This is an example of conditional probability that we shall discuss in just a bit. Use nptel mathematics engineering app to understand your subjects better using video lectures and pdfs and make your concept stronger. Numbers, functions, and sequences, limit and continuity, differentiation, maxima, minima and curve sketching, approximations, integration, logarithmic and exponential functions, applications of integration, series of numbers and functions, limit and continuity of scalar fields, differentiation of scalar fields, maxima. Probability and statistics nptel online videos, courses. Krishna moorthy sivalingam, department of computer science and engineering, iit. How to download all of the lectures in pdf for a course in. Find materials for this course in the pages linked along the left. There are two parts to the lecture notes for this class. I am releasing the pdf notes that are meant to accompany the nptel video course. Classical, relative frequency and axiomatic definitions of probability, addition rule and conditional probability, multiplication rule, total probability, bayes theorem and independence, problems. Nptel video lectures, iit video lectures online, nptel youtube lectures, free video lectures, nptel online courses, youtube iit videos nptel courses. The brief note, which is a summary of the topics discussed in class, and the application example, which gives realwolrd examples of the topics covered.
Nptel mathematics advanced engineering mathematics. Would you like to learn mathematics engineering by iit professors at any time and place. A more recent version of this course, taught by prof. For the love of physics walter lewin may 16, 2011 duration. Freely browse and use ocw materials at your own pace. Tanuja srivastava department of mathematics, iit roorkee. Lecture slides theory of probability mathematics mit. Mathematics nptel online videos, courses iit video. Since he has already lived to 60, his chance of making to 65 is actually 80. Probability and statistics mathematics course from iit kharagpur nptel lecture videos by prof. The main idea of the course is to emphasize the concepts. Lecture 02sample space, events, axioms of probability. Ruby and mini tied for the first place in a beauty contest.
Lecture 6 conditional distribution and density functions. Lecture 05discrete random variables and their distributions. Soil exploration lecture notes, notes, pdf free download, engineering notes, university notes, best pdf notes, semester, sem, year, for all, study material. Mix play all mix nptel noc iitm youtube 21 videos play all introduction to probability and statistics nptel noc iitm mod01lec01 duration. Lecture 04random variables, cumulative density function, expected value. Search by nptel course id, course name, lecture title, coordinator. Mathematics video lectures nptel video lectures, course. Nptel mathematics probability theory and applications. Lecture notes probability and random variables mathematics. Mathematics video lectures from nptel, iit, mit, stanford. Using nptel mathematics engineering app you can read text content pdf of all videos which helps you to save mobile data.
Mathematics probability and statistics see other formats probability and statistics test set 4 1. Random variables, probability density function pdf youtube. Lecture series on probability and random variables by prof. Lecture notes in classical mechanics 80751 raz kupferman institute of mathematics the hebrew university july 14, 2008. Niladri chatterjee is a professor of department of mathematics, iit delhi. These linear algebra lecture notes are designed to be presented as twenty ve, fty minute lectures suitable for sophomores likely to use the material for applications but still requiring a solid foundation in this fundamental branch of mathematics.
You need at most one of the three textbooks listed below, but you will need the statistical tables. Lecture 03conditional probability, independence of events. Performance evaluation of computer systems by prof. This section provides the lecture notes for each session of the course.
What are the best online, collegelevel mathematics courses. You can find them according to your branch and subject in the below link national mission on education through ict this was initiated by iit madras. Probability graduate class lecture notes tomasz tkocz these lecture notes were written for the graduate course 21721 probability that i taught at carnegie mellon university in spring 2020. It develops the concept of probability density function, cumulative distribution function. Jagannatham of iit kanpur explains the following concepts in probability and random variables processes for wireless communications. You will find all pdf s and also as mp3 file for all video lectures which are in nptel. Mathematics ii lecture series on mathematics ii by prof. The spring 2014 version of this subject employed the residential mitx system, which enables oncampus subjects to provide mit. Using nptel mathematics app you can read text content pdf of all videos which helps you to save mobile data. Probability and statistics for engineering and the sciences by jay l. Set books the notes cover only material in the probability i course. Updated lecture notes include some new material and many more exercises.
Lecture 5 probability distributions and density functions. Linear algebra in twenty five lectures uc davis mathematics. Prabha sharma,department of mathematics,iit kanpur. You might ask, why did i look at the tables for white males. These videos are provided by nptel elearning initiative. Use nptel mathematics app to understand your subjects better using video lectures and pdfs and make your concept stronger. The textbooks listed below will be useful for other courses on probability and statistics. Nptel mathematics video lecture online study material. Nptel provides elearning through online web and video courses various streams. Lecture notes theory of probability mathematics mit. Mod01 lec05 discrete random variables and their distributions. Nptel, iit, lectures, courses, video, engineering, online. The probability that a selection of 6 numbers wins the national lottery lotto jackpot is 1 in 49 6,983,816, or 7.
The probability that a fair coin will land heads is 12. Probability theory and applications video lectures from. Mod01 lec05 random variables and probability distributions. Mathematics probability theory and applications youtube. The winner is to be decided by the majority opinion of a panel of three judges chosen at random from a group of nine judges. The probability that a drawing pin will land point up is 0.
Nptel material is available for free on nptel website. Lecture 1 introduction to the theory of probability youtube. Lecture 17 fundamental theorems of calculus, riemann sum. Probability and stochastic for finance ii video course course outline this course provides the minimum mathematical requirements to study mathematical finance or more precisely the pricing of financial derivatives. Nptel probability and distributions module 1 probability lectures 16 topics 1. Lecture notes probability and statistics in engineering. I am grateful to the scribes and tas who worked for many hours typing up these class notes most of them are acknowledged by name in the pdf files. Ray department of mathematics and statistics iit kanpur. Fundamentals of interest rate fixed income securities term structure of interest. Mit ocw has a huge collection of undergraduate and graduate level courses in mathematics and other subjects as well which includes audiovideo lectures, lecture notes, textbooks, assi. Mathematics in india from vedic period to modern times. Introduction to probability and statistics mathematics. If you are not able to download lectures due to bandwidth constraints, you can obtain the courses in dvds by paying a nominal fee to cover the cost of storage media and distribution. This course provides an elementary introduction to probability and statistics with applications.
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