Single payment computations Compound amount Present value Effective interest rate 5 Annuities: Future value and present value The sum of an annuity Determining the size of an annuity Present value of annuity Mortgages 6 The Calculus Limits of a function Properties of limits and continuity Average rate of change and instantaneous rate of change 7 Differentiation Rules of differentiation Instantaneous rate of change interpretation 8 MID TERM EXAM 9
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5. Infinite integrals: Antiderivatives and infinite integrals‚ substitution rule‚ integration by parts. 6. Definite integrals: Definition and properties of definite integral‚ criteria of existence of definite integrals‚ fundamental theorem of calculus‚ substitution rule‚ integration by parts‚ improper integrals. 7. Applications of differentiation and integration: Maximum and minimum values‚ curve sketching‚ arc length and differential of arc length‚ curvature‚ applications of integration. 8
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Scientific Biographies. New York: Scribners‚ Volume 3‚ 1971‚ p. 131-147. 2. “Augustin Louis Cauchy”. Wikipedia Encyclopedia.. 3. Grabiner‚ Judith V. “The Origins of Cauchy’s Rigorous Calculus.”Massachusetts: The MIT Press‚ 1981. 4. Grabiner‚ Judith V. “Who Gave You the Epsilon? Cauchy and the Origins of Rigorous Calculus.” The American Mathematical Monthly‚ Vol. 90‚ No. 3 (Mar 1983)‚ 185-194. 5. “Mathematical Analysis”. Wikipedia Encyclopedia. . 6. O’Connor‚ J.J. and Robertson‚ E.F. “Augustin Louis
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FLORIDA ATLANTIC UNIVERSITY All courses are three (3) credits unless otherwise indicated. Course selections should be made in consultation with an academic advisor. PRE-PROFESSIONAL ENGINEERING PROGRAM (2013-2014) College of Engineering & Computer Science FOUNDATIONS OF WRITTEN COMMUNICATION (Gordon Rule Writing (GRW)‚ 6 credits required) (A grade of “C” or higher is required in each course) ___ ENC 1101 ............. College Writing I (REQUIRED) ___ ENC 1102+ ........... College Writing
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1. Physical Properties of Water and Ice 1. Molecular Weight: A. 18.01528 g/mol Water‚ Molar mass Triple Point The temperature and pressure at which solid‚ liquid‚ and gaseous water coexist in equilibrium is called the triple point of water. This point is used to define the units of temperature (the kelvin‚ the SI unit of thermodynamic temperature and‚ indirectly‚ the degree Celsius and even the degree Fahrenheit). As a consequence‚ water’s triple point temperature is a prescribed value rather
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Astronomy (Jyothissaasthram) was popular in Kerala even in ancient times‚ and their deep knowledge in that branch of science is well-known. A number of great treatises (Grantham) were written by several eminent scholars (most of them Namboothiri Brahmins) of the area at different times. It is difficult to date some of the very ancient ones such as "Devakeralam"‚ "Sukrakeralam" (also known as "Bhrigukeralam"‚ "Kerala Rahasyam" or "Keraleeyam" and has 10 chapters)‚ "Vararuchi Keralam” and "Keraleeya
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of Scientific Biography). Wallis made contributions to trigonometry‚ calculus‚ and geometry; he was determined to learn and be conducive to all aspects of mathematics. Wallis was known for many of his books‚ and discoveries in math‚ but his most important contribution to the development of Calculus would be his contributions to integral calculus. Wallis development of standard notation for power is very beneficial for calculus; It helps us convert square roots into exponential form‚ helps to convert
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Calculus is the mathematical study of change‚ and real-life things that change are modeled by functions. Precalculus is essentially the study of functions‚ with a few other related topics that supplement the study of functions and prepare students for calculus. In this text we’ll concern ourselves first with learning about general functions‚ and later with certain types of common functions with special properties‚ like polynomial‚ exponential‚ logarithmic‚ and trigonometric functions. First‚ it is
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New Jersey to Illinois. My dad’s shift in his job made us move to a suburb of Chicago- Palatine. I was afraid if I would be able to catch up with different teaching methods of high school. On my first day at Palatine high school when I went to my Calculus class‚ the teacher was reviewing a chapter regarding derivatives and there was a quiz following it. My teacher wanted me to try and take the quiz to get used to the format of her tests and quizzes. Even though I did have some experience with derivatives
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After all these years in school‚ I’ve come to discover that I am a math nerd and definitely plan to pursue a career involving numbers. My past Chemistry‚ Algebra and Pre-Calculus classes have helped me come to this discovery. In the future I plan to find a lot more information on different careers to find out what I really want to be. My first career choice is to become a chemical engineer. Recently I’ve been talking to my guidance counselor and asking what careers would interest me due
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