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COMPENG 3SK3

Numerical Methods for Scientific Computing

Undergraduate

Winter 2026 · C01

Topics

  • Computer representation of numbers and errors
  • Taylor series
  • Roots of nonlinear equations
  • Roots of polynomials
  • One-dimensional unconstrained optimization
  • Multi-dimensional unconstrained optimization
  • Numerical differentiation
  • Numerical integration
  • Linear algebraic equations
  • Singular value decomposition
  • Least-squares regression
  • Interpolation
  • Numerical solutions of ordinary differential equations

Readings

  • Numerical Methods for Engineers
    Steven Chapra and Raymond Canale · 2014 or 2015 · 6th or 7th Edition · Recommended / optional
    McGraw-Hill
Winter 2026

Topics

  • Numerical analysis
  • Linear and nonlinear systems
  • Least squares and matrix decomposition
  • Polynomials
  • Elements of linear algebra
  • Optimization
  • Numerical integration and differentiation
  • Interpolation
  • Engineering applications

Readings

  • Numerical Methods for Engineers Authors: Steven Chapra and Raymond Canale Publisher: McGraw-Hill Publication Date: 2014 or 2015 Edition: 6th or 7th Edition
    Steven Chapra and Raymond Canale · 7th Edition · optional
  • Lecture/course notes
    See source
Sources