• Seven Faculty Members Promoted this Year

    Congratulations to all the faculty who have been promoted this year. We have had 7 people promoted to Senior Lecturer, Associate, and Full Professor. Their years in academic and work experiences bring expertise and relevance to instruction for our department. Please join us in  congratulating these faculty members on their promotion. Full Read More
  • MCM/ICM 2021 -- Modeling Competition Results

    We are pleased to announce the results of the 2021 Mathematical Contest in Modeling (MCM) and the Interdisciplinary Contest in Modeling (ICM) – the MCM/ICM International Competition. Our university was represented by two teams. Both teams did a great job this year and they were awarded a Meritorious award and a Read More
  • 2021 Undergraduate Researchers of the Year

    Congratulations to Tyler Hoffman (Math) and Jesse Mathews (Chemical Engineering & Math) for being selected as Maryland’s “Undergraduate Researchers of the Year” for 2021. Read More
  • Alum Victor De Oliveira elected Fellow of American Statistical Association

    Alumnus Victor De Oliveira (Math Ph.D. 1997) has been elected a Fellow of the American Statistical Association. Fellows are chosen on the basis of their established reputations and outstanding contributions to statistical science. De Oliveira is a professor in the Department of Management Science and Statistics at the University of Read More
  • Eitan Tadmor SIAM Class of 2021 Fellow

    Eitan is being recognized for original, broad, and fundamental contributions to applied and computational mathematics, including conservation laws, kinetics, image processing, and social dynamics. For the full announcement see https://www.hpcwire.com/off-the-wire/society-for-industrial-and-applied-mathematics-announces-class-of-2021-fellows/ Read More
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Basic computational methods for interpolation, least squares, approximation, numerical quadrature, numerical solution of nonlinear equations, systems of linear equations, and initial value problems for ordinary differential equations. Emphasis on the methods and their computational properties rather on their analytic aspects. Will use MATLAB.



1 course with a minimum grade of C- from (MATH240, MATH461, MATH341); and 1 course with a minimum grade of C- from (MATH340, MATH241); and 1 course with a minimum grade of C- from (CMSC106, CMSC131); and minimum grade of C- in MATH246.


Level of Rigor



Sample Textbooks

Numerical Analysis by R. Burden, J. Faires, A. Burden

Numerical Computing with Matlab, by Cleve B. Moler



Computer Science, Economics, Business, Engineering, Physics, Astronomy


If you like this course, you might also consider the following courses:

Math 420, Math 416, Stat 430.


Additional Notes

Duplicate credit with AMSC466 and CMSC466; cross-listed with CMSC460

Students interested in grad school in Applied Math should consider this course

Students interested in grad school in Statistics should consider this course


Computer Arithmetic and Errors

Machine arithmetic

Error analysis

Stability and conditioning

Solving linear systems of equations

Gaussian elimination

well-conditioning vs. ill-conditioning, matrix and vector norms

Software for Gaussian elimination


Polynomial interpolation

Piecewise polynomial interpolation

Spline interpolation

Software for interpolation

Numerical Integration

Elementary integration formulas (midpoint, trapezoidal rules, etc.)

Gaussian quadrature

Adaptive quadrature

Software for adaptive integration

Solution of nonlinear systems of equations

Bisection method, secant method, Newton's method

Methods for systems of equations

Software for solving nonlinear equations

Numerical solution of ordinary differential equations

Stability and stiffness

Basic numerical methods

Stepsize control

Methods for stiff systems

Software for solving initial value problems

Linear least squares problems

Data fitting and least squares

QR factorization

Software for least squares problems



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