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Numerical Methods


An introduction to numerical methods and their application to engineering and science problems. Applied treatment of elementary algorithms, selected from the subject areas: finding roots of a single nonlinear equation, numerical differentiation and integration, numerical solution of ordinary differential equations. Emphasis on implementing numerical algorithms using the computer.


Elementary Numerical Analysis, Atkinson and Han, 3rd edition, Wiley.


MATH 220 and MATH 290 or MATH 320. Not open to students with credit in Math 781 or 782.

Credit Hours: 


  1. Taylor Polynomials
  2. Error and Computer Arithmetic
  3. Rootfinding
  4. Interpolation and Approximation
  5. Numerical Integration and Differentiation
  6. Solution of Systems of Linear Equations
  7. Numerical Linear Algebra:  Advanced Topics
  8. Ordinary Differential Equations
  9. Finite Difference Method for PDEs

The emphasis of this undergraduate course is based on numerical methods and their implementations. A more advanced treatment of the topics is given in the graduate course Math 781.


(Xu 2018 )

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Using Math

Nicole Johnson found a way to express her baton twirling using math.  See video.