Fall 2018

Math 2405H, Mathematics in a Computational Context
  • Department of Mathematics, Virginia Tech
  • Monday and Wednesday, 8:00AM-8:50AM, Tuesday and Thursday, 8:00AM-9:15AM
  • Unified course covering techniques of linear algebra, differential equations, and integral calculus for functions of several variables. 2405H-2406H constitutes the standard second year mathematics courses for science and engineering.
  • Specific topics include:
    • Vector and matrix algebra, systems of linear equations, linear independence, bases, orthonormal bases, rank, linear transformations and diagonalization, ordinary differential equations, first-order, second- and higher order homogeneous linear equations and implementation with contemporary software.
CMDA 3606, Mathematical Modeling: Methods and Tools II
  • Computational Modeling and Data Analytics (CMDA), Virginia Tech
  • Tuesday and Thursday, 11:00AM-12:15PM
  • This course introduces advanced numerical methods for solving large-scale inverse problems, optimization problems, linear systems, and eigenvalue problems. Emphasis will be given to computational concerns when dealing with large-scale problems.
  • Specific topics include:
    • mathematical modeling and the forward problem
    • numerical linear algebra, least squares, singular value decomposition, iterative solutions to linear systems of equations, numerical solutions to eigenvalue problems
    • discrete inverse problems, ill-posed problems and regularization, direct and iterative regularization methods, methods for selecting regularization parameters
    • large-scale optimization for computing solutions to inverse problems
    • numerical optimization – unconstrained and constrained
    • nonlinear equations

Previous courses at Virginia Tech

  • Spring 2018 - Math/CS 5486, Numerical Analysis and Software
    • Presentation and analysis of numerical methods for solving common mathematical and physical problems. This course is for graduate students in any computational field and will cover numerical algorithms for unconstrained and constrained optimization problems, least squares problems (linear and nonlinear), nonlinear algebraic systems, inverse problems, and other advanced topics. Emphasis will be on efficiency, accuracy, and reliability of methods and software.
  • Fall 2017 - Math 2405H, Mathematics in a Computational Context
  • Spring 2017 - CMDA 3606, Mathematical Modeling: Methods and Tools II
  • Fall 2016 - Math 2405H, Mathematics in a Computational Context
  • Spring 2016 - CMDA 3606, Mathematical Modeling: Methods and Tools II
  • Fall 2015 - Math 2405H, Mathematics in a Computational Context
  • Spring 2015 - CMDA 3606, Mathematical Modeling: Methods and Tools II
  • Fall 2013 - Math 4445, Introduction to Numerical Analysis
    • This course covers round-off errors, direct and iterative solutions of linear systems of equations, numerical solutions to least squares problems and eigenvalue problems, solutions of general non-linear equations and systems of equations. The main programming language for the course is Matlab.
  • Fall 2013 - Math 2224, Multivariable Calculus
    • Main topics include partial derivative, multiple integrals, and infinite series.
  • Spring 2013 - Math 3054, Programming and Mathematical Problem Solving
    • This course serves as an introductory programming course for Mathematics majors. We will study basic programming techniques for solving problems typically encountered by mathematicians. We start with procedural programming and towards the end of the course move to object-oriented programming techniques. The main programming language for the course is Matlab.

Previous courses at the University of Texas at Arlington

  • Spring 2012 - Math 3330-003, Introduction to Matrices and Linear Algebra
    • Solving systems of linear equations, matrix operations, determinants, vector spaces, linear transformation, othogonality, Gram-Schmidt process, projections, and eigenvalues and eigenvectors.
  • Fall 2011 - Math 1426-005, Calculus I with labs
    • Concepts of limit, continuity, differentiation and integration; applications of these concepts.

Previous courses at Emory University

  • Spring 2007 - Math 112, Calculus II
  • Fall 2006 - Math 112, Calculus II
    • Content: Exponential and logarithmic functions; trigonometric and inverse trigonometric functions; techniques of integration; numerical methods of integration; improper integrals; infinite sequences and series; polar coordinates.



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