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MATH 5720: Introduction to Mathematical Statistics
3.00 Credits
Utah State University
Basic theory of point and interval estimation and hypothesis testing. Topics include: sufficiency and completeness; method-of-moments, best unbiased, maximum likelihood, Bayes', and empirical Bayes' estimators; Neyman-Pearson lemma; and likelihood ratio tests. Prerequisite/Restriction: C- or better in MATH 5710.
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MATH 5760: Applied Stochastic Processes
2.00 Credits
Utah State University
This course introduces students to the basics of stochastic processes without using the machinery of measure theory. Topics include discrete and continuous time Markov processes and an introduction to stochastic differential equations. Prerequisite/Restriction: MATH 5710 with a C- or better
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MATH 5810: Topics in Mathematics
1.00 - 3.00 Credits
Utah State University
This course explores a particular topic in greater depth and with narrower focus than a conventional course. Prerequisite/Restriction: Instructor permission. Repeatable for credit.
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MATH 5820: Topics in Mathematics
1.00 - 3.00 Credits
Utah State University
This course explores a particular topic in greater depth and with narrower focus than a conventional course. Prerequisite/Restriction: Instructor permission. Repeatable for credit.
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MATH 5910: Directed Reading and Conference
1.00 - 3.00 Credits
Utah State University
This course consists of directed readings on specific topics. Prerequisite/Restriction: Prior arrangement with a specific instructor. Repeatable for credit.
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MATH 5910 - Directed Reading and Conference
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MATH 5950: Honors Senior Project
1.00 - 4.00 Credits
Utah State University
A senior project required for completion of the departmental honors program. Prerequisite/Restriction: Instructor permission. (F,Sp,Su)
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MATH 6110: Differential Geometry
3.00 Credits
Utah State University
Topics include manifolds, calculus on manifolds, tensor calculus and differential forms, Lie groups, Riemannian geometry, deRham's Theorem, and Hodge theory. Prerequisite/Restriction: C- or better in MATH 5110 or MATH 5220; MATH 6110 must be completed prior to MATH 6120.
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MATH 6120: Differential Geometry
3.00 Credits
Utah State University
Topics include manifolds, calculus on manifolds, tensor calculus and differential forms, Lie groups, Riemannian geometry, deRham's Theorem, and Hodge theory. Prerequisite/Restriction: C- or better in MATH 5110 or MATH 5220; MATH 6110 must be completed prior to MATH 6120.
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MATH 6210: Real Analysis
3.00 Credits
Utah State University
Measure theory, abstract integration, differentiation, introduction to functional analysis, Hilbert and Banach spaces. Prerequisite/Restriction: C- or better in MATH 5210; MATH 6210 must be completed prior to MATH 6220.
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MATH 6220: Real Analysis
3.00 Credits
Utah State University
Measure theory, abstract integration, differentiation, introduction to functional analysis, Hilbert and Banach spaces. Prerequisite/Restriction: C- or better in MATH 5210; MATH 6210 must be completed prior to 6220.
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