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Course Criteria
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2.00 Credits
I, II. 3 Hr. PR: PHIL 260. Continuation of PHIL 260, covering relational logic and identity. Additional topics may include alternative methods and systems of logic such as proof trees, axiom systems, alternative operators, modal and many-valued logics, and set theory. (Not offered on a regular basis.)
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3.00 Credits
I. 3 Hr. PR: MATH 155. Development of mathematics through calculus, with emphasis on mathematical theories and techniques of each period and their historical evolution.
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3.00 Credits
PR: One year of high school algebra. Covers the material of high school algebra through quadratics. Credits earned in MATH 22 are not counted in the 64 hours required for graduation in pre-baccalaureate programs at Potomac State College. (Not offered on the Morgantown campus–several alternative options are available, including a non-credit, student- funded Pre-College Algebra Workshop, which is designed specifically to prepare students for College Algebra.)
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3.00 Credits
No course description available.
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3.00 Credits
I. 3 Hr. PR: MATH 156. Data manipulation, data visualization in two and three dimensions including animation, scientific programming using a high level language, symbolic manipulators and other packages. Applications to problems in mathematics and statistics. (Equiv to STAT 222.)
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3.00 Credits
I. 3 Hr. PR: MATH 156 or consent. (For prospective high school mathematics teachers.) Foundations of geometry. Special topics from Euclidean, projective, and non-Euclidean geometries.
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4.00 Credits
I, II, S. 4 Hr. PR: MATH 156. Introduction to solid analytic geometry, vector algebra, matrix algebra, calculus of several variables.
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4.00 Credits
I, II, S. 4 Hr. PR: MATH 251. Ordinary differential equations, Laplace transforms, partial differential equations, Fourier series, applications.
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1.00 Credits
I. 3 Hr. PR: PHIL 260 or consent. The axiomatic method, "naive," and axiomatic set theory, Russell'Paradox, infinity and uncountability, the "reduction" of mathematics to set theory, introduction to the consistency and completenessof logic, and Godel's proof of the incompleteness of arithmetic. (Equiv. to PHIL 360.) (Not offered on a regular basis.)
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3.00 Credits
I, II. 3 Hr. PR: MATH 156 or consent. Elementary logic, basic theory, relations and functions, equivalence relations and decomposition of sets, order relations, cardinality. Emphasis on learning to prove theorems.
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