Introduction to Modern Algebra David Joyce Clark University Version 0.0.6‚ 3 Oct 2008 1 Copyright (C) 2008. 1 ii I dedicate this book to my friend and colleague Arthur Chou. Arthur encouraged me to write this book. I’m sorry that he did not live to see it finished. Contents 1 Introduction 1.1 Structures in Modern Algebra . . . . . . . . . . . . . . . . . . . . . . . . . 1.1.1 Operations on sets . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1.2 Fields . . . . .
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ASSIGNMENT 6 MA240 College Algebra Directions: Be sure to make an electronic copy of your answer before submitting it to Ashworth College for grading. Unless otherwise stated‚ answer in complete sentences‚ and be sure to use correct English spelling and grammar. Sources must be cited in APA format. Your response should be a minimum of one (1) single-spaced page to a maximum of two (2) pages in length; refer to the "Assignment Format" page for specific format requirements. NOTE: Show your
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Pamantasan ng Lungsod ng Maynila (University of the City of Manila) Intramuros‚ Manila ADVANCED ALGEBRA Submitted by: Madid‚Rohainee G. Submitted to: Dela Cruz‚ Roberto J. Submitted on: July 6‚ 2012 EQUATIONS: 1. x2+y-12=1 (x-1)2+y2=1 2. x2+2y2=4 x-y-1=0 3. 4x2+y2=1 x2+4y2=1 ------------------------------------------------- Blitzer‚ Robert. “Algebra For College Students 2nd Ed.” 1994 p. 736 EQUATIONS: 1. 4x2+9y2=36 2x2-9y2=18 2. x2+y2=1 x2-4y2=16
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Put yourself in the shoes of a twenty three year old. They have just graduated with their bachelor’s degree. They do not have to worry about school any longer‚ no longer have to attend classes‚ or worry about not remembering the answer to a question on an exam.However‚ their debt in student loans will follow them until they are in their mid fourties. They will not want to eat stably‚ purchase good clothes. They may miss electricity bills‚ or struggle to keep a cheap apartment as it is. They will
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ple get to decide what they want to do for the rest of their lives‚ but is it worth it? Some people say it is a waste of time and money to go to college. Others say it is a smart investment and the money can eventually be repaid through the education you receive. College is a valuable experience‚ despite the incurring debt‚ because a college degree will lead to more money‚ you’re more likely to find a job‚ and college graduates are able to explore many career options. Although it used to be easy
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_RISKY SITUATIONS_ Identify three types of sensitive information involved with each situation. Then‚ describe three ways in which each information item could be misused or harmed. For each of these‚ note at least one likely finding that you would include in a risk analysis report of the organization. Finally‚ answer the questions at the end. SITUATION 1 - ONLINE BANKING SYSTEM INFORMATION AFFECTED POTENTIAL HARM (RISK) LIKELY FINDING IN RISK ANALYSIS REPORT Personal Information Personal
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Where will I ever need algebra? Where do you need square roots? When will I ever use the Pythagorean Theorem? Will algebra even be ’relevant ’ in the future? These are a few of the many questions that one asks when they have to take an algebra course. This is a required subject in most colleges to further ones education. The first year of algebra is a prerequisite for all higher-level math: geometry‚ algebra II‚ trigonometry‚ and calculus. It is quite true‚ while many people get by without an education
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Instructor: | Your score on this exam is 100 out of 100 .Instructions: This is an open-book and open note examination. You may use your textbook‚ notes‚ and a calculator. Make SURE your popup blocker is turned off. DO NOT LEAVE THIS EXAM FOR ANY REASON... AND DO NOT USE YOUR BROWSER BACK BUTTON. IF YOU DO‚ YOU WILL BE LOCKED OUT. You will have two and a half hours to complete this examination. Take your time and recheck your work when you are finished. Click on the SUBMIT button only when you are finished
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Prior to this College Algebra class‚ I have taken algebra 1‚ algebra 2‚ geometry‚ and precalculus. These math classes have allowed me to gain skills and knowledge that I may apply in your class.I learned the concept of factoring in algebra 1. Factoring was a concept that I struggled to understand. It took me several minutes to determine each factor as I was not given a specific way to do it. However‚ in my sophomore year of highschool‚ I was given certain rules and “tricks” to solve equations that
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Even though college algebra is considered to be an obstacle for many students in terms of degree completion‚ as teachers we must teach useful strategies to motivate our students to find interest in mathematics. Recently‚ there is a psychological problem that we as teachers will face in the future‚ which is that some students believe they were born incompetent in math. However‚ “effort is key to their success and failure is a result of a lack of effort” (Cortes-Suarez‚ 2004). As teachers‚ we must
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