Daniel Flath

charging forward

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Linear systems

Learning objectives

  • Solve first order systems of the from dx/dt = Ax where A is a 2×2 matrix of real numbers and x = (x_1(t), x_2(t) is a vector of functions.
  • Increase knowledge of linear algebra
  • Understand, compute, and work with e to a matrix power.
  • Explore the variety of solution types with Mathematica graphics

Resources

  • Brief notes
  • Longer notes

In class

  • Work problems
  • Classification of linear systems, via Matlab
  • Some extra practice problems, key

On your own

  • Play with Mathematica
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