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Course Criteria
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3.00 Credits
This course covers the historical roots of elementary mathematics: arithmetic, algebra, geometry, and number systems. It discusses the origins of many topics in the elementary and high school mathematics curricula. It considers this history as a part of a cultural heritage and is particularly appropriate for the prospective teacher of mathematics.
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3.00 Credits
This course will cover various theorems, algorithms, applications, and open questions in number theory. This course is a blending of the theoretical and computational components of number theory. The core topics will include divisibility, primes, and congruences and will expand upon these concepts from discrete mathematics.
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3.00 Credits
This course provides a self-contained introduction to cryptography. The underlying mathematical problems utilized in various cryptographic protocols and the necessary algorithms will be analyzed. The notion of computational complexity and its importance in cryptography and cryptanalysis will be introduced.
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3.00 Credits
This course prepares students for actuarial Exam FM. Emphasis is on calculating present and accumulated values for various streams of cash flows: reserving, valuation, pricing, asset/liability management, investment income, capital budgeting, and valuing contingent cash flows. Topics include time value of money, annuities, loans, bonds, and rates.
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3.00 Credits
This course will focus on a specific topic in Mathematics suitable for advanced students. The content will vary from semester to semester according to interests of the students and faculty. Students may repeat this course up to three times for different topics.
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1.00 Credits
This course introduces literature in mathematics and mathematics education. Students will read a collection of articles or chapters with topics ranging from history, applications, and creativity, to research in math education and the nature of mathematics. They will write short papers and pick a topic for senior seminar.
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3.00 Credits
This course covers the formulation, analysis, and interpretation of mathematical models in the natural sciences, the social sciences, industry, and medicine. Students will gain familiarity with problem-solving techniques employed throughout applied mathematics and a wide variety of disciplines.
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3.00 Credits
This course is designed for the certificate in Data Science to provide hands-on experience in the area of data science. This experience will enable students to apply their knowledge of data science and provide valuable experience in the application of methods studied within the program that should enhance their job opportunities upon graduation. Students will receive experience with real world data. Analysis will be completed using SAS.
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3.00 Credits
This course develops a depth and breadth in the following mathematical domains: Number, Algebra, Geometry, Trigonometry, Statistics, Probability, Calculus, and Discrete Math. It emphasizes the ability to apply the mathematical processes of problem solving, to reason and communicate using precise mathematical language, and to engage in modeling.
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3.00 Credits
This course gives a rigorous development of the basic theory of linear algebra by building upon the concepts introduced in Linear Algebra I. Topics include inner product spaces, orthogonality, linear transformations, eigenvalues, and decomposition of matrices. Various applications of these topics will be explored.
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