Untitled - University of New Orleans
Untitled - University of New Orleans
Untitled - University of New Orleans
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MATH 4311 Intro Mathematical Statistics<br />
3 cr.<br />
Prerequisite: MATH 2109 or 2112 or consent <strong>of</strong> department. MATH<br />
4311 is prerequisite to MATH 4312. Axiomatic probability, discrete<br />
and continuous distributions, expectation, estimation, central limit<br />
theorem, confidence intervals and tests <strong>of</strong> hypotheses, regression,<br />
Bayesian statistics, other topics.<br />
MATH 4311G Intro Mathematical Statistics<br />
3 cr.<br />
Prerequisite: MATH 2109 or 2112 or consent <strong>of</strong> department. MATH<br />
4311 is prerequisite to MATH 4312. Axiomatic probability, discrete<br />
and continuous distributions, expectation, estimation, central limit<br />
theorem, confidence intervals and tests <strong>of</strong> hypotheses, regression,<br />
Bayesian statistics, other topics.<br />
MATH 4312 Intro Mathematical Statistics<br />
3 cr.<br />
Prerequisite: MATH 2109 or 2112 or consent <strong>of</strong> department. MATH<br />
4311 is prerequisite to MATH 4312. Axiomatic probability, discrete<br />
and continuous distributions, expectation, estimation, central limit<br />
theorem, confidence intervals and tests <strong>of</strong> hypotheses, regression,<br />
Bayesian statistics, other topics.<br />
MATH 4312G Intro Mathematical Statistics<br />
3 cr.<br />
Prerequisite: MATH 2109 or 2112 or consent <strong>of</strong> department. MATH<br />
4311 is prerequisite to MATH 4312. Axiomatic probability, discrete<br />
and continuous distributions, expectation, estimation, central limit<br />
theorem, confidence intervals and tests <strong>of</strong> hypotheses, regression,<br />
Bayesian statistics, other topics.<br />
MATH 4341 Nonparametric Statistics<br />
3 cr.<br />
Prerequisite: MATH 4301 or 4304, or consent <strong>of</strong> department. Organizing<br />
and summarizing data; one-sample, two-sample, and k-sample<br />
tests; tests based on the binomial distribution; confidence intervals;<br />
Wilcoxon type tests; Kruskal-Wallis and Friedman tests; contingency<br />
tables; tests based on ranks; and Kolgoromov-Smirn<strong>of</strong>f type<br />
statistics.<br />
MATH 4341G Nonparametric Statistics<br />
3 cr.<br />
Prerequisite: MATH 4301 or 4304, or consent <strong>of</strong> department. Organizing<br />
and summarizing data; one-sample, two-sample, and k-sample<br />
tests; tests based on the binomial distribution; confidence intervals;<br />
Wilcoxon type tests; Kruskal-Wallis and Friedman tests; contingency<br />
tables; tests based on ranks; and Kolgoromov-Smirn<strong>of</strong>f type<br />
statistics.<br />
MATH 4370 Actuarial Math I<br />
3 cr.<br />
One-Time Waiver<br />
MATH 4370G Actuarial Math I<br />
3 cr.<br />
One-Time Waiver<br />
MATH 4371 Probability Theory<br />
3 cr.<br />
Prerequisite: MATH 2115 or consent <strong>of</strong> department. Discrete probability<br />
theory, Markov chains, elementary limit laws and theorems.<br />
MATH 4371G Probability Theory<br />
3 cr.<br />
Prerequisite: MATH 2115 or consent <strong>of</strong> department. Discrete probability<br />
theory, Markov chains, elementary limit laws and theorems.<br />
MATH 4372 App Stochastic Processes<br />
3 cr.<br />
Prerequisite: MATH 4311 or 4371 or consent <strong>of</strong> department. Introduction<br />
to Poisson processes, Brownian motion, branching processes,<br />
and related topics with applications.<br />
MATH 4372G App Stochastic Processes<br />
3 cr.<br />
Prerequisite: MATH 4311 or 4371 or consent <strong>of</strong> department. Introduction<br />
to Poisson processes, Brownian motion, branching processes,<br />
and related topics with applications.<br />
MATH 4380 Actuarial Mathematics<br />
3 cr.<br />
Prerequisites: MATH 2115 and MATH 2314 or consent <strong>of</strong> department.<br />
Deterministic and stochastic actuarial modeling, stochastic<br />
processes, Markov chains, the Poisson process, Brownian motion,<br />
applications <strong>of</strong> each <strong>of</strong> the above concepts to actuarial problems.<br />
MATH 4380G Actuarial Mathematics<br />
3 cr.<br />
Prerequisites: MATH 2115 and MATH 2314 or consent <strong>of</strong> department.<br />
Deterministic and stochastic actuarial modeling, stochastic processes,<br />
Markov chains, the Poisson process, Brownian motion, applications<br />
<strong>of</strong> each <strong>of</strong> the above concepts to actuarial problems.<br />
MATH 4411 Intro to Complex Analysis<br />
3 cr.<br />
Prerequisite: MATH 2115 or consent <strong>of</strong> department. Complex plane,<br />
analytic functions, Cauchy-Riemann equations, mappings by elementary<br />
functions, complex integration, Cauchy’s theorem, Cauchy<br />
integral formula and applications, Taylor series, Laurent series, isolated<br />
singularities, residue theorem and applications.<br />
MATH 4411G Intro to Complex Analysis<br />
3 cr.<br />
Prerequisite: MATH 2115 or consent <strong>of</strong> department. Complex plane,<br />
analytic functions, Cauchy-Riemann equations, mappings by elementary<br />
functions, complex integration, Cauchy’s theorem, Cauchy<br />
integral formula and applications, Taylor series, Laurent series, isolated<br />
singularities, residue theorem and applications.<br />
MATH 4511 Linear Algebra<br />
3 cr.<br />
Prerequisite: MATH 2511 or 3512. Inner product spaces, dual spaces,<br />
canonical forms, the spectral theorem, quadratic forms, operators,<br />
the classical groups, multilinear algebra and applications.<br />
MATH 4511G Linear Algebra<br />
3 cr.<br />
Prerequisite: MATH 2511 or 3512. Inner product spaces, dual spaces,<br />
canonical forms, the spectral theorem, quadratic forms, operators,<br />
the classical groups, multilinear algebra and applications.<br />
MATH 4512 Abstract Algebra<br />
3 cr.<br />
Prerequisite: MATH 3512. Ideals, Euclidean and principal ideal<br />
domains, finite fields, Sylow theorems, and solvable groups.<br />
MATH 4512G Abstract Algebra<br />
3 cr.<br />
Prerequisite: MATH 3512. Ideals, Euclidean and principal ideal<br />
domains, finite fields, Sylow theorems, and solvable groups.<br />
MATH 4518 Elementary Number Theory<br />
3 cr.<br />
Prerequisite: consent <strong>of</strong> department. Divisibility, congruences,<br />
power residues, quadratic residues, certain arithmetic functions<br />
and selected topics.<br />
MATH 4518G Elementary Number Theory<br />
3 cr.<br />
Prerequisite: consent <strong>of</strong> department. Divisibility, congruences,<br />
power residues, quadratic residues, certain arithmetic functions<br />
and selected topics.<br />
MATH 4524 Mathematical Logic<br />
3 cr.<br />
Prerequisite: MATH 2721 or 3512 or consent <strong>of</strong> department. Propositional<br />
and predicate calculus; formal systems; computability and<br />
decidability.<br />
MATH 4524G Mathematical Logic<br />
3 cr.<br />
Prerequisite: MATH 2721 or 3512 or consent <strong>of</strong> department. Propositional<br />
and predicate calculus; formal systems; computability and<br />
decidability.<br />
MATH 4611 Topology<br />
3 cr.<br />
Prerequisite: MATH 4101 or consent <strong>of</strong> department. Topological<br />
spaces, continuous maps and homeomorphisms, product spaces,<br />
connectedness, separation axioms, compactness, and metric spaces.<br />
MATH 4611G Topology<br />
3 cr.<br />
Prerequisite: MATH 4101 or consent <strong>of</strong> department. Topological<br />
spaces, continuous maps and homeomorphisms, product spaces,<br />
connectedness, separation axioms, compactness, and metric spaces.<br />
<strong>University</strong> <strong>of</strong> <strong>New</strong> <strong>Orleans</strong>/302