• MATH 5220: Numerical Analysis II

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: MATH 4210 (5210): C or better in MATH 1920 (or consent of instructor for MATH 5210); MATH 4220 (5220): C or better in MATH 2120 or consent of instructor. Iterative methods for nonlinear equations, computational error analysis, convergence of iterative techniques, interpolation, numerical differentiation and integration, approximate solutions of initial-value problems, boundary-value problems, and nonlinear systems, direct and iterative methods for linear systems. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5250: Adv Ord Diff Equations I

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: MATH 4250 (5250): C or better in MATH 2110 and MATH 2120 (or consent of instructor for MATH 5250); MATH 4260 (5260): C or better in MATH 4250 (5250). Systems of ordinary differential equations, matrix methods, approximate solutions, stability theory, basic theory of nonlinear equations and differential systems, trajectories, phase space stability, construction of Liapunov functions. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5260: Adv Ord Diff Equations II

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: MATH 4250 (5250): C or better in MATH 2110 and MATH 2120 (or consent of instructor for MATH 5250); MATH 4260 (5260): C or better in MATH 4250 (5250). Systems of ordinary differential equations, matrix methods, approximate solutions, stability theory, basic theory of nonlinear equations and differential systems, trajectories, phase space stability, construction of Liapunov functions. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5310: Intro to Topology I

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: MATH 4310 (5310): C or better in MATH 3400 (or consent of instructor for MATH 5310); MATH 4320 (5320): C or better in MATH 4310 (5310). Topological spaces, continuity, connectedness, compactness, separation axioms, function spaces, and fundamental groups. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5320: Intro to Topology II

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: MATH 4310 (5310): C or better in MATH 3400 (or consent of instructor for MATH 5310); MATH 4320 (5320): C or better in MATH 4310 (5310). Topological spaces, continuity, connectedness, compactness, separation axioms, function spaces, and fundamental groups. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5350: Introductory Combinatorics

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 3400 or consent of instructor. Topics to be covered include permutations, combinations, multisets, partitions, recurrence relations, generating functions, and the principle of inclusion-exclusion. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5360: Graph Theory

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 3400 or consent of instructor. Fundamental concepts of undirected and directed graphs, trees, connectivity, traversability, planarity, colorability, network flows, and matching theory. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5410: Differential Geometry

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 2010, 2110, and 3400 (or consent of instructor for MATH 5410). Geometry of curves and surfaces in three-dimensional space. Calculus on surfaces, curvature and Riemannian geometry. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5470: Probability & Statistics I

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 2110 or consent of instructor. Mathematical foundations of elementary statistical methods, application and theory, probability in discrete and continuous distribution, correlation and regression, sampling distributions, significance tests. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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• MATH 5480: Probability & Statistics II

  3.00 Credits

  Tennessee Technological University

  
  Prerequisite: C or better in MATH 2110 or consent of instructor. Mathematical foundations of elementary statistical methods, application and theory, probability in discrete and continuous distribution, correlation and regression, sampling distributions, significance tests. Students enrolled in the 5000-level course will be required to complete additional work as stated in the syllabus.
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