Here \ discrete as opposed to continuous typically also means nite, although we will consider some in nite structures as well. These notes are of ace engineering academy coaching institute, hyderabad. Computer sc discrete mathematical structures npteliit discrete mathematics this has the prescribed book mentioned as rosen. This page contains gate cs preparation notes tutorials on mathematics, digital logic, computer organization and architecture, programming and data structures, algorithms, theory of computation, compiler design, operating systems, database management systems dbms, and computer networks listed according to the gate cs 2020 syllabus. This course introduces the basic concepts of discrete mathematics in the field of computer science. Click on any video lecture link to view and download that video. Lectures on discrete mathematics for computer science. Lecture 06 resolution principles and application to prolog. Liu, elements of discrete mathematics, second edition 1985. This course deals with topics about discrete mathematical structures. The text covers the mathematical concepts that students will encounter in many disciplines such as computer science, engineering, business, and the sciences. 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. Discrete mathematics pdf notes dm lecture notes pdf.
Consider the pbiased distribution over 0,1n, in which each coordinate independently is sampled according to a pbiased bit. Nptel provides elearning through online web and video courses various streams. Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous wikipedia. Nptel discrete math by k kritivasan is more than enough for gate do not watch all videos first to last. You can also get course completion certification for some of the courses. Lectures in computational fluid dynamics of incompressible flow. Using nptel mathematics engineering app you can read text content pdf of all videos which helps you to. The existence, enumeration, analysis and optimization of discrete structures. Discrete mathematics free math online course on nptel by iit kanpur a. Computer science and discrete mathematics csdm video.
The course will be an introduction to discrete mathematics which comprises of the essentials for a computer science student to. The discrete mathematics notes pdf dm notes pdf book starts with the topics covering logic and proof, strong induction,pigeon hole principle, isolated vertex, directed graph, alebric structers. Discrete mathematics is the part of mathematics devoted to the study of discrete objects kenneth h. The cardinality of a finite set is defined by the number of elements in the set.
Kamala krithivasan, department of computer science and engineering, iit madras. Nptel video lectures, iit video lectures online, nptel youtube lectures, free video lectures, nptel online courses, youtube iit videos nptel courses. In case of discrete mathematics, i have downloaded the following nptel video playlist. Elements of discrete mathematics, second edition 1985, mcgrawhill book. Below are links to all 37 chapters of cargals lectures on algorithms, number theory, probability and other stuff copyright 2003, 2005 these files are in. Using nptel mathematics app you can read text content pdf of all videos which helps you to save mobile data.
Most of these courses consists 40 videos and 1 hour duration each. What are the best video lectures online to accompany rosen. Ace academy handwritten class notes pdf mathematics this is mathematics study material for gate ies psus exam preparation in the form of handwritten notes. Series and sequences, and linear algebra with gilbert strang. How to download all of the lectures for a course in nptel quora. Search by nptel course id, course name, lecture title, coordinator. Kamala krithivasan department of computer science and engineering indian institute of technology, madras chennai 600036 email. Cesaro summability and abel summability of fourier series, mean square convergence of fourier series, af continuous function with divergent fourier series, applications of fourier series fourier transform on the real line and basic properties, solution of heat equation fourier transform for functions in lp, fourier. Feb 08, 2015 there are few video lectures which might help you.
Tech cseit, discrete mathematical structures unit i logic. Nptel syllabus discrete mathematical structures video course mathematical reasoning. Interconnections, generalizations and specializationrelations between several discrete structures. Gate cs topic wise preparation notes geeksforgeeks. It covers sets, logic, functions, relations, graph theory and algebraic structures. Nptel discrete mathematics video lecture gate overflow.
Jun 17, 2019 44 videos play all discrete mathematics nptel iit guwahati lecture 1. Readers will learn how to formally define abstract concepts, reason about. Use nptel mathematics engineering app to understand your subjects better using video lectures and pdfs and make your concept stronger. Kamala krithivasan, department of computer science and engineering, iit madras lecture 1 propositional logic. This book is designed for a one semester course in discrete mathematics for sophomore or junior level students. Graph theory nptel online videos, courses iit video lectures. Discrete mathematical structures nptel online videos, courses. Nptel provides courseware in the form of video lectures and web courses. Mathematics online courses with video lectures and tutorials. Liu, elements of discrete mathematics, second edition 1985, mcgrawhill book company. Here you can download the free lecture notes of discrete mathematics pdf notes dm notes pdf materials with multiple file links to download.
From the gate cse site i got the list of recommended video lectures to watch. Apr 28, 2016 even if you are watching some of the videos from nptel, you can increase the speed in youtube or in vlcif you are downloading them to 1. Mathematics as a subject is vast and with these online tutorials, we have tried to segregate some major topics into distinct lectures. Propositional equivalence, predicates and quantifiers, methods of proofs, proof strategy, sequences and summation, mathematical induction, recursive definitions and. The sets a and b have the same cardinality if there is a onetoone correspondence between elements in a and b. Oct 19, 2019 use nptel mathematics engineering app to understand your subjects better using video lectures and pdfs and make your concept stronger. Discrete mathematics lecture notes linkedin slideshare. Sugata gangopadhyay from iit roorkee made available by nptel elearning initiative. Mar 22, 2012 the fatheranddaughter team bring together two different perspectives to create a unified book for students interested in learning discrete mathematics, connections between discrete mathematics and computer science, and the mathematical foundations of computer science. Besides reading the book, students are strongly encouraged to do all the. Find materials for this course in the pages linked along the left. Discrete structures lecture notes vladlen koltun1 winter 2008 1computer science department, 353 serra mall, gates 374, stanford university, stanford, ca 94305, usa. Discrete structures lecture notes stanford university. Discrete mathematical structures nptel online videos.
Using nptel mathematics engineering app you can read text content pdf of all videos which helps you to save mobile data. Use nptel mathematics app to understand your subjects better using video lectures and pdfs and make your concept stronger. Nptel material is available for free on nptel website. Would you like to learn mathematics engineering by iit professors at any time and place. The fatheranddaughter team bring together two different perspectives to create a unified book for students interested in learning discrete mathematics, connections between discrete mathematics and computer science, and the mathematical foundations of computer science. Those who are looking to study calculus can find lectures devoted to differential equations and advanced methods of dealing with numerical analysis of such differential equations too. Lecture notes on discrete mathematics july 30, 2019. Freely browse and use ocw materials at your own pace. Nptel mathematics engineering app has following features.
Distributed under creative commons attributionsharealike cc bysa. Mathematics online courses with video lectures and. How to download all of the lectures for a course in nptel. Here \discrete as opposed to continuous typically also means nite, although we will consider some in nite structures as well. Mathematics video lectures from nptel, iit, mit, stanford. Propositional equivalence, predicates and quantifiers, methods of proofs, proof strategy, sequences and summation, mathematical induction, recursive definitions and structural induction, program correctness.
Rosen, discrete mathematics and applications, fifth edition 2003. Mathematics video lectures nptel video lectures, course. Some actual problems are shown, and the main ideas of this course are laid out very plainly as well as some basic, famous proofs. These basic concepts of sets, logic functions and graph theory are applied to boolean algebra and logic networks, while the advanced concepts of functions and. Computer sc discrete mathematical structures nptel iit discrete mathematics this has the prescribed book mentioned as rosen. Introduction this document is a collection of short lecture notes written for the course the finiteelementmethod sf2561,atkth,royalinstituteoftechnologyduring. Cesaro summability and abel summability of fourier series, mean square convergence of fourier series, af continuous function with divergent fourier series, applications of fourier series fourier transform on the real line and basic properties, solution of heat equation fourier transform for functions in lp. Discrete mathematics video lectures mathematics video. What are the best video lectures online to accompany rosens.
Lecture notes mathematics of machine learning mathematics. So, you want to download all of the video lectures for a course in nptel. Nptel mathematics video lecture online study material. Discrete mathematics plays a fundamental role in computer science and is an essential background for almost all of the advanced courses like theory of computation, compilers, databases, operating systems, algorithms and data structures etc. Computer science and discrete mathematics csdm video lectures. A sharpthreshold result studies the behavior of boolean functions over the hypercube under different pbiased measures, and in particular whether the function experiences a phase transition between two, close ps. Nptel computer science, computer networks, cloud computing, machine learning, deep learning, data science, artificial intelligence, python programming, compiler. This lecture does a great job of explaining exactly what discrete math is, what it means, and what types of problems will be tackled in this course. Discrete mathematics math 311 by nptel on iit kanpur.
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