...MATH 275: Calculus III Lecture Notes by Angel V. Kumchev Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Lecture 1. Lecture 2. Lecture 3. Lecture 4. Lecture 5. Lecture 6. Lecture 7. Lecture 8. Lecture 9. Lecture 10. Lecture 11. Lecture 12. Lecture 13. Lecture 14. Lecture 15. Lecture 16. Lecture 17. Lecture 18. Lecture 19. Lecture 20. Lecture 21. Lecture 22. Lecture 23. Three-Dimensional Coordinate Systems . . . . . . . . . . . . . . . . . . . . . iii 1 Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Lines and Planes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Vector Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Space Curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Multivariable Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Surfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 Partial Derivatives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 Directional Derivatives and Gradients . . . . . . . . . . . . . . . . . . . . . . . 77 Tangent Planes and Normal Vectors . . . . . . . . . . . . . . . . . . . . . . . 81 Extremal Values of Multivariable Functions . . . . . . . . . . . . . . . . . . . 91 Lagrange Multipliers* . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 Double Integrals...
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...portfolios. The duration of portfolio A is 3.659 and the duration of portfolio B is 3.541. Since that the investor is kind of concerned about the volatility in the market, portfolio B is more adequate because it has a short duration, which means it’s less sensitive to the changes in interest rate. 2. A. The durations of Portfolio A and B are 3.659 and 3.541. Multiplying their duration with their prices, which are both 100 millions, gives us the dollar duration of these two portfolios. The dollar durations are 365929587.04 and $354071810.21. B. The loss of the value of portfolio A cause by 1 basis point up in the interest rate is -$365929587.04 *0.0001=-$36592.96. The loss of the value of portfolio B cause by 1 basis point change in the interest rate is -$$354071810.21*0.0001=-$35407.18 C. The conclusion reached in this part is consistent with that in exercise 1. With 1 basis point change in interest rate, the value of portfolio B decrease less that portfolio A, which means portfolio B is better immune to the risk of interest rate. 3. A. The price of the 7-year bonds paying 2.5% semiannually is $81.12. The price of the 7-year bonds paying 10% semiannually is $122.78. The number of the 7-year bonds paying 2.5% semiannually the investor has to short is ($50 million-$100 million*0.25)/ $81.12=308185. The number of the 7-year bonds paying 10% semiannually the investor has to short is ($50 million-$100 million*0.4)/$112.78=88668 B. The new weights for the instruments...
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...Slide19.12 Lets take for example Bank A which is a TRIPLE AAA RATED international bank in UK. They wish to raise 10M to finance their floating or variable Eurodollar loans. They have 2 options ■ issuing 5 year fixed bonds at 10% or Floating rate at LIBOR. ■ It would make more sense for them to issue floating rate LIBOR because the loans that they have are floating rate. Slide 19.13 Lets look at Firm B it’s a BBB rated US company, it needs 10M to finance an investment with a 5 year economic life. They have 2 options for financing - Issuing 5 year fixed rate bond at 11.75 ( BBB rated , higher risk then AAA) - Alternatively they can issue 5 year floating-rate notes at LIBOR + .5% percent. They would prefer the fix because they would want stability Slide 19.14 Here is the summary of their borrowing opportunities, Bank A would prefer LIBOR and Firm B 11.75 Fix Slide 19.15 Speculating that interest rates will go up in the future, Bank A starts to look at better opportunities , it gets the following offer from SWAP BANK. Slide 19.16 Instead of paying rates at LIBOR , pay us LIBOR less (.125) and in the meantime deposit with us 10M and we will pay you 10.375 rate interest for 5 years. Remember Bank A has excellent credit and it can burrow from outside at 10% fix. So what Bank A does is burrow 10M from outside at 10 % fix and get 10.375 and in the meantime have an extra .125 discount on their LIBOR rate this will...
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... Operator [Operator Instructions]. And our first question comes from Tim Casey with BMO. Please go ahead. Q - Tim Casey Thanks. Question for Stephane, could you talk a little bit about the progression of growth you’re expecting through the quarters this year, particularly in light of some of the macro trends you talked about, but also in terms of price increases which had been offset by some adjustments you had to make last year, just curious of how those will float through to ‘16? A - Stephane Bello Good morning and thanks for the question. Just to remind where we start from, we achieved organic growth of about 1.5% and our guidance for next year is for growth of 2% to 3% excluding recovery, so that would be a 50 to 150 basis point step-up on the growth performance we achieved this year. Now as you look at the progression of growth over the course of the year, there is a couple factors to keep in mind, one is exactly what you mentioned Tim is this commercial adjustments as we continue to make as we are migrating or legacy foreign exchange desktops to our new platform. The bulk of that impact is behind us, --...
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...organizations. The company will have 15 to 20 employees. Since many of our clients will be paying with funds provided by government sources, we have decided it would be appropriate to have an ethics program in place before we start offering services. A company must have an effective ethics program to ensure that all employees understand its values and comply with the policies and codes of conduct that create its ethical culture (Ferrell, Ferrell & Fraedrich, 2008, p. 211). In order to develop an effective ethics program, it must contain certain items. It must first have a code of conduct to establish what is and is not acceptable behavior and to set a general corporate tone as to how employees are expected to conduct themselves. Second, it should have a high level corporate officer in charge of the program. This will also help demonstrate the importance of ethics to the corporation. Third, an effective and ongoing ethics training program is necessary to ensure all employees are aware of what is expected of them. Fourth, a system to monitor and enforce ethical standards must be in place in order to hold employees accountable for their actions and lastly, it must have a mechanism to modify and improve the program when deficiencies appear. When developing our code of conduct, we will use a values orientation instead of a compliance orientation. A compliance orientation approach sets a negative tone, as it sets regulations and rules and the punishment for violating them...
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...QUESTIONNAIRE FOR EMPLOYEE Gender Male Female SECTION: 1 (Code of Conduct) Q 1: I know every rights, duty and obligation towards my employer and my organization. A. Strongly Agree B. Agree C. Neutral D. Disagree E. Strongly Disagree Q 2: The organization follows the “Ethical Code of Conduct” and uses the moral codes included in the Code of Conduct appropriately. A. Strongly Agree B. Agree C. Neutral D. Disagree E. Strongly Disagree Q3. Do you think Code of conduct of Grameenphone describes how it shall operate and it contributes to continuous success? A. Yes B. No C. Not applicable SECTION: 2 (Human Rights) Q 1: Do you think that respect the personal dignity, privacy and rights of each individual are included in Ethical Code of conduct in Grameenphone. A. Never B. Insignificant times C. Often D. Regular basis Q 2: While working in the organization do you think there is violation of human rights? A. Yes B. No C. Often D. Not applicable Q 3: The code of conducts of Grameenphone appreciate diversity, culture, and other differences in consideration. A. I agree with the statement B. I am neutral about the...
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...Ethical egoism is the normative ethical position that moral agents ought to do what is in their own self-interest 1. Ethical egoism holds that actions whose consequences will benefit the doer can be considered ethical 2. Ethical egoism does not, however, require moral agents to harm the interests and well-being of others when making moral deliberation; e.g. what is in an agent's self-interest may be incidentally detrimental, beneficial, or neutral in its effect on others 3. In the words of James Rachels, "Ethical egoism [...] endorses selfishness, but it doesn't endorse foolishness."[2] 4. ------------------------------------------------- Forms of ethical egoism[edit] 5. Ethical egoism can be broadly divided into three categories: individual, personal, and universal. An individual ethical egoistwould hold that all people should do whatever benefits "my" (the individual) self-interest; a personal ethical egoist would hold that he or she should act in his or her self-interest, but would make no claims about what anyone else ought to do; auniversal ethical egoist would argue that everyone should act in ways that are in their self-interest ------------------------------------------------- Justifications[edit] Philosopher James Rachels, in an essay that takes as its title the theory's name, outlines the three arguments most commonly touted in its favor:[10] * "The first argument," writes Rachels, "has several variations, each suggesting the same general...
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...highest of standards. This is especially true for someone who teaches young children. According to the NAEYC’s Code of Ethical Conduct, "P-1.2—We shall not participate in practices that discriminate against children by denying benefits, giving special advantages, or excluding them from programs or activities on the basis of their race, religion, sex, national origin, or the status, behavior, or beliefs of their parents” (Naeyc.org). If the code gets violated it will not end up positive for either party involved. I work for a local Head Start program in Guthrie Oklahoma. Every teacher must uphold the ethical code of conduct. If a teacher is found violating the code he or she must answer for the violation. Incident Description In the spring of last year the four year old teacher had a child in her class who had a behavioral problem. The teacher tried everything that she could to get the child to behave. The child would have good days and bad days. Towards the end of the school year the good days were few and far between. The teacher decided to tell the child’s parent that he was no longer allowed to be in her class. This is not only a ethical violation but it is also a Head Start violation. She told the parent that the child was not allowed to be at graduation because of his behavior. Outcome The Head Start program that I work for makes it a point to follow all ethical rules and regulation. They go above and beyond to make sure that every child gets the best education in a healthy...
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...Summary The question of whether an employee can be terminated for off-duty activity can be answered in numerous ways. Some occupations require employee carry a firm moral code even when they are not present at workplaces such as priests, CEOs, and other public or civil servants while other occupations are more lax or do not even require anything more of their employees rather than to show up on time and perform at expected performance levels. The varying levels of standards, in regards to moral code, with the multitude of industries pose the question of what the underlining basis of these rules are. Because as an employer or manager contemplates the reasoning behind the termination of an employee, there must be a general rule of thumb to abide by in order to make the decision. The rules that the employer or manager relies on are called ethics. When an employee is considered for termination, an ethical approach from the employer’s side as well as the employee’s side must be apparent and clear. In order to better understand the role ethics play in employee relations, we must have a thorough understanding of what ethics is and it’s importance in the business environment. Furthermore, in the context of employee termination, we must also understand the role of ethics from the employer side as well as the employee side to appreciate and solidify firm reasons for termination. Ethics is defined by Mark S. Swartz as a set of universal moral standards: which includes: respect, trustworthiness...
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...Ethical Leadership: the Call of the Times The recent global economic crisis and the various political changes that challenged existing governments show the need to change our concept of leadership. Leadership challenges in the present times are reflective of the ever changing needs of our society. Leaders must be able to respond and address the needs of its constituents. Our society is ever changing and the people’s consciousness is also changing. And we continually face these challenges in our work place as well. Ethical leadership seeks to address the gap in the current leadership context. What is Ethical Leadership? Ethical signifies it is based on some moral ethics. What would be the basis of this ethics? There has to be some form of standard or expected outcome from the type of leadership. According to Freeman and Stewart, many executives and business thinkers believe that it is a matter of leaders having good character and the right values. Brown and Trevino define ethical leadership as “the demonstration of normatively appropriate conduct through personal actions and interpersonal relationships, and the promotion of such conduct to followers through two-way communication, reinforcement, and decision-making” (Brown et al., 2005: 120). Another definition is that ethical leadership is a stewardship that preserves the aspirations and culture of the organization. Whatever the definition is, this type of leadership gives emphasis to the impact of the type of leadership...
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...FOUNDATION DEGREE IN HEALTH AND SOCIAL CARE MANAGEMENTETHICS, LEADERSHIP AND INTERPROFESSIONAL WORKING IN HEALTH AND SOCIAL CAREHS4501-40Describe The Importance Of Quality Leadership And The Difference Between Leadership And Management Within A Health And Social Care Environment, And Explain The Ethical Value Framework Leaders Of Services Should Adhere To STUDENT ID: 213599 06/05/2011 WORD COUNT 3,606 | | Describe The Importance Of Quality Leadership And The Difference Between Leadership And Management Within A Health And Social Care Environment, And Explain The Ethical Value Framework Leaders Of Services Should Adhere To | | This essay will discuss the importance of quality leadership, the diversities between leadership and management within health and social care and explain the ethical frame work leaders of services should adhere to. Every organization strives to be successful regardless of the type of business it conducts; no organization can be fully successful and productive without good quality leadership. Haris and Ogbonna (2000) discovered that although leadership may not completely affect the organisations achievement, the quality of leadership does affect the workers of the organisation who in turn have a substantial affect on the organiation. (cited in Haracre, et al 2011) If workers are contented and without stress in their work they will be more likely to be enthuiastic...
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...data, ideas or words, either quoted directly or paraphrased. We also certify that this assignment was prepared by us specifically for this course. Student’s Signatures ___________________________________________________ ___________________________________________________ ___________________________________________________ ___________________________________________________ Table of Contents Definition of Problems 3 The Lack of Ethical Culture and Stakeholder Orientation 4 Low Board’s Professionalism 5 Poor Trust and Excessive Emphasis on Marketing 5 Identification of Possible Action Alternatives 6 Analysis of Each Alternative 7 Doing Nothing 7 Hiring a New Board of Directors 7 Developing a New Code of Conduct 8 Developing a New Organizational Strategy to Reconstruct the Ethical Climate 10 Decision 10 Implementation 11 Evaluation 13 Conclusion 14 References 15 Case Decision Making Paper- Red Cross In a world of intensive competition and numerous marketing challenges, maintaining trust in the organization-stakeholder relationships is an extremely difficult task. Numerous organizations have failed to achieve the desired strategic...
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...Ethical Code of Conduct Name Course Lecturer Date Ethical Code of Conduct Ethical conduct of employees All employees in this company must follow the following Codes of Conduct. * They should know the mission of the company and promote its progress by meeting the set standards and duly observing all our regulations. * Read well, comprehend and duly obey the organization’s procedures, both national and international. Where they do not understand the procedures, they should seek guidance from the relevant departments. * Offer their talents and total endeavors to the company’s jobs. They should dedicate their time towards ensuring that they deliver as per the expectations of their profession. Laziness will not be at all costs tolerated. * Share knowledge and acquaintance towards advantage of the company and its stakeholders so as to expand its target market. * Since our company serves clients with an adherence to ADA, EEOC and Civil rights, employees are expected to abide by these regulations. * They should meet the commitments of the company in a sincere and sensible manner at all times. * Share the mutual liability to the organization for the individual expansion and progress of the company. * They should take part in making an environment full of collaboration and teamwork in all aspects. * They should desist from judging others without basis and avoid discrimination during working irrespective of the difference in race, gender...
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...Week Three Checkpoint: Code of Ethics bus/210 Please post your response to the following Checkpoint in the Assignments section of eCampus. Using Chapter 5 of Introduction to Business as a resource: Imagine that you are starting your own company. What will be the ethical code of your company? In a 200- to 300- word response, draft an ethical code of conduct listing the rules and principles that your company will use in decision-making. This may involve how you operate your business on a daily basis, how you treat employees, how customers are handled, etc. Provide a brief explanation of why you selected each rule and/or principle. This would be my company’s code of conduct that I would expect each one of my employees should fallow. To ensure that all my employees comply with my company’s code of conduct this agreement will be signed by each employee. Each employee shall protect all confidential information. Employee’s has an obligation to safeguard the companies, customers, clients and other confidential information, this includes during employment and after resignation / termination. Employees must not misuse company property. Security of company property is of vital importance, company property includes not only tangible property, company vehicles, desks and computers, but also intangible property such as proprietary and confidential information. Employees should only have a professional relationship with customers. It is important to realize that...
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...mismanagement, and failure can lead to devastating consequences, ending careers and tarnishing reputations. The AccuForm case study reflects the complex nature of business and its relationship to ethical dilemmas, corporate culture, and managerial competence and responsibility. With a variance in personalities, motives, and expectations companies such as AccuForm struggle to maintain an environment in which integrity is upheld and not usurped by individual greed or contradictory values. This case study illustrates the challenges within businesses and confirms the need for organizations to seriously and meticulously evaluate company policies and systems, clearly define managerial goals and expectations, and assist in the edification of the entire workforce. To understand the implications of this case, one must analyze the organization’s partnerships. Undoubtedly, the partnership between AccuForm and CreaseFree created a monumental challenge that clearly reflects how systems and culture can be a detriment to the productivity of a company. Entering into a joint venture was a very costly decision for AccuForm. The immediate challenge faced by the company was the obvious dichotomy of the business practices and belief systems of the organizations. This challenge was most significant because it was the basis for all of the ignoble actions that would soon follow. The corporate cultures were significantly different. For example, CreaseFree had a traditional Chinese culture with control systems...
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