Courses

Topics include Turing machines, computability, computational complexity, complexity classes, P vs. NP, circuit complexity, randomized computation, interactive proofs, quantum, decidability, primality testing, and other computational models.

An examination is made of the philosophical context within which of dance presented and explored as a means to developing in the student a well-considered and questions of interest to literacy educators and researchers. and to explore a possible research agenda. These topics range from for teacher preparation programs.

Linear difference equations, initial value problems, Green's functions, boundary value problems, systems, periodic solutions, nonlinear difference equations, models.

The space of test functions. The space of distributions. Main properties of distributions. Completeness of the space of distributions. Support of a distribution. Sochotzki formula. Derivatives of distributions and their properties. The structure of a distribution with a point support. Direct products and convolutions of distributions and their properties. Regularization of distributions. The space of test functions of rapid decay. The space of distributions of slow growth and their properties.

Topics include Hilbert spaces, convolution, regulaziation, Fourier series, Fourier transform, Fourier transform of the torus, Melin transform, Hankel transform, Laplace, transform, test functions, distributions, derivatives of distributions, elementary operations on distributions, convergence of distributions, fundamental solutions to partial differential equations such as the heat, wave, Schrodinger, and telegraph equations.

Countable sets, characterization of open and closed sets, Heine-Borel theorem, Riemann integral, Lebesgue measure and outer measure, measurable functions, Lebesgue integral, Fatou's lemma, and Lebesgue- dominated convergence theorem.

Equations of linear reduction to plane stress, plane strain, and generalized plane strain. Airy and love stress functions in solution of problems.

Equations of linear reduction to plane stress, plane strain, and generalized plane strain. Airy and love stress functions in solution of problems.

Static stability of bars, beams, trusses, and rigid frames. Dynamic stability of bars. Energy method applied to bucking problems. General theory of elastic stability.

Static stability of bars, beams, trusses, and rigid frames. Dynamic stability of bars. Energy method applied to buckling problems. General theory of elastic stability.