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  • MATH 421: Mathematical Analysis II

    3.00 Credits
    Marist College

    Three Credits LA This course undertakes a rigorous study of the inverse and implicit function theorems, the Riemann integral and the Fundamental Theorem of Calculus, the integration of forms, and Stokes Theorem. If time permits, an introduction to Lebesgue integration will be given. Proofs of elementary theorems will be expected of the student. Offered upon sufficient student demand. Prerequisite: MATH 420
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  • MATH 422-423: Applied Mathematics

    3.00 Credits
    Marist College

    Three Credits each LA These courses consider selected applied topics from at least four of the following areas: ordinary and partial differential equations; matrices; complex variables; Fourier series; Laplace transforms; the algebra and calculus of vectors; and numerical methods. Offered upon sufficient student demand. Prerequisites: MATH 210, MATH 343
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  • MATH 424: Complex Analysis

    3.00 Credits
    Marist College

    Three Credits LA This course investigates the theory of functions of a single complex variable, considering continuity, differentiability, the Cauchy-Riemann equations, analytic functions, complex integration, Cauchy's Theorem, Taylor' s Theorem, Taylor and Laurent series, residue theory, conformal mapping, and harmonic functions. Offered upon sufficient student demand. Prerequisites: MATH 310, MATH 343
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  • MATH 430: Operations Research

    3.00 Credits
    Marist College

    Three Credits LA This course introduces the basic ideas and methods of operations research, considering topics selected from linear programming and the simplex method; transportation problems; sensitivity analysis; graphs and networks; CPM; PERT; dynamic programming; game theory; Markov chains; queuing; birth and death processes; inventory theory; simulation; and computer considerations. Offered biennially in the fall. Prerequisite: MATH 210
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  • MATH 440: Numerical Analysis

    3.00 Credits
    Marist College

    Three Credits LA This course studies the design and implementation of numerical algorithms for computing devices, considering number systems and error analyses; nonlinear equations; systems of linear equations; matrix operations including inversion and eigenvalue problems; interpolation; differentiation and integration; ordinary differential equations; and difference methods for some partial differential equations. Offered upon sufficient student demand. Prerequisites: MATH 343 and proficiency in a programming language
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  • MATH 441: Combinatorics

    3.00 Credits
    Marist College

    Three Credits LA This course introduces the concepts and techniques used when analyzing discrete mathematical structures and relations. The topics covered include counting principles, the Inclusion-Exclusion Principle, recurrence relations, topics from graph theory, and generating functions. As time permits, topics from finite geometry, Ramsey Theory, matroids, or block designs may be investigated. Offered biennially in the spring. Prerequisite: MATH 310 or by permission of instructor
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  • MATH 450: Fundamental Concepts of Geometry

    3.00 Credits
    Marist College

    Three Credits LA This course provides an introduction to the concepts of geometry, with an emphasis on the relationship between algebra and geometry. Euclidean plane geometry is studied in terms of various transformations and their groups. This is followed by a systematic treatment of affine and projective spaces over fields and a brief survey of other geometries. Offered at least biennially in the fall. Prerequisites: MATH 210, MATH 310, MATH 343
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  • MATH 451: Elementary Topology

    3.00 Credits
    Marist College

    Three Credits LA This course introduces the basic concepts of point-set topology, beginning with the notions of metric and topological spaces and the definitions of a continuous function and a homeomorphism. Subspace, product, and quotient topologies are introduced, and the fundamental topological features of connectedness, compactness, and the Hausdorff separation property are studied. Additional topics in point-set, geometric, or algebraic topology may be included according to the interests of the instructor and the class. Offered upon sufficient student demand. Corequisite: MATH 410 or 420
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  • MATH 452: Foundations of Mathematics

    3.00 Credits
    Marist College

    Three Credits LA This course considers mathematical systems, mathematical logic and proof, the real number system, and topics in the philosophy of mathematics. Offered upon sufficient student demand. Prerequisites: MATH 210, MATH 343, or permission of the instructor
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  • MATH 470-471: Advanced Topics in Mathematics I-II

    3.00 Credits
    Marist College

    Three Credits each LA These courses are designed for upper-level mathematics students. The course format is flexible and will be chosen to respond to the needs of the students participating and the nature of the subject being studied. The topics considered must have upper-level prerequisites, but may otherwise be chosen to satisfy student and faculty interests. Offered upon sufficient student demand. Prerequisite: Permission of instructor
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