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MAT 301: PROBABILITY & STATS I
3.00 Credits
Kutztown University of Pennsylvania
Elementary probability spaces; conditional probability; general probability spaces; random variables; expectation; variance; multivariant distributions; the algebra of expectation.
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MAT 302: PROBABILITY & STATS II
3.00 Credits
Kutztown University of Pennsylvania
Probability distributions; sampling; estimation of parameters; Central Limit Theorem; confidence intervals; correlation and regression; sampling from a normal population; testing hypotheses; Markov chains. Students will be required to use appropriate computer software.
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MAT 302 - PROBABILITY & STATS II
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MAT 304: STATISTICAL PROGRAMMING
3.00 Credits
Kutztown University of Pennsylvania
This course is meant to provide in depth exposure to statistical programming, while focusing on modern statistical practices employed in the data science field. An introduction to programming in the desired software package will take place followed by hands-on experience in implementing modern statistical principles on real world datasets. The course will conclude with simulation and data management.
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MAT 304 - STATISTICAL PROGRAMMING
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MAT 305: MATHEMATICS OF FINANCE
3.00 Credits
Kutztown University of Pennsylvania
This course is an introduction to mathematics of finance. The main topics include measurement of interest, time value of money, annuities, amortization and sinking funds, bonds, capitalized cost, net present value, yield rates, yield curves, duration, immunization. A financial calculator (BA II Plus or BA II Plus Professional preferred) is required for this course.
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MAT 305 - MATHEMATICS OF FINANCE
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MAT 306: MATHEMATICS OF FINANCE II
3.00 Credits
Kutztown University of Pennsylvania
This is an introduction to financial mathematics and is a continuation course of Financial Mathematics I. The main topics include bonds, capitalized cost, net present value, yield rates, yield curves, duration, immunization, derivative products including calls, puts, forwards, and swaps. A financial calculator is required for this course.
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MAT 311: ABSTRACT ALGEBRA I
3.00 Credits
Kutztown University of Pennsylvania
Sets, relations, and functions; groups; rings; integral domains; fields; elementary theory of groups.
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MAT 311 - ABSTRACT ALGEBRA I
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MAT 312: ABSTRACT ALGEBRA II
3.00 Credits
Kutztown University of Pennsylvania
Extension of Abstract Algebra I topics; permutation groups; normal sub-groups and quotient groups; rings and ideals; ring homomorphisms; quotient rings, integral domains and their fields of quotients; fields; polynomial rings.
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MAT 321: COMBINATORICS
3.00 Credits
Kutztown University of Pennsylvania
This is an introductory course in combinatorics. Topics include introductory and advanced counting techniques, graph theory, and selected topics chosen from recurrence relations, generating functions and integer partitions, and extremal combinatorics.
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MAT 321 - COMBINATORICS
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MAT 325: APPLIED TIME SERIES ANALYSIS
3.00 Credits
Kutztown University of Pennsylvania
This course presents the fundamental knowledge of time series analysis for both theory and applications. Topics include exploratory data analysis tools, methods for detrending, and seasonal adjustment of data, smoothing techniques such as exponential smoothing, modeling and forecasting based on the ARIMA models. Examples will be drawn from a variety of disciplines including business, finance, economics, and biology. Statistical packages will be used for data analysis.
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MAT 325 - APPLIED TIME SERIES ANALYSIS
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MAT 327: DESIGN & ANALYSIS EXPERIMENTS
3.00 Credits
Kutztown University of Pennsylvania
This course presents proper design and analysis of experiments, including completely randomized designs, designs with factorial treatment structure, random and mixed effects, complete and incomplete blocked designs, Latin Squares, confounding, split plots, fractional factorials, and response surfaces. Examples from a broad range of subject areas will be presented.
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MAT 327 - DESIGN & ANALYSIS EXPERIMENTS
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