Mathematical Methods for Engineers II

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Main Topics of Mathematical Methods of Engineers I

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

Main Topics of Mathematical Methods of Engineers II

• 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

Lecture 1: Difference Methods for Ordinary Differential Equations