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Xiao Jie

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Class Notes

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MATA36H3 Lecture 1: review of 30
Derivatives sin ex ) cos cx) cos tan. X ) cos x ex ) t cos 4 7=1 odd even tank x ) t. B and range a f- " f- cfex ) ) a f un ) The inverse function fox
MATA36H3 Lecture 1: week 4 monday
MATA36H3 Lecture 1: new doc 2019-01-24
MATA36H3 Lecture 2: integration technique
See a portion of fix ) to be equal to. [ u aux ) ] some quantity involving x. Replace dx for in wad dx the integral dx. After this function do step . n
MATA36H3 Lecture Notes - Lecture 3: Inverse Trigonometric Functions, Fetus
2 pieces : u . du f fex ) fu . du. Note : after you choose u , du must be the nest of fix ) that is multiplied to. Calculate derivative of u . integral
MATA36H3 Lecture Notes - Lecture 4: Quotient Rule, Cg (Programming Language)
Derivative techniques linear f fftg fftfg f of off f cfg ) ]=s f g tffg " fg f the anti derivative a native cancelled. 2 f t f g of g t f g. C i of the
MATA36H3 Lecture 5:
Ext llhnltiples of seccx ) and tanux tan ex) Faux - see x see 2x tank f gtanxsecx - secx. X f seitx tan x f seek ctanxtl. Odd power of seek and even po
MATA36H3 Lecture Notes - Lecture 6: Partial Fraction Decomposition, I.Mx, Inverse Function
MATA36H3 Lecture 7: integration
Fraction f cx ) want to integrate rational function qcx ) and pox) are polynomials. * process is long . together referred to as partial fractions. "t d
MATA36H3 Lecture 8: Notebook
MATA36H3 Lecture 9: partial fraction and ODE
Division get p } degree top 7 degree bottom. Get j 41 or j is this k can only be z k irrted quad: integration. 2x it"s if not work . to eliminate x . w
MATA36H3 Lecture Notes - Lecture 10: Hard Power
Clo marks ) both even power sink cos x f. I odd u cos y du sin x fsihxc f sin x cl. U - tank du seek dx e ) f tax see. 4x dx odd power u= see x aux. B
MATA36H3 Lecture Notes - Lecture 11: Deuterium, Thx, Partial Fraction Decomposition
T i fu - t inf x - 04 has 3 integrals misc trig sub fractions. Partial i ) j -3 341 410*1 dx u ( x. = a ex - 2) t b a . = dx f ut du t s it. 6=0 of the
MATA36H3 Lecture 15: separation
Ode is an equation that defines ycx ) implicitly , mix x y . derivations of y. Typically , not possible to solve y ex ) Separable equation easiest type
MATA36H3 Lecture 16:
Form : t oc x ) y y. Even though it"s t pex) y = linear dad become. 2nd order typically , there is me solution. The motion of atomic particle , such is
MATA36H3 Lecture 17: complex numbers
The complex number is a f at ib la , I means algebraically . it behaves identically to the real numbers field view i as a variable. Q is a field field
MATA36H3 Lecture Notes - Lecture 18: Triangle Inequality, Unit Circle, Coset
=lcis o } do not write in this way. Cio coset isino i co , -102 ) e. O " i 02 e e ( ere ) eino z. Both z . za are in a unit circle. Adult i ply 2 compl