UNIT08 was all Integration By Parts, Integration By Partial Fractions and Differential Equations. We talked about several quotient rules for ln(x), arcsin(x), arctan(x) in addition to Integration By Partial Fractions. We applied these techniques to Variable Separable Differential Equations for Exponential Growth and Decay, Newton's Law of Heating and Cooling as well as Logistics!
Don't forget limits involving L'Hopital's rule. Be 1 with your inner Lindsay Lohan!
We also got to play with slope fields to solve DiffEqus Graphically when all these great integration techniques failed to provide us with Closed Form Analytic AntiDerivative Functions. Last but not least, we wrote a program on the TI nSpire CX CAS for Euler's Method to solve DiffEqus Numerically! We used examples from the Harvard Calculus text to work on our Word Problems involving DiffEqus.
Well, that's all folks!