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3 Pages

### lec8

Course: MATH 214, Spring 2011
School: George Mason
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Word Count: 248

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Coursehero >> Virginia >> George Mason >> MATH 214

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Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
3 Lu+ t4 o*tt,'a , Leofru- h'n^o: burla.t*V A' t' ar, dtd fL* L b 7/t) ,Vft) ilae. ual,a*-a rwa!-ftuoal ls* al^obl .re,t^ c,,l tt /t \ - ro'u,'a'd-l frc,il *^*( #rc,/ Ell- Jtg,0u'r@..,,u L A (e)=o Firc( i^qimaL uze- cetrtrutocrA, -1'=c lntetuou ul'* gsL<1t2-t fauh/elr' b uft/ 2 ur./ ci,th. l+urrr'?/-.r. . I f ck. t+ut7= F,'nl d-14 l^tar/ds - tG{)-*. y q'+>0 tt<o (*t Sr g SirS.,Sr, AJn el!. t fq;cttA lil/rl4L Sa{. o/ tut> Caa & ua.?tt- i4%**'* 4 tt' fuf t1t)= -L f, 1Q,t)( -t<+<o,t<oj ,'r {/. ,ner;^4'L qrt'tu u/al &olc'A'oa .?f rJ : Lh*"t/, ;t ui// orlt in fua>f-,it=q,t97 II ile o't'l , A/ro* f r'8 ch f,-r lzrtornnry 914a49a ff 'r ',?t' ffd; ? /4a rt"'* ilrndzau;,i,? *r= T7*" fu gtza.tt'e+',a a-ll ab"7.a S?aanlA, fu; l,G-yyr+X)3 t:{rt=Z AA &o tud'ue4 u//lhazl ialq /u qo, A aoL'ta-h'vL Wr.t"M(@,. f0) h ft4?44 a) ,orQJ")=o 4 o2 F*t s7',tt 4 &W &. '/ {0 Tronrfc* dircc'\'oq 6'tu'n" ttus l/'rt4a-au5'a'n #to 'fi'!-(' EJ -/ -" liie4ffin /Q<o &^ y(t) 1+d +F, ;( t")L o, ;f b'f,t l or lb<o 9, ;( i"=/
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George Mason - MATH - 214
!4&quot;n atfC/orr, ('coh'o^ ,lLq*A &amp;u'oIacfw_s'=|Q\(.*h *etrB-q?k-tr*girre.a4Lfu/^ i scfw_alL1E= ecfw_z-&quot;t)il'ldaoee41-.;h'6+&quot;t'&quot;-e ur'nto+u t= LL?gh^a&amp;t-4-exa* &amp;&amp;t' (A -&quot;)&amp;'=Cb*t;rt, 141-,'4naTz)il:;+t4o4ttu^'nla?-q 0-4r oLc
George Mason - MATH - 214
l'la;t 2/(.Leocfw_u.e' I aaa+.c\ead orrattl9a raiin gurtte9\ocfw_&quot;*6a'*'ts-oqftr) &gt;o'l&quot; = f (t,fia')YaY-r.f| ?' fbl=orqaI-aPus=o.tfte*e is gtt (aa.*a - 2)th*o ts-+ hL fe44.,fru qtaitctt ,J Ct-tt*&quot;l e*nltfiLas-)2 tn; hal4=+ lfu
George Mason - MATH - 214
kl ,ra e tq.li&quot;r,* tt,La'l+h'u-.Q-:?- sla*e-/ tt&quot;* tf il' , t'W(f&quot;X) G'l +o* P@t'+ q(t)V = oA&quot;-t/tto,fttl^t U2 boqfa,c&quot;Ja Cr, Cz d ac4 ftra*+ (r/, s&amp;tq A^2 / t/f=0sa&amp;'a71.*/ ^&quot;//, .lft)V- ,ttt r. ' ' ^ tt l,-.nr0&quot;+Plt)Y'+ ?tt)A =O)
George Mason - MATH - 214
llon p tq.*-*'-ILe or\^-. /e6r'*r/ = O e Zad a4dr4 L'r,to,t ar&quot;,lt coe+/s6+ar&quot;+t^t2 tr2-; c =Q * oAana&amp;o&gt;ish'c ghOil&quot; +, PaAISt)h*rz tea!=)I =('ent *Czerzt4 rr=?z74 ?= 2- if - c^ t^. r hd&quot;?' E =?*',' ut+tev)aatTar'+?r+c=oGrrq&amp;^ ra\$.
George Mason - MATH - 214
ItMa-r%Le2/+.r*r*e a 3ad&quot; +'00'* ,? = o :)I@=-Ft)h,*h)u,u?,/,&quot;.^*2e4ae1d14,t=r?,%:': '/rea[ 4fi'eh'nct-n -tac*I = sr't acz&quot;tJ) ' ! f/) ,-';, = Fa real r7n.t/C:'1n='tr, ert + co.i&quot;r,ur,&quot;: r if ca'*/i42Cte'r nft + C'e?'s'e7tl4
George Mason - MATH - 214
Ltrn 2t(ffi,+plt\, * ?ut= Vft) +o0&quot;nan/uot+, /t) =/ A*, l,an /t) + cfw_ut/*,txlu -J/'-zV = g7 &quot;,- 4v'-3a = o-rt-1,-i-QPort'crrlat s&amp;z-rlbe' /v aaarlaa, 1ia,- ho4luta.* Aont,a@Ur/4 = -/n oAlrn-r,-(t) = C,3=4t/' -3Vh h4. ,!e = hrttt
George Mason - MATH - 214
t-kcfu+eIrlfrd la-ffir.od'&quot;B/'* V =Aft).Lt/atet*;@|r't= Cr e + C, e4t/Aor,t h * tzrea( tubats;nvf= C/(*vt +(&gt;e4, ab*,, t=itt/r Uu&lt;y'e+3)Cu,-, = c,eht + Gterr=4- - rea.l tTeddtr tH = f,/*) +/1&quot;&amp;l :) 4&amp;) = ,!p'Gt + 42,?)If fft),r'qP'fu&quot;
George Mason - MATH - 214
lvloru ttttI.bct*elbftled all;car+ f[ecrt*,'caQ l/r't-ot\ou.alnu, I futq Ku&gt;F;V - rvlcsc Vlur:I trrd =4oLutH=c(o/Free taadat rae/ Ui&amp;-a*aa:Cwr.f=o=o(Inu&quot; +Ku = oFLUh)= eo, ut/o)=4o 'u(t) = C, c* tFt +Eq* raau,t fnn,ktl'r' + K= okr
George Mason - MATH - 214
tti /,VIrbra:h'4:larf a.cfw_?Ie*rn t+lhu&quot; +hl+ kLL:F(qC/'CL(f+o dattpe-lt=o-,lvfrez ,F*o 4*a,*o4sa.l+)-'-=rcLGrrfil'ont f* g*n ,t(Ar'4 t-'(u%aA'o't d/4,to T^t;V)r)I ,Ft =ta;ne' A (eel)ny-'&lt;e unih fftL-l /tuOl rLlLejt;c rt*'-t.r &quot; lt
George Mason - MATH - 214
ftloll.ek,DelLuX&quot;-e, lE .acfw_TqHT = ,-ttf(t)at,\fd*rt,a.3.f&quot;/ f,/ t+',? h/&quot;* fu*+pn(* /rp),b?/&quot;* rror&amp;n 4 /-e rrLffif g4.,'t;/*,&gt;ta)/orrroo@S/*-'&gt;/f&quot;.'oen*,v-v. 16) = ttAJ v/,t*c Vftt a^+-n/#t leLr*la.7V/4 ,tna,AJ cfw_oa*&quot;o rl
George Mason - MATH - 214
lvtotl 2/qeertl,r-*cfw_ t.t_.f,(q *J:*'-*fu&quot;r+att4,_(t&lt;cuc ft) =cfw_-.-llr43\/Iu'(t) =cfw_?, t&lt;3cfw_ 7229 4lil - Qsft) =Ql= oua7: *&gt;cc&gt;.o&amp;')n,ba9 &amp;4Qt= /S(o, F3,t&lt;3#f&lt;cfw_l-o, 3 s b&lt;5hzcfw_l-t t&gt;sus*th /t) + 2 us /*) -
George Mason - MATH - 214
zt't ,Lect*e eaI'lAG'ronfk) ,ilt;lo,nY',Fe.Vetu,t4-rt,taho4sfrp loh;\riu'&amp;'Ps aa* a*=cfw_0, tl&lt;t 2'| 2t ) |t&lt;*i' c *=3-! , t2-L.\ J'24 fft) =( o ) +(at-|uirn -+- (r-t)urft)Ln-Br. -rt+1 =f l,olt&lt; +4-t-I o?'tt,qll;nt-,-&lt; +&lt;6
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 1Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1): Let f : A B and g : B C be functions. Prove the followingimplications:f and g injective g f injec
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 2Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1): Let G be a group and S G a subset. Show thatC (S ) = cfw_g G : gs = sg for every s S is a subgroup
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 3Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):Show that a subgroup of index two of a group is a normal subgroup.(2):Show that the automorphisms
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 4Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):A group G is called solvable if there is a normal chain, or sequenceG = G0G1Gn = cfw_e,with each
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 5Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):Show that a group G on four elements, |G| = 4 is abelian. Let N4 be thesubset of the symmetric grou
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 6Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):Let G be an abelian group with |G| = pn for some n N where p is a primenumber. Show that G has a co
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 7Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):Let G be a group with |G| = pn m where p is a prime, gcd(p, m) = 1 andp &gt; m 1. Show that G has a un
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 8Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):Let G and H be nite groups of relatively prime orders. Show thatAut(G H ) Aut(G) Aut(H ).=Here Au
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 9Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):Let R = cfw_m + n 2 : m, n Z show that R is a subring of R. Showfurther that R (Z2 , +, ) where Z2
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 10Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):Let R be an integral domain. If a R is a unit and b R, show there isa unique automorphism of R[X ]
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 11Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):For a ring R, the least n N such that n = 1 + + 1 (n times) = 0 iscalled the characteristic of R a
George Mason - MATH - 621
MATH 621 Algebra I Lecture NotesGeir AgnarssonApril 19, 201211.1GroupsSome preliminariesThese lecture notes will follow the class text [1] fairly closely. They are, inpart, based on lectures of the graduate algebra class MATH 250A given bythe lat
George Mason - MATH - 621
/F\/&quot;(,-ttf t'f-PG'-cr\$qt\eG;[o,r etcoaret]\Mfrhrrq cfw_tt) i t-r'e G. , @tch Etracha,r Cnra be vieuved aswhere g;eGe fuv eotth t[Cec)ier , GsG. rdz&quot;|'\$ ol G.&quot;or,r ' i-+u yU-&quot; ( ff bouq, A:Gtu,^p opentl'oq:i)iercfw_(qJ,*r' (t)rqr._(
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 1Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1):Let f : A B and g : B C be functions.(i) Assume that both f and g are injective, we show that g f is also
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 2Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1): Let G be a group and S G a subset. Clearly C (S ) G, so to showthat C (S ) = cfw_g G : gs = sg for every
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 3Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1): Assume that G is a group with a subgroup H of index two in G, so[G : H ] = 2. Let g G. If g H then clearl
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 4Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1):Assume G is a solvable group, so G has a normal chainG = G0G1Gn = cfw_e,(1)where the quotient Gi /Gi1
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 5Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1):Let G be a group on four elements. For each element a G the cyclicsubgroup a is a subgroup of G, and henc
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 6Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1):Let G be an abelian group with |G| = pn for some n N where p is a primenumber. If n = 1 there is nothing
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 7Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1):Let G be a group with |G| = pn m where p is a prime, gcd(p, m) = 1 andp &gt; m 1. If G has N p-Sylow subgrou
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 8Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1):Let G and H be nite groups of relatively prime orders. We want to showthat Aut(G H ) Aut(G) Aut(H ), wher
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 9Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1):Using our more recent notation from class we haveR = cfw_m + n 2 : m, n Z = Z[ 2],all polynomial express
George Mason - MATH - 108
)qNA0r-S&quot;,L4.-+-rj q (oll eth'one \gu'lpF-obJ-4tt'tacfw_rA:f1,3,s,1,?1Hgq A t&gt; lh s-i o\$ o Jcfw_ I^nuru/w\Arnabtn frorvsO ,1&quot; 404,3, .1-V\!. lnuu,tbfhq e\ Q,n r e.ul'r o llntT\orF 3\Its eucfw_-q\^ebscfw_ V,1,qc^rQ-Srr\ Aslpu,tartt
George Mason - MATH - 108
lr^.12.,tc'(l/r2 /tvg\tIItt.l+-- A Iqqlergg -k,t \t^4!:t\$ytsrprt) o[ [cor4&gt;niY-?u&quot;lcfw_r,uo\\l\e,Rse* erpill cfw_'r cur'tu&quot;rL1P- TW Vorizou['L'\- flnq vurlcfw_Lct,\cupl r ic9pcfw_ l\fJso*lVtr*VAol-\^cfw_+l^cfw_y-D\xt14-AY5
George Mason - MATH - 108
3lchnncFs fr*ed qrr'int\A lax,itrfrun[.0- ou d cfw_htra q ct f x,u'r 'ka- 'n urhr,rni\qs1' IF ccfw_ Lo vrait't; d'vrr^e- tosls[-,e6al l-|'ftp* u^uth ,'ttrrrilqs^t':o&quot;3x+L[Wl\$q'et cfw_'Yi&quot;q 3k\f&quot;)Iowrtb-7 ? -1l+vrb :4'l 5 '[tx)12 vat
George Mason - MATH - 108
&amp;cfw_&quot;^)Cavr hr,'Lrcu5\$tr) t\ .-noLTl,t,tlt^1&quot;wR-\-0h h 14t44tytrcfw_-@(ohhruue-uJI&quot;c tMak!- PTtUSQ- tpiui-:\,lln\l,r e u,\ah'ralThfcfw_^t^clrorrr &amp;r,roh'onFor c\4&lt;:L ls bu;eJb;ttttw\utrf Poiwfoh fhq icfw_r &quot; /Cen cfw_.n&quot;'orrr t,rul
George Mason - MATH - 108
s^lDe[)'Vr4hresDenvrhvesc4re J,rtetFlS re,\,abd Io li'a 'ls :@ Fn) : ,f.,L3=Tfie lrurt ilar'o&quot;tfitlq\ ot'ud (Yl tYt^f )herr slo 0LC3d^f-qM:tA/t(3+h\ - 3rrz6t-h) -'1V\nqtnh-o\trnah-loI\iaahrot\y1of 1 3tuulcfw_-14q-&quot;slopq't] +
George Mason - MATH - 108
:ll,\$tx) r! U,[hfeth^uk_ ,\?)^uM fntre wunl w x ri o\$tua dlvtoLedffbrr Atr v'tslectcfw_ '\$ hU( f&quot; q&quot;utUaZrrs |r 't vA qrL c\tttvtt'41cl bll,.- - )^Klrrnn \$(Ttn- [dhI'o oSir';qlha,t fun Sf,rrtottl h[t*rln)[-\x\hof\Wgl4rl\ a-x, cfw_'tx)
George Mason - MATH - 108
7lff\$g')r! il/'mersuh^bt( ,WtLvUM frntf ew unlAtrh([^(-W X ri o ['luasleotcfw_arwt|nZrlqcl bl,-)eit';qlha,t fun'\$1;rhrt VA qrQ- chauattrt\$(x+h)- F&quot;))rrnnhhnoSr,rantldlrnptedhwQ-t\x)\artr e-x, cfw_'tx)hocfw_- fixrh) *. [r&quot;t
George Mason - MATH - 108
Mg('r.Iqnu\rtcthonstof &amp;ttvcth4SIf-TucyrDrsiurt 6&lt; dltf.@Gi^3 hr^thU&quot;sllt\ttt llt\ l-ttIIIt\l&quot;-tJt,)'-.'-J-rttrlllrll!(Af\.ttA k*chPt [t*t \-5r-lt?trefts]'t41-if* rntervu&quot;\ Lc^) bl i Ir\rLT, =) [t*, ) L' Llx;Qw[or o\P
George Mason - MATH - 108
t.,'qI\vrA Xex-:frr w^\tra,tfri-2s,XubLrcr (oWe. hvrve'eve4'tV I,\^&gt;'.r oddIfiry4F\iran4K-riF fr:offncr &gt;0it &gt;oCDa/-N)r It h-oo\_o rf n &lt;4Ut^@r&quot;fCox-),oaLt)c^ wq h*t^q-'n^(-&amp;-J.1t\,/'n-l.:..l\w1.\-lrn\Q't:(f
George Mason - MATH - 108
tlqlr4l TI* [&quot; rho,-,texP(ry)ts tgL[ed |u-erqp: fP- atWvv t+A F/d['ip.q[o*!t btl&quot;t \$,v,6*\OWu\ cfw_4!.4- )otT)4[eKt-, Pn3re\^sry\)'^vefftv,rll1i1uvtwfuA(b=ee(o,t)e_JtL,iLilsucfw_rx*Yt,Afu'scfw_t2\Jrr,u\-lh,4: (ba t t
George Mason - MATH - 108
l'5 ?I a,.\\KX\7*t \,uil -l- - d- .lI Ir,rlo&quot; &amp; lr,rX:I rl-^lll_^Irt W\/=-It)I\IIII0)oItna,rE'(o)I!SoI.lv^p'1 =- lvtlo '7O.l'lT tA I trIt, It\lrd lnj&quot;U lr,r Lollxc4^:4,( lnt\lKA: K+[^*\[tr^):cfw_^(lut't&quot;')nx
George Mason - MATH - 108
2Z L ( Sc,+e.\?xo* SX- k114T'-lLe'\-- ^?rc?*'*t\tr&quot;t l&quot; J'\'- 'fo It Srov3 or- venhSNokcfw_,rSou&quot;q cot4llo^f cfw_eoLsltr(x) +q-\,th^rt^r\MIcfw_- u\ u\otl vrucfw_- cfw_o to)&amp; [rnl+L\ :udJHe,enhiuk:I15,t\n\6 1-o fu-L \n*' &amp;x
George Mason - MATH - 108
MATH 108, Introductory Calculus with BusinessApplicationsReview sheet for rst midterm(1) For the quadratic function f (x) = x2 + 6x 4 nd x and y intercepts.Sketch the graph. Find the vertex and the extreme value. Does it have amaximum or a minimum va
George Mason - MATH - 108
MATH 108, Introductory Calculus with BusinessApplicationsReview sheet for second midterm(1) Show that f (x) = |x 3| + 5 is not dierentiable at x = 3. Is fdierentiable everywhere else? Explain.(2) Is f (x) = x2/3 dierentiable at x = 0?(3) Use the pro
George Mason - MATH - 108
Department of Mathematical SciencesGeorge Mason UniversityMath 108, Introductory Calculus with Business ApplicationsFirst midterm exam, \,cfw_arch5, 2012,Rob. Hall- 8104This midterm consists of 5 problems, each is worth 207o, This is a closedbook
George Mason - MATH - 108
EdtFHTDepartment of Mathematical SciencesGeorge Mason UniversityMath 108, Introductory Calculus with Business ApplicationsSecond midterm exam,April 9th,2012, Rob. Hall, 8104This midterm consists of 5 problems, each is worth 20%, This is a closedbo
George Mason - MATH - 108
Sotr,rh'pil\Ul.fitntIL4-)u\= fol*tfl|_,|, Kvr^M(Dfttuf)b\-q[o) - -Llf+ bry, -11 -o-Rtl6ur-Lz_A-btf:T(0,-tcfw_)=t-;rffi4.ta,r-l .,3'q:\-\- JA- -3icfw_'3:(-13-tr0)t-II,cfw_I ,lWL.-'/-\&amp;\x) Wsc/\.wtMvrulnQ-: !t -*r=
George Mason - CHEM - 212
GeorgeMasonUniversityGeneralChemistry212Chapter13PropertiesofMixtures:Solutions&amp;ColloidsAcknowledgementsCourseText:Chemistry:theMolecularNatureofMatterandChange,6thed,2011,MartinS.Silberberg,McGrawHill04/22/12TheChemistry211/212GeneralChemistrycou
George Mason - CHEM - 212
GeorgeMasonUniversityGeneralChemistry212Chapter14MainGroupElementPatternsAcknowledgementsCourseText:Chemistry:theMolecularNatureofMatterandChange,6thed,2011,MartinS.Silberberg,McGrawHillTheChemistry211/212GeneralChemistrycoursestaughtatGeorgeMason
George Mason - CHEM - 212
GeorgeMasonUniversityGeneralChemistry212Chapter15OrganicChemistryAcknowledgementsCourseText:Chemistry:theMolecularNatureofMatterandChange,6thed,2011,MartinS.Silberberg,McGrawHillTheChemistry211/212GeneralChemistrycoursestaughtatGeorgeMasonareinten
George Mason - CHEM - 212
GeorgeMasonUniversityGeneralChemistry212Chapter16ChemicalKineticsAcknowledgementsCourseText:Chemistry:theMolecularNatureofMatterandChange,6thed,2011,MartinS.Silberberg,McGrawHillTheChemistry211/212GeneralChemistrycoursestaughtatGeorgeMasonareinte
George Mason - CHEM - 212
GeorgeMasonUniversityGeneralChemistry212Chapter17Equilibrium:ExtentofChemicalReactionsAcknowledgementsCourseText:Chemistry:theMolecularNatureofMatterandChange,6thed,2011,MartinS.Silberberg,McGrawHill04/22/12TheChemistry211/212GeneralChemistrycour
George Mason - CHEM - 212
GeorgeMasonUniversityGeneralChemistry212Chapter18AcidBaseEquilibriaAcknowledgementsCourseText:Chemistry:theMolecularNatureofMatterandChange,6thed,2011,MartinS.Silberberg,McGrawHill04/22/12TheChemistry211/212GeneralChemistrycoursestaughtatGeorgeMa
George Mason - CHEM - 212
GeorgeMasonUniversityGeneralChemistry212Chapter19IonicEquilibriaAcknowledgementsCourseText:Chemistry:theMolecularNatureofMatterandChange,6thed,2011,MartinS.Silberberg,McGrawHill04/22/12TheChemistry211/212GeneralChemistrycoursestaughtatGeorgeMason
George Mason - CHEM - 212
GeorgeMasonUniversityGeneralChemistry212Chapter20ThermodynamicsAcknowledgementsCourseText:Chemistry:theMolecularNatureofMatterandChange,6thed,2011,MartinS.Silberberg,McGrawHill04/22/12TheChemistry211/212GeneralChemistrycoursestaughtatGeorgeMasona
George Mason - CHEM - 212
GeorgeMasonUniversityGeneralChemistry212Chapter21ElectrochemistryAcknowledgementsCourseText:Chemistry:theMolecularNatureofMatterandChange,6thed,2011,MartinS.Silberberg,McGrawHill04/22/12TheChemistry211/212GeneralChemistrycoursestaughtatGeorgeMaso
George Mason - CHEM - 212
GeorgeMasonUniversityGeneralChemistry212Chapter23TransitionElementsAcknowledgementsCourseText:Chemistry:theMolecularNatureofMatterandChange,6thed,2011,MartinS.Silberberg,McGrawHill04/22/12TheChemistry211/212GeneralChemistrycoursestaughtatGeorgeMa