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### midterm2+fall+2010+solutions

Course: ECI 114, Fall 2011
School: UC Davis
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Word Count: 1317

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UC Davis - ECI - 114
ECI 114Fall 2009NameMidterm 2 (100 points)Wednesday, November 18, 2009Show your work. Its not necessary to give a final numerical answer unless speci fically asked, but youneed to provide all the information necessary to compute the final answer. Pl
UC Davis - ECI - 114
ECI 114Fall 2009NameSolutionsMidterm 1 (100 points)Wednesday, October 28, 2009Show your work. Its not necessary to give a final numerical answer unless speci fically asked, but youneed to provide all the information necessary to compute the final a
UC Davis - ECI - 114
ECI 114Fall 2010Name _Midterm 1 Solutions (100 points): October 20, 2010SHOW your work. It is not necessary to give a final numerical answer like 12 unlessspecifically asked; you just need to have the correct expression like 4!/2!. Please circle oro
UC Davis - ECI - 114
ECI 114Fall 2009NameFinal (100 points)Thursday, Dec. 10, 2009, 3:30-5:30 pmShow your work. Its not necessary to give a final numerical answer unless speci fically asked, but youneed to provide all the information necessary to compute the final answe
UC Davis - ECI - 114
UC Davis - ECI - 114
ECI 114Fall 2011Name Solutions_Midterm 2 (100 points)Monday, November 14, 2011Show your work. Its not necessary to give a final numerical answer unless speci fically asked, but you need toprovide all the information necessary to compute the final an
UC Davis - ECI - 114
ECI 114Fall 2011NameSolutionsMidterm 1 (100 points)Wednesday, October 19, 2011Show your work. Its not necessary to give a final numerical answer unless speci fically asked, but you need toprovide all the information necessary to compute the final a
UC Davis - ECI - 114
ECI 114Fall 2011University of California, DavisDepartment of Civil and Environmental EngineeringHomework Assignment 6 (67 points)Turn in to Wei Zou by 10:45 a.m. Wednesday, Nov. 30, 2011 NO EXTENSIONSShow all work and explain your answers; no credit
UC Davis - ECI - 114
ECI 114Fall 2011University of California, DavisDepartment of Civil and Environmental EngineeringHomework Assignment 6 (67 points)Turn in to Wei Zou by 10:45 a.m. Wednesday, Nov. 30, 2011 NO EXTENSIONSShow all work and explain your answers; no credit
UC Davis - ECI - 114
ECI 114Fall 2011University of California, DavisDepartment of Civil and Environmental EngineeringHomework Assignment 5 (62 points)Due at 5 p.m Monday, Nov. 21, 2011Show all work and explain your answers; no credit will be given for solutions only. Wr
UC Davis - ECI - 114
ECI114 HW 4 Solutions Due Nov 7th, 5pm1. (2+4+2=8 points) Suppose that earthquakes occur randomly in the western region of the US,with an average of 2 per week. For each part, clearly define the random variable of interest.a) Find the probability that
UC Davis - ECI - 114
ECI114 HW3 Due 5p.m Wed, Oct. 26thQ1.a) Here cylinders are selected without replacement. And n/N = 5/15 &gt; 0.1.Thus, X is a hypergeometric random variable, i.e. it uses the multiplecombinations rule. r N r 6 15 6 x n x x 5 x = p ( x) = where
UC Davis - ECI - 114
ECI 114 2011fall HW2 solution; due Oct.12, 2011 5pmQ1. a.C525 =25 * 24 * 23 * 22 * 21= 53,1305* 4 *3* 28 17b. C 4 C1 =8!*17 = 11904!4!c. Let D be the number of defective buses falling into the sample of 5.Pr[ D = 4] =d.8 17C 4 C11190== 0
UC Davis - ECI - 114
ECI 114 Fall 2011 Homework 1 solutionsDue on 5pm Oct. 3, Mon.1. (a)Sample: The sample of interest is the sixteen pH measurements of the solution.Population: To define the population, ask yourself, To what set of entities would it bereasonable to gene
UC Davis - ECI - 114
ECI 114Fall 2011NAME: _Final Examination (Solutions)Monday, December 5, 2011, 10:30 a.m. - 12:30 p.m.100+5 bonus pointsShow your work. Its not necessary to give a final numerical answer unless specifically asked, but you need toclearly provide all
Penn State - CMPSC - 451
Fall 2011, CMPSC/MATH 451Homework Assignment #1Due September 9 (hand over in class or submit via Angel by 11 am)1The Euclidean norm of an n-dimensional vector x is dened by |x|2 = (n x2 )1/2 .i=1 i(a ) Discuss how there may be overow and harmful und
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 1Aug 22, 2011Prof. Kamesh MadduriWelcome to the class!We will meet in 110 Walker BuildingLectures MWFSection 451.001: 11.15 AM 12.05 PMSection 451.002: 12.20 AM 1.10 PM2Your instructor is KameshMaddu
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 2Aug 24, 2011Prof. Kamesh MadduriTrue/FalseREVIEW2A problem is ill-conditioned if itssolution is highly sensitive tosmall changes in problem dataFalse. ill-conditioned problem =&gt; highcondition number
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 3Aug 26, 2011Prof. Kamesh MadduriREVIEW2Error AnalysisAbsolute and relative errorComputational and propagated data errorRounding and truncation errorSensitivity/Conditioning for problemsComputing the
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 4Aug 29, 2011Prof. Kamesh MadduriREVIEW2Floating-point numbers3IEEE-754(1985) RepresentationExponent is stored in biased format: a biasvalue is added to the actual exponent.Single-precision: bias is
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 5Aug 31, 2011Prof. Kamesh MadduriSystems of Linear Equations Covered on blackboard, corresponding slidesfrom textbook follow.2Existence, Uniqueness, and ConditioningSolving Linear SystemsSpecial Types
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 6September 2, 2011Prof. Kamesh MadduriREVIEW2Systems of Linear Equations: PreliminariesLinearly-independent vectorsRank of a matrixSpan(A)Ax=bWhen is the matrix A non-singular?Matrix singularity tel
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 7September 7, 2011Prof. Kamesh MadduriREVIEW2Last class: Vector Norms,Matrix Norms, and ConditioningProperties of a vector normMatrix normProperties of a matrix normCondition numberError bounds and
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 8September 9, 2011Prof. Kamesh MadduriReview of last classTransformationsTriangular systemsForward substitutionBack substitution2Gaussian Elimination Covered on blackboard, corresponding slidesfrom
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 9September 12, 2011Prof. Kamesh MadduriReview of last class Gaussian Elimination/LU decomposition2Improved Gaussian Elimination Covered on blackboard, corresponding slidesfrom textbook follow.3Existe
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 10September 14, 2011Prof. Kamesh MadduriReview of last classGaussian Elimination with Partial PivotingError bounds for GE with partial pivotingExercise from textbook2This classHW1 discussionHW1 code
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 11September 16, 2011Prof. Kamesh MadduriReview of last class HW1 discussion2This classOperation count for Gaussian EliminationStudied Octave code: badlufact, lutxUniqueness of LU factorizationViewing
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 12September 19, 2011Prof. Kamesh MadduriReview of last classOperation count for Gaussian EliminationStudied Octave code: badlufact, lutxUniqueness of LU factorizationViewing matrices as submatricesOper
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 13September 21, 2011Prof. Kamesh MadduriReview of last class Modified problems Sherman-Morrison formula Improving accuracy Diagonal scaling Iterative refinement Cholesky factorization Factoring bande
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 16September 28, 2011Prof. Kamesh MadduriThis class I handed out graded midterm exams I went over exam solutions in class (I will postthe solutions in the exam folder on Angel) Non-linear equations Cond
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 17September 30, 2011Prof. Kamesh MadduriThis class Convergence rate Intermediate value theorem Interval bisection Slides from textbook follow2Nonlinear EquationsNumerical Methods in One DimensionMet
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 18October 3, 2011Prof. Kamesh MadduriClass Overview Fixed point iteration Local convergence Newtons method2Nonlinear EquationsNumerical Methods in One DimensionMethods for Systems of Nonlinear Equati
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 19October 5, 2011Prof. Kamesh MadduriClass Overview Newtons method convergence theorems Exercises Secant method2Nonlinear EquationsNumerical Methods in One DimensionMethods for Systems of Nonlinear E
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 20October 7, 2011Prof. Kamesh MadduriClass OverviewQuadratic InterpolationInverse Quadratic InterpolationLinear Fractional InterpolationDekkers method, Brents methodReview of all methods Exercises2N
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 21October 10, 2011Prof. Kamesh MadduriClass Overview2
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 22October 12, 2011Prof. Kamesh MadduriClass Overview More exercises 5.7, 5.10 from textbook Systems of non-linear equations Fixed point iteration Newtons method2Nonlinear EquationsNumerical Methods
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 23October 14, 2011Prof. Kamesh MadduriClass Overview Systems of non-linear equations Broydens method Started discussion of next unit, Interpolation2Nonlinear EquationsNumerical Methods in One Dimensio
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 24October 17, 2011Prof. Kamesh MadduriClass Overview: InterpolationMotivationIssues in InterpolationPolynomial InterpolationBasis functions Monomial basis Scaled monomial basis Horners nested evaluat
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 25October 19, 2011Prof. Kamesh MadduriClass Overview: Interpolation Lagrange basis Newton basis2InterpolationPolynomial InterpolationPiecewise Polynomial InterpolationMonomial, Lagrange, and Newton I
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 26October 21, 2011Prof. Kamesh MadduriClass Overview: Interpolation Newton method, evaluating coefficients usingDivided differences Orthonormal polynomials Legendre polynomials2InterpolationPolynomia
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 27October 24, 2011Prof. Kamesh MadduriClass Overview: Interpolation Chebyshev polynomials Chebyshev points Issues with higher order polynomialinterpolation Runges function2InterpolationPolynomial In
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 28October 24, 2011Prof. Kamesh MadduriClass Overview: Interpolation Piecewise polynomial interpolation Cubic Hermite interpolation Cubic spline interpolation Octave tutorial2InterpolationPolynomial I
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 29October 28, 2011Prof. Kamesh MadduriClass Overview: Interpolation B-splines (section 2) Octave tutorial, continued Non-linear equations review (see slides inExam folder)2InterpolationPolynomial Int
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 31Nov 2, 2011Prof. Kamesh MadduriNumerical Integration andDifferentiation Introduction, Riemann sums Quadrature rules Newton-Cotes Quadrature Slides from textbook follow.2Numerical IntegrationNumeri
Penn State - CMPSC - 451
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 33Nov 7, 2011Prof. Kamesh MadduriClass Overview I gave out graded midterm exam 2 papers, andwe discussed solutions to exam problems Gaussian quadrature Slides from textbook follow.2Numerical Integrati
Penn State - CMPSC - 451
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 35Nov 11, 2011Prof. Kamesh MadduriClass Overview Octave code for composite and adaptivequadrature (see tutorial) Integrating tabular data Improper integrals Monte-Carlo Integration Slides from textboo
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 36Nov 14, 2011Prof. Kamesh MadduriClass Overview Numerical Differentiation Finite difference schemes Richardson Extrapolation Slides from textbook follow.2Numerical IntegrationNumerical Differentiati
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 37Nov 28, 2011Prof. Kamesh MadduriClass Overview Definitions Order of an ODE Linear ODE Homogenous ODE Independent and dependent variables IVP Predator-Prey populations example Slides from textbook
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 38Nov 30, 2011Prof. Kamesh MadduriClass Overview ODEs: Existence of Solution, Uniqueness Lipschitz theorem Stability Slides from textbook follow.2Ordinary Differential EquationsNumerical Solution of
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 39Dec 2, 2011Prof. Kamesh MadduriClass Overview Eulers method Slides from textbook follow.2Ordinary Differential EquationsNumerical Solution of ODEsAdditional Numerical MethodsEulers MethodAccuracy
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 40Dec 5, 2011Prof. Kamesh MadduriClass Overview Backward Euler method Implicit Trapezoid method Slides from textbook follow.2Ordinary Differential EquationsNumerical Solution of ODEsAdditional Numeri
Penn State - CMPSC - 451
CMPSC/MATH 451Numerical ComputationsLecture 41Dec 7, 2011Prof. Kamesh MadduriClass Overview Runge-Kutta methods Slides from textbook follow.2Ordinary Differential EquationsNumerical Solution of ODEsAdditional Numerical MethodsSingle-Step Metho
Penn State - CMPSC - 451
Fall 2011, CMPSC/MATH 451Lecture 1: Aug 23, 2011Lecture 2: Aug 25, 2011These notes are meant to cover whats discussed on the blackboard, and are almost entirely derivedfrom the textbook.1Error Analysis: some denitionsabsolute error = approximate va
UCM - ACCT - adv taxati
Chapter 2Corporations:Introduction andOperating RulesCorporations, Partnerships,Estates &amp; Trusts 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.1
UCM - ACCT - 4130
Chapter 3Corporations: SpecialSituationsCorporations, Partnerships,Estates &amp; Trusts 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.The Big Picture
UCM - ACCT - 4130
Chapter 5Corporations:Earnings &amp; Profitsand Dividend DistributionsCorporations, Partnerships,Estates &amp; Trusts 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole
UCM - ACCT - 4130
Chapter 6Corporations:Redemptionsand LiquidationsCorporations, Partnerships,Estates &amp; Trusts 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.1The
UCM - ACCT - 4130
Chapter 7Corporations:ReorganizationsCorporations, Partnerships,Estates &amp; Trusts 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.The Big Picture (s
UCM - ACCT - 4130
Chapter 10Partnerships: Formation,Operation and BasisCorporations, Partnerships,Estates &amp; Trusts 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.1