r o f a 43 S i l a s T r a v e l s w i t h P a u l O F T H E Ordinary Men and Women... Super Ordinary Power
|
|
|
- Theodora Kelley
- 5 years ago
- Views:
Transcription
1 H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 43 S l a s T r a v l s w t h P a u l H r o s o f t h F a t h C u r r c u l u m No part of ths currculum may b rpublshd wthout prmsson. Plas fl fr to copy for classroom us.
2 43 S l a s T r a v l s w t h P a u l Mmory Vrs: I can do all thngs through Chrst who strngthns m. (Phlppans 4:13 NKJV) Lsson Goals: #1 - Undrstand how ordnary Slas was #2 - Dscovr what obdnc ld Slas to do #3 - Dsr to lt God do xtraordnary thngs n th lf of th ordnary studnt Audnc: Young, un-churchd larnrs Adaptabl for all ags, ncludng adults (S For mor tranng on Actvts pag) Scrptur to Study: Acts 15:22-16:40 1 Ptr 5:12 Sl as Travl s W th Paul / pag 2
3 43 S l a s T r a v l s w t h P a u l Acts 15:22-16:40 Who can tll m what a hro s? A hro s somon who s couragous and brav and compassonat. Thr ar hros and hrons n th Bbl. All of thm ar brav and couragous and mor, but not n th way you would xpct. Our hro: Slas Hs Hroc Fat: Strngthns Blvrs Strngthnng blvrs may not sound vry hroc, but lt s look at th facts and s what you thnk whn you hav hard th whol story W hav bn talkng latly about Paul and Barnabas. W talkd about th journy thy took and th churchs thy startd. Wll, aftr that frst journy, thy rturnd to Antoch. Th church n Jrusalm snt two mn to Paul and Barnabas, and th church at Antoch, wth a mssag. Th mn wr prophts (mssngrs) and thy had gvn thr lvs to srv th Lord. Thy wr Judas Barsabbas and Slas. Whn thy arrvd thy sad many thngs to ncourag th blvrs and mak thm strongr. (Acts 15:32 NCV) Aftr som tm th mn wr snt back to Jrusalm by th blvrs n Antoch. Judas rturnd to Jrusalm, but Slas dcdd to stay. Aftr som tm, Paul and Barnabas dcdd to go back to th placs thy had vstd on thr frst journy, but thy dsagrd about who to tak and dcdd to sparat and mak two dffrnt journys. Barnabas wnt to Cyprus wth hs cousn, John Mark. Paul took Slas. At tms Dr. Luk travld wth thm, too. Paul and Slas wnt through Syra and Clca, gvng strngth to th churchs. (Acts 15:40 NCV) Paul, Slas, and thr companons travld from town to town. On of th placs thy vstd was Phlpp, a Roman colony and th ladng cty n tat part of Macdona. (Acts 16:12 NCV) Thy stayd thr for svral days. On th Sabbath day, whn thy wr lookng nar th rvr for a qut plac to pray, thy found a succssful busnss woman namd Lyda. Sh worshppd God, but as Paul and Slas shard th Good Nws wth hr, sh blvd and sh and hr famly wr baptzd. On anothr occason whn Paul and Slas wr gong to a plac for prayr, a srvant grl mt thm. Sh told fortuns and hr ownrs mad a lot of mony from hr. Paul, by th powr of Jsus, frd th srvant grl from th sprt that was n hr and mad hr ownrs vry angry. Thy strrd up th crowd who attackd Paul and Slas. Th Roman offcrs had Paul and Slas batn and thn thrw thm nto jal. Th jalr was ordrd to guard thm vry carfully, so h put thm far nsd th jal and pnnd thr ft down btwn larg blocks of wood. (Acts 16:24 NCV) Sl as Travl s W th Paul / pag 3
4 At mdnght n th jal, you mght xpct to har crs for hlp or moanng and cursng, but somthng amazng was happnng n ths Phlppan jal - Paul and Slas wr prayng and sngng songs to God as th othr prsonrs lstnd. (Acts 16:25 NCV) And thn thr was an arthquak that shook th jal. All of th doors wr opnd and th prsonrs chans wr vn loosnd and fll off Th poor jalr wok up and saw th doors opnd and thought that surly th prsonrs must hav scapd. Th Romans would want hs lf for allowng so many prsonrs to gt away, so th jalr drw hs sword and was about to kll hmslf nstad. (Acts 16:27 NCV) Paul, who hard th sword as t was drawn, shoutd to th jalr and sad, Don t hurt yourslf W ar all hr. (Acts 16:28 NCV) Th jalr grabbd a lght, ran n, and fll down on hs fac n front of Paul and Slas. Thn h askd thm, What do I hav to do to b savd? Paul and Slas answrd hm, Blv n th Lord Jsus and you wll b savd you and all th popl n your hous. (Acts 16:31 NCV) Th jalr took Paul and Slas to hs hous. Thy shard th mssag of th Lord thr. Thy all blvd Th jalr cland Paul and Slas wounds and thn thy baptzd th jalr and hs famly mmdatly Paul and Slas strngthnd th churchs. Thy also brought popl to th Lord, lk ths jalr, and thy strngthnd ndvdual blvrs, too. How can you b strngthnd as you walk wth th Lord? Our mmory vrs says, I can do all thngs through Chrst who strngthns m. (Phlppans 4:13 NKJV) If you hav chosn to follow th Lord, you hav n you somon who strngthns you vry momnt of vry day. In turn, who can you strngthn and ncourag to walk wth God? N x t W k Y O U c a n b a h r o, t o o Aqula and Prsclla Whn you lv a lf of fath n Jsus Chrst, you don t hav to lap tall buldngs to b a hro. Slas strngthnd blvrs. Slas also shard th Good Nws of God s lov wth thos who ddn t know t yt. Do you know that God lovs you? Do you know that H lovs you so much that H snt Hs on and only Son to tak th punshmnt you dsrv? Mayb you ar wondrng lk th jalr dd, What must I do to b savd? How dd Paul and Slas rspond? Blv n th Lord Jsus and you wll b savd... Hav you don that? What s stoppng you? Sl as Travl s W th Paul / pag 4
5 p r - s c h o o l l s s o n Who can tll m what a hro s? A hro s somon who s couragous and brav and compassonat. Thr ar hros and hrons n th Bbl. All of thm ar brav and couragous and mor, but not n th way you would xpct. Our hro: Slas Hs Hroc Fat: Strngthns Blvrs Strngthnng blvrs may not sound vry hroc, but lt s look at th facts and s what you thnk whn you hav hard th whol story Aftr Paul and Barnabas mad thr frst journy to vst blvrs and start churchs, Paul took anothr trp to rvst many of thos placs. Paul took a man namd Slas wth hm. Thy travld from town to town. Thy vn vstd th cty of Phlpp and stayd thr for svral days. Whl thy wr thr, Paul and Slas hlpd a srvant grl. Thy hlpd hr, but ths mad othr popl vry mad. Thy strrd up th crowd and th crowd attackd Paul and Slas. Roman offcrs had Paul and Slas batn and thn thrw thm nto jal. Th jalr was ordrd to guard thm vry carfully, so h put thm far nsd th jal and pnnd thr ft down btwn larg blocks of wood. (Acts 16:24 NCV) At mdnght n th jal, you mght xpct to har crs for hlp, but somthng amazng was happnng n ths Phlppan jal - Paul and Slas wr prayng and sngng songs to God as th othr prsonrs lstnd. (Acts 16:25 NCV) And thn thr was an arthquak that shook th jal. All of th doors wr opnd and th prsonrs chans wr vn loosnd and fll off Th poor jalr wok up and saw th doors opnd and thought that surly th prsonrs must hav scapd. Th Romans would want hs lf for allowng so many prsonrs to gt away. Paul shoutd to th jalr and sad, W ar all hr. (Acts 16:28 NCV) Th jalr grabbd a lght, ran n, and fll down on hs fac n front of Paul and Slas. Thn h askd thm, What do I hav to do to b savd? Paul and Slas answrd hm, Blv n th Lord Jsus and you wll b savd you and all th popl n your hous. (Acts 16:31 NCV) Th jalr took Paul and Slas to hs hous. Thy shard th mssag of th Lord thr. Thy all blvd Th jalr cland Paul and Slas wounds and thn thy baptzd th jalr and hs famly mmdatly Sl as Travl s W th Paul / pag 5
6 a c t v t s Mmory Vrs Actvty - Wrt ach word of th mmory vrs on sparat strps of papr. B sur to nclud th rfrnc. Scrambl th strps of papr and practc ordrng th vrs. Whn your studnts hav larnd th vrs, form a papr chan of th mmory vrs as a rmndr of Slas and th Phlppan jalr. Contnu addng hros nams and hroc fats to your Hros Bannr. Sng th My God s So Bg, Mghty to Sav, Pras Hm, Pras Hm, I Lov You Lord or othr pras songs rlatd to th lsson. Sng or chant th mmory vrs (Phlppans 4:13). R-nact th lsson. Allow your studnts to choos whch pras songs thy want to sng whl n jal. For mor tranng: Rad and dscuss Acts 16: Prsnt th plan of salvaton. For mor tranng: Aftr Phlpp, Paul and Slas contnud thr journy. Rad and dscuss Acts 17: Talk about what t mans to b a Bran. For mor tranng: If tm prmts, rad passags from th book of Phlppans. Dscuss that ths lttr was wrttn aftr Paul and Slas journy thr, so who would hav bn part of th church? (Lyda, th jalr and hs famly) Sl as Travl s W th Paul / pag 6
7 I can do all thngs through Chrst who strngthns m. Phlppans 4:13 Sl as Travl s W th Paul / pag 7
8 H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr H r o n T r a n n g S l as Trav ls W th Paul H r o s o f t h F a t h C u r r c u l u m No part of ths currculum may b rpublshd wthout prmsson. Plas fl fr to copy for classroom us.
9 h r o t r a n n g Scrptur: Acts 15:22-16:40 Mmory vrs: I can do all thngs through Chrst who strngthns m. (Phlppans 4:13 NKJV) Our Hro: What dd our hro do that was so hroc? What can you do to b a Hro of th Fath? HS What powr do Hros of th Fath possss? Do you hav th powr? Rvw our lsson and th mmory vrs. What knd of thngs hav you bn afrad to do, that you can trust God to do through you? Sl as Travl s W th Paul / pag 9
10 h d d n m s s a g Can you crack th cod to fnd th Hddn Mssag? Fnsh th mmory vrs by fllng n th frst lttr of th pctur shown. I c a n d o t h r o u g h w h o m. P h l p p a n s 4 : 1 3 Sl as Travl s W th Paul / pag 10
11 w o r d s a r c h S N L D J A T S O M F H B N E N C O U R A G E O T S O H E S T G C U T E R E T L T P T H F O L L Y D H D D G J R E O L O T M E T E O N A E R L E G D A V I S T S I N G A N D P R A Y H S R L G D O T A H N S L B T T F T E P H E I I E N S E S A H E V E I L E B N F P B I E P L S C I E A D L H Y E N R U O J P N N E K P L E H T A H T P D R O W N H D W S P C S I L A S N B S W O R S H C R U B C G - Paul - Slas - strngthn - journy - Phlpp - jal - sng and pray - blv - b savd Sl as Travl s W th Paul / pag 11
12 h Answr Pag d d n m s s a g Can you crack th cod to fnd th Hddn Mssag? Fnsh th mmory vrs by fllng n th frst lttr of th pctur shown. I c a n d o a l l t h n g s t h r o u g h C h r s t w h o s t r n g t h n s m. P h l p p a n s 4 : 1 3 Sl as Travl s W th Paul / pag 12
13 w o r Answr Pag d s a r c h S N L D J A T S O M F H B N E N C O U R A G E O T S O H E S T G C U T E R E T L T P T H F O L L Y D H D D G J R E O L O T M E T E O N A E R L E G D A V I S T S I N G A N D P R A Y H S R L G D O T A H N S L B T T F T E P H E I I E N S E S A H E V E I L E B N F P B I E P L S C I E A D L H Y E N R U O J P N N E K P L E H T A H T P D R O W N H D W S P C S I L A S N B S W O R S H C R U B C G - Paul - Slas - strngthn - journy - Phlpp - jal - sng and pray - blv - b savd Sl as Travl s W th Paul / pag 13
r o f a O F T H E Ordinary Men and Women... Super Ordinary Power H e r o e s o f t h e F a i t h C u r r i c u l u m
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 36 T h C n t u r o n s G r a t F a t h H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum
r o f a O F T H E P h i l i p - a f a i t h f u l w i t n e s s Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 46 P h l p - a f a t h f u l w t n s s H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum
r o f a 11 J o s h u a S e r v e s t h e L o r d O F T H E Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 11 J o s h u a S r v s t h L o r d H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may
r o f a 24 T h e E i g h t Y e a r O l d K I n g O F T H E Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 24 T h E g h t Y a r O l d K I n g H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may
r o f a O F T H E G i d e o n W i n s B a t t l e W i t h O n l y M e n Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 14 G d o n W n s B a t t l W t h O n l y 3 0 0 M n H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of
r o f a 13 D e b o r a h L e a d s I s r a e l O F T H E Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 13 D b o r a h L a d s I s r a l H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may
r o f a O F T H E T i m o t h y - A n E x a m p l e f o r B e l i e v e r s Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 47 T m o t h y - A n E x a m p l f o r B l v r s H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths
r o f a O F T H E C a l e b E x p l o r e s t h e P r o m i s e d L a n d Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 10 C a l b E x p l o r s t h P r o m s d L a n d H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths
r o f a O F T H E E s t h e r R i s k s H e r L i f e t o S a v e H e r P e o p l e Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 28 E s t h r R s k s H r L f t o S a v H r P o p l H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of
r o f a 15 J e s u s D e f e a t s D e a t h O F T H E Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 15 J s u s D f a t s D a t h H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may b rpublshd
r o f a O F T H E J e s u s - R e t u r n i n g K i n g Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 48 J s u s - R t u r n n g K n g H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may
r o f a O F T H E J o h n... S o n o f T h u n d e r! Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 35 J o h n... S o n o f T h u n d r H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may
r o f a O F T H E N e h e m i a h F e a r l e s s i n H i s e f f o r t s t o R e b u i l d W a l l o f J e r u s a l e m
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 29 N h m a h F a r l s s n H s f f o r t s t o R b u l d W a l l o f J r u s a l m H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org
r o f a O F T H E Y e a r O l d A b r a h a m H a s a S o n Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 5 1 0 0 Y a r O l d A b r a h a m H a s a S o n H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths
r o f a 7 J o s e p h S a v e s E g y p t O F T H E Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 7 J o s p h S a v s E g y p t H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may b rpublshd
r o f a O F T H E S a m s o n : A T r a g i c S t o r y Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 16 S a m s o n : A T r a g c S t o r y H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum
r o f a 23 H e z e k i a h : L o y a l t o G o d O F T H E Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 23 H z k a h : L o y a l t o G o d H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may
r o f a O F T H E N o a h b u i l d s b o a t o n d r y l a n d Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 3 N o a h b u l d s b o a t o n d r y l a n d H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum
r o f a O F T H E M o r d e c a i H a l t s P l o t A g a i n s t t h e K i n g Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 27 M o r d c a H a l t s P l o t A g a n s t t h K n g H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part
Lucas Test is based on Euler s theorem which states that if n is any integer and a is coprime to n, then a φ(n) 1modn.
Modul 10 Addtonal Topcs 10.1 Lctur 1 Prambl: Dtrmnng whthr a gvn ntgr s prm or compost s known as prmalty tstng. Thr ar prmalty tsts whch mrly tll us whthr a gvn ntgr s prm or not, wthout gvng us th factors
Learning All About. Mary. Creative. Communications. Sample
Larnng All Abu Mary Hal Mary... Yu v prbably hard hs wrds a l. Mayb yu say hs prayr. Bu hav yu vr wndrd why w say? Wha abu all h sngs, saus and fas days ddcad Mary? Why d w hnr Mary s much? Frs, hnk abu
Summer Reading Activities!
HOOT FLUSH SCAT CHOMP From Bstslling Author Summr Rading Activitis! Flush Word Find Can you find all 14 words in th puzzl blow? S W I M E N J L P H S P A R R D A Z A G A Z E I B H O T L V S C N U D H I
Want to go a-courtin but not allowed to dance? Well then, try this once popular party game as a way to get to know each other.
fiddl, piano party gam, circl danc Want to go a-courtin but not allowd to danc? Wll thn, try this onc popular party gam as a way to gt to know ach othr. Ky G, first not do(g) Squar/Circl Danc d d d d d
ph People Grade Level: basic Duration: minutes Setting: classroom or field site
ph Popl Adaptd from: Whr Ar th Frogs? in Projct WET: Curriculum & Activity Guid. Bozman: Th Watrcours and th Council for Environmntal Education, 1995. ph Grad Lvl: basic Duration: 10 15 minuts Stting:
SCIENCE Student Book. 3rd Grade Unit 2
SCIENCE Studnt Book 3rd Grad Unit 2 Unit 2 PLANTS SCIENCE 302 PLANTS Introduction 3 1. Plant Parts...4 Roots 6 Stms 8 Lavs 10 Food Storag Parts 11 Slf Tst 1 15 2. Plant Growth... 17 Watr and Minrals 18
3 2x. 3x 2. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB
Math B Intgration Rviw (Solutions) Do ths intgrals. Solutions ar postd at th wbsit blow. If you hav troubl with thm, sk hlp immdiatly! () 8 d () 5 d () d () sin d (5) d (6) cos d (7) d www.clas.ucsb.du/staff/vinc
u x v x dx u x v x v x u x dx d u x v x u x v x dx u x v x dx Integration by Parts Formula
7. Intgration by Parts Each drivativ formula givs ris to a corrsponding intgral formula, as w v sn many tims. Th drivativ product rul yilds a vry usful intgration tchniqu calld intgration by parts. Starting
Heisenberg Model. Sayed Mohammad Mahdi Sadrnezhaad. Supervisor: Prof. Abdollah Langari
snbrg Modl Sad Mohammad Mahd Sadrnhaad Survsor: Prof. bdollah Langar bstract: n ths rsarch w tr to calculat analtcall gnvalus and gnvctors of fnt chan wth ½-sn artcls snbrg modl. W drov gnfuctons for closd
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
MEMORIAL UNIVERSITY OF NEWFOUNDLAND DEPARTMENT OF MATHEMATICS AND STATISTICS Midtrm Examination Statistics 2500 001 Wintr 2003 Nam: Studnt No: St by Dr. H. Wang OFFICE USE ONLY Mark: Instructions: 1. Plas
u r du = ur+1 r + 1 du = ln u + C u sin u du = cos u + C cos u du = sin u + C sec u tan u du = sec u + C e u du = e u + C
Tchniqus of Intgration c Donald Kridr and Dwight Lahr In this sction w ar going to introduc th first approachs to valuating an indfinit intgral whos intgrand dos not hav an immdiat antidrivativ. W bgin
Higher order derivatives
Robrto s Nots on Diffrntial Calculus Chaptr 4: Basic diffrntiation ruls Sction 7 Highr ordr drivativs What you nd to know alrady: Basic diffrntiation ruls. What you can larn hr: How to rpat th procss of
Electrochemistry L E O
Rmmbr from CHM151 A rdox raction in on in which lctrons ar transfrrd lctrochmistry L O Rduction os lctrons xidation G R ain lctrons duction W can dtrmin which lmnt is oxidizd or rducd by assigning oxidation
In the table below, write the coordinates of each point in the figure. Point x-coordinate y-coordinate A 0 3 B 3 3 C 3 5 D 3 8 E 5 5 F 6 3 G 3 1
1 TASK 1.1.1: PATTY PAPER TRANSFORMATIONS Solutions 10 D C E A B F G -5 5 10 - - In th tabl blow, writ th s of ach pot th figur. x- y- A 0 3 B 3 3 C 3 5 D 3 E 5 5 F 3 G 3 1 1. On patty papr, trac th figur
COHORT MBA. Exponential function. MATH review (part2) by Lucian Mitroiu. The LOG and EXP functions. Properties: e e. lim.
MTH rviw part b Lucian Mitroiu Th LOG and EXP functions Th ponntial function p : R, dfind as Proprtis: lim > lim p Eponntial function Y 8 6 - -8-6 - - X Th natural logarithm function ln in US- log: function
(1) Then we could wave our hands over this and it would become:
MAT* K285 Spring 28 Anthony Bnoit 4/17/28 Wk 12: Laplac Tranform Rading: Kohlr & Johnon, Chaptr 5 to p. 35 HW: 5.1: 3, 7, 1*, 19 5.2: 1, 5*, 13*, 19, 45* 5.3: 1, 11*, 19 * Pla writ-up th problm natly and
Lecture 14. Relic neutrinos Temperature at neutrino decoupling and today Effective degeneracy factor Neutrino mass limits Saha equation
Lctur Rlc nutrnos mpratur at nutrno dcoupln and today Effctv dnracy factor Nutrno mass lmts Saha quaton Physcal Cosmoloy Lnt 005 Rlc Nutrnos Nutrnos ar wakly ntractn partcls (lptons),,,,,,, typcal ractons
I Will Pass Over You [===========================[
I Will Pass Ovr You F G 7 4 x x h x x h 1 hrist our r-dm-r did on th cross; did for th sin-nr, paid all his du 2 hif st of sin nrs Y-shu a will sav; all has prom-isd, that will do 3 O grat com-pas-sion,
MA 262, Spring 2018, Final exam Version 01 (Green)
MA 262, Spring 218, Final xam Vrsion 1 (Grn) INSTRUCTIONS 1. Switch off your phon upon ntring th xam room. 2. Do not opn th xam booklt until you ar instructd to do so. 3. Bfor you opn th booklt, fill in
Partial Derivatives: Suppose that z = f(x, y) is a function of two variables.
Chaptr Functions o Two Variabls Applid Calculus 61 Sction : Calculus o Functions o Two Variabls Now that ou hav som amiliarit with unctions o two variabls it s tim to start appling calculus to hlp us solv
First derivative analysis
Robrto s Nots on Dirntial Calculus Chaptr 8: Graphical analysis Sction First drivativ analysis What you nd to know alrady: How to us drivativs to idntiy th critical valus o a unction and its trm points
EEO 401 Digital Signal Processing Prof. Mark Fowler
EEO 401 Digital Signal Procssing Prof. Mark Fowlr Dtails of th ot St #19 Rading Assignmnt: Sct. 7.1.2, 7.1.3, & 7.2 of Proakis & Manolakis Dfinition of th So Givn signal data points x[n] for n = 0,, -1
Mor Tutorial at www.dumblittldoctor.com Work th problms without a calculator, but us a calculator to chck rsults. And try diffrntiating your answrs in part III as a usful chck. I. Applications of Intgration
Review - Probabilistic Classification
Mmoral Unvrsty of wfoundland Pattrn Rcognton Lctur 8 May 5, 6 http://www.ngr.mun.ca/~charlsr Offc Hours: Tusdays Thursdays 8:3-9:3 PM E- (untl furthr notc) Gvn lablld sampls { ɛc,,,..., } {. Estmat Rvw
Add sodium hydroxide solution
, :::.l9 &30 ~!fjrkh:+l. ~ S/::T..:=4... A studnt has four solutons lablld A, B, C and D. Each soluton contans on compound from th followng lst: FCh Th studnt dos som smpl tsts to dntfy th compounds prsnt.
CHAPTER 33: PARTICLE PHYSICS
Collg Physcs Studnt s Manual Chaptr 33 CHAPTER 33: PARTICLE PHYSICS 33. THE FOUR BASIC FORCES 4. (a) Fnd th rato of th strngths of th wak and lctromagntc forcs undr ordnary crcumstancs. (b) What dos that
Section 6.1. Question: 2. Let H be a subgroup of a group G. Then H operates on G by left multiplication. Describe the orbits for this operation.
MAT 444 H Barclo Spring 004 Homwork 6 Solutions Sction 6 Lt H b a subgroup of a group G Thn H oprats on G by lft multiplication Dscrib th orbits for this opration Th orbits of G ar th right costs of H
GEOMETRICAL PHENOMENA IN THE PHYSICS OF SUBATOMIC PARTICLES. Eduard N. Klenov* Rostov-on-Don, Russia
GEOMETRICAL PHENOMENA IN THE PHYSICS OF SUBATOMIC PARTICLES Eduard N. Klnov* Rostov-on-Don, Russia Th articl considrs phnomnal gomtry figurs bing th carrirs of valu spctra for th pairs of th rmaining additiv
Derangements and Applications
2 3 47 6 23 Journal of Intgr Squncs, Vol. 6 (2003), Articl 03..2 Drangmnts and Applications Mhdi Hassani Dpartmnt of Mathmatics Institut for Advancd Studis in Basic Scincs Zanjan, Iran mhassani@iasbs.ac.ir
Lecture 37 (Schrödinger Equation) Physics Spring 2018 Douglas Fields
Lctur 37 (Schrödingr Equation) Physics 6-01 Spring 018 Douglas Filds Rducd Mass OK, so th Bohr modl of th atom givs nrgy lvls: E n 1 k m n 4 But, this has on problm it was dvlopd assuming th acclration
The Hyperelastic material is examined in this section.
4. Hyprlastcty h Hyprlastc matral s xad n ths scton. 4..1 Consttutv Equatons h rat of chang of ntrnal nrgy W pr unt rfrnc volum s gvn by th strss powr, whch can b xprssd n a numbr of dffrnt ways (s 3.7.6):
Shortest Paths in Graphs. Paths in graphs. Shortest paths CS 445. Alon Efrat Slides courtesy of Erik Demaine and Carola Wenk
S 445 Shortst Paths n Graphs lon frat Sls courtsy of rk man an arola Wnk Paths n raphs onsr a raph G = (V, ) wth -wht functon w : R. Th wht of path p = v v v k s fn to xampl: k = w ( p) = w( v, v + ).
Thomas Whitham Sixth Form
Thomas Whitham Sith Form Pur Mathmatics Unit C Algbra Trigonomtr Gomtr Calculus Vctor gomtr Pag Algbra Molus functions graphs, quations an inqualitis Graph of f () Draw f () an rflct an part of th curv
Einstein Equations for Tetrad Fields
Apiron, Vol 13, No, Octobr 006 6 Einstin Equations for Ttrad Filds Ali Rıza ŞAHİN, R T L Istanbul (Turky) Evry mtric tnsor can b xprssd by th innr product of ttrad filds W prov that Einstin quations for
cycle that does not cross any edges (including its own), then it has at least
W prov th following thorm: Thorm If a K n is drawn in th plan in such a way that it has a hamiltonian cycl that dos not cross any dgs (including its own, thn it has at last n ( 4 48 π + O(n crossings Th
LECTURE 6 TRANSFORMATION OF RANDOM VARIABLES
LECTURE 6 TRANSFORMATION OF RANDOM VARIABLES TRANSFORMATION OF FUNCTION OF A RANDOM VARIABLE UNIVARIATE TRANSFORMATIONS TRANSFORMATION OF RANDOM VARIABLES If s a rv wth cdf F th Y=g s also a rv. If w wrt
y = 2xe x + x 2 e x at (0, 3). solution: Since y is implicitly related to x we have to use implicit differentiation: 3 6y = 0 y = 1 2 x ln(b) ln(b)
4. y = y = + 5. Find th quation of th tangnt lin for th function y = ( + ) 3 whn = 0. solution: First not that whn = 0, y = (1 + 1) 3 = 8, so th lin gos through (0, 8) and thrfor its y-intrcpt is 8. y
Differential Equations
Prfac Hr ar m onlin nots for m diffrntial quations cours that I tach hr at Lamar Univrsit. Dspit th fact that ths ar m class nots, th should b accssibl to anon wanting to larn how to solv diffrntial quations
Fourier Transforms and the Wave Equation. Key Mathematics: More Fourier transform theory, especially as applied to solving the wave equation.
Lur 7 Fourir Transforms and th Wav Euation Ovrviw and Motivation: W first discuss a fw faturs of th Fourir transform (FT), and thn w solv th initial-valu problm for th wav uation using th Fourir transform
Math 34A. Final Review
Math A Final Rviw 1) Us th graph of y10 to find approimat valus: a) 50 0. b) y (0.65) solution for part a) first writ an quation: 50 0. now tak th logarithm of both sids: log() log(50 0. ) pand th right
ECE602 Exam 1 April 5, You must show ALL of your work for full credit.
ECE62 Exam April 5, 27 Nam: Solution Scor: / This xam is closd-book. You must show ALL of your work for full crdit. Plas rad th qustions carfully. Plas chck your answrs carfully. Calculators may NOT b
Lesson Plan. NOTE: Be sure to allow sufficient time for a snack.
Bud th Ark Lsson Objctvs Th chdrn w nam as th man who but th ark. Th chdrn w match anma pars. Th chdrn w sng a song about obyng God. Bb Story Txt Gnss 6-8:19 Bb Truth W oby God. (Dutronomy 27:10) Lsson
The van der Waals interaction 1 D. E. Soper 2 University of Oregon 20 April 2012
Th van dr Waals intraction D. E. Sopr 2 Univrsity of Orgon 20 pril 202 Th van dr Waals intraction is discussd in Chaptr 5 of J. J. Sakurai, Modrn Quantum Mchanics. Hr I tak a look at it in a littl mor
Pair (and Triplet) Production Effect:
Pair (and riplt Production Effct: In both Pair and riplt production, a positron (anti-lctron and an lctron (or ngatron ar producd spontanously as a photon intracts with a strong lctric fild from ithr a
EECE 301 Signals & Systems Prof. Mark Fowler
EECE 301 Signals & Systms Prof. Mark Fowlr ot St #21 D-T Signals: Rlation btwn DFT, DTFT, & CTFT 1/16 W can us th DFT to implmnt numrical FT procssing This nabls us to numrically analyz a signal to find
A Propagating Wave Packet Group Velocity Dispersion
Lctur 8 Phys 375 A Propagating Wav Packt Group Vlocity Disprsion Ovrviw and Motivation: In th last lctur w lookd at a localizd solution t) to th 1D fr-particl Schrödingr quation (SE) that corrsponds to
A. Limits and Horizontal Asymptotes ( ) f x f x. f x. x "±# ( ).
A. Limits and Horizontal Asymptots What you ar finding: You can b askd to find lim x "a H.A.) problm is asking you find lim x "# and lim x "$#. or lim x "±#. Typically, a horizontal asymptot algbraically,
Alpha and beta decay equation practice
Alpha and bta dcay quation practic Introduction Alpha and bta particls may b rprsntd in quations in svral diffrnt ways. Diffrnt xam boards hav thir own prfrnc. For xampl: Alpha Bta α β alpha bta Dspit
Give the letter that represents an atom (6) (b) Atoms of A and D combine to form a compound containing covalent bonds.
1 Th diagram shows th lctronic configurations of six diffrnt atoms. A B C D E F (a) You may us th Priodic Tabl on pag 2 to hlp you answr this qustion. Answr ach part by writing on of th lttrs A, B, C,
September 23, Honors Chem Atomic structure.notebook. Atomic Structure
Atomic Structur Topics covrd Atomic structur Subatomic particls Atomic numbr Mass numbr Charg Cations Anions Isotops Avrag atomic mass Practic qustions atomic structur Sp 27 8:16 PM 1 Powr Standards/ Larning
ME 200 Thermodynamics I Spring 2014 Examination 3 Thu 4/10/14 6:30 7:30 PM WTHR 200, CL50 224, PHY 112 LAST NAME FIRST NAME
M 00 hrodynac Sprng 014 xanaton 3 hu 4/10/14 6:30 7:30 PM WHR 00, CL50 4, PHY 11 Crcl your dvon: PHY 11 WHR 00 WHR 00 CL50 4 CL50 4 PHY 11 7:30 Joglkar 9:30 Wagrn 10:30 Gor 1:30 Chn :30 Woodland 4:30 Srcar
Preview. Graph. Graph. Graph. Graph Representation. Graph Representation 12/3/2018. Graph Graph Representation Graph Search Algorithms
/3/0 Prvw Grph Grph Rprsntton Grph Srch Algorthms Brdth Frst Srch Corrctnss of BFS Dpth Frst Srch Mnmum Spnnng Tr Kruskl s lgorthm Grph Drctd grph (or dgrph) G = (V, E) V: St of vrt (nod) E: St of dgs
First looking at the scalar potential term, suppose that the displacement is given by u = φ. If one can find a scalar φ such that u = φ. u x.
7.4 Eastodynams 7.4. Propagaton of Wavs n East Sods Whn a strss wav travs throgh a matra, t ass matra parts to dspa by. It an b shown that any vtor an b wrttn n th form φ + ra (7.4. whr φ s a saar potnta
Thomas Whitham Sixth Form
Thomas Whitham Sith Form Pur Mathmatics Cor rvision gui Pag Algbra Moulus functions graphs, quations an inqualitis Graph of f () Draw f () an rflct an part of th curv blow th ais in th ais. f () f () f
SUMMER 17 EXAMINATION
(ISO/IEC - 7-5 Crtifid) SUMMER 7 EXAMINATION Modl wr jct Cod: Important Instructions to aminrs: ) Th answrs should b amind by ky words and not as word-to-word as givn in th modl answr schm. ) Th modl answr
Consider a system of 2 simultaneous first order linear equations
Soluon of sysms of frs ordr lnar quaons onsdr a sysm of smulanous frs ordr lnar quaons a b c d I has h alrna mar-vcor rprsnaon a b c d Or, n shorhand A, f A s alrady known from con W know ha h abov sysm
1 Minimum Cut Problem
CS 6 Lctur 6 Min Cut and argr s Algorithm Scribs: Png Hui How (05), Virginia Dat: May 4, 06 Minimum Cut Problm Today, w introduc th minimum cut problm. This problm has many motivations, on of which coms
are given in the table below. t (hours)
CALCULUS WORKSHEET ON INTEGRATION WITH DATA Work th following on notbook papr. Giv dcimal answrs corrct to thr dcimal placs.. A tank contains gallons of oil at tim t = hours. Oil is bing pumpd into th
Junction Tree Algorithm 1. David Barber
Juntion Tr Algorithm 1 David Barbr Univrsity Collg London 1 Ths slids aompany th book Baysian Rasoning and Mahin Larning. Th book and dmos an b downloadd from www.s.ul.a.uk/staff/d.barbr/brml. Fdbak and
Source code. where each α ij is a terminal or nonterminal symbol. We say that. α 1 α m 1 Bα m+1 α n α 1 α m 1 β 1 β p α m+1 α n
Adminitrivia Lctur : Paring If you do not hav a group, pla pot a rqut on Piazzza ( th Form projct tam... itm. B ur to updat your pot if you find on. W will aign orphan to group randomly in a fw day. Programming
Basic Logic Review. Rules. Lecture Roadmap Combinational Logic. Textbook References. Basic Logic Gates (2-input versions)
Lctur Roadmap ombinational Logic EE 55 Digital Systm Dsign with VHDL Lctur Digital Logic Rrshr Part ombinational Logic Building Blocks Basic Logic Rviw Basic Gats D Morgan s Law ombinational Logic Building
Calculus concepts derivatives
All rasonabl fforts hav bn mad to mak sur th nots ar accurat. Th author cannot b hld rsponsibl for any damags arising from th us of ths nots in any fashion. Calculus concpts drivativs Concpts involving
Discrete Shells Simulation
Dscrt Shlls Smulaton Xaofng M hs proct s an mplmntaton of Grnspun s dscrt shlls, th modl of whch s govrnd by nonlnar mmbran and flxural nrgs. hs nrgs masur dffrncs btwns th undformd confguraton and th
Y 0. Standing Wave Interference between the incident & reflected waves Standing wave. A string with one end fixed on a wall
Staning Wav Intrfrnc btwn th incint & rflct wavs Staning wav A string with on n fix on a wall Incint: y, t) Y cos( t ) 1( Y 1 ( ) Y (St th incint wav s phas to b, i.., Y + ral & positiv.) Rflct: y, t)
Lecture 4: Parsing. Administrivia
Adminitrivia Lctur 4: Paring If you do not hav a group, pla pot a rqut on Piazzza ( th Form projct tam... itm. B ur to updat your pot if you find on. W will aign orphan to group randomly in a fw day. Programming
a 1and x is any real number.
Calcls Nots Eponnts an Logarithms Eponntial Fnction: Has th form y a, whr a 0, a an is any ral nmbr. Graph y, Graph y ln y y Th Natral Bas (Elr s nmbr): An irrational nmbr, symboliz by th lttr, appars
Classical Magnetic Dipole
Lctur 18 1 Classical Magntic Dipol In gnral, a particl of mass m and charg q (not ncssarily a point charg), w hav q g L m whr g is calld th gyromagntic ratio, which accounts for th ffcts of non-point charg
That is, we start with a general matrix: And end with a simpler matrix:
DIAGON ALIZATION OF THE STR ESS TEN SOR INTRO DUCTIO N By th us of Cauchy s thorm w ar abl to rduc th numbr of strss componnts in th strss tnsor to only nin valus. An additional simplification of th strss
Answer Homework 5 PHA5127 Fall 1999 Jeff Stark
Answr omwork 5 PA527 Fall 999 Jff Stark A patint is bing tratd with Drug X in a clinical stting. Upon admiion, an IV bolus dos of 000mg was givn which yildd an initial concntration of 5.56 µg/ml. A fw
The following information relates to Questions 1 to 4:
Th following information rlats to Qustions 1 to 4: QUESTIN 1 Th lctrolyt usd in this ful cll is D watr carbonat ions hydrogn ions hydroxid ions QUESTIN 2 Th product formd in th ful cll is D hydrogn gas
SAMPLE LITANY OF THE SAINTS E/G. Dadd9/F. Aadd9. cy. Christ, have. Lord, have mer cy. Christ, have A/E. Dadd9. Aadd9/C Bm E. 1. Ma ry and. mer cy.
LTNY OF TH SNTS Cntrs Gnt flwng ( = c. 100) /G Ddd9/F ll Kybrd / hv Ddd9 hv hv Txt 1973, CL. ll rghts rsrvd. Usd wth prmssn. Musc: D. Bckr, b. 1953, 1987, D. Bckr. Publshd by OCP. ll rghts rsrvd. SMPL
Basic Polyhedral theory
Basic Polyhdral thory Th st P = { A b} is calld a polyhdron. Lmma 1. Eithr th systm A = b, b 0, 0 has a solution or thr is a vctorπ such that π A 0, πb < 0 Thr cass, if solution in top row dos not ist
A central nucleus. Protons have a positive charge Electrons have a negative charge
Atomic Structur Lss than ninty yars ago scintists blivd that atoms wr tiny solid sphrs lik minut snookr balls. Sinc thn it has bn discovrd that atoms ar not compltly solid but hav innr and outr parts.
Hydrogen Atom and One Electron Ions
Hydrogn Atom and On Elctron Ions Th Schrödingr quation for this two-body problm starts out th sam as th gnral two-body Schrödingr quation. First w sparat out th motion of th cntr of mass. Th intrnal potntial
Problem Set 6 Solutions
6.04/18.06J Mathmatics for Computr Scinc March 15, 005 Srini Dvadas and Eric Lhman Problm St 6 Solutions Du: Monday, March 8 at 9 PM in Room 3-044 Problm 1. Sammy th Shark is a financial srvic providr
4. Money cannot be neutral in the short-run the neutrality of money is exclusively a medium run phenomenon.
PART I TRUE/FALSE/UNCERTAIN (5 points ach) 1. Lik xpansionary montary policy, xpansionary fiscal policy rturns output in th mdium run to its natural lvl, and incrass prics. Thrfor, fiscal policy is also
Addition of angular momentum
Addition of angular momntum April, 07 Oftn w nd to combin diffrnt sourcs of angular momntum to charactriz th total angular momntum of a systm, or to divid th total angular momntum into parts to valuat
Random Access Techniques: ALOHA (cont.)
Random Accss Tchniqus: ALOHA (cont.) 1 Exampl [ Aloha avoiding collision ] A pur ALOHA ntwork transmits a 200-bit fram on a shard channl Of 200 kbps at tim. What is th rquirmnt to mak this fram collision
PHA 5127 Answers Homework 2 Fall 2001
PH 5127 nswrs Homwork 2 Fall 2001 OK, bfor you rad th answrs, many of you spnt a lot of tim on this homwork. Plas, nxt tim if you hav qustions plas com talk/ask us. Thr is no nd to suffr (wll a littl suffring
Minimum Spanning Trees
Mnmum Spnnng Trs Spnnng Tr A tr (.., connctd, cyclc grph) whch contns ll th vrtcs of th grph Mnmum Spnnng Tr Spnnng tr wth th mnmum sum of wghts 1 1 Spnnng forst If grph s not connctd, thn thr s spnnng
Two Products Manufacturer s Production Decisions with Carbon Constraint
Managmnt Scinc and Enginring Vol 7 No 3 pp 3-34 DOI:3968/jms9335X374 ISSN 93-34 [Print] ISSN 93-35X [Onlin] wwwcscanadant wwwcscanadaorg Two Products Manufacturr s Production Dcisions with Carbon Constraint