Mathematical basics 1 introduction to machine learning, linear algebra week 2. Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems. It is used by the pure mathematician and by the mathematically trained scientists of all disciplines. Graduate students from electrical mechanical aerospace chemical engineering course outline. Mth 102a linear algebra and ordinary differential equations 201516ii semester arbind kumar lal. Those who are interested to know more about welding engineering and the way it functions can learn about the same with our tutorials. Gate instrumental engineering syllabus tutorialspoint. Computer based interactives, homework and quizzes help. Linear algebra i online course video lectures by iit madras. Ngs research is in the areas of machine learning and artificial intelligence.
Students should contact instructor for the updated information on current course syllabus, textbooks, and course content text. Advanced abstract algebra math 228 by nptel on iit delhi. Mathematics nptel online videos, courses iit video. Linear algebra johns hopkins center for talented youth. Which videos of nptel are a must watchbest for mechanical. This course covers the entire syllabus from the johns hopkins semesterbased, inperson linear algebra course, plus several additional topics. Linear algebra and its applications 5th edition hardcover, david c. Machine learning for engineering and science applications nptel. Advanced matrix theory and linear algebra for engineers nptel. The concepts of linear algebra are extremely useful in physics, economics and social sciences, natural sciences, and engineering. 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. Search by nptel course id, course name, lecture title, coordinator. Linear algebra is an online and individuallypaced course equivalent to a firstyear college linear algebra course.
Nocintroduction to probability theory and stochastic processes. Math 2331 linear algebra this is a course guideline. Notherian and artinian modules and ringshilbert basis theorem. This is an advanced course normally taken by science or engineering majors after. 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. Dr ganapthy krishnamurthi is a faculty member in the engineering design department at iitmadras. Linear algebra is a branch of mathematics that studies systems of linear equations and the properties of matrices. While this may contradict the experience of many experienced mathematicians, the approach here is consciously algebraic. If you are looking for additional resources, we recommend a first course in linear algebra, by rob beezer. Good morning, let me welcome you to this nptel lecture on linear algebra. Of course, some revision is necessary, and i have tried to make the notes reasonably selfcontained.
Nptel video lectures, iit video lectures online, nptel youtube lectures, free video lectures, nptel online courses, youtube iit videos nptel courses. Advanced abstract algebra free math online course on nptel by iit delhi r. Vector spaces, subspaces, linearly dependentindependent of vectors. This textbook is suitable for a sophomore level linear algebra course taught in about twentyfive lectures. Click on any video lecture link to view and download that video. Mathematics advanced engineering mathematics nptel. Syllabus linear algebra mathematics mit opencourseware. Advanced engineering mathematics online course video lectures. Mathematics video lectures nptel video lectures, course. Inverses of elementary rowoperations, rowequivalent. This book is available at haven books where it is reasonably priced. The course consists of 56 tutorials which cover the material of a typical first year linear algebra course at the university level. Similarly, there is little emphasis on a geometric approach to problems of linear algebra.
Linear algebra video lectures nptel engineering video lectures. It is designed both for engineering and science majors, but has enough abstraction to be useful for potential math majors. 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. Sivakumar from iit madras made available by nptel elearning initiative. 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. Advanced matrix theory and linear algebra for engineers video. These videos are provided by nptel elearning initiative. So you may assume this if you nd it helpful to do so. Linear algebra, differential equations, control systems engineering intended audience. Find materials for this course in the pages linked along the left.
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. Elementary linear algebra and its applications by mohammad r. 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. 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. Linear algebra mathematics course from iit madras nptel lecture videos by dr. 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. Linear algebra by professor kc sivakumar department of. This course is a basic course offered to ugpg students of engineering science background. We have a separate course for mathematics model in engineering and science. Use nptel mathematics engineering app to understand your subjects better using video lectures and pdfs and make your concept stronger. In order to gain a comprehensive understanding of the subject, you should start at the top and work your way down the list. We shall mostly be concerned with matrices having real numbers as entries. Linear algebra a free linear algebra textbook and online resource.
That way you will start learning the most basic concepts first and build off of those as. Uniform modules, primary modules, and notherlasker theorem. However, it is important to note that nearly all arguments in linear algebra use. Mechanical engineering online courses with video lectures. Just occasionally, we will need to assume k c the eld of complex numbers. Department of electrical engineering iit madras prerequisites. Nptel provides elearning through online web and video courses various streams. Linear algebra ii lecture notes pdf 61p download book. Linear algebra is one of the most applicable areas of mathematics.
This course will provide a thorough introduction to the theory of linear systems with on emphasis. His areas of research interest include medical image analysis and image reconstruction. An introduction to riemann surfaces and algebraic curves. This course is all about matrices, and concisely covers the linear algebra that an engineer should know. 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. Introduction to the course contents linear equations equivalent systems of linear equations i. Linear algebra video lectures nptel engineering video.
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. Leastsquares aproximations of overdetermined equations and leastnorm solutions of underdetermined equations. 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. Oct 19, 2019 would you like to learn mathematics engineering by iit professors at any time and place. 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.
A good understanding of the subject is also crucial to the study of most engineering disciplines and many problems in social sciences. List of available courses as pdf a basic course in real analysis. Apr 11, 2016 it is really great that you are preparing using nptel. Jul 02, 2014 matrices, vectors, vector spaces, transformations. Covers all topics in a first year college linear algebra course. In other words, students on this course have met the basic concepts of linear algebra before. Advanced matrix theory and linear algebra for engineers. Learn linear algebra online with courses like mathematics for machine learning and mathematics for machine learning. What are the best online, collegelevel mathematics courses. Lectures from the national programme on technology enhanced learning mathematics advanced matrix theory and linear algebra for engineers nptel lectures 38 38. We even have lectures for advanced rocket propulsion which will have to do with a great deal of different complex calculations. Linear algebra courses from top universities and industry leaders. These notes of linear algebra course emphasize the mathematical rigour over the applications, contrary to many books on linear algebra for engineers.
1217 183 1082 638 1176 650 62 94 943 679 73 477 930 824 1366 1287 87 401 1103 813 1143 538 409 235 139 326 1416 718 1001 1405 386 711 261 733 635 731 662 899 457 783 1340 306 569 202 840 1247 1166