• Doron Levy is elected SIAM Class of 2026 Fellow

    Doron Levy was elected Fellow of the Society for Industrial and Applied Mathematics (SIAM), class of 2026:  https://www.siam.org/publications/siam-news/articles/siam-announces-2026-class-of-fellows.   Dr. Levy is recognized for his amazingly-stellar and sustained distinguished contributions to research and training in mathematical oncology and mathematical biology.  This exceedingly well-deserved award is fantastic for our department and university. Read More

  • Artem Chernikov awarded the Bessel Research Award by the Humboldt Foundation

    This award is given annually to internationally renowned academics from outside of Germany in recognition of their research accomplishments.  This award is named after Bessel and funded by the German ministry of education and research. Congratulations Atrem Chernikov.  https://www.humboldt-foundation.de/en/apply/sponsorship-programmes/friedrich-wilhelm-bessel-research-award  Read More

  • Mapping the Mind

    Junior computer science and mathematics double major Brooke Guo analyzes neural connections to understand the causes of complex brain conditions like schizophrenia.  When Brooke Guo arrived at the University of Maryland as a freshman in 2022, she knew she wanted to help people and work in a health-related field someday.… Read More

  • Four Science Terps Awarded 2025 Goldwater Scholarships

    Four undergraduates in the University of Maryland’s College of Computer, Mathematical, and Natural Sciences (CMNS) have been awarded 2025 scholarships by the Barry Goldwater Scholarship and Excellence in Education Foundation, which encourages students to pursue advanced study and research careers in the sciences, engineering and mathematics.  Over the last 16 years, UMD’s nominations… Read More

  • Announcing the Winners of the Frontiers of Science Awards

    Congratulations to our colleagues who won the 2025 Frontiers of Science Award: - Dan Cristofaro-Gardiner, for his join paper with Humbler and Seyfaddini: “Proof of the simplicity conjecture”, Annals of Mathematics 2024. - Dima Dolgopyat & Adam Kanigowski, for their joint paper with Federico Rodriguez Hertz: “Exponential mixing implies Bernoulli”, Annals of Mathematics… Read More
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Description

Floating point computations, direct methods for linear systems, interpolation, solution of nonlinear equations, numerical differentiation and integration. Will use MATLAB. 

Prerequisites 

1 course with a minimum grade of C- from (CMSC106, CMSC131); and minimum grade of C- in MATH410.

Level of Rigor

Advanced

Sample Textbooks

  • An Introduction to Numerical Analysis, by E. Suli & D. Mayers
  • Numerical Analysis by W. Gautschi

Applications

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

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

Math 420, Math 462, Math 464

Additional Notes

  • Duplicate credit with AMSC460 and CMSC460; crosslisted with CMSC466
  • Students interested in grad school in Applied Math should consider this course
  • Students interested in grad school in MATH should consider this course
  • Students interested in grad school in Statistics should consider this course 

Topics

  • Floating point computation (1 week)
  • Properties of machine arithmetic
  • Direct methods for linear systems (4 weeks)
  • Gaussian elimination
  • Pivoting strategies
  • Cholesky factorization
  • Vector and matrix norms
  • Conditioning and the effect of rounding error
  • Interpolation (2 weeks)
  • Polynomial approximation
  • Newton and Lagrange forms
  • Error formula (derived)
  • Solution of nonlinear equations (3 weeks)
  • Bisection, Secant, and Newton's method
  • Fixed point methods
  • Newton's method for systems
  • Numerical differentiation and integration (3 weeks)
  • Numerical differentiation
  • Numerical integration
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