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Course Criteria
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4.00 Credits
A continuation of SMAT 211. Topics covered include partial derivatives, graphing techniques, integration techniques, trigonometric functions, double integrals, differential equations, functions of several variables, series, and Taylor polynomials. Emphasis on applications and problem solving in economics, biology, and other life and social sciences. Prerequisite: SMAT 116 (or 120) and SMAT 211, or college placement exam.
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4.00 Credits
This course is a study of systems of linear equations, vectors and matrices, determinants, vector spaces, linear transformations, eigenvalues, eigenvectors, diagonalization, orthogonality and the Gram-Schmidt algorithm, and selected applications. Emphasis on introduction to proof techniques as well as computer implementation. Prerequisite: SMAT 231 (or equivalent).
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4.00 Credits
An introduction to single variable calculus, including limits and continuity, derivatives of algebraic and trigonometric functions, optimization, related rates of change, integration, and applications. Prerequisite: SMAT 115 and 116 (or SMAT 120), or college placement exam.
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4.00 Credits
A continuation of SMAT 231. Topics covered include derivatives of exponential, logarithmic, and trigonometric functions, methods of integration, polar coordinates, improper integrals, de L'Hoptial's rule, sequences, series, power series and Taylor polynomials. Prerequisite: SMAT 231 (or 295), or college placement exam.
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4.00 Credits
A transition to higher mathematics emphasizing logic, set theory, propositional calculus and proofs, partitions, relations and functions, and cardinality. Prerequisite: SMAT 231 (or equivalent).
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3.00 - 4.00 Credits
Varying topics chosen from: finite geometries, axiomatic systems, foundations of geometry, congruences and isometries, metric problems, and non-Euclidean geometries (e.g., spherical and hyperbolic). Prerequisite: SMAT 233. Offered spring of odd years. Honors elective.
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4.00 Credits
An introduction to multivariable calculus, covering parametric equations, vectors, functions of several variables, partial derivatives, multiple integrals, vector calculus. Prerequisite: SMAT 232 (or 295), or college placement exam.
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4.00 Credits
A first course in ordinary differential equations that includes separable and exact equations, integrating factors, linear first-order equations and applications, equations with homogeneous coefficients, constant coefficient linear equations, methods of undetermined coefficients and variation of parameters, systems of equations, Laplace transforms, numerical solutions, and applications of higher order equations and systems. Prerequisite: SMAT 212, 232, or 295.
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4.00 Credits
A study of partial differential equations and boundary value problems with applications in physics and engineering. Special emphasis on the use of Fourier series, Bessel functions, Legendre polynomials, and Laplace transforms in solving partial differential equations. Prerequisite: SMAT 232 and 365. Offered spring of odd years.
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4.00 Credits
A study of algebraic structures, focusing on groups, rings, and fields, including normal subgroups, ideals, quotient groups, quotient rings, integral domains, and homomorphisms. Prerequisite: SMAT 232, 214 and 233. Offered each semester.
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