In Latin‚ the word ‘calculus’ means ‘pebble‚’ meaning that small stones were used to calculate things. Calculus is essentially the study of change‚ and the pebbles represent small‚ gradual changes that can produce impressive results. The origin of calculus is not the work of a single man‚ not even the work of the two men pictured above - but like most major discoveries‚ a gradual build of overlapping discoveries‚ something very similar to calculus itself. The question over the creation of the branch
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Lecture 15 The Definite Integral and Area Under a Curve Definite Integral ---The Fundamental Theorem of Calculus (FTC) Given that the function [pic] is continuous on the interval [pic] Then‚ [pic] where F could be any antiderivative of f on a ( x ( b. In other words‚ the definite integral [pic] is the total net change of the antiderivative F over the interval from [pic] • Properties of Definite Integrals (all of these follow from the FTC) 1. [pic] 4. [pic] 2. [pic] 5. [pic]
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No 1. 2. 3. 4. 5. 6. 7. 8. Code: UCCM1153 Status: Credit Hours: 3 Semester and Year Taught: Information on Every Subject Name of Subject: Introduction to Calculus and Applications Pre-requisite (if applicable): None Mode of Delivery: Lecture and Tutorial Valuation: Course Work Final Examination 40% 60% 9. 10. Teaching Staff: Objective(s) of Subject: • Review the notion of function and its basic properties. • Understand the concepts of derivatives. • Understand linear approximations. •
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COURSE CODE EMATH07/MATE604 COURSE TITLE DIFFERENTIAL CALCULUS UNITS / TYPE 4/LEC INSTITUTION VISION STATEMENT FEU - East Asia College aims to be premier technology educational institution in the Philippines. INSTITUTION MISSION STATEMENT FEU - East Asia College commits itself to be an institution of quality education and relevant partnership with the larger community‚ producing competent and principled professionals who will contribute significantly to the betterment of society.
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in Physics (1921)‚ Time Magazine’s Person of the Century (1999) Einstein’s Contribution to Mathematics While Einstein was remembered for his contributions to physics‚ he also made contributions in mathematics. He contributed several equations to calculus and geometry‚ ten of which are called the Einstein Field Equations. He first published these equations in 1915. One of these equations demonstrates how stress-energy inflicts curvature of space-time. Born: Dec 25‚ 1642‚ in Woolsthorpe-by-Colsterworth
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contain the following four items: 1. Information Booklet Information on administrative matters‚ lectures‚ tutorials‚ assessment‚ syllabuses‚ class tests‚ computing‚ special consideration and additional assessment 2. Algebra Notes (for MATH1131/1141) 3. Calculus Notes (for MATH1131/1141) 4. Past Exam Papers Booklet Information booklet contents General Information Lecture and tutorial information . . . . Contacting the Student Services Office Assessment . . . . . . . . . . . . . . . Computing tests . .
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of calculus in real life by ?Samiul Ehsan (131-15-2200)“Nothing takes place in the world whose meaning is not that of some maximum or minimum.” --Leonhard Euler 3. What is calculus?? Calculus originally meant “mathematics”.? Derived from the Latin “calx” (counter) – ancient Babylonians would use pebbles to represent units‚ tens‚ hundreds‚ etc‚ on a primitive abacus.? Later‚ defined as measuring varying rates of change. 4. Calculus is everywhereThe differentiation and integration of calculus have
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TI TI-89 / TI-92 Plus Calculus Tools Getting Started W hat is the Calculus Tools Application? Before You Begin Starting the Calculus Tools Application Calculus Tools Menus F1:Tools F2:Deriv F3:Integ F4:Seq F5:Vector F6:Advanced More Information Calculus Tools Application Functions 8/10/01 © 2001 Texas Instruments Important Information Texas Instruments makes no warranty‚ either expressed or implied‚ including but not limited to any implied warranties of merchantability
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CE1008/CZ1008: Engineering Maths CPE103/CSC103: Maths I/Foundation Maths Course Introduction 2012-2013 Semester 2 i-1 What is CE1008/CZ1008 Engineering Maths? Academic Unit: 3 AU Syllabus: • Calculus • Probability & Statistics Calculus: Probability & Statistics: • Notion of a Limit • Differentiation and Applications • Integration and Applications • Differential Equations and Applications • Descriptive Statistics • Probability Theory • Probability & Sampling
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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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