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Integration Review Day 1
Reviewed basic integration
-Limit Definition of Definite Integral
-Basic Integration Techniques
-Integrals I need to know cold
-Reimann Sums
-FTC, SFT
-Area and relationship to integrals
*Watch with Area if curve goes below x-axis
*Limit Definition of Definite Integral (very important) -
Differential Equations Review
Reviewed DEs...
-Seperate variable
-Growth/Decay
-Logistics
-Eulers Method
*NO Bernoulli/FODE stuff
*Watch rate of change/proportional to... -
Sequence/Series Review
Reviewed basic sequence rules/patterns
-bounded/Monotonic
-finding sum, L'Hopital's Rule
-finding nth term
Reviewed basic series
-relationship with sequences
-basic series tests to know (nth term, p-series...)
-Test Convergence/Divergence
*Be able to pick most effective test to save time
*nth term test for DIVERGENCE obly -
Taylor/Maclaurin Polynomials and Series Review
Reviewed Taylor/Maclaurin polynomials
-their purpose
-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 -
Period: to
In Class Practice Test
Partner class work...
-entire AP exam -
Advanced Integration Review
Review more advanced techniques of Integration
-Parts
-Know formulas, watch arc-trig
-Partial Frac
-L'Hopitals
-Improper Integrals
*If num greater or equal degree to denom, divide and solve
*TRIG SUB NOT ON AP -
Integration Applications
Reviewed integration applications...
-volume (Disc/Washer and Shell)
-area (x and y forms)
-known Cross-sections
-other applications of integration in math
*Watch to change x to y if using horizontal rectangles
*Draw diagrams! -
Final In-Class Review Day
Reviewed 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 -
Period: to
Final at HOME Review
Reviewed major concepts and areas that cause problems...
-watch +C
-dont forget to test E.P
-power series of lnx and ln(x+1)
-KYSC -
Walk About and Final Review
Readied 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
