Paper 1.4: QUANTITATIVE METHODS Unit – 1 Basic Mathematical concepts : Nature of quantitative analysis in the practice of management – problem definition – Models and their development – Concept of trade off – Notion of constants – Variables and function – Linear and Non-linear – Simple examples. Graphical representation of functions and their application – Concepts of slope and its relevance – Plotting graphs of functions. Use of functional relationships to understand elasticity of demands. Productive
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Calculus I Midterm 2 November 2013 2 1. (6 marks) Find the following limit: lim (1 + sin 7 x ) cot 5 x x →0 + ( 2. (3 marks) Find the derivative of y = 3 x + 5 2 ) sec x Calculus I Midterm 2 November 2013 3 3. (Total 8 marks) Answer each question in the space provided. Do NOT simplify your answer. x2 − x 3 dy of the function f ( x) = ln( x3 ) a) Find dx e [ ( )] b) If f ( x) = arcsin x c) Find ( ( d sin 2 dx d) If f ( x)
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and integration) was developed to improve this understanding. Differentiation and integration can help us solve many types of real-world problems. 1. We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost‚ strength‚ amount of material used in a building‚ profit‚ loss‚ etc.). 2. Derivatives are met in many engineering and science problems‚ especially when modelling the behaviour of moving objects. 3. Calculus is also a base of economics. 4. It is
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disciplines.Differential equations arise in many areas of science and technology: whenever adeterministicrelationship involving some continuously varying quantities (modelled byfunctions) and their rates of change in space and/or time (expressed as derivatives) isknown or postulated. This is illustrated inclassical mechanics‚ where the motion of a body is described by its position and velocity as the time varies.Newton’s Lawsallowone to relate the position‚ velocity‚ acceleration and various forces acting
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DuPont Analysis breaks out ROE into 3 sub-components: Profit Margin‚ Total Asset Turnover and Equity Multiplier. Maximizing some/all of these subcomponents would result in a better ROE. The ‘Profit Margin’ ratio is a measure of operational efficiency of a firm. Ideal value for this ratio is 100%‚ which can be achieved if Sales are equal to Net Income. However‚ in the business that Whole Foods is in‚ this ratio will not be anywhere near 100%. One place Whole Foods can increase ‘Profit margin’
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TPG4160 Reservoir Simulation 2012 Lecture note 1 page 1 of 11 INTRODUCTION TO RESERVOIR SIMULATION Analytical and numerical solutions of simple one-dimensional‚ one-phase flow equations As an introduction to reservoir simulation‚ we will review the simplest one-dimensional flow equations for horizontal flow of one fluid‚ and look at analytical and numerical solutions of pressure as function of position and time. These equations are derived using the continuity equation‚ Darcy’s equation
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Advanced Security Analysis and Portfolio Management (EF4320) Spring 2014‚ by Dr. Dayong Huang Office: AC2 5110; Tel: 34429230; email: dayhuang@um.cityu.edu.hk; Email is preferred. Office hours: Tuesday 10:00-11:30 or Wednesday 10:00-11:30 or by appointment Teaching Assistant: Fred Chan‚ Yiufchan7@cityu.edu.hk‚ P7706 AC1. Please email Fred for general inquiries and hand in group homework assignments and trading records to Fred by due date. Aims and Objectives: This course is aimed to provide
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Calculus provides the language of economics and the means by which economists solve problems. Calculus is especially significant in illustrating what a leading economist calls a key principle of economics. Calculus focuses heavily on functions and derivatives. In economic research they often examine functional relationships for example relationship between the dependent variable income and various predictors‚ or independent variables‚ such as education and experience. Its benefit in economics is that
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control 500 shares instead of just 10. 2. Most companies use debt to finance operations. By doing so‚ a company increases its leverage because it can invest in business operations without increasing its equity. For example‚ if a company formed with an investment of $5 million from investors‚ the equity in the company is $5 million - this is the money the company uses to operate. If the company uses debt financing by borrowing $20 million‚ the company now has $25 million to invest in business operations
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Share-Based Payment. Contents: What is the scope of Statement 123(R)? What plans does it cover?...............................3 Is the plan compensatory for financial accounting purposes? .....................................3 Does the plan create equity interests or liabilities? .........................................................4 If the plan is compensatory‚ when is compensation measured? ..............................5 If the plan is compensatory‚ how is compensation measured? .....
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