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Course Criteria
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3.00 Credits
(3-0-3) The study of vectors and matrices in Euclidean space, their geometric interpretations and application to systems of equations. Includes linear independence of vectors, basis and dimension, introduction to linear transformations, eigenvalues and eigenvectors, diagonalization, determinants. Prerequisite: MATH 254N.
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3.00 Credits
(3-0-3) A continuation of the topics of MATH 341 to the setting of abstract vector spaces. Includes the study of orthogonality, inner product spaces, eigenvalues and eigenvectors, matrix decompositions and a more advanced study of linear transformations. Prerequisite: MATH 341.
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4.00 Credits
(361-F,W,S)(4-0-4); (362-S)(4-0-4) Graphical representation of statistical data, measures of central tendency and variability, and elementary probability. Applications of binomial, normal, "t," "F," and chi-square distributiontests of hypothesis; regression and correlation analysis. Multiple regression, analysis of variance and design and analysis of experiments. Prerequisite: For MATH 361-MATH 111 or instructor's consent. Prerequisite: For MATH 362-MATH 361 or MATH 465 with grade "C" or better.
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4.00 Credits
(4-0-4) Linear functions, matrices, linear programming, mathematics of finance, derivatives and their applications. The integral and its applications, and calculus of several variables. Prerequisite: For MATH 371-MATH 111 with grade "C" or better.Prerequisite: For MATH 372-MATH 371 with grade "C" or better.
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4.00 Credits
(4-0-4) Linear functions, matrices, linear programming, mathematics of finance, derivatives and their applications. The integral and its applications, and calculus of several variables. Prerequisite: For MATH 371-MATH 111 with grade "C" or better.Prerequisite: For MATH 372-MATH 371 with grade "C" or better.
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3.00 Credits
(Hours to be arranged each term.)
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4.00 Credits
(4-0-4) The first course in a three term sequence in applied partial differential equations. Modelling physical systems using differential equations, classifying differential equations and introduction to the methods of solving partial differential equations (separation of variables, Fourier series, transform methods). Prerequisite: MATH 322.
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4.00 Credits
(4-0-4) The second course in a three term sequence in applied partial differential equations. Introduction to solution techniques using eigenvalues and eigenfunctions. Presentation of eigenfunctions which form orthogonal bases such as Bessel functions and Legendre polynomials. Prerequisite: MATH 421.
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4.00 Credits
(4-0-4) The third course in a three term sequence. Applications of linear and weakly nonlinear partial differential equations. Analytical solution techniques for parabolic, elliptic, and hyperbolic equations. Green's functions, integral methods, shocks, and the method of characteristics. Prerequisite: MATH 422.
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3.00 Credits
(3-0-3) Operations on vectors including dot product, cross product, curl and differentiation; tangent and normal vectors; divergence with applications. Prerequisite: MATH 254N.
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