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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 A518 - Industrial Mathematics I
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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 A531 - Foundations of 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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MATH A550 - Advncd Multivariable Calculus
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MATH A552: Complex Variables
3.00 Credits
University of South Carolina-Aiken
(Prereq: Grade of C or better in MATH A241). Complex integration, calculus of residues, conformal mapping, Taylor and Laurent series expansions, applications.
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MATH A552 - Complex Variables
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MATH A554: Introduction to Analysis
3.00 Credits
University of South Carolina-Aiken
(Prereq: MATH A241) Theory of functions of one variable; limits; continuity; differentiation, integration; Taylor series; power series; sequences and series of functions.
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MATH A554 - Introduction to Analysis
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MATH A590: Math/CS Capstone Seminar
3.00 Credits
University of South Carolina-Aiken
(Prereq: Senior standing in Math/CS or Math Ed major, or consent of Department). Intended primarily for Math/CS Majors and Math Ed Majors. Each student is required to do an in-depth study of some topic to be presented orally and in writing in class, and to participate in the discussion and debate of topics presented by other students. Topics will be tied together under a common theme chosen by the faculty.
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MATH A590 - Math/CS Capstone Seminar
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