an astronomical problem in the form of a basic differential equation.[4] This equation eventually led Bhāskara II in the 12th century to develop an early derivative representing infinitesimal change‚ and he described an early form of "Rolle’s theorem".[5] Around AD 1000‚ the Islamic mathematician Ibn al-Haytham (Alhazen) was the first to derive the formula for the sum of the fourth powers‚ and using mathematical induction‚ he developed a method that is readily generalizable to finding the formula
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Subject CT3 Probability and Mathematical Statistics Core Technical Syllabus for the 2014 exams 1 June 2013 Subject CT3 – Probability and Mathematical Statistics Core Technical Aim The aim of the Probability and Mathematical Statistics subject is to provide a grounding in the aspects of statistics and in particular statistical modelling that are of relevance to actuarial work. Links to other subjects Subjects CT4 – Models and CT6 – Statistical Methods: use the statistical concepts
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world have shaped this theorem but the two main contributors are Sir Isaac Newton and Wilhelm Von Leibniz. The reason they are considered the inventors of Calculus is because they were able to give a unified approach to tangent and area problems unlike the others who used specific methods. Both of these mathematicians developed general concepts Newton was associated with the fluxion and the fluent as for Leibniz‚ he produced the differential and the integral. Isaac Newton was a self-taught mathematic
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equations‚ Indices‚ Logarithms‚ Arithmetic‚ Geometric and Harmonic progressions‚ Binomial theorem‚ Surds‚ Complex numbers‚ Demoivre’s theorem and its simple application Matrics & Determinants Matrix operations‚ Definition and properties of determinats‚ Cofactors‚ Adjoint‚ Elementry Transformations‚ Rank and inverse of a Matrix‚ Matrix Polynomial‚ Characteristic Equations‚Eigen Values‚ Latent Vectors‚ Caylay Hamilton theorem‚ Linear system of Equations. Theory Of Equations Polynomials and their
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CONTENTS INTRODUCTION 3 DESCRIPTION 5 UNIT CREDIT 6 TIME ALLOTMENT 6 EXPECTANCIES 7 SCOPE AND SEQUENCE 8 SUGGESTED STRATEGIES AND MATERIALS 9 GRADING SYSTEM 10 LEARNING COMPETENCIES 11 SAMPLE LESSON PLANS 30 INTRODUCTION This Handbook aims to provide the general public – parents‚ students‚ researchers‚ and other stakeholders – an overview of the Mathematics program at the secondary level. Those in education‚ however‚ may use it as a
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DELHI TECHNOLOGICAL UNIVERSITY SCHEME OF EXAMINATION AND COURSE CURRICULUM B.Tech (MATHEMATICS AND COMPUTING) CONTENT Scheme of Examination.................................................................................. 2-6 Course Curriculum First Year........................................................................................................ 7-13 Second Year................................................................................................... 13-19 Third
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ECON 1203 Progress Report: 1. * Descriptive statistics (Emphasis of course so far) * What are the key features of data? * How can we best describe these features so that analysis is informative * Inferential statistics (Emphasis of course to come) * Extracting information about population parameters on basis of sample statistics * What does a sample mean tell us about a population mean? * Typically only alternative because difficult or impossible
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Variables 3.7 The Central Limit Theorem Examples of applications of this theorem. Discussion on the normal approximation to the binomial 3.8 Summary II Teaching Tips 1. The discussion on the normal approximation to the binomial and the central limit theorem can be enhanced by using the Crystal Ball run option to show in class how the binomial distribution approaches a bell-shaped curve
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calculus (concerning accumulation of quantities and the areas under curves); these two branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. Generally considered to have been founded in the 17th century by Isaac Newton and Gottfried Leibniz‚ today calculus has widespread uses in science‚ engineering and economics and can solve many problems that algebra
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we introduce the concept of reciprocal‚ plus solutions to different logarithmic problems‚ progress was such that it created algorithms for calculating sums of progressions. In geometry‚ it is believed that they knew the Pythagorean Theorem‚ though not as a general theorem. With no doubt‚ China played a big role in mathematical progress. However‚ it was in Greece‚
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