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MATH 3312: Linear Algebra
4.00 Credits
Southern Polytechnic State University
An axiomatic treatment of real vector spaces, including computational and theoretical basics. Topics include bases, subspaces, linear transformations, matrix operations, diagonalization, inner product spaces, and eigenvalues.
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MATH 3320: The Real Line
4.00 Credits
Southern Polytechnic State University
The structure of the real number system line from a topological and analytical point of view. Topics include the continuous nature of the real line, open and closed sets, sequences and formal convergence, compactness, topics related to functions of a real variable.
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MATH 3320 - The Real Line
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MATH 3321: Functions of a Real Variable
4.00 Credits
Southern Polytechnic State University
A continuation of MATH 3320. Topics include continuity, uniform continuity, formal definitions of the derivative and integral, covers, and composite functions.
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MATH 3321 - Functions of a Real Variable
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MATH 3336: Numerical Methods II
3.00 Credits
Southern Polytechnic State University
A continuation of MATH 2335. Systems of equations, approximation theory, and differential equations. Understanding the nature and limitations of each method is emphasized.
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MATH 3336 - Numerical Methods II
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MATH 3396: Combinatorics
3.00 Credits
Southern Polytechnic State University
Enumeration and graph theory. Topics in enumeration include combinatorial identities, recurrence relations, and generating functions. Topics in graph theory include Eulerian and Hamiltonian paths and circuits, planarity, and coloring.
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MATH 3496: Number Theory
3.00 Credits
Southern Polytechnic State University
An introductory course. Topics include divisibility, prime number theory, congruences, multiplicative functions, quadratic residues, and applications to cryptology.
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MATH 3496 - Number Theory
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MATH 3596: Topology
3.00 Credits
Southern Polytechnic State University
Topics include set theory, metric spaces, topological spaces, open sets, subspaces, continuity, connectedness, and compactness.
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MATH 3596 - Topology
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MATH 3901-3905: Special Topics
1.00 - 5.00 Credits
Southern Polytechnic State University
Special topics in mathematics. Either a course taught on a onetime basis or a pre-arranged project conducted by specific written arrangement with an individual instructor.
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MATH 3901-3905 - Special Topics
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MATH 4406: Differential Equations II
3.00 Credits
Southern Polytechnic State University
Topics include orthogonal functions, Sturm-Liouville problem, boundary value problems for partial differential equations, the heat equation, wave equation, Laplace equation and power series solutions. Included are Bessel functions, Legendre polynomials, and their applications.
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MATH 4407: Vector Analysis
3.00 Credits
Southern Polytechnic State University
Scalar and vector fields, the del operator, curl, divergence, line integrals, conservative fields and potentials, and surface integrals. The divergence theorem and Stokes' theorem. Applications to electromagnetic fields and to heat and fluid flow.
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