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Integration
Fairly easy concept.
Some important information to remember:
Mean Value Thm, Average value, and Second Fundamental Thm.
REMEMBER TO ATTEMPT U-SUB BEFORE ANYTHING ELSE. -
Period: to
Review
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Differential Equations
Also not too difficult.
Important things to remember: Euler's, slope fields,
growth/decay: y=Ce^kt
Logistics: P=M/(1+Ae^-kMt) -
Series/Sequences
Important: Domain is set of positive integers.
Sequence converges if bounded and monotonic (L'Hopital)
Telescoping, Geometric, p-Series, Alternating, nth term, Integral test, DC, LC, RATIO, Root -
Taylor Polynomials
Straight forward.
Important: Domain is set of x that makes series converge.
LaGrange Error Bound: abs(Rn(x)=f(x)-Pn(x))
Interval: Rn(x)=(f^n+1/(n+1)!)*(x-c)^n+1
Accuracy: next value
Converges Abs. for abs(x-c)<R, diverges for abs(x-c)>R
If series only converges at c, R=0
If sereies converges for all x, R= infinity
TEST EP's -
Advanced Integration
LIPET: Log, Inverse Trig, Polynomial, Exponential, Trig Partial Fractions
NO TRIG SUB -
Integration Applications
Tabular Method
uv-Int(vdu)
Ind forms: 0/0, inf/inf, inf*inf, 0*inf, 1^inf, 0^0, inf^0 -
GAME DAY
The Superbowl of Calculus
Relax
Show all work to get as many points as you can. NO TRIG SUB
