- published: 22 Aug 2012
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Calculus is the mathematical study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under and between 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, modern calculus is considered to have been developed 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 alone cannot.
Calculus is a part of modern mathematics education. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has historically been called "the calculus of infinitesimals", or "infinitesimal calculus". The word "calculus" comes from Latin (calculus) and refers to a small stone used for counting. More generally, calculus (plural calculi) refers to any method or system of calculation guided by the symbolic manipulation of expressions. Some examples of other well-known calculi are propositional calculus, calculus of variations, lambda calculus, and process calculus.
The Indian Institutes of Technology Joint Entrance Examination (IIT-JEE) was an annual engineering college entrance examination in India. It was used as the sole admission test by the 16 Indian Institutes of Technology (IITs) and Indian School of Mines Dhanbad (to be converted into IIT). The examination was organised each year by one of the various IITs, on a round robin rotation pattern. It had a very low admission rate (about 10,000 in 500,000 in 2011), and was thus recognised as one of the toughest examinations in the world.
In 2013 it was replaced by the two-phase Joint Entrance Examination.
The first IIT, IIT Kharagpur, started in 1951. In the initial few years (1951-1954) students were admitted on the basis of their academic results followed by an Interview in several Centers across the country. From 1955-1959 admission was via an all India examination held only for IIT Kharagpur (other IITs had not started by then). Branches were allotted through Interviews/counselling held at Kharagpur.
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A NEET or neet is a young person who is "Not in Education, Employment, or Training". The acronym NEET was first used in the United Kingdom but its use has spread to other countries including Japan, South Korea, and Taiwan.
In the United Kingdom, the classification comprises people aged between 16 and 24 (some 16 and 17 year-olds are still of compulsory school age); the subgroup of NEETs aged 16–18 is frequently of particular focus. In Japan, the classification comprises people aged between 15 and 34 who are not employed, not engaged in housework, not enrolled in school or work-related training, and not seeking work.
NEET is to be distinguished from the newly coined NLFET rate used in the 2013 report on Global Employment Trends for Youth by the International Labour Organization. NLFET stands for "neither in the labour force nor in education or training". It is similar to NEET but it excludes the unemployed youth (who are part of the labor force).
Calculus 1 Lecture 1.1: An Introduction to Limits
I want you to feel that you could have invented calculus for yourself, and in this first video of the series, we see how unraveling the nuances of a simple geometry question can lead to integrals, derivatives, and the fundamental theorem of calculus. Full playlist: http://3b1b.co/calculus Support for these videos comes primarily from Patreon: https://patreon.com/3blue1brown Special thanks to the following supporters: http://3b1b.co/eoc1-thanks ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this p...
What is calculus? In this video, we give you a quick overview of calculus and introduce the limit, derivative and integral. We begin with the question “Who invented Calculus?” Next, we talk about the two main tools you’ll study: derivatives and integrals. To understand both of these you’ll first learn about limits. After you learn how to compute the derivative and integral for basic functions and apply them to real-world problems, you’ll move up to higher dimensions and study things like “partial derivatives” and “multiple integrals.” ************** If you would like to help us make new videos, you can support us through Patreon at https://www.patreon.com/socratica We also welcome Bitcoin donations! Our Bitcoin address is: 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9 Thank you!! ******* W...
This video will give you a brief introduction to calculus. It does this by explaining that calculus is the mathematics of change. A couple of examples are presented, and then limits, derivatives, and integrals are introduced. For more videos please visit http://www.mysecretmathtutor.com
Calculus is explained through a real life application in Tamil language. This video will help you to understand a simple application of calculus.
This video shows how calculus is both interesting and useful. Its history, practical uses, place in mathematics and wide use are all covered. If you are wondering why you might want to learn calculus, start here!
http://bit.ly/qYnN40 Want to see the ENTIRE Calculus in 20 Minutes for FREE? Click on this link to see all 20 minutes in the full multimedia environment.
why study differentiation and integration
Easy to understand explanation of integrals and derivatives using 3D animations.
Derivatives, slope, velocity, rate of change View the complete course at: http://ocw.mit.edu/18-01F06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
This calculus review video tutorial provides an introduction / basic overview of the fundamental principles taught in an IB or AP calculus AB course. This video is also useful for students taking their first semester of college level calculus. It cover topics such as graphing parent functions with transformations, limits, continuity, derivatives, and integration. This video contains plenty of examples and practice problems. Calculus Video Playlist: https://www.youtube.com/watch?v=rCxi-O79sVo&t=25s&index=1&list=PL0o_zxa4K1BVKErFko9je9IBZ0hXWXVtV Access to Premium Videos: https://www.patreon.com/MathScienceTutor Here is a list of topics: 1. Graphing Parent Functions With Transformations 2. Linear Functions, Quadratic & Cubic Functions 3. Rational Functions, Fractions, Square Roots, ...
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Awaking from this dreadful tragedy
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Beginning to dwell in this elegy