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MATH A399: Independent Study
3.00 Credits
University of South Carolina-Aiken
(Prereq: consent of instructor)
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MATH A420: History of Mathematics
3.00 Credits
University of South Carolina-Aiken
(Prereq: Grades of C or better in MATH A142 and MATH A174 or consent of instructor) A survey of the development of mathematics from ancient times to the present with emphasis on the development of algebra, geometry, and calculus, and the contributions of mathematics to advances in science and technology.
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MATH A492: Topics in Mathematics
3.00 Credits
University of South Carolina-Aiken
(Prereq: consent of instructor) Study of selected mathematical topics. To be offered as a lecture course on a "demand basis" only.
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MATH A492 - Topics in Mathematics
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MATH A503: Geom Mid & High Sch Math Tchrs
3.00 Credits
University of South Carolina-Aiken
(Prereq: by examination placement above MATH A112, a grade of C or better in MATH A221 or MATH A222, or by a grade of C or better in MATH A111 and MATH A112, or consent of instructor). Topics include: methods of proofs, concepts and selected theorems of Euclidean geometry with a concentration on proofs/problem-solving using geometric concepts with selected software. Open only to Education majors.
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MATH A518: Industrial Mathematics I
3.00 Credits
University of South Carolina-Aiken
(Prereq: Grades of C or better in MATH A174 and MATH A544 and STAT A509) The construction of mathematical models for applied problems using discrete mathematics and statistics. This course emphasizes the use of advanced mathematical methods for the solution of "real world" problems arising from an industrial setting.
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MATH A519: Industrial Mathematics II
3.00 Credits
University of South Carolina-Aiken
(Prereq: Grades of C or better in MATH A242 and MATH A544) The construction of mathematical models for applied problems in terms of ordinary and partial differential equations. This course emphasizes the use of advanced mathematical methods for the solution of "real world" problems arising from an industrial setting.
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MATH A519 - Industrial Mathematics II
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MATH A531: Foundations of Geometry
3.00 Credits
University of South Carolina-Aiken
(Prereq: MATH A241 or consent of instructor) The study of geometry as a logical system based upon postulates and undefined terms. The fundamental concepts of Euclidean geometry developed rigorously on the basis of a set of postulates. Some topics from non-Euclidean geometry.
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MATH A544: Linear Algebra
3.00 Credits
University of South Carolina-Aiken
(Prereq: Grade of C or better in MATH A241 or consent of the department) Vector spaces, linear transformations and matrices, determinants. Systems of equations, inversion, characteristic equations, eigenvectors, eigenvalues, Cayley-Hamilton theorem, quadratic forms, Jordan and rational forms, functions of matrices.
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MATH A544 - Linear Algebra
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MATH A546: Intro to Algebraic Structures
3.00 Credits
University of South Carolina-Aiken
(Prereq: Grades of C or better in both MATH A241 and MATH A174, or consent of department) Sets, mappings, equivalence relations. Elementary properties of semi-groups, groups, rings, fields.
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MATH A546 - Intro to Algebraic Structures
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MATH A550: Advncd Multivariable Calculus
3.00 Credits
University of South Carolina-Aiken
(Prereq: Grade of C or better in MATH A241 or consent of instructor) Vector calculus of n-variables; implicit and inverse function theorems; extremum problems; Lagrange multipliers; Taylor series; Jacobians; multiple integrals; line integrals; vector fields; surface integrals; theorems of Green, Stokes, and Gauss.
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