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Course Criteria
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3.00 Credits
This subject provides a brief study of the algebra and calculus of complex variables including the following topics: analytic functions, the elementary functions, infinite series in the complex plane, differentiation and integration andmapping of the elementary functions, and the theory of residues. (prereq:MA-232,MA-235)
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3.00 Credits
This course introduces the theoretical concepts and uses of the Laplace transform. It includes transforms of special functions, properties, operations, ordinary and partial differential equations with special emphasis on periodic phenomena, the unit step function, and the Dirac delta function. (prereq:MA-232,MA-235)
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3.00 Credits
This course illustrates the nature ofmathematics as a blend of technique, theory, and applications. The important problemof solving systems of linear equations leads to the algebra ofmatrices, determinants, vector spaces, bases and dimension, linear transformations, and eigenvalues. Numericalmethods of solution are introduced.MATLAB integrates the communication ofmathematics withmathematical (and computer) techniques, visualizations, and applications. (prereq:MA-231)
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3.00 Credits
Analysis of variance (including two-way ANOVA and block design), linear and nonlinear regression (including lack-of-fit estimation), correlation, nonparametric statistics, hypothesis testing of categorical data (contingency tables, Fisher's Exact Test,McNemar's Test, goodnessof-fit test), and power and sample size estimations are covered. (prereq:MA-262)
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3.00 Credits
Groups, rings, fields, and Boolean algebras are covered, as well as homomorphisms of groups and rings. Emphasis is on applications to engineering and computer science. (prereq:MA-232)
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3.00 Credits
This course addresses calculus of functions of a single variable. Amore careful development is made of the basic concepts of analysis, including sequences, limits, continuity, differentiability, integration, infinite series, Taylor's Theorem, and uniformconvergence. (prereq:MA-232)
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3.00 Credits
Topics covered include separation of variables, classification of second order equations and canonical form, Fourier series and integrals, the wave equation, the heat equation, Laplace's equation, applications such as vibrating string, vibratingmembrane and vibration of beams, etc. (prereq:MA-235)
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3.00 Credits
Number Theory is primarily concerned with the properties of the integers.While the subject has long been thought of as "pure"mathematics, recent developments in fields such ascryptography have renewed interest in it. Topicsmay include divisibility and congruences, Diophantine equations (i.e., equations with whole number solutions), Farey and continued fractions, and the distribution of primes. The course serves as an excellent introduction to the process ofmathematical conjecture and proof. (prereq:MA-231)
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1.00 Credits
This course is intended to provide the student with an overview of themechanical engineering profession. Lecture topics include an overview of the engineering profession, career paths withinmechanical engineering, and the relationship of themechanical engineering curriculum to the personal and professional growth of the student.
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2.00 Credits
This course is intended to provide the student with an overview of themechanical engineering profession, the process ofmechanical engineering design, and the tools associated with the mechanical design process. Lecture topics will include an overview of the engineering profession, career paths withinmechanical engineering, and the relationship of the educational curriculumto the personal and professional growth of the student. Laboratory exercises will focus on themechanical engineering design process, and the application of solidmodeling tools and techniques inmechanical design.
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