EEE233 (SEM2-2012/13) TUTORIAL 1: PARTIAL DIFFERENTIAL EQUATIONS 1. Solve the following equations a) ∂2u∂x2=24x2(t-2)‚ given that at x=0‚ u=e2tand ∂u∂x=4t. b) ∂2u∂x∂y=4eycos2x‚ given that at y=0‚ ∂u∂x=cosx and at x=π‚ u=y2. 2. A perfectly elastic string is stretched between two points 10 cm apart. Its centre point is displaced 2 cm from its position of rest at right angles to the original direction of the string and then released with zero velocity. Applying
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Calculus can be implemented more into the medical field and help out with simple things such as the size determining the size of a tumor and calculating its growth rate. One could even calculating the correct dose of medication too prescribed To patients‚ so that they have the right ration for their bodies to absorb for the best treatment possible. Calculus is not required for medical however there are simple things that are easier to track and calculate using calculus the space patients having
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Calculus in Medicine Calculus in Medicine Calculus is the mathematical study of changes (Definition). Calculus is also used as a method of calculation of highly systematic methods that treat problems through specialized notations such as those used in differential and integral calculus. Calculus is used on a variety of levels such as the field of banking‚ data analysis‚ and as I will explain‚ in the field of medicine. Medicine is defined as the science and/or practice of the prevention
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After taking calculus for nearly two semesters‚ I discovered that I loved that subject far more than I had anticipated. By the end of my first semester‚ I knew that I wanted to pursue a major that had calculus at its core; but I also wanted it to expand and complicate the material that I had already learn. After some thought‚ I realized that I would be committed and superfluously content to pursue a degree in physics. When I first took the subject itself in high school‚ I found myself intrigued
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Calculus Cheat Sheet Derivatives Definition and Notation f ( x + h) - f ( x) . If y = f ( x ) then the derivative is defined to be f ¢ ( x ) = lim h ®0 h If y = f ( x ) then all of the following are equivalent notations for the derivative. df dy d f ¢ ( x ) = y¢ = = = ( f ( x ) ) = Df ( x ) dx dx dx If y = f ( x ) then‚ If y = f ( x ) all of the following are equivalent notations for derivative evaluated at x = a . df dy f ¢ ( a ) = y ¢ x =a = = = Df ( a ) dx x =a dx
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Portfolio in Calculus Submitted by: Chloe Regina C. Paderanga Submitted to: Sir Ferdinand Corpuz Journal for the Month of June WHAT I LEARNED? I learned many things this month. It was good that our teacher repeated the topics in basic math to strengthen our foundation. Even if we had a hard time‚ I don’t see any reason why we should complain because I understand that our wanted to master these topics to be able to move to a higher math. The topics tackled this month are namely:
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MATH 1003 Calculus and Linear Algebra (Lecture 1) Albert Ku HKUST Mathematics Department Albert Ku (HKUST) MATH 1003 1 / 18 Outline 1 About MATH 1003 2 Mathematics of Finance 3 Simple Interest Albert Ku (HKUST) MATH 1003 2 / 18 About MATH 1003 About MATH 1003 Lecturer: Albert Ku (Office: Rm 3492. E-mail: maybku@ust.hk) Teaching assistant: Dy Chun Yin‚ Li Xing‚ Lau Hing Sang and Wong Kwok Pang Office hours at Learning Commons: Fri 10:00-noon Textbook:
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This page intentionally left blank A Course in Financial Calculus A Course in Financial Calculus Alison Etheridge University of Oxford CAMBRIDGE UNIVERSITY PRESS Cambridge‚ New York‚ Melbourne‚ Madrid‚ Cape Town‚ Singapore‚ São Paulo Cambridge University Press The Edinburgh Building‚ Cambridge CB2 8RU‚ UK Published in the United States of America by Cambridge University Press‚ New York www.cambridge.org Information on this title: www.cambridge.org/9780521890779 © Cambridge University
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* AP Calculus Review Limits‚ Continuity‚ and the Definition of the Derivative Teacher Packet Advanced Placement and AP are registered trademark of the College Entrance Examination Board. The College Board was not involved in the production of‚ and does not endorse‚ this product. Copyright © 2008 Laying the Foundation‚ Inc.‚ Dallas‚ Texas. All rights reserved. These materials may be used for face-to-face teaching with students only. Limits‚ Continuity‚ and the Definition of the Derivative Page
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Integral calculus is the study of mathematical integration dealing with integrals. These integrals‚ also known as area under the curve‚ are used to determine the following: areas‚ volumes‚ and lengths. There are a multitude of areas of real-world mathematics to which integral calculus is used. Integration is most often applied in physics‚ biology‚ and even chemistry. Integration is applied to physics in many situations. One important situation is finding the moment of inertia. The moment of inertia
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