Joseph M. Mahaffy SDSU
Math 537: Ordinary Differential Equations Fall 2019
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Lectures for Math 537

  1. Introduction (4-Panel) - Maple Commands (Maple .mw) - Maple System Plot (sys_plots.mw) - MatLab graphing template (graph_plot.m)
  2. Linear Differential Equations and Scaling (4-Panel) - (powerfit.m)
  3. Fundamental Solutions (4-Panel) - Maple Examples - eg1.mw (PDF), Maple_JFeg (PDF), jordan (PDF),
  4. Power Series (4-Panel) -
  5. Method of Frobenius (4-Panel) -
  6. Perturbation Methods (4-Panel) - duff_plot.m, duff_tsplot.m, sec_duff_plot.m, duffDE.m,
  7. Singular Perturbation (4-Panel) - bvpmatch_plot.m, bvplayio.m, bvpmatchxx.m, MMesp_plot.m, MMespS_plot.m, MMspode.m, MMspxoode.m,
  8. Method of Averaging (4-Panel) -

References

Notes for Math 337 are available on my website. The material for linear systems (2D Linear Systems A (4-panel), 2D Linear Systems B (4-panel), 2D Linear Systems Appl (4-panel)) should be of particular interest.

  • V. I. Arnold, Ordinary Differential Equations, 1973, MIT Press
  • William Boyce and Richard Diprima, Elementary Differential Equations, 2012, Wiley (early editions more on power series)
  • Fred Brauer and John A. Nohel, Qualitative Theory of Ordinary Differential Equations, 1969, Benjamin
  • Erwin Kreyzig, Advanced Engineering Mathematics, 2011, Wiley
  • J. David Logan, Applied Mathematics, Fourth Edition, 2013, Wiley
  • Lawrence Perko, Differential Equations and Dynamical Systems, 1991, Springer-Verlag
  • Paul Waltman, A Second Course in Elementary Differential Equations, 1986, Academic Press

Fundamental Solutions

Additional Resources

There is a Lab Manual (MATLAB and Maple) version, which will continue to be updated over the semester with detailed information for using MatLab and Maple on your written assignments.

Matlab:

Maple:


For questions concerning the webpage contact Joseph Mahaffy.

 

 

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