Mathematical Methods for Engineers II


Main Topics of Mathematical Methods of Engineers I

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  • Applied Linear Algebra
    • Discrete equations
    • Matrices
  • Ordinary and Partial Differential Equations and Boundary Values
  • Fourier

Main Topics of Mathematical Methods of Engineers II

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  • Differential equations with initial values
    • Heat Equation
    • Nonlinear Equations
  • Large Linear Systems
    • How to solve
      • Direct methods
      • Renumbering nodes
      • Elimination methods
      • Iterative methods
    • Modern computing
  • Optimization and Minimization
    • Linear program

Lectures

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Lecture 1: Difference Methods for Ordinary Differential Equations