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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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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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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“The Contribution of Calculus in the Social Progress” The history of calculus falls into several distinct time periods‚ most notably the ancient‚ medieval‚ and modern periods. The ancient period introduced some of the ideas of integral calculus‚ but does not seem to have developed these ideas in a rigorous or systematic way. Calculating volumes and areas‚ the basic function of integral calculus‚ can be traced back to the Egyptian Moscow papyrus (c. 1800 BC)‚ in which an Egyptian successfully
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As I walked into the class for the Advanced Placement Calculus (AP Calculus) course‚ I immediately took my seat. As I entered the room the teacher was solving a quite difficult equation. I took out my paper and pencil and began to write. The calculus teacher asked the class to solve the equations using a graphing calculator. I was not too sure about my answers but I continued to do the work. “All done?”‚ my math teacher asked to the class. “What did you get for number 1?” As the class confidently
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When calculus was invented‚ has always been a question in Math. The first signs of calculus were done by Greek mathematicians. Zeno of Elea of about 450 B.C. gave a number of problems which were based on the infinite. His argument was that motion is impossible. Other Greek mathematicians that contributed to the method of exhaustion are Leucippus‚ Democritus and Antiphon. The method of exhaustion is so called because one thinks of the areas measured expanding so that they account for more and more
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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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CALCULUS Calculus is the study of change which focuses on limits‚ functions‚ derivaties‚ integrals‚ and infinite series. There are two main branches of calculus: differential calculus and integral calculus‚ which are connected by the fundamental theorem of calculus. It was discovered by two different men in the seventeenth century. Gottfried Wilhelm Leibniz – a self taught German mathematician – and Isaac Newton - an English scientist - both developed calculus in the 1680s. Calculus is used in a
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Calculus I Midterm 2 November 2013 2 1. (6 marks) Find the following limit: lim (1 + sin 7 x ) cot 5 x x →0 + ( 2. (3 marks) Find the derivative of y = 3 x + 5 2 ) sec x Calculus I Midterm 2 November 2013 3 3. (Total 8 marks) Answer each question in the space provided. Do NOT simplify your answer. x2 − x 3 dy of the function f ( x) = ln( x3 ) a) Find dx e [ ( )] b) If f ( x) = arcsin x c) Find ( ( d sin 2 dx d) If f ( x)
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Multivariable calculus Calculus 2B for Business Administration Lecturer: Nguyen Minh Quan‚ PhD Dr. Nguyen Minh Quan (HCMIU-VNU) Chapter 2. Multivariable calculus Summer 2013 1 / 80 Contents 1 Functions of several variables 2 Partial derivatives 3 Maxima and minima. Optimization 4 Constrained Optimization 5 Total differentials and approximations 6 Double integrals Dr. Nguyen Minh Quan (HCMIU-VNU) Chapter 2. Multivariable calculus Summer 2013
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