Course Search Results

• MATH 5210: Introduction to Analysis I

  3.00 Credits

  Utah State University

  
  One and several variable calculus from an advanced point of view. Proofs of all main theorems in calculus.
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• MATH 5220: Introduction to Analysis II

  3.00 Credits

  Utah State University

  
  Continuation of MATH 5210. Rigorous development of multivariable advanced calculus.
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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.
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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.
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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.
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• MATH 5400: Mathematics and Its History

  3.00 Credits

  Utah State University

  
  This course investigates problems, ideals, and philosophies that have shaped mathematics. Historical context helps in understanding the development of mathematical concepts, methods, and ontologies. Additional coursework is required for those enrolled in the graduate-level course.
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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.
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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.
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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.
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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.
  ShareMATH 5470 - Advanced Differential Equations