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Course Criteria
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3.00 Credits
A course designed to develop the mathematical skills considered important for business students. The primary emphasis is on the calculus for functions of one variable and its applications. Note It is recommended that students planning to pursue graduate studies or those on an NROTC scholarship should take Ms-150. Prerequisite: Ms-101 or equivalent. Rec. 4, Cr. 4.
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3.00 Credits
Applications of the integral, advanced methods of integration, analytic geometry, the calculus of transcendental functions, improper integration, conics and polar coordinates, and the introduction of infinite series and the calculus of several variables. Prerequisite: Ms-150 or permission of the Mathematics Coordinator. Rec. 4, Cr. 4.
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3.00 Credits
A continuation of Mathematics I, including the study of fractions and fractional equations; systems of linear equations; exponents and radicals; quadratic equations; oblique triangles; and radian measure. Prerequisite: MS105. Rec. 3, Cr. 3.
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3.00 Credits
An introductory, calculus-based course in probability and statistics with an emphasis on engineering and scientific applications. Topics include: descriptive statistics; probability (basic probability and discrete and continuous random variables and their distributions); point and interval estimation; hypothesis testing of sample means, proportions, and variances; regression models; use of statistical software. Applications will include reliability and experimental design. Prerequisites: a Computer Science course or evidence of computer literacy, and Ms-150. Rec. 3, Cr. 3.
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3.00 Credits
An introduction to applied mathematics useful in applied science and design engineering. Topics include infinite series formation, both functional and numerical, in pursuit of non-analytical solution, numerical techniques with emphasis on error analysis, vector calculus and linear algebra. Applications include, but are not limited to, chemical reaction, electrical circuits, curvilinear regression for experimental data, oscillatory systems, fluid force, coupled systems and mathematical modeling of dynamic systems. Use of computer generated solution is encouraged. Prerequisite: Ms-120 or Ms-160. Rec. 4, Cr. 4.
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3.00 Credits
An introductory, algebra-based course in statistics with an emphasis on business and managerial applications. Topics include descriptive statistics; basic probability and random variables; point and interval estimation; hypothesis testing of sample means and proportions; linear regression and correlation; and use of statistical software. Applications will include decision making, quality management, statistical process control, and time-series forecasting models. Prerequisite: a Computer Science course or evidence of computer literacy. Rec. 3, Cr. 3.
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3.00 Credits
A first course in ordinary differential equations with emphasis on analytic solution. Topics include existence and uniqueness of solution, first order equations, linear and selected nonlinear higher order equations, and solution by Laplace transforms, numerical solution and introduction to solution by series. Applications selected from mechanics, biology, thermodynamics, resonance, electrical networks, automatic control and servomechanisms, epidemiology and ecology. Mathematical formulation and design are stressed in all applications. Prerequisite: Ms-120 or Ms-160. Rec. 3, Cr. 3.
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3.00 Credits
A course allowing a student to pursue topics or sequences of topics not otherwise offered. Proposals are to be student initiated, in consultation with an instructor. Prerequisite: Department and instructor approval. Rec. 1-3, Cr. 1-3.
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3.00 Credits
Formulation and study of mathematical models applicable to geophysical fluid dynamics. Development of differential and integral equations of mass, momentum and energy conservation for viscous fluids in a rotating frame. Topics include perturbation theory, canonical transformations, tensor analysis, linearization, LaGrange's equations and state vectors and operators. Knowledge of vector calculus is preferred. Prerequisite: Ms-260. Rec. 3, Cr. 3.
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3.00 Credits
A second course in applied mathematics for applied science and design engineering students. Topics include review of eigenvectors, eigenvalues and orthogonality, Taylor series method, Picard's method of iteration, method of Frobenius, Bessel's equation, Legendre's equation, Strum-Liouville problems, Fourier series and analysis, Gram-Schmidt orthonormalization and self-adjoin differential equations. Partial differential equations such as the heat equation, wave equation and potential equation are formulated using basic physical principles and brought to solution. The Laplacian in rectangular, cylindrical and spherical coordinates is investigated. Application to design analysis and dynamical systems is stressed. Prerequisites: Ms-252 and Ms-260. Rec. 3, Cr. 3.
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