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M 240: Calculus of Several Variables
4.00 Credits
University of Hartford
Vectors in three dimensions, curves and parametric equations in three dimensions, geometry of surfaces, differential calculus of functions of more than one variable with applications, multiple integrals and their applications, the differential and integral calculus of vector fields. Prerequisite: M 145.
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M 240 - Calculus of Several Variables
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M 242: Differential Equations
3.00 Credits
University of Hartford
Solutions of first-order linear, separable equations and applications; higher-order linear equations and applications. Nonhomogeneous equations; Laplace transforms and initial value problems; matrices, eigenvalues, and linear systems of differential equations. Qualitative analysis of equilibria and bifurcations. Prerequisite: M 145.
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M 242 - Differential Equations
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M 246: Applied Mathematics with Differential Equations for Civil Engineers
4.00 Credits
University of Hartford
Matrix algebra; first- and second-order linear differential equations, including numerical methods; an introduction to partial differential equations, including numerical methods; an introduction to probability and statistics. (A student may not receive credit for both this course and either M 242 or M 344.) Prerequisite: M 240.
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M 246 - Applied Mathematics with Differential Equations for Civil Engineers
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M 260: Data Analysis
4.00 Credits
University of Hartford
An introduction to exploratory and confirmatory data analysis. Classical, portable, and robust statistical methods. Emphasis on model-building, analysis, interpretation, and refinement using statistical software (Minitab, SAS, BMDP, SPSSx). Prerequisite: M 145.
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M 260 - Data Analysis
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M 310: History of Mathematics
3.00 Credits
University of Hartford
A historical study of the principal mathematicians of the past 2,500 years and their contributions to the development and growth of the various fields of mathematics. Prerequisite: M 222W or permission of instructor.
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M 310 - History of Mathematics
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M 320: Theory of Numbers
3.00 Credits
University of Hartford
Investigation of the arithmetic properties of the integers. Unique factorization, congruences, quadratic reciprocity, and other topics will be treated. Prerequisite: M 222W.
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M 320 - Theory of Numbers
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M 340: Introductory Analysis
3.00 Credits
University of Hartford
A rigorous treatment of differentiation and Riemann integration. Topology of the real line, real-valued sequences and their limits, continuity of realvalued sequences and their limits, continuity of real-valued functions, the Mean Value Theorem, a rigorous definition of the definite (Riemann) integral and proofs of its elementary properties, the Fundamental Theorem of Calculus. Other topics may include sequences of functions, series, or function spaces. Prerequisite: M 222W.
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M 340 - Introductory Analysis
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M 344: Advanced Engineering Mathematics
3.00 Credits
University of Hartford
Series solutions of ordinary differential equations and Bessel functions, Sturm-Liouville systems, and Fourier Series. Partial differential equations in Cartesian and cylindrical coordinates. Prerequisites: M 240 and M 242.
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M 344 - Advanced Engineering Mathematics
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M 350: Numerical Analysis
3.00 Credits
University of Hartford
Floating point arithmetic; algorithms and error analysis; roots of nonlinear equations; systems of linear equations; direct methods, factorization schemes, and iterative techniques; interpolation: difference schemes, splines; numerical differentiation and integration; solutions of ordinary differential equations; the matrix eigenvalue problem. Prerequisites: M 145, M 220, and CS 114.
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M 350 - Numerical Analysis
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M 354: Studies in Mathematical Modeling
3.00 Credits
University of Hartford
The process of developing and simulating mathematical models of real-world phenomena will be studied. The types of models considered will vary from year to year. They may include discrete and continuous dynamical models, stochastic models, neural networks, and optimization models. Applications may be to the natural sciences, management science, engineering, or industry. With departmental permission, the course may be repeated for credit. Prerequisite: M 240 or permission of instructor.
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M 354 - Studies in Mathematical Modeling
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