2 Integration lessons
In our session, we reviewed the integration of polynomial functions, the power rule for integration, the quotient rule, and the steps necessary to graph a function in order to determine the area between its graph and the x-axis. As we worked through problems, Scott carefully wrote out and explained each step to ensure that I understood the reasoning behind it. While he was thorough, we also moved at a good pace, which allowed us to cover all of my questions in the time allotted.
9 Integration lessons
Reviewed integration by parts and u-substitution techniques. Setting up the problem by choosing the "u" and "dv" parts. Sometimes having to do multiple integration by parts. Choosing the "u" and "du" for u-substitution. Solving linear systems by using matrix row operations or inverse matrices. Calculation of inverse matrix and basic matrix math operations.
6 Integration lessons
Integration by parts and natural logarithmic functions. Inverse functions, differentiation and integration. Bases other than e and applications. Inverse trigonometric functions: differentiation.