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92.302: Introduction to Applied Mathematics IICredits
3.00 Credits
University of Massachusetts-Lowell
3 Introduces students to matrix algebra, solution of systems of linear equations, eigenvalues and eigenvectors, solution of differential equations by matrix methods, series solution of differential equations, Bessel and Legendre functions, and Sturm-Liouville problems. Pre-Reqs: 92.231 Calculus III & 92.234 Differential Equations or 92.236 Eng Differential Equations
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92.302 - Introduction to Applied Mathematics IICredits
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92.305: Introduction to Real Analysis ICredits
3.00 Credits
University of Massachusetts-Lowell
3 Presents real and complex number systems. Sequences and series of complex numbers. Theory of metric spaces: completeness, compactness, continuity, uniform continuity. Differentiability of functions, and Taylor's Theorem. Pre-Req: 92.221 Linear Algebra I and 92.231 Calculus III
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92.305 - Introduction to Real Analysis ICredits
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92.307: Probability and Mathematical Statistics ICredits
3.00 Credits
University of Massachusetts-Lowell
3 Probability, random variables, discrete and continuous densities, expectation and variance, special distributions (binomial, Poisson, normal, gamma, etc.), moment generating functions, joint and conditional distributions, transformations of variables, sampling, central limit theorem.
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92.307 - Probability and Mathematical Statistics ICredits
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92.308: Probability and Mathematical Statistics ICredits
3.00 Credits
University of Massachusetts-Lowell
3 Point estimation and confidence intervals, hypothesis testing, correlation, linear regression, analysis of variance for the one- and two-way design, nonparametric methods, chi-square tests for contingency tables.
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92.308 - Probability and Mathematical Statistics ICredits
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92.318: Mathematics MentoringCredits
3.00 Credits
University of Massachusetts-Lowell
3 A two-part learning course. The first half of the semester takes place in the classroom with students working on a methematics project. The function of the project is to learn some mathematics and serve as a model for how to approach a research project. In the second half of the semester, with the course instructor as mentor, students work with grade 6-12 students in a local school to develop a project for their school mathematics fairs. As a final product, students will submit a two-part report consisting of a poster presentation of their own project and a diary of experiences in mentoring the math fair projects.
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92.318 - Mathematics MentoringCredits
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92.321: Discrete Structures ICredits
3.00 Credits
University of Massachusetts-Lowell
3 Presents propositional logic, combinatorics, methods of proof, mathematical systems, algebra of sets, matrix algebra, relations and functions, recursion and generating functions, applications to computer science, and graph theory. Pre-Req: 92.131 Calculus I
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92.321 - Discrete Structures ICredits
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92.322: Discrete Structures IICredits
3.00 Credits
University of Massachusetts-Lowell
3 Examines graph theory, trees, algebraic systems, Boolean algebra, groups, monoids, automata, machines, rings and fields, applications to coding theory, logic design, and sorting. Pre-Req: 92.321 Discrete Structures I
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92.322 - Discrete Structures IICredits
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92.330: Symbolic LogicCredits
3.00 Credits
University of Massachusetts-Lowell
3 This course is an introduction to symbolic logic. Symbolic logic provides a solid foundation in formal reasoning for students preparing for further study in mathematics, linguistics,cognitive science, computer science or philosophy. Topics include propositional logic, first-order logic and systems of deduction. Tarski's notion of model, and the completeness and incompleteness theorems of Godel. Prerequisite: 92.321. Pre-Req: 92.131 Calculus I
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92.330 - Symbolic LogicCredits
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92.360: Mathematic Structure for Computer EngineersCredits
3.00 Credits
University of Massachusetts-Lowell
3 Basic concepts of data. Linear lists, strings, arrays, and orthogonal lists. Trees and graphs. Storage systems and structures. Storage allocation and collection. Multilinked structures. Symbol tables, searching and sorting (ordering) techniques. Pre-Req: 92.231 Calculus III
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92.360 - Mathematic Structure for Computer EngineersCredits
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92.362: Numerical Analysis ICredits
3.00 Credits
University of Massachusetts-Lowell
3 Focuses on the theory and application of numerical techniques including error analysis. Also discusses solution of linear, nonlinear and differential equations, interpolation, numerical integration, and curve fitting. Computer solutions are emphasized. Pre-Reqs: 92.231 Calculus III & 92.234 Differential Equations or 92.236 Eng Differential Equations
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92.362 - Numerical Analysis ICredits
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