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| | GraduateProgram: Math, ASU |
 | | Sufficient statistics, complete families, minimal sufficiency; Rao-Blackwell and Lehmann-Scheffe Theorems; distributions of exponential class. |
 | | Derivative, mean value theorem, Taylor's theorem; Riemann integral and integrability, fundamental theorem of calculus; exponential, logarithmic, trigonometric functions; derivative and Riemann integral of uniformly convergent sequences, power series. |
 | | Ideals, quotient rings, homomorphisms, isomorphism theorems, integral domains, field of quotients, prime and maximal ideals, characteristic, matrix rings, Euclidean rings, polynomial rings, unique factorization theorems, extension fields, degree of an extension, roots of polynomials, finite fields. |
| math.asu.edu /%7Egrad/doc/syllabi.html (1380 words) |
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