Numerical Methods

Numerical Methods involves algorithms and techniques for solving mathematical problems numerically rather than analytically.

Introduction to Numerical MethodsSolving Nonlinear EquationsNumerical Differentiation and Integration
Solving Systems of Linear EquationsNumerical Solutions of Differential EquationsInterpolation and Curve Fitting
Engineering SimulationsMedical Imaging and DiagnosticsEnvironmental Modeling
Breaking Problems Into StepsUsing Technology Wisely
Introduction to Nume...Solving Nonlinear Eq...Numerical Differenti...Solving Systems of L...Numerical Solutions ...Interpolation and Cu...Engineering Simulati...Medical Imaging and ...Environmental Modeli...Breaking Problems In...Using Technology Wis...
Study Strategies

Using Technology Wisely

Work Smarter, Not Harder

Calculators, spreadsheets, and specialized software can make numerical methods faster and more accurate. But technology is only as smart as the person using it! Double-check your inputs, understand what the software is doing, and be ready to spot answers that just don’t make sense.

  • Always verify your results with a rough estimate.
  • Learn the basics before relying on computer programs.
  • Stay curious and ask questions if something looks odd.

Smart use of technology turns you into a numerical methods superhero!

Examples

  • Plotting a function on a graphing calculator to check for roots before using Newton-Raphson.

  • Using a spreadsheet to automate repetitive calculations in numerical integration.