COURSE NOTES Financial Mathematics MTH3251 Modelling in Finance and Insurance ETC 3510. Lecturer: Prof. Fima Klebaner School of Mathematical Sciences Monash University Semester 1‚ 2012 Contents 1 Lecture 1. Introduction. 1.1 Prices of stocks as functions of time . . . . . . . . . . . . . . . . . . 1.2 Simulated functions of time that look like stock prices . . . . . . . . 1.3 Example of modelling using Random Variables . . . . . . . . . . . . 2 Lecture 2. Random variables. Revision. 2.1 Random
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CIS/319 COURSE NOTES WK 1 INFORMATION SYSTEMS SYSTEMS DEVELOPMENT SYSTEMS ANALYSIS IT PROFESSIONALS WK 2 INPUT DEVICES OUTPUT DEVICES PROCESSING DEVICES STORAGE DEVICES NETWORK DEVICES WK 3 SOFTWARE ACQUISITION OPERATING SYSTEMS DATABASE MANAGEMENT SYSTEMS NETWORK TOPOLOGY PROGRAMMING LANGUAGES SOFTWARE APPLICATIONS WK 4 DATABASE STRUCTURE NETWORK OPERATING SYSTEM DATABASE DEVELOPMENT DATABASE ADMINISTRATION WK 5 NETWORK MEDIA NETWORK CONNECTIVITY
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such that the matrix is the augmented matrix of a system which admits a solution. 2 3 4 6 h 7 2. (1.2; 12) Find the general solutions of the system whose augmented matrix is 1 −7 0 6 5 0 0 1 −2 −3 −1 7 −4 2 7 1 −2 4 3. (1.3; 17) Let a1 = 4 ‚ a2 = −3 ‚ b = 1 . For what −2 7 h value(s) of h is b in the plane spanned by a1 and a2? 4. (1.4; 15) Let A = b1 2 −1 and b = . Show that the equation −6 3 b2 Ax = b does not have a solution for all possible b‚ and describe the set
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Queuing problem of a Bank Ⅰ Introduction& problem definition The queue phenomenon in the banking offices is either a normal or a boring issue that should be solved properly in order to keep the clientele resources. The student always lined up in school campus bank. It is a familiar phenomenon in PolyU daily. In operational research‚ the queuing theory is a very popular topic. It is widely used in some industries‚ such as computer network‚ logistics industry etc.(Wikipedia‚ 2013). There is a series
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Section 1.2 (Page 87) (Calculus Book): 14‚ 23‚ 26‚ 29‚ 30‚ 31‚ and 32 14. limt→1t3+t2-5t+3t3-3t+2 =limt→1t3+t2-5t+3t3-t2+t2-t-2t+2 =limt→1t3-t2+2t2-2t-3t+3t2t-1+tt-1-2t-1 =limt→1t2t-1+2tt-1-3t-1t2+t-2t-1 =limt→1t2t-1+2tt-1-3t-1t-2t-1 =limt→1t-1t2+2t-3t-2t-1 =limt→1t2+3t-t-3t2+2t-t-2 =limt→1tt+3-1t+3tt+2-1t+2 =limt→1t+3t-1t+2t-1 =limt→1t+3t+2=1+31+2=43 23 limy→6y+6y2-36=limy→6y+6y+6y-6 ⟹limy→61y-6=16-6=10=undefined ∴limit doesn’t exist 26 limx→43-xx2-2x-8=limx→43-xx2-4x+2x-8=limx→4 3-xxx-4+2x-4
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on times when demand is low due to the fixed costs of the company. Probability of a favorable market is 60%. The company has a few couple of choices in the plans for expanding the company‚ and after some deliberation‚ they have come up with the following decisions: 1) Expand with a Large Factory‚ having an estimate increase in income of P11‚000 on a good demand and a loss of P1000 on a bad demand. 2) Expand with a Medium Factory‚ having an estimate increase in income of P8‚000 on a good demand and
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Call 0 for One.Tel by Corine Tay‚ Krishnasruthi Srivalsan‚ Tan Huijie‚ Teng Yun Ting‚ Yee Guan Wei and Yong Lin Lin under the supervision of Professor Mak Yuen Teen and Dr Vincent Chen Yu-Shen. The case was developed from published sources solely for class discussion and is not intended to serve as illustrations of effective or ineffective management or governance. The interpretations and perspectives in this case are not necessarily those of the organisations named in the case‚ or any of their
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Group Assignment MGT1103 Task 1 (a) Problem 1 – Sunny request to increase the production of application processor by providing constant limited resources. For example‚ it is like he is giving 100% input resources but he want 120% of output in return. It is nearly impossible to increase the production when the supporting resources remain unchanged. The functions of management is to Plan‚ Organize‚ Lead and Control. During the planning process‚ Sunny does not taken these important matters into consideration
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World War Z is a film that was released in 2013 and is based on an outbreak of a lethal disease causing humans to turn into vicious‚ feral carnivores. The star of the film‚ Gerry Lane (Brad Pitt)‚ embarks on a worldwide search to find a cure and halt the spread of this infection. In the opening of World War Z‚ an average American family is distressed by alarming news of an unknown lethal contagion that is rapidly spreading across the world. In only a couple days‚ the outbreak has traveled to their
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Arend‚ Ronald-Joseph‚ A. D Co. 297th 513th MI 2014/13/09 Importance of Following Orders The importance of following orders is that if one person breaks off and does whatever they want it can leave others weak and vulnerable. Being in that state‚ others can be subject to extreme conditions and injury. There are reasons why regulations and protocols have been put in the places they have‚ to prevent chaos. There is usually a good reason that an order is given to a subordinate of lower grade
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