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402_502_hw2
Course: AMATH 402, Spring 2010School: Washington
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402/502 AMATH Homework 2 DUE at time and place posted on website 1 Problem 3.1.3 2 Problem 3.2.3 3 Problem 3.2.4 4 Problem 3.3.2 5 Problem 3.4.2 6 Problem 3.4.8 7 Problem 3.4.15 homework The will be graded statistically. Late homework is not accepted. Your homework should be neat and readable (the TA is allowed to subtract points for presentation).
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402/502 AMATH Homework 2 DUE at time and place posted on website
1 Problem 3.1.3 2 Problem 3.2.3 3 Problem 3.2.4 4 Problem 3.3.2 5 Problem 3.4.2 6 Problem 3.4.8 7 Problem 3.4.15 homework The will be graded statistically. Late homework is not accepted. Your homework should be neat and readable (the TA is allowed to subtract points for presentation).
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Washington - AMATH - 402
AMATH 402/502 Homework 3 DUE at time and place posted on website1 In this problem we will study the integrate-and-re model of a neuron. The membrane potential V (t) of the neuron obeys the following dierential equation: dV = Vrest V + RI (t) dtwhere Vre
Washington - AMATH - 402
AMATH 402/502 Homework DUE at time and place posted on website1 Problem 5.2.1 2 Problem 5.2.2 3 Problem 5.2.9 4 Problem 5.2.12. For (c), doing one qualitative sketch of phase portraits is just ne for each of the three cases. 5 Problem 5.3.4 6 Problem 5.3
Washington - AMATH - 402
AMATH 402/502 Homework DUE at time and place posted on website1 Problem 6.3.1 2 Problem 6.3.10, (a-c) only. For the context of part (c) of this problem, we will say that a xed point is a saddle regardless of linearization if you can (1) nd a direction al
Washington - AMATH - 402
AMATH 402/502 Homework DUE at time and place posted on website1 Problem 7.3.1 2 Problem 7.3.4 3 Problem 8.1.6 For (c), choose values of that demonstrate dierent behavior on all sides of the bifurcation(s). That is, just choose the appropriate number of v
Washington - AMATH - 402
AMATH 402/502 Homework DUE at time and place posted on website1 Consider the 2-D linear map xn+1 = Axn , where A =0 1/2 1/2 aa. Find the xed point(s) for any value of the real parameter a. b. Say whether each xed point(s) is stable or unstable when a =
Caltech - MATH - 104
Caltech - MATH - 104
8.1.11 u = a(1 u) uv 2 There is a xed point at (1, 0) for all a and k . Nullclines curves are given by u= a a + v2 and u= a+k v v = uv 2 (a + k )v Figure 1: Nullcline Curves as the parameters are varied These curves intersect whena+k a = 2 a+v v(0.1)s
Caltech - MATH - 104
Caltech - MATH - 104
Harmonic Oscillator (pendulum)Problem 1. In Strogatz Chapter 6 it was shown that the origin is a nonlinearcenter for the pendulum example. Letx + sin x = 0. (a) Can you prove stability of the origin using linearization? Use an appropriate Liapunov fun
Caltech - MATH - 104
Caltech - MATH - 104
Caltech - MATH - 140A
1CDS 140a: Homework Set 7Due: Wednesday, December 2, 2009. For the rst three questions, consider the mechanical system shown in the Figure below. The mass M slides (without friction) along the curve y = x2 . The mass m hangs by a light rod of length l (
Caltech - MATH - 140A
1CDS 140a: Homework 1 Solutions1. Consider the planar system (x, v ) R2 given by x=v v = x 3(0.1) (0.2)(a) The equilibrium points for the system can be found by setting equations (0.1) and (0.2) equal to 0. from equation (0.1) we get v = 0 and from e
Caltech - MATH - 140A
CDS 140A Solutions to Problems 1,9,10 from Homework 2Ragavendran Gopalakrishnan October 19, 20091. Problem 1. First, verify that the given orbit satises the dierential equation of the system. (t) = 2 tan1 (sinh t) 1 cosh t (t) = 2 1 + sinh2 t = 2 (cosh
Caltech - MATH - 140A
CDS 140A HOMEWORK 3 SCRIBE FILESHAUN MACBRIDE MAGUIREExercise 2. Do all solutions of the system x = x + y + z y = y + 2 z z = 2z converge to the origin as t ? Proof. This system can be written in matrix form d dx = Ax = dt dt x y z = 1 0 0 1 1 0 1 2 2 x
Caltech - MATH - 140A
1. Show that if A is diagonalizable, then det. detdetdetdetdetdetTheorem: So, det 2. Use polar coordinates to solve.iPlugging the last four expressions into the first two gives: (1) (2) Multiply (2) by and subtract (1) byMultiply (1) byand ad
Caltech - MATH - 140A
Solution Scribe: Evan GawlikCDS 140a Problem Set 5November 6, 20098) The linearization at the origin is given by x y with A= 1 1 . =A x yThe eigenvalues of A are = i. When < 0, the origin is a stable spiral in the linearized system, in agreement with
Caltech - MATH - 140A
Problem 1:Position of M: (x(t),x2 (t) Position of m: (x(t) + l sin(),x2 (t) l cos() Velocity of M: (x, 2xx) Velocity of m: (x + l cos() ,2 x x + l sin() ) 1 KE = 2 M VM + 1 m Vm 2 1 = 1 M (x2 + 4x2 x2 ) + 2 m (x + l cos() )2 + (2xx + l sin() )2 ) 2 1 1
Caltech - MATH - 140A
Problem 1: The position of M is qM = (x(t), x2 (t), the position of M is qm = (x(t) + l sin , x2 (t) l cos ). So the velocity vM = qM = (x, 2xx), = (x + l cos , 2xx + l sin ). vm = qm The kinetic energy is KE =1 1 1 + m vm 2 = M (x2 + 4x2 x2 ) + m(x + l
N. Illinois - ACCY - 450
Chapter 06 - Taxable Income from Business OperationsChapter 6 Taxable Income from Business OperationsQuestions and Problems for Discussion 1. a. The annual business cycle for a plant and garden center might end in the late autumn indicating an October 3
N. Illinois - ACCY - 450
Chapter 07 - Property Acquisitions and Cost Recovery DeductionsChapter 7 Property Acquisitions and Cost Recovery DeductionsQuestions and Problems for Discussion 1. The tax law presumes that no expenditure is deductible unless a specific statutory rule a
N. Illinois - ACCY - 450
Chapter 08 - Property DispositionsChapter 8 Property DispositionsQuestions and Problems for Discussion 1. a. Section 1231 asset. b. Capital asset. c. Section 1231 asset.d. Capital asset. e. Noncapital asset. f. Capital asset.g. Capital asset. h. Secti
N. Illinois - ACCY - 450
Chapter 10 - Sole Proprietorships, Partnerships, LLCs, and S CorporationsChapter 10 Sole Proprietorships, Partnerships, LLCs, and S CorporationsQuestions and Problems for Discussion 1. A sole proprietorship is not a legal entity but merely a business ac
N. Illinois - ACCY - 450
Chapter 11 - The Corporate TaxpayerChapter 11 The Corporate TaxpayerQuestions and Problems for Discussion 1. Individuals who perform professional services for clients (doctors, attorneys, CPAs, etc.) cannot avoid liability for malpractice by operating a
N. Illinois - ACCY - 450
Chapter 14 - The Individual Tax FormulaChapter 14 The Individual Tax FormulaQuestions and Problems for Discussion 1. AGI includes net profit from sole proprietorships, net income from rental real estate, and net business income earned by passthrough ent
N. Illinois - ACCY - 450
Chapter 17 - Tax Consequences of Personal ActivitiesChapter 17 Tax Consequences of Personal ActivitiesQuestions and Problems for Discussion 1. The basic income recognition rule is that income from whatever source derived is subject to tax. Under this in
N. Illinois - ACCY - 433
Chapter 01 - Intercorporate Acquisitions and Investments in Other EntitiesCHAPTER 1 INTERCORPORATE ACQUISITIONS AND INVESTMENTS IN OTHER ENTITIES ANSWERS TO QUESTIONS Q1-1 Complex organizational structures often result when companies do business in a com
N. Illinois - ACCY - 433
Chapter 02 - Reporting Intercorporate InterestsCHAPTER 2 REPORTING INTERCORPORATE INTERESTS ANSWERS TO QUESTIONS Q2-1 (a) An investment in the voting common stock of another company is reported on an equity-method basis when the investor is able to signi
N. Illinois - ACCY - 433
Chapter 03 - The Reporting Entity and Consolidated Financial StatementsCHAPTER 3 THE REPORTING ENTITY AND CONSOLIDATED FINANCIAL STATEMENTS ANSWERS TO QUESTIONS Q3-1 The basic idea underlying the preparation of consolidated financial statements is the no
N. Illinois - ACCY - 433
Chapter 04 - Consolidation of Wholly Owned SubsidiariesCHAPTER 4 CONSOLIDATION OF WHOLLY OWNED SUBSIDIARIES ANSWERS TO QUESTIONS Q4-1 An adjusting entry is recorded on the company's books and causes the balances reported by the company to change. Elimina
N. Illinois - ACCY - 433
Chapter 05 - Consolidation of Less-Than-Wholly Owned SubsidiariesCHAPTER 5 CONSOLIDATION OF LESS-THAN-WHOLLY OWNED SUBSIDIARIES ANSWERS TO QUESTIONS Q5-1 The noncontrolling interest is reported as a separate item in the stockholders equity section of the
N. Illinois - ACCY - 433
Chapter 06 - Intercompany Transfers of Services And Noncurrent AssetsCHAPTER 6 INTERCOMPANY TRANSFERS OF SERVICES AND NONCURRENT ASSETS ANSWERS TO QUESTIONS Q6-1 Profits on intercorporate sales generally are considered to be realized when the affiliate t
N. Illinois - ACCY - 433
Chapter 07 - Intercompany Inventory TransactionsCHAPTER 7 INTERCOMPANY INVENTORY TRANSACTIONS ANSWERS TO QUESTIONS Q7-1 All inventory transfers between related companies must be eliminated to avoid an overstatement of revenue and cost of goods sold in th
N. Illinois - ACCY - 433
Chapter 08 - Intercompany IndebtednessCHAPTER 8 INTERCOMPANY INDEBTEDNESS ANSWERS TO QUESTIONS Q8-1 A gain or loss on bond retirement is reported by the consolidated entity whenever (a) one of the companies purchases its own bonds from a nonaffiliate at
N. Illinois - ACCY - 433
Chapter 09 - Consolidation Ownership IssuesCHAPTER 9 CONSOLIDATION OWNERSHIP ISSUES ANSWERS TO QUESTIONS Q9-1 Preferred stock of the subsidiary is eliminated in the consolidation process in a manner comparable to that used in eliminating the common stock
N. Illinois - ACCY - 433
Chapter 10 - Additional Consolidation Reporting IssuesCHAPTER 10 ADDITIONAL CONSOLIDATION REPORTING ISSUES ANSWERS TO QUESTIONS Q10-1 The balance sheet, income statement, and statement of changes in retained earnings are an integrated set and generally n
N. Illinois - ACCY - 433
Chapter 11 - Multinational Accounting: Foreign Currency Transactions And Financial InstrumentsCHAPTER 11 MULTINATIONAL ACCOUNTING: FOREIGN CURRENCY TRANSACTIONS AND FINANCIAL INSTRUMENTS ANSWERS TO QUESTIONS Q11-1 Indirect and direct exchange rates diffe
N. Illinois - ACCY - 433
Chapter 12 - Multinational Accounting: Issues in Financial Reporting and Translation of Foreign Entity StatementsCHAPTER 12 MULTINATIONAL ACCOUNTING: ISSUES IN FINANCIAL REPORTING AND TRANSLATION OF FOREIGN ENTITY STATEMENTS ANSWERS TO QUESTIONS Q12-1 Ex
N. Illinois - ACCY - 433
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N. Illinois - ACCY - 433
Chapter 14 - SEC ReportingCHAPTER 14 SEC REPORTING ANSWERS TO QUESTIONS Q14-1 The basis of the SEC's legal authority to regulate accounting principles stems from the Securities Exchange Act of 1934. In the 1934 Act, the SEC was given the legal responsibi
N. Illinois - ACCY - 433
Chapter 15 - Partnerships: Formation, Operation, and Changes in Membership1 CHAPTER 15 PARTNERSHIPS: FORMATION, OPERATION, AND CHANGES IN MEMBERSHIP ANSWERS TO QUESTIONS Q15-1 Partnerships are a popular form of business because they are easy to form (inf
N. Illinois - ACCY - 433
Chapter 16 - Partnerships: Liquidation1 CHAPTER 16 PARTNERSHIPS: LIQUIDATION ANSWERS TO QUESTIONS Q16-1 The major causes of a dissolution are: a. b. c. d. e. Withdrawal or death of a partner The specified term or task of the partnership has been complete
N. Illinois - ACCY - 433
Chapter 17 - Governmental Entities: Introduction and General Fund AccountingCHAPTER 17 GOVERNMENTAL ENTITIES: INTRODUCTION AND GENERAL FUND ACCOUNTING ANSWERS TO QUESTIONS Q17-1 A fund is an independent fiscal and accounting entity with a self-balancing
N. Illinois - ACCY - 433
Chapter 18 - Governmental Entities: Special Funds and Government-Wide Financial Statements1 CHAPTER 18 GOVERNMENTAL ENTITIES: SPECIAL FUNDS AND GOVERNMENT-WIDE FINANCIAL STATEMENTS ANSWERS TO QUESTIONS Q18-1 A governmental entity would use a special reve
N. Illinois - ACCY - 433
Chapter 19 Not-for-Profit EntitiesCHAPTER 19 NOT-FOR-PROFIT ENTITIES ANSWERS TO QUESTIONS Q19-1 Initially, tuition scholarships are included in revenue for the period in order to measure fully the revenue obtainable. If the university requires an employm
N. Illinois - ACCY - 433
Chapter 20 - Corporations in Finanacial Difficulty1 CHAPTER 20 CORPORATIONS IN FINANCIAL DIFFICULTY ANSWERS TO QUESTIONS Q20-1 The nonjudicial actions available to a financially distressed company are debt restructuring arrangements and creditor's commit
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Moving from Logical Model to Physical ModelMigration OptionsEntity to Table "Survival" Guidelines An Entity Should Survive as/into a Table if: - There are Columns that Describe the PK of the Table. - There is a Business Reason (Business Rule) to Rational
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Communications, Networks, and Communications, the Internet theTele/Data Communications_ _ _ _ _ _ _Telecommunications1Tele/Data CommunicationsTelecommunication Definition s Communication Processors s Common Protocol Models s Bandwidth. s EDI and Web
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Technical Foundations of Technical Information Systems InformationData Resources_ _ _ _ _ _ _Data Resources1Flat File Data Resourcess_ _ _ _ _ _ _Issues with Traditional or Flat Files Issues Why Move to RDB Why Unmanaged Data Environment Process
N. Illinois - OMIS - 425
_Information Systems Foundations Information_ _ _ _ _ _eCommerce and eBusiness eBusinesseCom and eBusiness1Electronic Commerce/Businesss_ _ _ _ _4Benefits of Internet UseReduced Communications/Agency Costs Replace private networks with the pu
N. Illinois - OMIS - 425
Technical Foundations of Technical Information Systems Information_ _ _ _ _ _ _Computers and Information ProcessingComputers and Information Processing1Bits, Bytes, and Binarys_ _ _ _ _ _ _Character RepresentationA Bit is a single Binary Digit.0
N. Illinois - OMIS - 425
Information Systems FoundationsMethods for Building Systems_ _ _ _ _ _ _Methods of Building Information Systems Methods1Methods for Building SystemsObjective of Systems Methods s Structured Systems Development Structured SDLC SDLC s Unstructured Sys
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Technical Foundations of Technical Information Systems InformationInformation Systems Software_ _ _ _ _ _ _Information Systems Software1A Software Definitions_ _ _ _ _2Detailed instructions that either control Detailed control and/or direct the o
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