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800:166: Advanced Euclidean Geometry
3.00 Credits
University of Northern Iowa
Topics of plane geometry beyond a first course; compass and straightedge constructions, the nine-point circle, Ceva's and Menelaus' theorems, triangle centers, conics, and tessellations. Prerequisite(s): 800:060 or equivalent; junior standing. (Offered Fall)
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800:166 - Advanced Euclidean Geometry
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800:167: Topology I
3.00 Credits
University of Northern Iowa
Introductory study of metric spaces, completeness, topological spaces, continuous functions, compactness, connectedness, separability, product, and quotient spaces. Prerequisite(s): 800:062; 800:076; junior standing. (Offered Even Falls)
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800:167 - Topology I
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800:168: Topology II
3.00 Credits
University of Northern Iowa
Continuation of 800:167. Two- and n-dimensional manifolds, orientable manifolds, the fundamental group of a space, free groups, covering spaces, application to geometry and knot theory. Prerequisite(s): 800:160; 800:167; junior standing. (Variable)
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800:168 - Topology II
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800:169: Mathematical Logic
3.00 Credits
University of Northern Iowa
Introduction to semantics and syntax of propositional and predicate calculus; applications to electrical networks and analysis of formal mathematical theories. Prerequisite(s): 800:060; junior standing. (Variable)
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800:169 - Mathematical Logic
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800:170: Loss Models
3.00 Credits
University of Northern Iowa
Applied probability methods used in modeling loss. Loss distributions, aggregate loss models, credibility theory and long term models. Prerequisite(s): 800:152; 800:174; junior standing. (Offered Odd Falls)
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800:170 - Loss Models
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800:171: Spatial Data Analysis
3.00 Credits
University of Northern Iowa
Analysis and interpretation of spatial point processes, area, geostatistical and spatial interaction data. Applications to geographic data in real estate, biology, environmental, and agricultural sciences using S-Plus software. Prerequisite(s): 800:072 or 980:080; junior standing. ( Same as 970:160g) ( Offered Odd Springs)
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800:171 - Spatial Data Analysis
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800:172: Statistical Methods
3.00 Credits
University of Northern Iowa
Descriptive statistics including graphical representation, central tendency and variation, correlation and regression; elementary probability; problems of estimation and hypothesis testing from an intuitive approach; use of statistical packages such as SAS or SPSS. Students with credit in 800:072 or 800:174 may not enroll in 800:172. Prerequisite(s): junior standing. (Variable)
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800:172 - Statistical Methods
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800:173: Probability and Statistics
3.00 Credits
University of Northern Iowa
Descriptive statistics and graphical representations, basic concepts of probability and distributions, random variables, expectations, sampling theory, tests of statistical significance. Calculus is employed in developing and applying these ideas. Specific attention devoted to the use of technology in motivating and explaining concepts and techniques. Emphasis on applications appropriate for secondary school probability/statistics courses. No credit with credit in 800:172. Prerequisite(s): 800:061. (Offered Fall and Even Springs)
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800:173 - Probability and Statistics
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800:174: Introduction to Mathematical Statistics
3.00 Credits
University of Northern Iowa
Sampling distribution theory, point and interval estimation, Bayesian estimation, statistical hypotheses including likelihood ratio tests and chi-square tests, selected nonparametric methods. Prerequisite(s): 800:062; 800:152; junior standing. (Offered Spring)
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800:174 - Introduction to Mathematical Statistics
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800:175: Regression Analysis
3.00 Credits
University of Northern Iowa
Regression analysis, analysis of variance, time series methods. Prerequisite(s): 800:174; junior standing. (Offered Fall)
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800:175 - Regression Analysis
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