University of Business Technology UBT – CEIT CALCULUS I – MATH 101 FALL – 2012 Instructor : Abdulraheem Zabadi STUDY GUIDE Table of Contents Limits Differential Calculus Integral Calculus SOME USEFUL FORMULAS Chapter One : Limits Properties of Limits If b and c are real numbers‚ n is a positive integer‚ and the functions ƒ and g have limits as x → c ‚ then the following properties are true. Scalar Multiple : limx→c (b f(x))=b limx→c fx
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motivation is the key to a better future generation. Besides that‚ I have very strong math skills‚ which help me make a strong candidate as a teacher. These math skills were visible when I took Calculus 1‚ and Calculus 2 in senior year of high school. After that‚ I took statistics and other advanced calculus classes in college. This progress continued through graduate school. Therefore‚ I believe that my educational math experience and previous experience as a math teacher will help definitely ensure
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B.Sc IInd Year (III - semester) MATHEMATICS FOR SESSION (2013 - 2014 only) Paper-I: Advanced Calculus Maximum Marks: 50 University Exam: 40 Minimum Pass Mark : 35 % Internal Assessment: 10 Time allowed: 3 Hrs. Lectures to be delivered: 5 periods (of 45 minutes duration) per week Instructions for paper-setters The question paper will consist of three sections A‚ B and C. Each of sections A and B will have four questions from the respective sections of
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Example 5: Student work Maths Exploration Newton-Raphson method Rationale- For this project I chose to research and analyse the Newton-Raphson method‚ where calculus is used to approximate roots. I chose this topic because it looked extremely interesting and the idea of using calculus to approximate roots‚ seemed intriguing. The aim of this exploration is to find out how to use the Newton-Raphson method‚ and in what situations this method is used Explanation of the Newton-Raphson method
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1790. They worked on the metric system and supported a decimal base. In 1808 Lagrange was named to the Legion of Honour and Count of the Empire by Napoleon. Lagrange later died in 1813. Lagrange‚ along with Euler and Bernoullis‚ developed the calculus of variations for dealing with mechanics. He was responsible for laying the groundwork for a different way of writing down Newton’s Equation of Motion. This is called Lagrangian Mechanics. It accomplishes the same
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Unit 1 Lesson 1: Optimization with Parameters In this lesson we will review optimization in 2-space and the calculus concepts associated with it. Learning Objective: After completing this lesson‚ you will be able to model problems described in context and use calculus concepts to find associated maxima and minima using those models. You will be able to justify your results using calculus and interpret your results in real-world contexts. We will begin our review with a problem in which most fixed
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John Wallis—Infinity John Wallis was born at Ashford on November 22‚ 1616‚ and died at Oxford on October 28‚ 1703. He was educated at Felstead school‚ and one day in his holidays‚ when fifteen years old‚ he happened to see a book of arithmetic in the hands of his brother; struck with curiosity at the odd signs and symbols in it he borrowed the book‚ and in a fortnight‚ with his brother’s help‚ had mastered the subject. As it was intended that he should be a doctor‚ he was sent to Emmanuel College
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SOLUTIONS TO SUGGESTED PROBLEMS FROM THE TEXT PART 2 3.5 2 3 4 6 15 18 28 34 36 42 43 44 48 49 3.6 1 2 6 12 17 19 23 30 31 34 38 40 43a 45 51 52 1 4 7 8 10 14 17 19 20 21 22 26 r’(θ) = cosθ – sinθ 2 2 cos θ – sin θ = cos2θ z’= -4sin(4θ) -3cos(2 – 3x) 2 cos(tanθ)/cos θ f’(x) = [-sin(sinx)](cosx) -sinθ w’ = (-cosθ)e y’ = cos(cosx + sinx)(cosx – sinx) 2 T’(θ) = -1 / sin θ x q(x) = e / sin x F(x) = -(1/4)cos(4x) (a) dy/dt = -(4.9π/6)sin(πt/6) (b) indicates the change in depth of water (a) Graph at
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The previous director was leaving for college‚ and there was a dire need for math tutors. Wanting to share my newfound love for mathematics‚ I jumped at the opportunity. I met with students enrolled in Geometry‚ AP Calculus‚ and even my own IB math class; more importantly‚ I worked with quite a few students on a long-term basis. In between perusing their textbooks‚ searching for lesson plans online‚ rehearsing the best way to explain complex concepts‚ and asking teachers
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Martyna Wiacek MTH 116 C- Applied Calculus 11/6/2012 Chapter 5 Writing Assignment There is a correlation between area‚ accumulated change‚ and the definite integral that we have focused on throughout Chapter 5 in Applied Calculus. When looking at one rate-of-change function‚ the accumulated change over an interval and the definite integral are equivalent‚ their values could be positive‚ negative or zero. However‚ the area could never be negative because area is always positive by definition
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