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Course Criteria
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4.00 Credits
4 hours; 4 credits This course addresses fundamental topics in Euclidean and coordinate geometry in two and three dimensions, introduces concepts from non- Euclidean geometry, and explores applications to areas such as image processing or map making. Topics include classical axiomatic geometry, symmetry and similarity, transformations and matrix representation, characterization of polygons and polyhedra, and representation of curves and surfaces. Prerequisite: MTH 233 or MTH 236
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6.00 Credits
6 hours; 4 credits Advanced mathematics for engineering and science students. Linear algebra, ordinary differential equations, eigen value problems, transforms, and special functions. Credit will not be given for both MTH 330 and MTH 334. Prerequisite: MTH 233 or MTH 236
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4.00 Credits
4 hours; 4 credits Vector analysis, partial differentiation, partial differential equations, Sturm- Liouville theory, and Fourier analysis. Prerequisite: MTH 330
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4.00 Credits
4 hours; 4 credits Formulation and solution of ordinary differential equations. Reduction of order, operational techniques, a place system of equations, Frobenius methods, boundary value problems, transform solutions, special functions, and existence and uniqueness theorems. Applications from science and engineering. Credit will not be given for both MTH 330 and MTH 334. Prerequisite: MTH 233 or MTH 236
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4.00 Credits
4 hours; 4 credits Solution of equations, interpolation, and approximation; convergence; numerical differentiation and numerical solution of initial value problems in ordinary differential equations; selected algorithms programmed for solution on computers. The solution of linear systems by direct and iterative methods. Matrix inversion, the calculation of eigenvectors and eigenvalues of matrices. Numerical integration; approximation of polynomials. Prerequisites: CSC 126 or CSC 270; and MTH 338 or corequisite: MTH 330
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4.00 Credits
4 hours; 4 credits Arrangements selection and counting methods, generating functions, recurrence relations, the principle of inclusion and exclusion, and the pigeonhole principle. Introduction to graph theory, trees and searching, Eulerian and Hamiltonian Circuits, planar graphs and coloring of graphs, applications to optimization problems such as network flows. Prerequisite: MTH 232
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4.00 Credits
4 hours; 4 credits Determinants, matrices, and systems of linear equations; linear dependence; vector spaces; eigenvalues and eigenvectors; matrix equations; linear transformations; convex sets; applications to problems in physics, engineering, economics, and social sciences. Prerequisite: MTH 232 Pre- or corequisite: MTH 233
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4.00 Credits
4 hours; 4 credits Group Theory: groups of symmetries, modular number systems, equivalence relations, properties of groups, subgroups, permutation groups, Lagrange’s Theorem, Burnside’s Theorem, homomorphism, isomorphismtheorems. Group Codes: construction of group codes and error-correcting codes. Prerequisites: MTH 233 or MTH 236 Pre- or corequisite: MTH 338 or permission of the instructor
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4.00 Credits
4 hours; 4 credits The real number system, continuous functions, functions of several variables, partial differentiation, implicit functions, integration theory, infinite series, and power series. Prerequisite: MTH 233 or MTH 236
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4.00 Credits
4 hours; 4 credits Vectors, multiple integrals, line and surface integrals, transformation of coordinates, improper integrals, and special functions. Prerequisite: MTH 341
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