/2/1997]
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3.00 Credits
Vector spaces and linear transformations; systems of linear equations, bases, matrix representations of linear transforma- tions, matrix algebra, eigenvalues and eigenvectors, determin- ants, canonical forms, inner product spaces. [9/4/1996]
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3.00 Credits
Groups, cyclic groups, subgroups, product and quotient groups, homomorphisms and isomorphisms. Rings, integral domains and fields. [1/2/1997]
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3.00 Credits
A survey of functions od several variables, multiple integrals, vector calculus, line integral, surface integral, and Green's and Stokes theorem [9/4/1996]
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3.00 Credits
A continuation of MATH3237 Probability and Statistics I includ- ing Goodness of Fit Tests, Linear Models, Markov Chains, optional topics. [1/2/1997]
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3.00 Credits
An introduction to mathematical programming through the Simplex Method for linear programming and the transportation algorithm. Additional topics to be selected from nonlinear programming, queuing theory and Markov processes. [1/2/1997]
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3.00 Credits
Fourier series, derivations and solutions of the partial dif- ferential equations satisfying auxiliary conditions as applied to equations of classical mathematical physics in one and several dimensions, orthogonal functions and eigenfunctions. [9/4/1996]
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3.00 Credits
The Axiomatic approach to Euclidean and non-Euclidean geometry. Affine, projective, inversive, hyperbolic and spherical geometries according to Felix Klein's Erlangen Program. [1/2/1997]
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3.00 Credits
Vector algebra, vector calculus, gradient, divergence, curl. Line and surface integrals, Green's theorem, Stokes' theorem, divergence theorem. Vector spaces, dot products, matrices, linear equations, determinants, eigenvalues, diagonalization. [9/4/1996]
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3.00 Credits
Operators, function spaces, applications to ordinary and partial differential equations. An introduction to the theory of distributions and operational calculus. [1/2/1997]
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