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Course Criteria
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4.00 Credits
Topics include: vectors in two and three dimensions, dot and cross product, lines and planes in space, cylindrical and spherical coordinates, vector functions, tangents and normals, velocity and acceleration, arclength and curvature, functions of several variables, partial derivatives, chain rules, directional derivatives and gradients, tangent planes and extrema, multiple integrals in rectangular, polar, cylindrical, and spherical coordinates.
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3.00 Credits
Topics include expectation, independent and conditional probability, combinations and permutations, organization and analysis of data, standard probability distributions, and hypothesis testing. The emphasis is on the applications and methods with applicability in technical and managerial fields.
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3.00 Credits
Methods of solving ordinary differential equations of first and higher order. Systems of linear differential equations and solutions using the Laplace transform. Fourier series. Mechanical and electrical engineering applications are included.
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3.00 Credits
Methods of numerical computation. Error analysis, solutions of equations, interpolation, quadrature, and linear systems. The course emphasizes the effective application of numerical approximation techniques in the solution of problems frequently encountered in engineering and science.
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3.00 Credits
An introduction to the fundamentals of discrete mathematics. Topics include sets, formal logic, methods of proof, counting, relations, functions, graphs and trees, and finite state automata.
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1.00 - 5.00 Credits
Special topics in mathematics. Either a course taught on a onetime basis or a pre-arranged project conducted by specific written arrangement with an individual instructor.
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3.00 Credits
Topics include: Matrices and matrix algebra, determinants, linear systems of equations, change of coordinates, eigenvalues, linear and quadratic approximations, extrema for functions of several variables, Lagrange multipliers, vector fields, line integrals, conservative fields and path independence, Green's Theorem, parametric surfaces, surface integrals, Divergence Theorem, Stoke's Theorem.
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3.00 Credits
The use of a software package, such as MINITAB, is integrated with descriptive statistics, simulation, confidence intervals and hypothesis testing. Hypothesis testing/confidence interval topics include large and small tests for the population mean, large sample tests for the population proportion, correlation and regression on one and several variables and chi-square testing. As time permits, additional topics may be covered.
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3.00 Credits
Axioms of probability, counting techniques, discrete and continuous univariate and multivariate random variables, expectation, Markov Inequality, moment generating functions, and applications of probability to statistical decisions.
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3.00 Credits
This course is designed to provide a transition to higher level mathematics through a hands -on introduction to creative problem solving, formal mathematical concepts, and proofs. Topics include logic, proofs, induction, formal systems, and set theory.
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