Nptel mathematics numerical methods

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Nptel mathematics numerical methods

This course is intended to provide methods to solve linear and nonlinear boundary value problems involving ordinary as well as partial differential equations. The course will start providing mathematical tools based on integral transformation, Fourier series solution and Greens function for obtaining analytic solutions for BVPs. The applicability of the BVP in several practical contexts, e. Numerical solutions based on the shooting methods will be introduced. Finite difference methods for linear BVP of second-order and higher orders will be discussed.

Iterative techniques to solve nonlinear BVP are included in this course. Algorithms for block tri-diagonal system to handle higher order and system of BVPs will be discussed. Computation of elliptic type of PDEs arises in diffusion dominated process will be described. All the methods will be illustrated by working out several examples. Pre-requisite for this course should be the basic knowledge of undergraduate calculus. Learners enrolled: Myint-U and L. Birkhauser, Boston Partial Differential Equations with Numerical Methods.

Springer Keller, Waltham, Mass. Bhattacharyya is a senior professor in the Dept. Mathematics, IIT Kharagpur. His specialization is Applied Mathematics. Tech students at IIT Khargpur for the past 26 years.

His research works involve numerical solutions of PDEs and he has published more than research papers in reputed international journals.Free Education APP. Flag as inappropriate. Signature: adfabdedcaed5b. Facebook Twitter YouTube. We use cookies and other technologies on this website to enhance your user experience. By clicking any link on this page you are giving your consent to our Privacy Policy and Cookies Policy. Ok I Agree Learn More.

Download APK 4. If yes, then you are at right place. This app covers following subjects in detail 1. A Basic Course in Real Analysis 3. Advanced Abstract Algebra 4. Advanced Engineering Mathematics 6. Analysis of variance and design of experiment-I 9. Analysis of variance and design of experiment-II Applied Multivariate Analysis Calculus of Variations and Integral Equations Complex Analysis Convex Optimization Discrete Mathematics Dynamic Data Assimilation: an introduction Econometric Theory Elementary Numerical Analysis Formal Languages and Automata Theory It contains solution of system of linear equations, roots of non-linear equations, interpolation, numerical differentiation and integration.

It plays an important role for solving various engineering sciences problems. Therefore, it has tremendous applications in diverse fields in engineering sciences. It is a core course for UG. His research interests are in the fundamental understanding of species transport in macro and micro-scale confinements with applications in biomedical devices and micro electro mechanical systems. He has authored and co-authored more than 28 peer-reviewed journal papers, which includes publications in Springer, ASME, American Chemical Society and Elsevier journals.

He is also active in writing book chapter with reputed international publication house. He is actively involved in teaching and research in the area of computational algorithms, inverse problems and image processing.

Numerical Methods for Engineers

He has published more than 55 papers in various international journals conferences of repute. He has completed a couple of sponsored research projects and written several chapters in reputed books published with Springer and CRC press. Gerald, C.

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Jain, M. Pub, New Delhi. Conte, S. Krishnamurthy, E. Registration url: Announcements will be made when the registration form is open for registrations. The online registration form has to be filled and the certification exam fee needs to be paid.

nptel mathematics numerical methods

More details will be made available when the exam registration form is published. Certificate will have your name, photograph and the score in the final exam with the breakup.

It will be e-verifiable at nptel. A project of. In association with. Funded by. Powered by.The development of fast, efficient and inexpensive computers has significantly increased the range of engineering problems that can be solved reliably.

Numerical Methods use computers to solve problems by step-wise, repeated and iterative solution methods, which would otherwise be tedious or unsolvable by hand-calculations. This course is designed to give an overview of numerical methods of interest to scientists and engineers. However, the focus being on the techniques themselves, rather than specific applications, the contents should be relevant to varied fields such as engineering, management, economics, etc.

He works in the area of modeling, design and control for energy applications. Numerical Methods for Engineers By Prof. Learners enrolled: Gupta S. Chapra S. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres. Registration url: Announcements will be made when the registration form is open for registrations.

Mathematics Video Lectures

The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then. Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

Certificate will have your name, photograph and the score in the final exam with the breakup.

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Only the e-certificate will be made available. Hard copies are being discontinued from July semester and will not be dispatched. Helpline : 1 email : support swayam.List By Discipline. Aerospace Engineering. List By content type. Video Course. List By Institutions.

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Mod-05 Lec-22 Numerical Integration

Sable Prof. Ramteke Prof. Rubina Bose Prof. Sucheta Banerjee Kurundkar Prof.

Mathematical Methods for Boundary Value Problems

Vishnu Rao Prof.Are you looking to learn the different rules of mathematics? For those who find it hard to understand, mathematics can be quite challenging. This is why we have presented some of the best online lectures on mathematics where we will discuss a wide array of different topics.

In our video lectures, we are going to talk about finite mathematics, differential equations, statistical probability, Laplace transforms, Fourier series and more. Mathematics as a subject is vast and with these online tutorials, we have tried to segregate some major topics into distinct lectures. 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.

Further, we also have courses for functional analysis, real analysis, geometry and advanced matrix theory as well. Statistics is considered by many as another separate branch of mathematics and you can find a lot of video lectures devoted to the same. We have video lectures for regression analysis, multivariate analysis, numerical analysis, computational techniques and more.

Every single one of our lectures has been made keeping the needs of the readers in mind. The online lectures are going to explain the core concepts and then we subsequently build upon your foundation to help you solve advanced and complex problems.

With our varied online video tutorials, people can learn some of the most mind boggling mathematical concepts and gain proficiency in the same. Home All Courses Mathematics. Mathematics Are you looking to learn the different rules of mathematics?

Showing 20 of courses. Show: 16 32 48 Introduction to R Software. IIT Kanpur Added to favorite list Remove from favorite list Added to compare list Remove from compare list. Any scientific task without the knowledge of software is difficult to imagine and complete in the current scenario.

R is a free software that is capable of handling mathemati.

nptel mathematics numerical methods

Master the Fundamentals of Math. Become an Algebra Master. Statistics with R - Beginner Level. Workshop in Probability and Statistics.

This workshop will teach you the fundamentals of statistics in order to give you a leg up at work or in school. Optimization for Chemical Engineers. McMaster University Spring The application of optimization methods to important engineering problems in thermodynamics, statistics, design, control, economics and scheduling.

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The course will emphasize p. Statistics Probability. This course is an introduction to probability as a language and set of tools for understanding statistics, science, risk, and randomness. The ideas and methods are useful in s. Computational Linear Algebra for Coders.


Other Summer This course is focused on the question: How do we do matrix computations with acceptable speed and acceptable accuracy?Select Lecture 1: Introduction Lecture 2 : Preliminaries from general topology Lecture 3 : More Preliminaries from general topology Lecture 4 : Further preliminaries from general topology Lecture 5 : Topological groups Lecture 6 : Test - 1 Lecture 7 : Paths, homotopies and the fundamental group Lecture 8 : Categories and Functors Lecture 9 : Functorial properties of the fundamental group Lecture 10 : Brouwers theorem and its applications Lecture 11 : Homotopies of maps.

Select Prologue Lecture Basic concepts on multivariate distribution. Lecture - 02 Basic concepts on multivariate distribution. Lecture - 03 Multivariate normal distribution. Lecture - 16 Profile analysis.

Multistep Methods Multistep Methods Contd. Multistep Methods Contd. Select LectureBasic principles of counting LectureSample spaceevents, axioms of probability LectureConditional probability, Independence of events. LectureRandom variables, cumulative density function, expected value LectureDiscrete random variables and their distributions LectureDiscrete random variables and their distributions LectureDiscrete random variables and their distributions LectureContinuous random variables and their distributions.

LectureContinuous random variables and their distributions. LectureFunction of random variables, Momement generating function LectureJointly distributed random variables, Independent r.

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Lecture Conditional disti, Joint distr. LectureConditional expectation, Best linear predictor LectureInequalities and bounds. LectureConvergence and limit theorems LectureCentral limit theorem LectureApplications of central limit theorem LectureStrong law of large numbers, Joint mgf. LectureConvolutions LectureStochastic processes: Markov process. LectureTransition and state probabilities. LectureState prob. Classification of states. LectureRandom walk, periodic and null states.

nptel mathematics numerical methods

Simple Linear Regression Contd. Multiple Linear Regression Contd. Multicollinearity Multicollinearity Contd. Multicollinearity Contd.

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Model Adequacy Checking Contd. Test for Influential Observations Transformation and Weighting to correct model inadequacies Transformation and Weighting to correct model inadequacies Contd. Transformation and Weighting to correct model inadequacies Contd.

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Dummy Variables Dummy Variables Contd. Dummy Variables Contd. Polynomial Regression Models Contd. Confidence Intervals Confidence Intervals Contd. Select 1.


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