a mix of handwritten notes in PDF scanned format and Maple worksheets using in the course MAT2705 Differential Equations with Linear Algebra at Villanova University.

**single oscillators:**

- exponential functions in physical terms pdf notes,
- sinusoidal functions in physical terms pdf notes,
4 quadrant amplitude-phase shift examples: [sinusoidquadrantex.mw,
pdf].

DE pictures: pdf notes - the decaying exponential amplitude modulated sinusoidal function family
pdf notes

maple videos showing different phase shifts and frequencies decayingsinusoidals.mw - linear homogeneous 2nd order DEQ with constant positive coefficients
(damped harmonic oscillator): pdf notes

examples in nature pdf notes - damped harmonic oscillator driven by sinusoidal driving function [dho345.mw pdf: resonance calculation side by side], maple resonance plots: general, specific];
- resonance peak description in terms of the quality factor and dimensionless quantities: resonance.mw
- integer characteristic time/decay rate factor and frequencies for toy example problems (quizzes and tests!): ddho-integerparameters.mw

**systems:**