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Words 392

Pages 2

POSITION ANNOUNCEMENT

|POSITION: |ABE/GED Math Teacher (P/T hourly) |

|PRIMARY LOCATION: |DeKalb County |

|DESCRIPTION: |Instructs and supervises students in a variety of areas. |

|ESSENTIAL JOB RESPONSIBILITIES: |• Develops math program and course outlines |

| |• Evaluates students’ progress in attaining goals and objectives. |

|MINIMUM QUALIFICATIONS: |A degree from an accredited college or university *and* completed course comparable with the curriculum taught *OR* |

| |experience/expertise in the area of curriculum taught. Faculty must be credentialed to satisfy all appropriate |

| |accrediting bodies for the courses assigned. |

| | |

| |All applicants must complete an online application, upload resume, unofficial transcripts, and cover letter. Official |

| |Transcripts are required within 60 days of employment.…...

...SOME DIFFERENTIAL CALCULUS YOU MAY NEED 1. THE FIRST DERIVATIVE 1.1 For a power function y = f(x) = Axm , dy/dx = Amxm-‐1 This holds for ALL values of m. If m= 0, i.e.-‐ y = Ax0 (which is equal to A) dy/dx = A0x0-‐1 = 0. So the derivative of a fixed (constant) quantity is zero Examples: a. For a linear function of a single variable: y = f(x) = ax dy/dx = a Thus for a cost function C(q) = 4q, the marginal cost dC/dq = 4 b. For an affine (linear with intercept) function: y = f(x) = c + mx dy/dx = m (note that the c vanishes) For a cost function with a fixed cost, C(q) = 180 + 3q, dC/dq = 3 c. We can also get a function of mixed higher order polynomials y = f(x) = a + bx + cx2+ dx3 dy/dx = b + 2cx + 3dx2 For a cost function C(q) = 150 + 34q3 + 20q2, ......

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...problem and not a calculus problem, so with that being said that’s one reason that I picked this problem. The other reason that I choose this problem is that it seemed interesting to me and it is a story problem. For me personally I struggle with story problems and have difficulty comprehending what the problem is asking me to find. So let me tell what the problem is and then I will explain how I think it is related to the curriculum and a real world phenomenon: A water trough is 10 m long and a cross-section has the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm. If the trough is being filled with water at the rate of 0.2 m3/min, how fast is the water level rising when the water is 30 cm deep? This problem is related to the curriculum because it is about linear approximation and differentials (Stewart). We covered this section is 3.9 in our text book and I thought that this was a changeling section. Now for a real life situation well we can use the math and the problem solving skills that are involved in this problem and apply them to many different situations that involve a rate of change for filling a container with a liquid for example maybe a tanker truck filling with milk or a ships hold filling with natural gas the possibilities are limitless. These types of problems ask you to think about what it is you are finding and what remembering information that you should already know like the area of a......

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...Area is a quantity that expresses the extent of a two-dimensional surface or shape, or planar lamina, in the plane. Area can be understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the amount of paint necessary to cover the surface with a single coat.[1] It is the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept). The area of a shape can be measured by comparing the shape to squares of a fixed size.[2] In the International System of Units (SI), the standard unit of area is the square metre (written as m2), which is the area of a square whose sides are one metre long.[3] A shape with an area of three square metres would have the same area as three such squares. In mathematics, the unit square is defined to have area one, and the area of any other shape or surface is a dimensionless real number. There are several well-known formulas for the areas of simple shapes such as triangles, rectangles, and circles. Using these formulas, the area of any polygon can be found by dividing the polygon into triangles.[4] For shapes with curved boundary, calculus is usually required to compute the area. Indeed, the problem of determining the area of plane figures was a major motivation for the historical development of calculus.[5] For a solid shape such as a sphere, cone, or cylinder, the area of its boundary surface is called the surface...

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...Section 1.2 (Page 87) (Calculus Book): 14, 23, 26, 29, 30, 31, and 32 14.��������→�� ���� +���� −����+�� ���� −����+�� ���� + ���� − ���� + �� = ������ �� ��→�� �� − ���� + ���� − �� − ���� + �� ���� − ���� + ������ − ���� − ���� + �� = ������ �� ��→�� �� �� − �� + �� �� − �� − �� �� − �� ���� �� − �� + ���� �� − �� − �� �� − �� = ������ ��→�� ���� + �� − �� �� − �� ���� �� − �� + ���� �� − �� − �� �� − �� = ������ ��→�� �� − �� �� − �� �� − �� ���� + ���� − �� = ������ ��→�� �� − �� �� − �� ���� + ���� − �� − �� = ������ �� ��→�� �� + ���� − �� − �� = ������ ��→�� �� �� + �� − �� �� + �� �� �� + �� − �� �� + �� �� + �� �� − �� �� + �� �� − �� �� + �� �� + �� �� = = �� + �� �� + �� �� ��+�� ���� −���� = ������ ��→�� = ������ ��→�� 23 ������ ��→�� = ������ ��+�� ��→�� ��+�� ��−�� ⟹ ������ ��→�� �� �� �� = = = ������������������ ∴ ���������� ����������′ �� ���������� �� − �� �� − �� �� ��−�� ���� −����−�� 26 ������ ��→�� = ������ ��→�� ��−�� ���� −����+����−�� = ������ ��−�� ��→�� �� ��−�� +�� ��−�� Page | 1 = ������ ��→�� �� − �� �� − �� −�� �� = = = �� − �� �� + �� �� − �� �� + �� �� × �� �� ∴ ���������� �������� ������ ����������. �� − �� ��−�� �� �� = ������������������; 29������ ��→�� ��−�� ��−�� = ������ ��→�� = ������ ��→�� ��−�� ��+�� ��−�� = ������ ��→�� �� + �� = �� + �� = �� + �� = �� ��−�� 30������ ��→�� ��− �� = ������ �� ��......

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...Project Gutenberg EBook of Calculus Made Easy, by Silvanus Thompson This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.org Title: Calculus Made Easy Being a very-simplest introduction to those beautiful methods which are generally called by the terrifying names of the Differentia Author: Silvanus Thompson Release Date: October 9, 2012 [EBook #33283] Language: English Character set encoding: ISO-8859-1 *** START OF THIS PROJECT GUTENBERG EBOOK CALCULUS MADE EASY *** Produced by Andrew D. Hwang, Brenda Lewis and the Online Distributed Proofreading Team at http://www.pgdp.net (This file was produced from images generously made available by The Internet Archive/American Libraries.) transcriber’s note Minor presentational changes, and minor typographical and numerical corrections, have been made without comment. All A textual changes are detailed in the L TEX source ﬁle. This PDF ﬁle is optimized for screen viewing, but may easily be A recompiled for printing. Please see the preamble of the L TEX source ﬁle for instructions. CALCULUS MADE EASY MACMILLAN AND CO., Limited LONDON : BOMBAY : CALCUTTA MELBOURNE THE MACMILLAN COMPANY NEW YORK : BOSTON : CHICAGO DALLAS : SAN FRANCISCO THE MACMILLAN CO. OF CANADA, Ltd. TORONTO CALCULUS MADE EASY: BEING A......

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...Calculus is the mathematical study of change,[1] in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under and between curves); these two branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. Generally, modern calculus is considered to have been developed in the 17th century by Isaac Newton and Gottfried Leibniz. Today, calculus has widespread uses in science, engineering and economics and can solve many problems that algebra alone cannot. Calculus is a part of modern mathematics education. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has historically been called "the calculus of infinitesimals", or "infinitesimal calculus". The word "calculus" comes from Latin (calculus) and refers to a small stone used for counting. More generally, calculus (plural calculi) refers to any method or system of calculation guided by the symbolic manipulation of expressions. Some examples of other well-known calculi are propositional calculus, calculus of......

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...Tutorial 1 – Vector Calculus 1. Find the magnitude of the vector PQ with P (−1,2) and Q (5,5) . 2. Find the length of the vector v = 2,3,−7 . 3. Given the points in 3-dimensional space, P ( 2,1,5), Q (3,5,7), R (1,−3,−2) and S ( 2,1,0) . Does r PQ = RS ? ˆ ˆ 4. Find a vector of magnitude 5 in the direction of v = 3i + 5 ˆ − 2k . j r r ˆ ˆ ˆ j ˆ 5. Given u = 3i − ˆ − 6k and v = −i + 12k , find (a) u • v , r r (b) the angle between vectors u and v , r (c) the vector proju v , r r r r (d) the scalar component of v in the direction of u . 6. Given P (1,−1,3), Q ( 2,0,1) and R (0,2,−1) , find (a) the area of the triangle determined by the points P, Q and R. (b) the unit vector perpendicular to the plane PQR. 7. Find the volume of the parallelepiped determined by the vectors u = 4,1,0 , v = 2,−2,3 and r r r r r w = 0,2,5 . 8. Find the area of the parallelogram whose vertices are given by the points A (0, 0, 0), B (3, 2, 4), C (5, 1, 4) and D (2, -1, 0). ˆ j 9. Find the equation of the line through (2, 1, 0) and perpendicular to both i + ˆ and ˆ + k . j ˆ 10. Find the parametric equation of the line through the point (1, 0, 6) and perpendicular to the plane x+3y+z=5. 11. Determine whether the given lines are skew, parallel or intersecting. If the lines are intersecting, what is the angle between them? L1: x −1 y −3 z−2 = = 2 2 −1 x−2 y−6 z+3 L2 : = = 1 −1 3 12. Find the point in which the line x = 1 –t, y = 3t, z = 1 + t meets...

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...Calculus From Wikipedia, the free encyclopedia This article is about the branch of mathematics. For other uses, see Calculus (disambiguation). Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem [show]Differential calculus [show]Integral calculus [show]Vector calculus [show]Multivariable calculus Calculus (Latin, calculus, a small stone used for counting) is a branch of mathematics focused on limits,functions, derivatives, integrals, and infinite series. This subject constitutes a major part of modernmathematics education. It has two major branches,differential calculus and integral calculus, which are related by the fundamental theorem of calculus. Calculus is the study of change,[1] in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has widespread applications in science,economics, and engineering and can solve many problems for which algebra alone is insufficient. Historically, calculus was called "the calculus of infinitesimals", or "infinitesimal calculus". More generally, calculus (plural calculi) refers to any method or system of calculation guided by the symbolic manipulation of expressions. Some examples of other well-known calculi are propositional......

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...for my masters here at NMSU. In order to meet the prerequisites for the MBA program, I needed to take calculus and I’m glad I did because I wouldn’t have otherwise. Everything I learned in calculus challenged me to think critically and in another sense that I hadn’t known before. Being able to apply calculus to optimize a business’s performance, whether it be through current performance or future expectations is huge for any business. (Saiz, 2001) Since I can remember I’ve always felt like I am supposed to help my dad’s business despite it not really being my passion. I have found it to be difficult to work in that kind of environment. My dad’s business has done really well but it’s not something I love doing and honestly I don’t want anything given to me because of my dad’s successes, I want to do it on my own. The knowledge I have learned through college and the amount I have grown to be independent has made me realize that I can do anything. I have since decided to start my own in business in something I am extremely passionate about. Using calculus to determine rates to charge potential customer for optimal profits can really help my business get started. I think many people that start businesses jump into it without having structure and often times fail. I have found many tools and resources such as calculus to be very beneficial to the success of a business. Calculus will help my business predict maximum sales for a given service and help determine minimum costs......

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...Many gifted students such as myself accredit Gottfried Leibniz to be the precursor of their impending demise. Mr. Leibniz is the curator of Calculus, the idol of integrals, the devil of derivatives. Calculus is the study of change, and since it’s inception in the 17th century, it has changed the world. I also believe it to be the keystone to changing our future. Studies and general common sense show that our world is quickly deteriorating, and although judgements vary, it is no secret we will soon be evicted from Earth. Our future relies in physics, as it is our only foundation for understanding the world outside our world, and Calculus is our foundation for understanding our sole gateway. Physics would be just a game if it weren’t for Calculus, and we need the higher level of physics to comprehend what is outside our atmosphere and galaxy. Once the day approaches where humanity’s existence is futile and we are being shipped off to our new home in some foreign galaxy, Calculus will be our intellectual voucher to save humanity and all of it’s progression since our conception. Yes, I like all, have suffered through its limits and fundamental theorems, but I, unlike all, see the value in the deed. People love to hate it, but what I’ve learned while racing at the highest level, is that you need to embrace the struggle, and use that struggle to achieve something greater than yourself. I’ve lost entire days of my life studying for seemingly pointless tests, struggling to grasp......

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...Student Solutions Manual for SINGLE VARIABLE CALCULUS rS al e SEVENTH EDITION DANIEL ANDERSON University of Iowa Fo JEFFERY A. COLE Anoka-Ramsey Community College N ot DANIEL DRUCKER Wayne State University Australia . Brazil . Japan . Korea . Mexico . Singapore . Spain . United Kingdom . United States ALL RIGHTS RESERVED. No part of this work covered by the copyright herein may be reproduced, transmitted, stored, or used in any form or by any means graphic, electronic, or mechanical, including but not limited to photocopying, recording, scanning, digitizing, taping, Web distribution, information networks, or information storage and retrieval systems, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without the prior written permission of the publisher except as may be permitted by the license terms below. For product information and technology assistance, contact us at Cengage Learning Customer & Sales Support, ISBN-13: 978-0-8400-4949-0 ISBN-10: 0-8400-4949-8 Brooks/Cole 20 Davis Drive Belmont, CA 94002-3098 USA Cengage Learning is a leading provider of customized learning solutions with office locations around the globe, including Singapore, the United Kingdom, Australia, Mexico, Brazil, and Japan. Locate your local office at: www.cengage.com/global Cengage Learning products are represented in Canada by Nelson Education, Ltd. e © 2012 Brooks/Cole, Cengage......

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... 15. Details of Medical History, if any: None 16. Details of any Academic or extracurricular (music/dance etc.) Awards/ Personal Distinction /Scholarship (copies to be enclosed): Area of Specialization/ Name of the Award/ Scholarship | Conferred by | Year | Scholarship for Higher Education (SHE) in Science pursuit | Central Board of Secondary Education (CBSE) | 2014 | 17. Special interest areas: Robotics, Finance, Intercultural immersion 18. Languages (Indian/Foreign) known: S.No. | Language | Read | Write | Speak | 1. | Hindi | | | | 2. | English | | | | 19. Whether worked with any youth related organization like NCC, NSS, NYKS, other (please specify and enclose relevant documents thereof) ANY DISTINGUISHED WORK DONE, if so, please state, clearly. (Max 150 words) Working as a part of team Techfest, I have been involved in various social initiatives such as the Anti-Smoking campaign ‘ISMOKE- I Support the Movement tO Kill cancEr’ spanning 12 cities and 50 colleges as a part of Techfest 2014, Internet For All , for digitally empowering 50,000 children in 50 villages in India , and have visited several NGOs in Mumbai for the same. 20. Describe briefly about your hobbies/extracurricular activities/area of interest, which may be relevant for considering your application. (Max 150 words): I have been constantly involved with one student body or another, the reason being I don’t want to miss out any of the......

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...surface area of an octagonal prism, whilst keeping the volume constant? Maths Coursework Title What is the most efficient method to decrease the surface area of anElizabeth Shaw chocolate box, whilst keeping the volume constant? Introduction- Aim I want to find out the smallest possible surface area of the octagonal Elizabeth Shaw chocolate box. A standard box has a volume of Xcm³, and has a surface area of Xcm². The volume of the box will have to remain the same throughout the entirety of the experiment. This is an example of the Elizabeth Shaw chocolate box, as you can see; it is a regular polygon with sides of 6.5cm length and a height of 3cm with a radius of 7.85cm. Minimising the surface area of the box would have a number of advantages; it would save costs of producing the packaging as well as producing fewer pollutants that would derive from producing the packaging, reducing our carbon footprint. My aim is to use the 3 mathematical techniques- 1. Trial and improvement (using excel) This will entail finding the minimum surface area by increasing the number of decimal places each time, for x value 2. Autograph (for PC) I will insert the optimisation equation into the program which will construct a graph, where the lowest point (where the gradient is 0) will identify the minimum surface area obtainable. 3. Algebraic Differentiation This is where I will These will be compared and contrasted to show what the right minimisation of surface......

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...Of Health Care Reform ‘Volume to Value’ Abstract The White House and the current administration of President Obama made the passage of Health Care Reform a top priority and signed the bill into law March 23, 2010. There are two laws that make up the reform package; the first is the Patient Protection and Affordable Care Act and the Health Care and Education Reconciliation Act. Critics both in support and opponents claim the bills do little to alter healthcare inflation or uneven delivery of care (Ferman, 2010). The goal of the bill is to change a volume based model in to a value based business model. A comment by Moody’s Investor services exclaimed that the reform will undoubtedly require healthcare leaders to focus even more on multi-year strategies to ensure long term financial stability (Kim, Majka, & Sussman, 2011). Leaders will have to establish a long range plan that includes financial projections and goals, long range capital expenditure requirements, debt capacity, capital position analysis, capital shortfall analysis and sensitivity and risk analysis (Kim, Majka, & Sussman, 2011). There will be substantial increases in the number of newly insured that will place a tremendous amount of stress and unknown consequences on an already burdened healthcare infrastructure (Tyson, 2010). The objective of this paper will attempt to examine the implications of reform on strategic planning of health care institutions transitioning from a volume based model to a......

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...Kellie Aosley8 Recent Hedical school &a&ate "CALCULUS FOR THE UTTERLY CONFUSED has proven to be a wonderful review enabling me t o move forward in application of calculus and advanced topics in mathematics. I found it easy t o use and great as a reference for those darker aspects of calculus. I' Aaron Ladeville, Ekyiheeriky Student 'I1am so thankful for CALCULUS FOR THE UTTERLY CONFUSED! I started out Clueless but ended with an All' Erika Dickstein8 0usihess school Student "As a non-traditional student one thing I have learned is the Especially in importance of material supplementary t o texts. calculus it helps to have a second source, especially one as lucid and fun t o read as CALCULUS FOR THE UTTERtY CONFUSED. Anyone, whether you are a math weenie or not, will get something out of this book. With this book, your chances of survival in the calculus jungle are greatly increased.'I Brad &3~ker, Physics Student Other books i the Utterly Conhrsed Series include: n Financial Planning for the Utterly Confrcsed, Fifth Edition Job Hunting for the Utterly Confrcred Physics for the Utterly Confrred CALCULUS FOR THE UTTERLY CONFUSED Robert M. Oman Daniel M. Oman McGraw-Hill New York San Francisco Washington, D.C. Auckland Bogoth Caracas Lisbon London Madrid Mexico City Milan Montreal New Delhi San Juan Singapore Sydney Tokyo Toronto Library of Congress Cataloging-in-Publication Data Oman, Robert M. Calculus for the utterly confused / Robert M.......

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