• MATH 5220: Introduction to Analysis II

  3.00 Credits

  Utah State University

  
  Continuation of MATH 5210. Rigorous development of multivariable advanced calculus. Prerequisite/Restriction: C- or better in MATH 5210.
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• MATH 5270: Complex Variables

  3.00 Credits

  Utah State University

  
  Basic theory and applications of complex variables for mathematics, physics, and engineering students. Topics include analytic functions, contour integration, and residue theorem conformal mappings. Prerequisite/Restriction: C- or better in MATH 2210 and MATH 2250; or C- or better in MATH 2210, MATH 2270, and MATH 2280.
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• MATH 5310: Introduction to Modern Algebra

  3.00 Credits

  Utah State University

  
  Continuation of MATH 4310. Topics include: Sylow theory for finite groups, factorization theory for commutative rings, and Galois theory. Prerequisite/Restriction: C- or better in MATH 4310.
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• MATH 5340: Theory of Linear Algebra

  3.00 Credits

  Utah State University

  
  Vector space theory, linear transformations and matrices, eigenvalues and eigenvectors, inner product spaces, orthogonality, canonical forms, and Hermitian matrices. Prerequisite/Restriction: C- or better in MATH 2270; or C- or better in MATH 4310; or instructor permission.
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• MATH 5410: Methods of Applied Mathematics

  3.00 Credits

  Utah State University

  
  This course introduces traditional approaches in applied mathematics, including dimensional analysis, the Buckingham Pi Theorem, perturbation methods and successive approximation to solutions of differential equations, singular perturbations and boundary layer problems, variational methods and the Euler-Lagrange equation, and Hamiltonian systems. Prerequisite/Restriction: 2210 with a C- or better 2250 or 2270/80 with a C- or better
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• MATH 5420: Partial Differential Equations

  3.00 Credits

  Utah State University

  
  This course emphasizes the understanding and solution of physically relevant partial differential equations. Topics include derivation and analysis of the transport; diffusion, wave, and Laplace equations; the method of characteristics; eigenfunctions/Fourier series; transform methods; and fundamental solutions. Prerequisite/Restriction: MATH 2250 or MATH 2280 with a C- or better
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• MATH 5460: Nonlinear Dynamics

  3.00 Credits

  Utah State University

  
  This course introduces elementary concepts in dynamical systems, including canonical, continuous, and discrete models, equilibria, stability, and bifurcation of solutions of differential equations. Prerequisite/Restriction: MATH 2250 or MATH 2280 with a C- or better
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• MATH 5470: Advanced Differential Equations

  3.00 Credits

  Utah State University

  
  This course covers important topics on ordinary differential equations. Topics include the solution of linear systems of equations, series solutions and the method of Froebenius, and boundary value problems. Prerequisites: MATH 2250 or MATH 2270 with a C- or better MATH 2280 with a C- or better
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• MATH 5510: Introduction to Topology

  3.00 Credits

  Utah State University

  
  Elementary point-set topology, topological spaces, separation axioms, metric spaces, compactness, connectedness, order topology, countability axioms, continuity, and homeomorphisms. Prerequisite/Restriction: C- or better in MATH 4200.
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• MATH 5560: Actuarial Financial Mathematics

  3.00 Credits

  Utah State University

  
  Introduces fundamental concepts of financial mathematics, focusing on applications to non-life insurance. Topics include interest theory, cash flows and yield rates, annuities, portfolio insurance, and derivatives. Also includes discussion of probability models for underlying assets. Prerequisite/Restriction: MATH 1220 and STAT 3000. Semester(s) Traditionally Offered: Spring
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