Midterm Exam. Thursday, April hour, 15 minutes


 Magnus Holland
 3 years ago
 Views:
Transcription
1 Economcs of Grow, ECO560 San Francsco Sae Unvers Mcael Bar Sprng 04 Mderm Exam Tursda, prl 0 our, 5 mnues ame: Insrucons. Ts s closed boo, closed noes exam.. o calculaors of an nd are allowed. 3. Sow all e calculaons. 4. If ou need more space, use e bac of e page. 5. Full label all graps. Good uc
2 . (40 pons). Consder e Malusan model dscussed n class, and descrbed as follows. Consumers: e o consume food ( Y ). Eac consumer supples un of labor. Producers: Produce food usng land and labor. Oupu of food a me s gven b Y, 0, were s producv level a me, s (fxed) land, and s e number of worers, wc s also e sze of e populaon. Populaon: evolves accordng o g( ), were g ( ) s e grow rae of populaon as a funcon of oupu per capa Y /. I s assumed a ere s some subssence level of consumpon per capa * suc a g ( ) wen *, g ( ) wen *, and g ( ) wen *. a. Derve e equaon of oupu per capa ( ) and e law of moon of oupu per capa ( as a funcon of ) for s model. Y Oupu per capa: aw of moon of oupu per capa: g( ) / / g( )
3 b. Suppose a n some counr e producv level s fxed a, e populaon grow funcon s g( ) 0. 5, e land s 000 and land sare s Solve for e sead sae level of oupu per capa ( * ) and e sead sae populaon level ( *). Sead sae oupu per capa g( *) 0.5 * * * * * * * * 4 Sead sae populaon / * /
4 c. Suppose a a me, producv ncreased o 7, and saed a s new level forever (onceandforall ncrease n producv). ssumng a pror o e cange, e econom was a a sead sae, fnd e oupu per capa, e ne populaon grow rae a me and populaon n e nex perod,. Oupu per capa: * lernavel, usng e law of moon of oupu per capa: / 7 / g( ) 3 Populaon grow rae: g ( ) e grow rae = 50% Populaon nex perod: g( )
5 d. Gven e cange n e las secon, solve for e sead sae level of oupu per capa ( * ) and e sead sae populaon level ( *). Snce ou don ave calculaors, plug e numbers n e formula for *, wou provdng e fnal number. Sead sae oupu per capa g( *) 0.5 * * * 4 Sead sae populaon 7 * 000 * 4 If ou use calculaor, ou ge e new sead sae populaon of * / 4
6 e. ow suppose a e populaon grow funcon canged, and s now g( ) 0. 5 (prevenve cec). Solve for e new sead sae oupu per capa, and llusrae e effec of e prevenve cec on a full labeled grap of g ( ). Use e numercal resuls from s and pervous secons. Sead sae oupu per capa g( *) 0.5 * * 4 * 6 Grow rae of populaon g ( ) 4 6 Sold lne s e orgnal populaon grow funcon, and e dased lne s e new one. 5
7 . (0 pons) Te followng able sows daa for a counr of Fanasa. Fanasans lve for a maxmum of fve ears. lso, all e people are women, wo are noneeless able o reproduce. Probabl ge Populaon ge specfc of (from las Populaon n 04 n 03 ferl raes survvng o Brda) nex age Toal Calculae e populaon a eac age n 04, as well as oal populaon n 03 and 04. 6
8 3. (0 pons). ge specfc ferl raes ( F ) and probabl of beng alve a age ( ) n Inda are gven n e followng able. ge F F a. Calculae e lfe expecanc n Inda n 950 and n 00. You mus presen e formula of E, before pluggng an numbers. E E E b. Calculae e oal ferl rae (TFR) n Inda for e ears 950 and 00. You mus presen e formula of TFR, before pluggng an numbers. TFR TFR TFR F
9 c. Calculae e ne reproducon rae (RR) n Inda for e ears 950 and 00, assumng a alf of e babes are grls. You mus presen e formula of RR, before pluggng an numbers. RR RR RR F d. Explan brefl w e e Reproducon Rae dd no cange beween e ears 950 and 00, despe e fac a Toal Ferl Rae durng ese ears decreased dramacall. Your answer mus be based on e formula of RR. Te e Reproducon Rae s a on measure of ferl and moral: RR F 0 Durng e perod under dscusson, ferl and moral bo declned, wc means a:, F. In oer words, women are avng fewer cldren, bu ere s also a ger cance a e survve roug er cld bearng ears. Tese wo opposng forces us appen o cancel eac oer ou. 8
10 4. (0 pons). ssume a e aggregae oupu s produced accordng o, 0 Y K Facor Producv, and s uman capal per worer., were Y s e oal real GDP, s e Toal K s e oal pscal capal, s e number of worers, a. Te nex able presens daa on wo counres. 5?.5 Based on e above able, f e onl dfference beween e wo counres was producv, wa would be e rao of counr o counr GDP per capa? b. Te nex able sows ow e average wage ncreases n ears of educaon n a sample of counres. Years of scoolng ,0, Margnal reurn Based on e above able, ow would ou esmae e uman capal per worer n a counr were e average worer as 3.5 ears of educaon? You onl need o wre e formula a ou would use f ou ad a calculaor. ( 3.5)
11 0 5. (0 pons). Derve e approxmae grow accounng formula for oupu per capa, based on e producon funcon gven n s queson, w e oal populaon, and e fracon of worers n populaon /. Oupu per worer s K and oupu per capa s / Y Y. Tus, Usng x x x x o denoe grow raes, e above becomes: Tang logs: ln ln ln ln ln Usng e approxmaon g g ln for small g:
UNIVERSITAT AUTÒNOMA DE BARCELONA MARCH 2017 EXAMINATION
INTERNATIONAL TRADE T. J. KEHOE UNIVERSITAT AUTÒNOMA DE BARCELONA MARCH 27 EXAMINATION Please answer wo of he hree quesons. You can consul class noes, workng papers, and arcles whle you are workng on he
More informationMidterm Exam. Tuesday, September hour, 15 minutes
Ecoomcs of Growh, ECON560 Sa Fracsco Sae Uvers Mchael Bar Fall 203 Mderm Exam Tuesda, Sepember 24 hour, 5 mues Name: Isrucos. Ths s closed boo, closed oes exam. 2. No calculaors of a d are allowed. 3.
More informationGraduate Macroeconomics 2 Problem set 5.  Solutions
Graduae Macroeconomcs 2 Problem se.  Soluons Queson 1 To answer hs queson we need he frms frs order condons and he equaon ha deermnes he number of frms n equlbrum. The frms frs order condons are: F K
More informationJ i1 i. J i i+1. Numerical integration of the diffusion equation (I) Finite difference method. Spatial Discretization. Internal nodes.
umercal negraon of he dffuson equaon (I) Fne dfference mehod. Spaal screaon. Inernal nodes. R L V For hermal conducon le s dscree he spaal doman no small fne spans, =,,: Balance of parcles for an nernal
More informationTranscription: Messenger RNA, mrna, is produced and transported to Ribosomes
Quanave Cenral Dogma I Reference hp//book.bonumbers.org Inaon ranscrpon RNA polymerase and ranscrpon Facor (F) s bnds o promoer regon of DNA ranscrpon Meenger RNA, mrna, s produced and ranspored o Rbosomes
More informationJanuary Examinations 2012
Page of 5 EC79 January Examnaons No. of Pages: 5 No. of Quesons: 8 Subjec ECONOMICS (POSTGRADUATE) Tle of Paper EC79 QUANTITATIVE METHODS FOR BUSINESS AND FINANCE Tme Allowed Two Hours ( hours) Insrucons
More information(,,, ) (,,, ). In addition, there are three other consumers, 2, 1, and 0. Consumer 2 has the utility function
MACROECONOMIC THEORY T J KEHOE ECON 87 SPRING 5 PROBLEM SET # Conder an overlappng generaon economy le ha n queon 5 on problem e n whch conumer lve for perod The uly funcon of he conumer born n perod,
More information02. MOTION. Questions and Answers
CLASS09 02. MOTION Quesions and Answers PHYSICAL SCIENCE 1. Se moves a a consan speed in a consan direcion.. Reprase e same senence in fewer words using conceps relaed o moion. Se moves wi uniform velociy.
More informationTrade Patterns and Perpetual Youth in A Dynamic Small Open Economy
Econ. J. of Hokkado Unv., Vol. 40 (2011), pp. 2940 Trade Paerns and Perpeual Youh n A Dynamc Small Open Economy Naoshge Kanamor n hs paper, examne he longrun specalzaon paerns ha arse n a small open
More informationNational Exams December 2015 NOTES: 04BS13, Biology. 3 hours duration
Naonal Exams December 205 04BS3 Bology 3 hours duraon NOTES: f doub exss as o he nerpreaon of any queson he canddae s urged o subm wh he answer paper a clear saemen of any assumpons made 2 Ths s a CLOSED
More informationIn the complete model, these slopes are ANALYSIS OF VARIANCE FOR THE COMPLETE TWOWAY MODEL. (! i+1 ! i ) + [(!") i+1,q  [(!
ANALYSIS OF VARIANCE FOR THE COMPLETE TWOWAY MODEL The frs hng o es n woway ANOVA: Is here neracon? "No neracon" means: The man effecs model would f. Ths n urn means: In he neracon plo (wh A on he horzonal
More informationFTests and Analysis of Variance (ANOVA) in the Simple Linear Regression Model. 1. Introduction
ECOOMICS 35*  OTE 9 ECO 35*  OTE 9 FTess and Analyss of Varance (AOVA n he Smple Lnear Regresson Model Inroducon The smple lnear regresson model s gven by he followng populaon regresson equaon, or
More informationTHE CATCH PROCESS (continued)
THE CATCH PROCESS (coninued) In our previous derivaion of e relaionsip beween CPUE and fis abundance we assumed a all e fising unis and all e fis were spaially omogeneous. Now we explore wa appens wen
More informationComparison between the Discrete and Continuous Time Models
Comparison beween e Discree and Coninuous Time Models D. Sulsky June 21, 2012 1 Discree o Coninuous Recall e discree ime model Î = AIS Ŝ = S Î. Tese equaions ell us ow e populaion canges from one day o
More informationOur main purpose in this section is to undertake an examination of the stock
3. Caial gains ax and e sock rice volailiy Our main urose in is secion is o underake an examinaion of e sock rice volailiy by considering ow e raional seculaor s olding canges afer e ax rae on caial gains
More informationTechnical Appendix to The Equivalence of Wage and Price Staggering in Monetary Business Cycle Models
Techncal Appendx o The Equvalence of Wage and Prce Saggerng n Moneary Busness Cycle Models Rochelle M. Edge Dvson of Research and Sascs Federal Reserve Board Sepember 24, 2 Absrac Ths appendx deals he
More informationMotion in Two Dimensions
Phys 1 Chaper 4 Moon n Two Dmensons adzyubenko@csub.edu hp://www.csub.edu/~adzyubenko 005, 014 A. Dzyubenko 004 Brooks/Cole 1 Dsplacemen as a Vecor The poson of an objec s descrbed by s poson ecor, r The
More informationName: Answer Key No calculators. Show your work! 1. (21 points) All answers should either be,, a (finite) real number, or DNE ( does not exist ).
Mat  Final Exam August 3 rd, Name: Answer Key No calculators. Sow your work!. points) All answers sould eiter be,, a finite) real number, or DNE does not exist ). a) Use te grap of te function to evaluate
More informationFirstorder piecewiselinear dynamic circuits
Frsorder pecewselnear dynamc crcus. Fndng he soluon We wll sudy rsorder dynamc crcus composed o a nonlnear resse onepor, ermnaed eher by a lnear capacor or a lnear nducor (see Fg.. Nonlnear resse onepor
More informationOnline Supplement for Dynamic MultiTechnology. ProductionInventory Problem with Emissions Trading
Onlne Supplemen for Dynamc MulTechnology ProduconInvenory Problem wh Emssons Tradng by We Zhang Zhongsheng Hua Yu Xa and Baofeng Huo Proof of Lemma For any ( qr ) Θ s easy o verfy ha he lnear programmng
More informationSolution in semi infinite diffusion couples (error function analysis)
Soluon n sem nfne dffuson couples (error funcon analyss) Le us consder now he sem nfne dffuson couple of wo blocks wh concenraon of and I means ha, n a A bnary sysem, s bondng beween wo blocks made of
More informationCosumnes River College Principles of Macroeconomics Problem Set 1 Due January 30, 2017
Spring 0 Cosumnes River College Principles of Macroeconomics Problem Se Due Januar 0, 0 Name: Soluions Prof. Dowell Insrucions: Wrie he answers clearl and concisel on hese shees in he spaces provided.
More information( ) () we define the interaction representation by the unitary transformation () = ()
Hgher Order Perurbaon Theory Mchael Fowler 3/7/6 The neracon Represenaon Recall ha n he frs par of hs course sequence, we dscussed he chrödnger and Hesenberg represenaons of quanum mechancs here n he chrödnger
More informationSTATE UNIVERSITY OF NEW YORK AT ALBANY Department of Economics. Ph. D. Comprehensive Examination: Macroeconomics Spring, Partial Answer Key
STATE UNIVERSITY OF NEW YORK AT ALBANY Deparmen of Economcs Ph. D. Comprehensve Examnaon: Macroeconomcs Sprng, 200 Paral Answer Key Par I. Please answer any 2 of he followng 3 quesons.. (From McCallum,
More informationPolitical Economy of Institutions and Development: Problem Set 2 Due Date: Thursday, March 15, 2019.
Polcal Economy of Insuons and Developmen: 14.773 Problem Se 2 Due Dae: Thursday, March 15, 2019. Please answer Quesons 1, 2 and 3. Queson 1 Consder an nfnehorzon dynamc game beween wo groups, an ele and
More informationAdditional Exercises for Chapter What is the slopeintercept form of the equation of the line given by 3x + 5y + 2 = 0?
ddiional Eercises for Caper 5 bou Lines, Slopes, and Tangen Lines 39. Find an equaion for e line roug e wo poins (, 7) and (5, ). 4. Wa is e slopeinercep form of e equaion of e line given by 3 + 5y +
More informationFall 2009 Social Sciences 7418 University of WisconsinMadison. Problem Set 2 Answers (4) (6) di = D (10)
Publc Affars 974 Menze D. Chnn Fall 2009 Socal Scences 7418 Unversy of WsconsnMadson Problem Se 2 Answers Due n lecure on Thursday, November 12. " Box n" your answers o he algebrac quesons. 1. Consder
More informationORDINARY DIFFERENTIAL EQUATIONS EULER S METHOD
Numercal Analss or Engneers German Jordanan Unverst ORDINARY DIFFERENTIAL EQUATIONS We wll eplore several metods o solvng rst order ordnar derental equatons (ODEs and we wll sow ow tese metods can be appled
More informationTHE PREDICTION OF COMPETITIVE ENVIRONMENT IN BUSINESS
THE PREICTION OF COMPETITIVE ENVIRONMENT IN BUSINESS INTROUCTION The wo dmensonal paral dfferenal equaons of second order can be used for he smulaon of compeve envronmen n busness The arcle presens he
More informationMechanics Physics 151
Mechancs Physcs 5 Lecure 9 Hamlonan Equaons of Moon (Chaper 8) Wha We Dd Las Tme Consruced Hamlonan formalsm H ( q, p, ) = q p L( q, q, ) H p = q H q = p H = L Equvalen o Lagrangan formalsm Smpler, bu
More informationMechanics Physics 151
Mechancs Physcs 5 Lecure 9 Hamlonan Equaons of Moon (Chaper 8) Wha We Dd Las Tme Consruced Hamlonan formalsm Hqp (,,) = qp Lqq (,,) H p = q H q = p H L = Equvalen o Lagrangan formalsm Smpler, bu wce as
More informationVariants of Pegasos. December 11, 2009
Inroducon Varans of Pegasos SooWoong Ryu bshboy@sanford.edu December, 009 Youngsoo Cho yc344@sanford.edu Developng a new SVM algorhm s ongong research opc. Among many exng SVM algorhms, we wll focus on
More informationProblem Set 5. Graduate Macro II, Spring 2017 The University of Notre Dame Professor Sims
Problem Se 5 Graduae Macro II, Spring 2017 The Universiy of Nore Dame Professor Sims Insrucions: You may consul wih oher members of he class, bu please make sure o urn in your own work. Where applicable,
More informationCHAPTER II AC POWER CALCULATIONS
CHAE AC OWE CACUAON Conens nroducon nsananeous and Aerage ower Effece or M alue Apparen ower Coplex ower Conseraon of AC ower ower Facor and ower Facor Correcon Maxu Aerage ower ransfer Applcaons 3 nroducon
More informationû s L u t 0 s a ; i.e., û s 0
Te HilleYosida Teorem We ave seen a wen e absrac IVP is uniquely solvable en e soluion operaor defines a semigroup of bounded operaors. We ave no ye discussed e condiions under wic e IVP is uniquely solvable.
More informationExistence and Uniqueness Results for Random Impulsive IntegroDifferential Equation
Global Journal of Pure and Appled Mahemacs. ISSN 973768 Volume 4, Number 6 (8), pp. 8987 Research Inda Publcaons hp://www.rpublcaon.com Exsence and Unqueness Resuls for Random Impulsve InegroDfferenal
More informationOutline. EnergyEfficient Target Coverage in Wireless Sensor Networks. Sensor Node. Introduction. Characteristics of WSN
EnerEffcen Tare Coverae n Wreless Sensor Newors Presened b M Trà Tá 44 Inroducon Bacround Relaed Wor Our Proosal Oulne Maxmum Se Covers (MSC) Problem MSC Problem s NPComlee MSC Heursc Concluson Sensor
More informationLet s treat the problem of the response of a system to an applied external force. Again,
Page 33 QUANTUM LNEAR RESPONSE FUNCTON Le s rea he problem of he response of a sysem o an appled exernal force. Agan, H() H f () A H + V () Exernal agen acng on nernal varable Hamlonan for equlbrum sysem
More informationDensity Matrix Description of NMR BCMB/CHEM 8190
Densy Marx Descrpon of NMR BCMBCHEM 89 Operaors n Marx Noaon If we say wh one bass se, properes vary only because of changes n he coeffcens weghng each bass se funcon x = h< Ix >  hs s how we calculae
More informationEcon107 Applied Econometrics Topic 5: Specification: Choosing Independent Variables (Studenmund, Chapter 6)
Econ7 Appled Economercs Topc 5: Specfcaon: Choosng Independen Varables (Sudenmund, Chaper 6 Specfcaon errors ha we wll deal wh: wrong ndependen varable; wrong funconal form. Ths lecure deals wh wrong ndependen
More informationRelative Efficiency and Productivity Dynamics of the Metalware Industry in Hanoi
Relave Effcency and Producvy Dynamcs of he Mealware Indusry n Hano Nguyen Khac Mnh Dau Thuy Ma and Vu Quang Dong Absrac Ths paper focuses on relave effcency and producvy dynamcs of he mealware ndusry n
More informationTHEORETICAL AUTOCORRELATIONS. ) if often denoted by γ. Note that
THEORETICAL AUTOCORRELATIONS Cov( y, y ) E( y E( y))( y E( y)) ρ = = Var( y) E( y E( y)) =,, L ρ = and Cov( y, y ) s ofen denoed by whle Var( y ) f ofen denoed by γ. Noe ha γ = γ and ρ = ρ and because
More informationEconomics 120C Final Examination Spring Quarter June 11 th, 2009 Version A
Suden Name: Economcs 0C Sprng 009 Suden ID: Name of Suden o your rgh: Name of Suden o your lef: Insrucons: Economcs 0C Fnal Examnaon Sprng Quarer June h, 009 Verson A a. You have 3 hours o fnsh your exam.
More informationJohn Geweke a and Gianni Amisano b a Departments of Economics and Statistics, University of Iowa, USA b European Central Bank, Frankfurt, Germany
Herarchcal Markov Normal Mxure models wh Applcaons o Fnancal Asse Reurns Appendx: Proofs of Theorems and Condonal Poseror Dsrbuons John Geweke a and Gann Amsano b a Deparmens of Economcs and Sascs, Unversy
More information10. A.C CIRCUITS. Theoretically current grows to maximum value after infinite time. But practically it grows to maximum after 5τ. Decay of current :
. A. IUITS Synopss : GOWTH OF UNT IN IUIT : d. When swch S s closed a =; = d. A me, curren = e 3. The consan / has dmensons of me and s called he nducve me consan ( τ ) of he crcu. 4. = τ; =.63, n one
More informationAppendix H: Rarefaction and extrapolation of Hill numbers for incidence data
Anne Chao Ncholas J Goell C seh lzabeh L ander K Ma Rober K Colwell and Aaron M llson 03 Rarefacon and erapolaon wh ll numbers: a framewor for samplng and esmaon n speces dversy sudes cology Monographs
More informationOn One Analytic Method of. Constructing Program Controls
Appled Mahemacal Scences, Vol. 9, 05, no. 8, 409407 HIKARI Ld, www.mhkar.com hp://dx.do.org/0.988/ams.05.54349 On One Analyc Mehod of Consrucng Program Conrols A. N. Kvko, S. V. Chsyakov and Yu. E. Balyna
More information[Link to MITLab 6P.1 goes here.] After completing the lab, fill in the following blanks: Numerical. Simulation s Calculations
Chaper 6: Ordnary Leas Squares Esmaon Procedure he Properes Chaper 6 Oulne Cln s Assgnmen: Assess he Effec of Sudyng on Quz Scores Revew o Regresson Model o Ordnary Leas Squares () Esmaon Procedure o he
More informationLecture 2 M/G/1 queues. M/G/1queue
Lecure M/G/ queues M/G/queue Posson arrval process Arbrary servce me dsrbuon Sngle server To deermne he sae of he sysem a me, we mus now The number of cusomers n he sysems N() Tme ha he cusomer currenly
More informationChapter Lagrangian Interpolation
Chaper 5.4 agrangan Inerpolaon Afer readng hs chaper you should be able o:. dere agrangan mehod of nerpolaon. sole problems usng agrangan mehod of nerpolaon and. use agrangan nerpolans o fnd deraes and
More informationLinear Response Theory: The connection between QFT and experiments
Phys540.nb 39 3 Lnear Response Theory: The connecon beween QFT and expermens 3.1. Basc conceps and deas Q: ow do we measure he conducvy of a meal? A: we frs nroduce a weak elecrc feld E, and hen measure
More informationMinimum Investment Requirement, Financial Integration and Economic (In)stability: A Refinement to Matsuyama (2004)
Mnmum Invesmen Requremen, Fnancal Inegraon and Economc (In)sably: A Refnemen o Masuyama (2004) Hapng Zhang Dec 203 Paper No. 09 203 ANY OPINIONS EXPRESSED ARE THOSE OF THE AUTHOR(S) AND NOT NECESSARILY
More informationVolatility Interpolation
Volaly Inerpolaon Prelmnary Verson March 00 Jesper Andreasen and Bran Huge Danse Mares, Copenhagen wan.daddy@danseban.com brno@danseban.com Elecronc copy avalable a: hp://ssrn.com/absrac=69497 Inro Local
More information= W e e ( ) ( ) = = ( a h) W e [ ] d. y + + <
W e e W e [ ] d ( ) + y + + < ( ) b a f f (a) ( a ) ( a ) p ( ) y ( ) ( a ) ( a ) ( + ) ( ( a ) ) ( ( a ) ) ( ) ( a ) ( a ) ( )+ by + Â p ( ) ( + a ) ( + ) + + ( ( a ) )+ ( ( a ) ) ( + ) + ( ) + ( a )
More informationFinal Exam. Tuesday, December hours
San Francisco Sae Universiy Michael Bar ECON 560 Fall 03 Final Exam Tuesday, December 7 hours Name: Insrucions. This is closed book, closed noes exam.. No calculaors of any kind are allowed. 3. Show all
More informationLecture 18: The Laplace Transform (See Sections and 14.7 in Boas)
Lecure 8: The Lalace Transform (See Secons 88 and 47 n Boas) Recall ha our bgcure goal s he analyss of he dfferenal equaon, ax bx cx F, where we emloy varous exansons for he drvng funcon F deendng on
More informationTimeinterval analysis of β decay. V. Horvat and J. C. Hardy
Tmenerval analyss of β decay V. Horva and J. C. Hardy Work on he even analyss of β decay [1] connued and resuled n he developmen of a novel mehod of beadecay menerval analyss ha produces hghly accurae
More informationV.Abramov  FURTHER ANALYSIS OF CONFIDENCE INTERVALS FOR LARGE CLIENT/SERVER COMPUTER NETWORKS
R&RATA # Vol.) 8, March FURTHER AALYSIS OF COFIDECE ITERVALS FOR LARGE CLIET/SERVER COMPUTER ETWORKS Vyacheslav Abramov School of Mahemacal Scences, Monash Unversy, Buldng 8, Level 4, Clayon Campus, Wellngon
More informationMath 312 Lecture Notes Modeling
Mat 3 Lecture Notes Modeling Warren Weckesser Department of Matematics Colgate University 5 7 January 006 Classifying Matematical Models An Example We consider te following scenario. During a storm, a
More informationDepartment of Economics University of Toronto
Deparmen of Economcs Unversy of Torono ECO408F M.A. Economercs Lecure Noes on Heeroskedascy Heeroskedascy o Ths lecure nvolves lookng a modfcaons we need o make o deal wh he regresson model when some of
More informationTSS = SST + SSE An orthogonal partition of the total SS
ANOVA: Topc 4. Orhogonal conrass [ST&D p. 183] H 0 : µ 1 = µ =... = µ H 1 : The mean of a leas one reamen group s dfferen To es hs hypohess, a basc ANOVA allocaes he varaon among reamen means (SST) equally
More information12d Model. Civil and Surveying Software. Drainage Analysis Module Detention/Retention Basins. Owen Thornton BE (Mech), 12d Model Programmer
d Model Cvl and Surveyng Soware Dranage Analyss Module Deenon/Reenon Basns Owen Thornon BE (Mech), d Model Programmer owen.hornon@d.com 4 January 007 Revsed: 04 Aprl 007 9 February 008 (8Cp) Ths documen
More informationLogarithmic functions
Roberto s Notes on Differential Calculus Capter 5: Derivatives of transcendental functions Section Derivatives of Logaritmic functions Wat ou need to know alread: Definition of derivative and all basic
More information2/20/2013. EE 101 Midterm 2 Review
//3 EE Mderm eew //3 Volagemplfer Model The npu ressance s he equalen ressance see when lookng no he npu ermnals of he amplfer. o s he oupu ressance. I causes he oupu olage o decrease as he load ressance
More informationDensity Matrix Description of NMR BCMB/CHEM 8190
Densy Marx Descrpon of NMR BCMBCHEM 89 Operaors n Marx Noaon Alernae approach o second order specra: ask abou x magnezaon nsead of energes and ranson probables. If we say wh one bass se, properes vary
More informationMacroeconomic Theory Ph.D. Qualifying Examination Fall 2005 ANSWER EACH PART IN A SEPARATE BLUE BOOK. PART ONE: ANSWER IN BOOK 1 WEIGHT 1/3
Macroeconomic Theory Ph.D. Qualifying Examinaion Fall 2005 Comprehensive Examinaion UCLA Dep. of Economics You have 4 hours o complee he exam. There are hree pars o he exam. Answer all pars. Each par has
More informationFiscal multipliers in a twosector search and matching model
Fscal mulplers n a wosecor search and machng model Konsannos Angelopoulos Unversy of Glasgow We Jang Unversy of Ken James Malley Unversy of Glasgow and CESfo January 25, 25 Absrac Ths paper evaluaes he
More informationF (u) du. or f(t) = t
8.3 Topic 9: Impulses and dela funcions. Auor: Jeremy Orloff Reading: EP 4.6 SN CG.34 pp.25. Warmup discussion abou inpu Consider e rae equaion d + k = f(). To be specific, assume is in unis of d kilograms.
More informationNotes on the stability of dynamic systems and the use of Eigen Values.
Noes on he sabl of dnamc ssems and he use of Egen Values. Source: Macro II course noes, Dr. Davd Bessler s Tme Seres course noes, zarads (999) Ineremporal Macroeconomcs chaper 4 & Techncal ppend, and Hamlon
More informationPHYS 1443 Section 001 Lecture #4
PHYS 1443 Secon 001 Lecure #4 Monda, June 5, 006 Moon n Two Dmensons Moon under consan acceleraon Projecle Moon Mamum ranges and heghs Reerence Frames and relae moon Newon s Laws o Moon Force Newon s Law
More informationSupporting information How to concatenate the local attractors of subnetworks in the HPFP
n Effcen lgorh for Idenfyng Prry Phenoype rcors of LrgeScle Boolen Newor SngMo Choo nd KwngHyun Cho Depren of Mhecs Unversy of Ulsn Ulsn 446 Republc of Kore Depren of Bo nd Brn Engneerng Kore dvnced
More informationPERISHABLES INVENTORY CONTROL MODEL UNDER TIME VARYING AND CONTINUOUS DEMAND
PERISHABLES INVENTORY CONTROL MODEL UNDER TIME VARYING AND CONTINUOUS DEMAND Xangyang Ren 1, Hucong L, Meln Ce ABSTRACT: Ts paper consders e yseress persable caracerscs and sorage amoun of delayed rae
More informationAnisotropic Behaviors and Its Application on Sheet Metal Stamping Processes
Ansoropc Behavors and Is Applcaon on Shee Meal Sampng Processes Welong Hu ETAEngneerng Technology Assocaes, Inc. 33 E. Maple oad, Sue 00 Troy, MI 48083 USA 4879300 whu@ea.com Jeanne He ETAEngneerng
More informationCooperative Ph.D. Program in School of Economic Sciences and Finance QUALIFYING EXAMINATION IN MACROECONOMICS. August 8, :45 a.m. to 1:00 p.m.
Cooperaive Ph.D. Program in School of Economic Sciences and Finance QUALIFYING EXAMINATION IN MACROECONOMICS Augus 8, 213 8:45 a.m. o 1: p.m. THERE ARE FIVE QUESTIONS ANSWER ANY FOUR OUT OF FIVE PROBLEMS.
More informationNATIONAL UNIVERSITY OF SINGAPORE PC5202 ADVANCED STATISTICAL MECHANICS. (Semester II: AY ) Time Allowed: 2 Hours
NATONAL UNVERSTY OF SNGAPORE PC5 ADVANCED STATSTCAL MECHANCS (Semeser : AY 113) Tme Allowed: Hours NSTRUCTONS TO CANDDATES 1. Ths examnaon paper conans 5 quesons and comprses 4 prned pages.. Answer all
More informationDemographics in Dynamic HeckscherOhlin Models: Overlapping Generations versus Infinitely Lived Consumers*
Federal Reserve Ban of Mnneapols Research Deparmen Saff Repor 377 Sepember 6 Demographcs n Dynamc HecscherOhln Models: Overlappng Generaons versus Infnely Lved Consumers* Clausre Bajona Unversy of Mam
More informationANSWERS. Problem 1. and the moment generating function (mgf) by. defined for any real t. Use this to show that E( U) var( U)
Econ 413 Exam 13 H ANSWERS Settet er nndelt 9 deloppgaver, A,B,C, som alle anbefales å telle lkt for å gøre det ltt lettere å stå. Svar er gtt . Unfortunately, there s a prntng error n the hnt of
More informationPSAT/NMSQT PRACTICE ANSWER SHEET SECTION 3 EXAMPLES OF INCOMPLETE MARKS COMPLETE MARK B C D B C D B C D B C D B C D 13 A B C D B C D 11 A B C D B C D
PSTNMSQT PRCTICE NSWER SHEET COMPLETE MRK EXMPLES OF INCOMPLETE MRKS I i recommended a you ue a No pencil I i very imporan a you fill in e enire circle darkly and compleely If you cange your repone, erae
More informationEstimation of Investment in Residential and Nonresidential Structures v2.0
Esimaion of Invesmen in Residenial and Nonresidenial Srucures v2.0 Ocober 2015 In he REMI model, he invesmen expendiures depends on he gap beween he opimal capial socks and he acual capial socks. The general
More informationSuggested Solutions to Assignment 4 (REQUIRED) Submisson Deadline and Location: March 27 in Class
EC 450 Advanced Macroeconomics Insrucor: Sharif F Khan Deparmen of Economics Wilfrid Laurier Universiy Winer 2008 Suggesed Soluions o Assignmen 4 (REQUIRED) Submisson Deadline and Locaion: March 27 in
More informationOMXS30 Balance 20% Index Rules
OMX30 Balance 0% ndex Rules Verson as of 30 March 009 Copyrgh 008, The NADAQ OMX Group, nc. All rghs reserved. NADAQ OMX, The NADAQ ock Marke and NADAQ are regsered servce/rademarks of The NADAQ OMX Group,
More informationTHERMODYNAMICS 1. The First Law and Other Basic Concepts (part 2)
Company LOGO THERMODYNAMICS The Frs Law and Oher Basc Conceps (par ) Deparmen of Chemcal Engneerng, Semarang Sae Unversy Dhon Harano S.T., M.T., M.Sc. Have you ever cooked? Equlbrum Equlbrum (con.) Equlbrum
More informationEconomics 101. Lecture 4  Equilibrium and Efficiency
Economcs 0 Lecture 4  Equlbrum and Effcency Intro As dscussed n the prevous lecture, we wll now move from an envronment where we looed at consumers mang decsons n solaton to analyzng economes full of
More informationCS434a/541a: Pattern Recognition Prof. Olga Veksler. Lecture 4
CS434a/54a: Paern Recognon Prof. Olga Veksler Lecure 4 Oulne Normal Random Varable Properes Dscrmnan funcons Why Normal Random Varables? Analycally racable Works well when observaon comes form a corruped
More informationModule 2. Random Processes. Version 2 ECE IIT, Kharagpur
Module Random Processes Lesson 6 Functons of Random Varables After readng ths lesson, ou wll learn about cdf of functon of a random varable. Formula for determnng the pdf of a random varable. Let, X be
More information2.2 Derivative. 1. Definition of Derivative at a Point: The derivative of the function f x at x a is defined as
. Derivative. Definition of Derivative at a Point: Te derivative of te function f at a is defined as f fa fa a lim provided te limit eists. If te limit eists, we sa tat f is differentiable at a, oterwise,
More informationII. Light is a Ray (Geometrical Optics)
II Lgh s a Ray (Geomercal Opcs) IIB Reflecon and Refracon Hero s Prncple of Leas Dsance Law of Reflecon Hero of Aleandra, who lved n he 2 nd cenury BC, posulaed he followng prncple: Prncple of Leas Dsance:
More informationNormal Random Variable and its discriminant functions
Noral Rando Varable and s dscrnan funcons Oulne Noral Rando Varable Properes Dscrnan funcons Why Noral Rando Varables? Analycally racable Works well when observaon coes for a corruped snle prooype 3 The
More information2015 Practice Test #1
Pracice Te # Preliminary SATNaional Meri Scolarip Qualifying Te IMPORTANT REMINDERS A No. pencil i required for e e. Do no ue a mecanical pencil or pen. Saring any queion wi anyone i a violaion of Te Securiy
More informationLecture Notes 3: Quantitative Analysis in DSGE Models: New Keynesian Model
Lecure Noes 3: Quaniaive Analysis in DSGE Models: New Keynesian Model Zhiwei Xu, Email: xuzhiwei@sju.edu.cn The moneary policy plays lile role in he basic moneary model wihou price sickiness. We now urn
More informationChapters 2 Kinematics. Position, Distance, Displacement
Chapers Knemacs Poson, Dsance, Dsplacemen Mechancs: Knemacs and Dynamcs. Knemacs deals wh moon, bu s no concerned wh he cause o moon. Dynamcs deals wh he relaonshp beween orce and moon. The word dsplacemen
More informationFiltrage particulaire et suivi multipistes Carine Hue JeanPierre Le Cadre and Patrick Pérez
Chaînes de Markov cachées e flrage parculare 222 anver 2002 Flrage parculare e suv mulpses Carne Hue JeanPerre Le Cadre and Parck Pérez Conex Applcaons: Sgnal processng: arge rackng bearngsonl rackng
More informationCENTROID (AĞIRLIK MERKEZİ )
CENTOD (ĞLK MEKEZİ ) centrod s a geometrcal concept arsng from parallel forces. Tus, onl parallel forces possess a centrod. Centrod s tougt of as te pont were te wole wegt of a pscal od or sstem of partcles
More informationNUMERICAL DIFFERENTIATION. James T. Smith San Francisco State University. In calculus classes, you compute derivatives algebraically: for example,
NUMERICAL DIFFERENTIATION James T Smit San Francisco State University In calculus classes, you compute derivatives algebraically: for example, f( x) = x + x f ( x) = x x Tis tecnique requires your knowing
More informationPrecalculus Test 2 Practice Questions Page 1. Note: You can expect other types of questions on the test than the ones presented here!
Precalculus Test 2 Practice Questions Page Note: You can expect oter types of questions on te test tan te ones presented ere! Questions Example. Find te vertex of te quadratic f(x) = 4x 2 x. Example 2.
More informationECON 8105 FALL 2017 ANSWERS TO MIDTERM EXAMINATION
MACROECONOMIC THEORY T. J. KEHOE ECON 85 FALL 7 ANSWERS TO MIDTERM EXAMINATION. (a) Wh an ArrowDebreu markes sruure fuures markes for goods are open n perod. Consumers rade fuures onras among hemselves.
More informationPrinted Name: Section #: Instructor:
Printed Name: Section #: Instructor: Please do not ask questions during tis exam. If you consider a question to be ambiguous, state your assumptions in te margin and do te best you can to provide te correct
More informationMTH112 Quiz 1 Name: # :
MTH Quiz Name: # : Please write our name in te provided space. Simplif our answers. Sow our work.. Determine weter te given relation is a function. Give te domain and range of te relation.. Does te equation
More informationProblem 1 / 25 Problem 2 / 15 Problem 3 / 15 Problem 4 / 20 Problem 5 / 25 TOTAL / 100
Deparmen of Appled Economcs Johns Hopkns Unversy Economcs 60 Macroeconomc Theory and Polcy Fnal Exam Suggesed Soluons Professor Sanjay Chugh Fall 009 NAME: The Exam has a oal of fve (5) problems and pages
More informationExample: MOSFET Amplifier Distortion
4/25/2011 Example MSFET Amplfer Dsoron 1/9 Example: MSFET Amplfer Dsoron Recall hs crcu from a prevous handou: ( ) = I ( ) D D d 15.0 V RD = 5K v ( ) = V v ( ) D o v( )  K = 2 0.25 ma/v V = 2.0 V 40V.
More information