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Course Criteria
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5.00 Credits
FALL/WINTER Prerequisites: MATH 211 and 212 or permission of the instructor. A discussion of the algebraic concepts of functions and relations from numeric, graphic and symbolic viewpoints.
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5.00 Credits
FALL Prerequisite: (1) MATH 311 or permission of the instructor; and (2) (CPLA 100 and CPLA 101) or the equivalent. Concepts from two- and three-dimensional geometry are explored and demonstrated. The course includes geometric proofs and requires the use of technology widely used in the K-12 system (and available in the Mathematics Department).
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4.00 Credits
Prerequisites: ENGL 201; MATH 225 or permission of the instructor. A historical development of mathematical ideas and methods. Emphasizes the individuals involved, the development of the intellectual activity called mathematics and the ebb and flow of mathematics in history.
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4.00 Credits
Prerequisite: MATH 225 or 301. Definition of graphs and digraphs, paths, cycles and semi paths. Types of connectedness, degrees, cutpoints and bridges. Definitions of trees, binary trees, balanced trees, ordered trees and spanning trees. Applications of the concepts to such diverse topics as electrical networks, food chains, ecological phase spaces, traffic control and colorability of maps.
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3.00 - 4.00 Credits
Prerequisite: for MATH 341: MATH 163; for MATH 342 and 343: MATH 241. Selected topics in applied mathematics such as vector analysis, complex variables, partial differential equations, etc.
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4.00 Credits
WINTER-EVEN YEARS/SPRING-ODD YEARS Prerequisites: Junior or higher standing; MATH 225 and Math 231 and a high-level computer language. (MATH 225 requires MATH 161) The course develops numerical linear algebra and error estimates essential for scientific computing: machine arithmetic, algorithms for solving systems of linear equations, algorithms for computing eigenvalues and singular values (LU, QR, Jacobi's and SVD) and the theory of error estimates through condition numbers. The course also includes such applications as the design and analysis of algorithms for floating-point arithmetic, linear regression, orthogonal linear regression, linear programming, or cubic splines, with applications to engineering and the sciences.
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4.00 Credits
FALL-ODD YEARS/WINTER EVEN YEARS Prerequisite: MATH 163. An introduction to ordinary differential equations, a nonrigorous, problem-solving approach including Laplace transforms and Fourier series with applications.
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4.00 Credits
FALL Prerequisites: MATH 225 and 231. This course develops the topology of the n-dimensional real Euclidean space. Topics include the completeness of the real numbers, topological spaces, continuity and properties preserved by continuous functions, compactness and connectedness.
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5.00 Credits
Prerequisite: (CPLA 100 and 101) or equivalent; and MATH 225. Introduction to various finite and infinite geometries, both Euclidean and non-Euclidean. The logical notions of consistency, independence, interpretation and models and completeness will be explored. Properties and theorems of each geometric system will be developed synthetically, analytically and through use of technology.
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5.00 Credits
[for university proficiencies, course may be substituted for MATH 115.] Prerequisites: MATH 105 or Mathematics Proficiency Clearance, Computer Literacy Competency Recommended. Empirical and theoretical frequency distributions. Discrete and continuous random variables. The binomial random variable and the normal. Descriptive statistics including measures of location, spread and association. An introduction to inferential statistics including confidence intervals and hypothesis testing.
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