MTH-307 |
Real Analysis I |
An in-depth analysis of properties of the real number line , higher-dimensional Euclidean spaces and general metric spaces . Limits , sequences and series are studied . The basic theory of functions of a real variable is considered , including continuity , derivatives and integrals . |
MTH-4000 |
Mathematics Seminar - Capstone |
Research on topics related to the student ' s |
study of mathematics or its related fields . |
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Several projects / papers must be developed and |
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presented . Permission of instructor required . |
MTH-401 |
Abstract Algebra |
A course in abstract mathematics including the integers , groups , normal subgroups , quotient groups , finite abelian groups , rings , integral domains , ideals , quotient rings , fields , homeomorphisms , isomorphism , real and complex numbers , and polynomials . |
MTH-407 |
Probability Theory |
Probability as a basis for statistical theory and inference . Distributions of random variables , conditional probability , Bayes ' rule , statistical independence , mathematical expectation , probability distributions , probability densities and distribution functions of random variables , joint distributions for two or more random variables , and moment-generating functions . |