• MATH 6610: Advanced Computational Linear Algebra and Solutions of Nonlinear Systems of Equations

  2.00 Credits

  Utah State University

  
  Students learn to solve linear systems of equations and analyze error, matrix norms, residual vectors, and the condition number of a matrix, Jacobi, Gauss-Seidel, SOR, Conjugate gradients, Krylov-subspace based methods, matrix orthogonalization, and least squares solution of over/undetermined systems. Prerequisite/Restriction: MATH 5610 or equivalent experience
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• MATH 6620: Finite Difference Approximations for Solutions to PDE

  2.00 Credits

  Utah State University

  
  This course focuses on the construction and analysis of finite difference methods for PDE. Topics include evolution equations methods, elliptic BVP methods, local and global errors, stability, consistency and the Lax equivalence theorem, and matrix and von Neumann stability analysis. Prerequisite/Restriction: MATH 5620 or equivalent MATH 5420 or equivalent
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• MATH 6640: Optimization

  3.00 Credits

  Utah State University

  
  Unconstrained problems, smooth function methods, linearly constrained problems, linear and quadratic programming, nonlinearly constrained methods, and practicalities. Prerequisite/Restriction: C- or better in MATH 5220 or consent of instructor.
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• MATH 6645: Mathematical Methods for Data Science

  3.00 Credits

  Utah State University

  
  This course provides an in-depth overview of important mathematical principles and methods that underlie state-of-the art data science, statistical, and machine learning methods with a focus on linear algebra and multivariate calculus and their data science applications. Additional coursework is required for those enrolled in the graduate-level course. Prerequisites/Restrictions: Graduate standing or: MATH 1210 STAT 3000 or MATH 5710 MATH 1220 and MATH 2270 are recommended Experience programming in Python, R, or Matlab is essential for success in the course Cross/Dual listed as: MATH 5645, STAT 5645, STAT 6645
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• MATH 6750: Probability Theory

  3.00 Credits

  Utah State University

  
  Probability spaces, random variables, distribution functions, expectations, independence, modes of convergence, limit theorems, and applications. Prerequisite/Restriction: C- or better in MATH 5210; MATH 6750 must be completed prior to MATH 6760.
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• MATH 6760: Probability Theory

  3.00 Credits

  Utah State University

  
  Probability spaces, random variables, distribution functions, expectations, independence, modes of convergence, limit theorems, and applications. Prerequisite/Restriction: C- or better in MATH 5210; MATH 6750 must be completed prior to 6760.
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• MATH 6810: Topics in Mathematics (Topic)

  3.00 Credits

  Utah State University

  
  This course explores a particular topic in greater depth and with narrower focus than a conventional course. Prerequisite/Restriction: Instructor permission. Repeatable for credit.
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• MATH 6820: Topics in Mathematics (Topic)

  3.00 Credits

  Utah State University

  
  This course explores a particular topic in greater depth and with narrower focus than a conventional course. Prerequisite/Restriction: Instructor permission. Repeatable for credit.
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• MATH 6910: Directed Reading and Conference

  1.00 - 3.00 Credits

  Utah State University

  
  This course consists of directed readings on specific topics. Prerequisite/Restriction: Instructor permission. Repeatable for credit.
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• MATH 6970: Thesis

  1.00 - 9.00 Credits

  Utah State University

  
  This course allows students to pursue research toward the M.S. degree. Repeatable for credit. Pass/Fail only.
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