Integration Review Day 1Reviewed basic integration
-Limit Definition of Definite Integral
-Basic Integration Techniques
-Integrals I need to know cold
-Area and relationship to integrals
*Watch with Area if curve goes below x-axis
*Limit Definition of Definite Integral (very important)
Differential Equations ReviewReviewed DEs...
*NO Bernoulli/FODE stuff
*Watch rate of change/proportional to...
Sequence/Series ReviewReviewed basic sequence rules/patterns
-finding sum, L'Hopital's Rule
-finding nth term
Reviewed basic series
-relationship with sequences
-basic series tests to know (nth term, p-series...)
*Be able to pick most effective test to save time
*nth term test for DIVERGENCE obly
Taylor/Maclaurin Polynomials and Series ReviewReviewed Taylor/Maclaurin polynomials
-error bound (La Grange)
Reviewed Power Series
-relationship to polynomials
-how to find series, and ones to know cold
-interval of convergence
-endpoints, implications of specific series
*Series is infintie sum of taylor polynomial
*Don't forget to check endpoints
In Class Practice TestPartner class work...
-entire AP exam
Advanced Integration ReviewReview more advanced techniques of Integration
-Know formulas, watch arc-trig
*If num greater or equal degree to denom, divide and solve
*TRIG SUB NOT ON AP
Integration ApplicationsReviewed integration applications...
-volume (Disc/Washer and Shell)
-area (x and y forms)
-other applications of integration in math
*Watch to change x to y if using horizontal rectangles
Final In-Class Review DayReviewed practice test and recieved take home tests back...
-remember to watch units on functions that you inegrate
-if integral = infinity, its reimann sum approx DNE
-good review, watch limit defn of definite integral
Final at HOME ReviewReviewed major concepts and areas that cause problems...
-dont forget to test E.P
-power series of lnx and ln(x+1)
Walk About and Final ReviewReadied our minds for the coming of the AP Test!!
(or took another AP Test, namely spanish)
GAME DAY!!!!Test went well...
-felt easier than practice exam
-lots of reimann sums and approximation questions
-looking forward to getting results back