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MATH 501: Introduction to Analysis
3.00 Credits
Jacksonville University
Three hours per week. A study of real numbers and the important theorems of differential and integral calculus. Proofs are emphasized, and a deeper understanding of calculus is stressed. Attention is paid to calculus reform and the integrated use of technology.
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MATH 501 - Introduction to Analysis
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MATH 502: Survey of Geometries
3.00 Credits
Jacksonville University
Three hours per week. An examination of Euclidean and non-Euclidean geometries. Transformational and finite geometries.
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MATH 502 - Survey of Geometries
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MATH 503: Probability & Statistics
3.00 Credits
Jacksonville University
Three hours per week. Probability theory and its role in decision-making, discrete and continuous random variables, hypothesis testing, estimation, simple linear regression, analysis of variance and some nonparametric tests. Attention is paid to statistics reform and the integrated use of technology.
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MATH 503 - Probability & Statistics
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MATH 504: Special Topics
3.00 Credits
Jacksonville University
Three hours per week. May be repeated for credit when topic changes. Course content will vary depending on needs and interests of students.
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MATH 504 - Special Topics
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MATH 507: Number Theory
3.00 Credits
Jacksonville University
Three hours per week. An introduction to classical number theory. Topics include modular arithmetic, the Chinese Remainder Theorem, primes and primality testing, Diophantine equations, multiplicative functions and continued fractions.
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MATH 507 - Number Theory
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MATH 508: Introduction to Mathematical Modeling
3.00 Credits
Jacksonville University
Three hours per week. An introduction to mathematical modeling of real world problems. Growth models, dynamical models and difference equations, curve fitting, optimal solutions.
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MATH 508 - Introduction to Mathematical Modeling
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MATH 510: Seminar in the History of Mathematics
3.00 Credits
Jacksonville University
Three hours per week. Important episodes, problems and discoveries in mathematics, with emphasis on the historical and social contexts in which they occurred.
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MATH 510 - Seminar in the History of Mathematics
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MATH 515: Combinatorics
3.00 Credits
Jacksonville University
Three hours per week. A survey of the essential techniques of combinatorics. Applications motivated by the fundamental problems of existence, enumeration and optimization.
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MATH 515 - Combinatorics
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MATH 520: Linear Algebra
3.00 Credits
Jacksonville University
Three hours per week. Applications of concepts in linear algebra to problems in mathematical modeling. Linear systems, vector spaces and linear transformations. Special attention will be paid to pedagogical considerations.
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MATH 520 - Linear Algebra
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MATH 531: Theory of Ordinary Differential Equations
3.00 Credits
Jacksonville University
Three hours per week. Existence and uniqueness theorems. Qualitative and analytic study of ordinary differential equations, including a study of first and second order equations, first order systems and qualitative analysis of linear and nonlinear systems. Modeling of real world phenomena with ordinary differential equations.
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MATH 531 - Theory of Ordinary Differential Equations
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