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Course Criteria
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1.00 Credits
Systematic methods and approaches for rapid and accurate solutions of problems arising in elementary algebra, calculus, and analysis. Prerequisite: Consent of instructor or 158.
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1.00 Credits
Continuation of 168 with the problems to be solved coming from mathematical statistics. Prerequisite: Consent of instructor or 190.
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3.00 Credits
Algebraic structures applicable to computer science; semigroups, graphs, lattices, Boolean algebras, and combinatorics. Prerequisite: 157.
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3.00 Credits
Initial value problems, existence and uniqueness of solutions, properties of solutions boundary value problems, Sturm-Liouville systems, and orthogonal expansions. Prerequisites: 159 and 180.
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3.00 Credits
Elements theory of algebraic number theory. Prerequisite: 197.
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3.00 Credits
Complex numbers and their geometry, plane topology, limits, continuity, differentiation, Cauchy-Riemann equations, analytic functions, series, Cauchy theorems, contour integration, and residue theory. Prerequisite: 195.
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3.00 Credits
Calculus in Euclidean space, vector fields, geometry of surfaces, and curves. Prerequisites: 158 and 180.
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3.00 Credits
Complexes, homology, surface topology, and the classical groups. Prerequisite: 197 and 199.
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3.00 Credits
Samples spaces, random variables, distributions, expectation, independence, law of large numbers. Prerequisite: 158.
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3.00 Credits
Continuation of 189. Includes estimation, order statistics, sufficient statistics, test of hypotheses, and analysis of variance. Prerequisite: 189.
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