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Numerical Methods

581

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.

Text: 

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

Prerequisite: 

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

Credit Hours: 
3

TOPICS:

  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 )

Frequency: 
Every Fall Semester

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