My main goal in writing these notes was to give to the student a concise overview of the main concepts,ideas and results that usually. Advanced matrix theory and linear algebra for engineers video. This course is a basic course offered to ugpg students of engineering science background. Advanced abstract algebra free math online course on nptel by iit delhi r. Department of electrical engineering iit madras prerequisites. In other words, students on this course have met the basic concepts of linear algebra before. This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines. Introduction to the course contents linear equations equivalent systems of linear equations i. Dr ganapthy krishnamurthi is a faculty member in the engineering design department at iitmadras.
Linear algebra, an extension of elementary algebra, gives us a way of looking at the solution of any number of linear equations, with any number of variables without su. 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. We shall mostly be concerned with matrices having real numbers as entries. These videos are provided by nptel elearning initiative. Preparation of powerpoint slides, which include videos, animations, pictures, graphics for better understanding the applications of linear algebra and vector calculus to engineering applications the faculty will allocate chapters parts of chapters to groups of students so that the entire syllabus of linear algebra and vector calculus is covered. An introduction to riemann surfaces and algebraic curves. Linear algebra a free linear algebra textbook and online resource. The mathematics in this course is presented at the level of an advanced high school student, but typically students should take this course after completing a universitylevel single variable calculus course. Those who are interested to know more about welding engineering and the way it functions can learn about the same with our tutorials.
Vector spaces, subspaces, linearly dependentindependent of vectors. Linear algebra video lectures nptel engineering video lectures. Advanced engineering mathematics online course video lectures. It is designed both for engineering and science majors, but has enough abstraction to be useful for potential math majors. Apr 11, 2016 it is really great that you are preparing using nptel. However, it is important to note that nearly all arguments in linear algebra use. Linear algebra and its applications 5th edition hardcover, david c. Mathematics advanced engineering mathematics nptel. Students should contact instructor for the updated information on current course syllabus, textbooks, and course content text. Linear algebra is a foundational subject in mathematics which is of fundamental importance in the development of almost every branch of mathematics, theoretical physics and computer science. He leads the stair stanford artificial intelligence robot project, whose goal is to develop a home assistant robot that can perform tasks such as tidy up a room, loadunload a dishwasher, fetch and deliver items, and prepare meals using a kitchen.
Jul 02, 2014 matrices, vectors, vector spaces, transformations. Nptel video lectures, iit video lectures online, nptel youtube lectures, free video lectures, nptel online courses, youtube iit videos nptel courses. Linear algebra mathematics course from iit madras nptel lecture videos by dr. Linear algebra by professor kc sivakumar department of. Oct 19, 2019 would you like to learn mathematics engineering by iit professors at any time and place. Linear algebra courses from top universities and industry leaders. Gate instrumental engineering syllabus tutorialspoint. Leastsquares aproximations of overdetermined equations and leastnorm solutions of underdetermined equations.
Mathematics nptel online videos, courses iit video. Mathematical basics 1 introduction to machine learning, linear algebra week 2. Our goal is to give the beginning student, with little or no prior exposure to linear algebra, a good grounding in the basic ideas, as well as an appreciation for how they are used in many applications, including data tting, machine learning and arti cial intelligence, to. Elementary linear algebra and its applications by mohammad r.
It is used by the pure mathematician and by the mathematically trained scientists of all disciplines. This book is available at haven books where it is reasonably priced. Computer based interactives, homework and quizzes help. Math 2331 linear algebra this is a course guideline. Nocintroduction to probability theory and stochastic processes. What are the best online, collegelevel mathematics courses. Similarly, there is little emphasis on a geometric approach to problems of linear algebra. This course covers the entire syllabus from the johns hopkins semesterbased, inperson linear algebra course, plus several additional topics. In order to gain a comprehensive understanding of the subject, you should start at the top and work your way down the list. Mechanical engineering online courses with video lectures. Sivakumar from iit madras made available by nptel elearning initiative. This course will provide a thorough introduction to the theory of linear systems with on emphasis. Covers all topics in a first year college linear algebra course. While this may contradict the experience of many experienced mathematicians, the approach here is consciously algebraic.
Notherian and artinian modules and ringshilbert basis theorem. That way you will start learning the most basic concepts first and build off of those as. The course consists of 56 tutorials which cover the material of a typical first year linear algebra course at the university level. Nptel provides elearning through online web and video courses various streams. We even have lectures for advanced rocket propulsion which will have to do with a great deal of different complex calculations. These notes of linear algebra course emphasize the mathematical rigour over the applications, contrary to many books on linear algebra for engineers. Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems. Linear algebra is one of the most applicable areas of mathematics.
Linear algebra ii lecture notes pdf 61p download book. The concepts of linear algebra are extremely useful in physics, economics and social sciences, natural sciences, and engineering. 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. Uniform modules, primary modules, and notherlasker theorem. Of course, some revision is necessary, and i have tried to make the notes reasonably selfcontained. List of available courses as pdf a basic course in real analysis.
So you may assume this if you nd it helpful to do so. Use nptel mathematics engineering app to understand your subjects better using video lectures and pdfs and make your concept stronger. Mth 102a linear algebra and ordinary differential equations 201516ii semester arbind kumar lal. Linear algebra is a branch of mathematics that studies systems of linear equations and the properties of matrices. Ngs research is in the areas of machine learning and artificial intelligence. Advanced matrix theory and linear algebra for engineers. Syllabus linear algebra mathematics mit opencourseware. Good morning, let me welcome you to this nptel lecture on linear algebra. Find materials for this course in the pages linked along the left.
Machine learning for engineering and science applications nptel. Inverses of elementary rowoperations, rowequivalent. Search by nptel course id, course name, lecture title, coordinator. His areas of research interest include medical image analysis and image reconstruction. Explore the topics covered in this course with mit crosslinks, a website that highlights connections among select mit undergraduate stem courses and recommends specific study materials from ocw and others. It is one of the best ways to prepare for competitive exams and also to clear your basics which is important for clearing interviews, during job, further studies etc. Linear algebra is an online and individuallypaced course equivalent to a firstyear college linear algebra course. Graduate students from electrical mechanical aerospace chemical engineering course outline. This is an advanced course normally taken by science or engineering majors after. It contains basics of matrix algebra, computer arithmetic, conditioning and condition number, stability of numerical algorithms, vector and matrix norms, convergent matrices, stability of non linear systems, sensitivity analysis, singular value decomposition svd, algebraic and geometric properties of. A good understanding of the subject is also crucial to the study of most engineering disciplines and many problems in social sciences. We have a separate course for mathematics model in engineering and science. Linear algebra i online course video lectures by iit madras. Which videos of nptel are a must watchbest for mechanical.
Click on any video lecture link to view and download that video. Linear algebra johns hopkins center for talented youth. Just occasionally, we will need to assume k c the eld of complex numbers. Linear algebra video lectures nptel engineering video. Linear algebra, differential equations, control systems engineering intended audience. Lectures from the national programme on technology enhanced learning mathematics advanced matrix theory and linear algebra for engineers nptel lectures 38 38. Advanced abstract algebra math 228 by nptel on iit delhi. Stanford engineering everywhere cs229 machine learning. This textbook is suitable for a sophomore level linear algebra course taught in about twentyfive lectures. Learn linear algebra online with courses like mathematics for machine learning and mathematics for machine learning. This course is all about matrices, and concisely covers the linear algebra that an engineer should know.
Mathematics video lectures nptel video lectures, course. Advanced matrix theory and linear algebra for engineers nptel. For nearly all results in this course, there is no loss in assuming that kis the eld r of real numbers. If you are looking for additional resources, we recommend a first course in linear algebra, by rob beezer.
1203 238 371 798 622 606 1315 1508 1528 1359 287 1356 590 120 350 397 1223 135 236 1387 88 897 1528 1008 117 528 1061 614 1400 1257 314 1476