math117 lecturenotes2

math117 lecturenotes2 - S Lectum#u 1.4...

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[4.3 Womawkmémw%wnfl)mdmm —— £0 Uc M a Pot WS‘k'mK) om ecu“ 19¢ '- if“) WWwMo.£o&+LLfir-¢MQ Lukww «k mmumm Huge ku-‘MM', amp“ ,Wmak/ubwt7 to g M44“, ares/{ref Mvaa/am‘vdsk: v "‘ ) Ir'I—GH ‘ 1 ' ‘ a .1: \\‘ I; ‘ l “: ‘ia ‘\ It h‘...‘ -—-' . -~—'0 —-‘.- ’._-—_.—J,’u—.-——-’?£- I . ‘ .1 . Exw £44 M OM,'PMO Fvvfmskauq, ’ fifth) t ‘ < I f ( ,2 I .' ’ (t /f ’r ‘ 1 '1 ‘v' I l \‘l c-«A’~ ‘-- m~--——~ ~—"~— r'~ ’--,'~~-~-—t:-?{v If :\ 1:0! as“ r 2 :‘x I ’r l 'f ‘ 1 I ‘ - bani—flgb—fi; P:2 t 2. o Standoust , Lone. m, wepuw" can. ship, 91c wa’L 2) M4. 50 F:2_‘ ‘4 SEW“ Ex‘ 2‘10/ PP.75~74 ) o; HEM. § 1,5_ Rad-tonal RchrLons and "Partial Fracéionc. 5'1 (HEM, pp. 99407) AS tact; dvmdj k/wow- ) a, "v‘wflonafi, got” {a a, .930 53 Hm. szio 04: ’cwo polarwmwlsz H30 = {’0‘} ) 5L(X);Eo §or M x . mm is “‘WCNW)‘M<W) 1mm ‘4 WNWWW) oFa—ob 1. : Ana FroPQ/r poi/9 .9117 Cam toe abresseol cu: Hag sum 0; $EmFler vah'e gets whose, dom‘s m QM or hreduo'cble Quadfajcic Fade” . ExfimPIS : 6X+8 : 2 + #5,; xH—sx-i-l x—H ’0‘” Wm; Process reduces ‘H‘e Sum. This process e{— +1.09 fak'e fats "to one Splits one mfg V £4: ‘wcbo Hm. am» 0g- cho 91' More: Mai Functioning O Fad; 2 : ij Mpvoper TaE'Q {ck Cm be expressed av. Hm SW 08. a. {>0me and. a. s":ng Proper {0.912. fr): COM. Ham be S’pl'tt in PCWHQQ £fQCELbYLS). 3 Exmplg: 4" +‘Ox+u =(2x-l)+ 115.411. =(2x—|)+.‘.L+ 3 - 1x1 +x axz+x x 1x+| di’zyiSLm )cu; 5mg Quoh‘erd: This is cum/fled. 53 (on? The TA's mm W im. 34.09:: “rewiew {his denominator )Mmerabr Mntque. ¥ov~ a. review , shalt, Exmple 2.23 (P. 99) 04 ME‘H2 horficing Hui: ‘er Iona envision is clenched L3 denomfinal'or) numerakor ( quo‘c‘nenk- g 1.9 _ CLmular Fuwc’rtons . (HEM ) mp. 114-122) | 5.2 01mm XEI- ,ms 15 q, Effie? W a; ma’cevu‘al 30a, chL (M. count. oHoJcivaJcaow .The. Sum. Md. Casi/ma ka m Jmo 0!} HM: M054: Mm {ots (m, mm: J became, Hui.) due/aloe, ostJthaws and. vaerions —-a.uaL Ow Hm. wax/we “awake; or vflorakes. 0 113.170ka £63253". 1. We. menu». 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(Bgl'kew-aj,wem {:an O.F0~TQAQMO.K {0.264.94- meeemw‘mttosm W92. we Cow. pd: wk Male. in» cow/respoan Mk a Owl'lw. maQ Ne We W$W cm “Hue W'LW “RC-j .%,I~OW€A}QT ,M 1; we. 1cm Um; 132%" *sm an ’cluz. {piece fikm'tcheol. owmadm—Mmcmg—iuoLcw. ‘ immeer Hun meGL c1152erth3 exylmal, (Sex; Rem “on p. 3.3). We. W,kowarcr, “to recto Hm. 31mph. usng Hue Sm stain. on 60H» axes ; Hm we 0% mfleck H19, amply about Hm. W3=X ,cvs done toe/(em. 4‘ 1’ Note we an, (Sim—ix» a x , ML 5675' ()0) : 90 \ a Eewfle. I“ we 1700b "j"; Mm, aux/ease sfm, £dc Tes’criched. Jew—1%] is mm m (Princhan vm M Weed by Sow) Ex """"“" 6. HOW News 10% Sim, (or__ggs)f¢_. (HEM, p.123) The "many" mam/u ow: We «34—41%» 0.? (01' 605) mam: ii: 0517mm Wat W252 {—369 $Lu0u1d be 11% Suite/A to “mom a. W haw qg W Phenomenq. . A ‘ltyfiwfl. ” Hne form. _——~ Lax.” (ea-fun. a..c-WL{:0.3,2.) kas A 30M“) (w Acos(w{-)> This (A J T W01. Hue, W impl‘dcm HM" WM W‘lmfi (03:21“) = Li?) . Fvecfumflfl , we need 4:0 add, Jowo Weforms ,Sat, (*7 A160", (0.3%) + A2 00; (wk) . AHka Hm, £100 mfomg km m saw- {reflmg H“? We. {4&ch ; So flu. cluesth 1A , W144): in “a. wrung. 01c HM; W WW 9;) ? A’MSWOA‘ (using a, kick): Lek {A wsép): A, Tim (#6) me; A skit?) = A7. A (swat) mM) + 0016.») swap) ) (ear) -_- A 3cm (we HP) 2N5H,p.114,51.(2.244) L Phase. supt /‘\ .’ _; fl -7 I :- , 1": 4/ / 7‘9 ,L (p z‘ ' ‘ .‘I v ‘; ‘ ’ ‘ n ‘, WW cus’olaCevW (for phase“ 94;}: } D x I ‘ ,- ...
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This note was uploaded on 05/27/2008 for the course MATH 117 taught by Professor Harmsworth during the Fall '07 term at Waterloo.

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math117 lecturenotes2 - S Lectum#u 1.4...

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