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Course Criteria
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3.00 Credits
Students examine linear spaces and subspaces; linear independence and dependence; bases and dimension; linear operators; matrix theory; determinants and systems of linear equations; eigenvalues and eigenvectors.Students may receive credit for only one of MA 211 and MA 235.(Prerequisite: MA 231 or permission of the department chair) Three credits.
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3.00 Credits
This course covers the tools and techniques of statistics most commonly seen in business applications and meets the third semester of the Dolan School of Business' quantitative requirement.Topics include (multi)linear regression and correlation; inference, including t-tests and chi-square tests; and analysis of variation.Students who have taken MA 121-122, MA 125-126 or MA 171-172 should take MA 217 instead of MA 17 and MA 27.Students who have received credit for MA 217 may not take MA 27 for credit.(Prerequisite: MA 17) Three credits.
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3.00 Credits
Topics in this course include vectors in the plane and in three-space; arc length, curvature, equations of lines and planes; vector functions; parametric equations; functions of several variables, differentiability, gradient, directional derivatives; tangent planes, normal lines; total differential, extrema; and Lagrange multipliers.(Prerequisite: MA 126 or MA 172 or equivalent) Three credits.
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3.00 Credits
This course covers multiple integration: volume and surface integrals in cartesian, cylindrical, and spherical coordinates; line integrals; Green's theorem; diver-gence and curl, Jacobians; change of variables; Stokes's theorem; and divergence theorem.(Prerequisite: MA 227 or MA 271 or equivalent) Three credits.
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3.00 Credits
This course presents the solution of first order differential equations and of higher order linear differential equations; power series solutions; Laplace transforms; and a multitude of applications.Mathematics majors may not take this course as a mathematics elective.Students may receive credit for only one of MA 321 and MA 331.(Prerequisite: MA 225 or MA 227 or MA 271 or equivalent) Three credits.
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3.00 Credits
This course covers the theory and solution of ordinary differential equations: first-order equations, linear equations of arbitrary order, and linear systems; power series solutions; Laplace transforms; and existence and uniqueness of solutions.Students may receive credit for only one of MA 321 and MA 331.(Prerequisites: MA 235 and MA 272, or permission of the department chair) Three credits.
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3.00 Credits
Topics in this course include solution of constant and variable coefficient linear equations; separation of variables in two and three variables; eigenvalue problems; Fourier series solution of the heat equation, the wave equation, and the Laplace equation; Fourier transforms; Gamma and Bessel functions; Legendre, Hermite, and Laguerre polynomials.(Prerequisites: MA 228 or MA 272 or equivalent, and MA 321 or MA 331 or equivalent) Three credits.
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3.00 Credits
Students study group theory, rings and ideals, integral domains, and fields.(Prerequisites: MA 231 and MA 235 or permission of the department chair) Three credits.
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3.00 Credits
This study of the integers includes but is not limited to: primes and their distribution, divisibility and congruences, quadratic reciprocity, special numerical functions such as Euler's one-function, and Diophantine equations.Students consider the influence number theory has had on the development of algebra and the interplay between the two.(Prerequisite: MA 231 or permission of the department chair) Three credits.
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3.00 Credits
Topics in this course include convex sets, extreme points, theoretical basis of the simplex method for linear programming, the simplex computational procedure, duality theory, and sensitivity analysis.The course also covers the transportation problem and network applications as time permits.(Prerequisites: MA 235 and MA 272, or permission of the department chair) Three credits.
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