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MATH 364: Linear Algebra II
3.00 Credits
Massachusetts College of Liberal Arts
Examines the study of transformation relative to different bases and their relationship to matrices. Topics will include orthogonal matrices, similar matrices, and applications to differential equations. Prereq: MATH 261
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MATH 364 - Linear Algebra II
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MATH 372: History of Mathematics
3.00 Credits
Massachusetts College of Liberal Arts
Examines the historical development of mathematics and its impact from ancient to modern times. Prereq: MATH 320
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MATH 372 - History of Mathematics
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MATH 380: Differential Equations
3.00 Credits
Massachusetts College of Liberal Arts
Examines first- and second-order differential equations with particular emphasis on nth order equations with constant coefficients, differential operators, systems of equations, series solutions, and Laplace transforms. Prereq: MATH 330 and either CSCI 121 or CSCI 148
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MATH 380 - Differential Equations
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MATH 390: Numerical Analysis
3.00 Credits
Massachusetts College of Liberal Arts
Studies the approximation of polynomials at points and over intervals; numerical solutions of algebraic and transcendental equations in one unknown using geometric and arithmetic methods; numerical differentiation; and integration. Prereq: MATH 320
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MATH 390 - Numerical Analysis
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MATH 430: Calculus IV
3.00 Credits
Massachusetts College of Liberal Arts
Concludes the four-semester sequence of calculus with the study of functions in two or more variables, their derivatives and partial derivatives, multiple integrals , line and surface integrals, Green's Theorem, and Stoke's Theorem. Prereq: MATH 330
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MATH 430 - Calculus IV
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MATH 440: Topology
3.00 Credits
Massachusetts College of Liberal Arts
Covers various topological spaces. Continuity, connectedness, and compactness are analyzed and compared. Applications of continuity will be applied to the contraction mapping principle. Analysis of product spaces and quotient spaces. Alternate topics may be discussed. Prereq: MATH 430
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MATH 440 - Topology
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MATH 444: Operations Research
3.00 Credits
Massachusetts College of Liberal Arts
Covers various interrelated topics such as linear programming, network analysis, game theory, probablilty and queing theory, and optimization theory. Prereq: MATH 430
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MATH 444 - Operations Research
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MATH 455: Complex Variables
3.00 Credits
Massachusetts College of Liberal Arts
Studies the basic theory of functions of a complex variable including complex numbers and their algebra; analytic functions; Cauchy-Riemann conditions; and the differential and integral calculus of analytic functions. Prereq: MATH 430
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MATH 455 - Complex Variables
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MATH 460: Real Analysis I
3.00 Credits
Massachusetts College of Liberal Arts
Examines the basis of calculus with a rigorous exploration of the function concept from both a set-theoretic and topological viewpoint with particular attention to the completeness of the real number system, limits, continuity and convergence of sequences and series. Prereq: MATH 430
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MATH 460 - Real Analysis I
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MATH 486: Special Topics in Mathematics
3.00 Credits
Massachusetts College of Liberal Arts
Introduces theory that is an extension of various upper-division mathematics courses. Special topics may explore, but are not restricted to: analysis, geometry, and theory related to modern technology. Prereq: To be determined by the instructor
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MATH 486 - Special Topics in Mathematics
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