General resources

Supplemental notes

• Inverting $H(s)=\frac{1}{s(s^2+2s+10)}$ - pdf, video (part 1 - partial fraction decomposition), video (part 2 - inverting the parts).

Sources where you can find extra problems to work on

• Suggested problems, chapter by chapter from Boyce and DiPrima.
• MATH 256 Chem. and Bio. Eng focus (winter 2013) - including solutions to some old assignments problems, old midterms etc. Note that the content this year will be subtly different so some questions might not be relevant this year and some topics covered this year might not appear. Ask me if you want to confirm anything you aren't sure about.
• MATH 256 EE focus (Fall 2013) - same comment as above.
• MATH 256 (Winter 2004) - same comment as above.

Alternate textbooks

• Notes on Diffy Qs: Differential Equations for Engineers - a free online text that covers much (possibly all) of the material in this course.
• Paul's Online Math Notes - another free online text that covers much (possibly all) of the material in this course.

Demonstrations

• Distinct, repeated and complex roots - A Desmos demonstration of what happens as the roots of the characteristic equation go from real to complex.
• Damped oscillations.
• A numerical simulation of a large system of masses and springs
• A slow motion video of a tuning fork - jump to 1:08 if you don't want to listen to the dorky British guys.
• One tuning fork driving another at resonance.
• Resonance for guitar players
• Forced mass-spring system - Amplitude versus frequency