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ENGR 391

Numerical Methods in Engineering

3 credits · Undergraduate

Fall 2026

Topics

  • Numerical error and conditioning
  • Roots of nonlinear equations
  • Linear systems
  • Function approximation
  • Regression and interpolation
  • Introduction to machine learning
  • Numerical differentiation
  • Numerical integration
  • Initial-value problems
  • Numerical ordinary and partial differential equations
  • Implementation in GNU Octave and MATLAB

Readings

  • T. Sauer, Numerical Analysis, Pearson Education.
    Recommended / optional / reference
  • R. Bhat and A. Kaushal, Numerical Analysis, Alpha Science Publishers, ISBN 9781783323463.
    Recommended / optional / reference
  • Rolf Wuthrich and Carole El Ayoubi, Numerical Methods for Engineering and Data Science, 1st edition, CRC Press/Taylor & Francis, 2025; ISBN 9781032200699 (hardback), 9781032200750 (paperback), 9781003262121 (ebook); DOI 10.1201/9781003262121.
    Recommended / optional / reference
Sources