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MATH 5112: Introduction to Abstract Algebra
3.00 Credits
Columbus State University
Prerequisite: MATH 5111 with a grade of C or better. A continuation of group theory as well as study of rings, integral domains, and fields.
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MATH 5112 - Introduction to Abstract Algebra
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MATH 5114: Set Theory
3.00 Credits
Columbus State University
Prerequisite: MATH 1132 with a grade of C or better. This course is an introduction to intuitive set theory. Topics include sets, operations for sets, relations, equivalence relations, functions, ordering relations, natural numbers, cardinal numbers, and countable sets. Emphasis will be placed on the extension of the natural numbers to the real numbers. This includes Cantor's definition of the real numbers and a detailed study of the properties of the real numbers.
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MATH 5114 - Set Theory
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MATH 5116: Number Theory
3.00 Credits
Columbus State University
Prerequisite: MATH 3155 with a grade of C or better. Congruences, algebraic number fields, and prime number theorems.
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MATH 5116 - Number Theory
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MATH 5117: Applied Multivariate Analysis
3.00 Credits
Columbus State University
Prerequisites: STAT 3127 with a grade of C or better. Applied multivariate methods, sample correlations, multivariate date plots, eigenvalues and eigenvectors, principle components analysis, factor analysis, discriminant analysis, logistic regression methods, cluster analysis, mean vectors and variance-covariance matrices, multivariate analysis of variance, prediction models.
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MATH 5117 - Applied Multivariate Analysis
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MATH 5121: Actuarial Mathematics
3.00 Credits
Columbus State University
Prerequisite: MATH 3108 with a grade of C or better. An introduction to risk management in property/casualty and life insurance. Survival distributions, life insurance, life annuities, benefit premiums and reserves, multiple life and decrement models of calculus. Applications of probability.
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MATH 5122: Actuarial Mathematics
3.00 Credits
Columbus State University
Prerequisite: MATH 5121 with a grade of C or better. Individual and collective risk models, compound distributions, including applications such as stop-loss reinsurance.
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MATH 5122 - Actuarial Mathematics
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MATH 5125: Discrete Mathematics
3.00 Credits
Columbus State University
Prerequisites: MATH 1132 with a grade of C or better or MATH 2125 with a grade of C or better. Topics include enumeration, relations, graphs, trees, and modeling computation.
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MATH 5135: College Geometry
3.00 Credits
Columbus State University
Prerequisite: MATH 1132 with a grade of C or better. Axiomatic development of plane geometry and discussion of non-Euclidean geometry.
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MATH 5135 - College Geometry
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MATH 5151: Introduction to Real Analysis
3.00 Credits
Columbus State University
Prerequisite: MATH 3155 with a grade of "C" or better. Topology of real line, sequences, convergent sequences, monotone sequences, Cauchy sequences, limits of functions, continuous functions, the derivative, the Mean Value Theorem, L'Hospital's rule, and Taylor's theorem.
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MATH 5151 - Introduction to Real Analysis
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MATH 5152: Introduction to Real Analysis
3.00 Credits
Columbus State University
Prerequisite: MATH 5151 with a grade of "C" or better. The Riemann Integral, the properties of the Riemann Integral, the Fundamental Theorem of Calculus, Infinite Series, convergence of infinite series, convergence tests, power series, sequences and infinite series of functions.
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MATH 5152 - Introduction to Real Analysis
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