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Integration
Mean Value Theorem of Integration
Average
Power rule
Trig rules
Usub
Log rule -
Differential Equations
SEPARATE THE VALIABLES!!!
Slope Fields
Euler's Method - x, y, dy/dx, dy, y n+t
Growth and Decay - dy/dx=ky --- y=Ce^kt
Logistic DE - dy/dx=ky(1-y/L) --- P=L/(1+Ae^-kt) -
Sewuences and Series
-Sequences-
Convergence
Boundedness/ unbounded
L'Hopitals -Series-
Convergence
Sums
Telescoping, geometric, p-series, alternating series, nth term, integral, DC test, LC test, ratio, root see blue handout for series tests -
Taylor and Maclaurin Series
common series (see green handout)
actual error
LaGrange Error - Rn(x)=(f^(n+1)(z)/(n+1)!)(x-c)^(n+1)
Power Series - Domain, radius of convergence, interval of convergence, endpoints -
Practice Test
Free Responce -
Integration (Part two)
Integration by Parts - LIPIT, Tabular, See picture
Partial Fractions
L'Hopital - Determinate forms
Improper Integrals -
Practice Test
Free Response -
Practice Test
Multiple Choice -
Practice Test
Multiple Choice -
Area of Curves
Integration
Revolution - Disk, Shell
Cross Sections -
Practice Test Debrief
Look over wrong anwers of practice test -
Final Review Day
Turn in review packet
Who can do... review -
Relaxing
Walk around the school property to relax. -
Game Day!