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���_�wD}iL$k*���#�'�\��A��2���5��{\�*�n����E"���L�6��\$�|3 Introduction to Linear Algebra. It's difficult to estimate how long it will take you to complete the course, but you can probably expect to spend an hour or more working through each individual session. Linear Algebra I: Math 204 Syllabus for Linear Algebra, Winter 2020. NOTE: More material on linear algebra (and much more about differential equations) is in Professor Strang's 2014 text… The goals for 18.06 are using matrices and also understanding them. Syllabus, var caption_embed1 ={'English - US': '/courses/mathematics/18-06sc-linear-algebra-fall-2011/syllabus/linear-algebra-course-introduction/YeyrH-Oc2p4.srt'}. Here are key computations and some of the ideas behind them: The homeworks are essential in learning linear algebra. This class aims to develop an algebraic and geometric understanding of systems of linear equations and of linear transformations. Solving Ax = 0: Pivot Variables, Special Solutions, Matrix Spaces; Rank 1; Small World Graphs, Unit II: Least Squares, Determinants and Eigenvalues, Unit III: Positive Definite Matrices and Applications, Symmetric Matrices and Positive Definiteness, Complex Matrices; Fast Fourier Transform (FFT), Linear Transformations and their Matrices, Orthogonal bases and orthogonal projections, Least Squares, Determinants and Eigenvalues, Positive Definite Matrices and Applications, PhD Mathematics, "Professor of Mathematics and Computer Science, Bridgewater State University. /CreationDate (D:20150205142412+05'30') endobj Made for sharing. » /Decode [1 0] NPTEL Syllabus Linear Algebra - Video course COURSE OUTLINE Systems of linear equations, Matrices, Elementary row operations, Row-reduced echelon matrices. %PDF-1.4 4th ed. Wellesley-Cambridge Press, 2016. We don't offer credit or certification for using OCW. MIT expects its students to spend about 150 hours on this course. Reading assignments are also provided for the newer edition: Strang, Gilbert. 8 0 obj Learn more », © 2001–2018
The basic operations of linear algebra are those you learned in grade school – addition and multiplication to produce "linear c… Find materials for this course in the pages linked along the left. Send to friends and colleagues. /Subtype /Image In 2016, the textbook was developed into a series of 55 short videos, Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler. Home For further study, there are suggested readings in Professor Strang's textbook (both the 4th and 5th editions): Strang, Gilbert. >> 1 0 obj Reading assignments are also provided for the newer edition: Strang, Gilbert. The readings are assigned in: Strang, Gilbert. Differential Equations and Linear Algebra, Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Solving Ax = b for square systems by elimination (pivots, multipliers, back substitution, invertibility of A, factorization into A = LU), Complete solution to Ax = b (column space containing b, rank of A, nullspace of A and special solutions to Ax = 0 from row reduced R), Basis and dimension (bases for the four fundamental subspaces), Least squares solutions (closest line by understanding projections), Orthogonalization by Gram-Schmidt (factorization into A = QR), Properties of determinants (leading to the cofactor formula and the sum over all n! /Length 9 0 R MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum. With more than 2,400 courses available, OCW is delivering on the promise of open sharing of knowledge. Linear Algebra There's no signup, and no start or end dates. With more than 2,400 courses available, OCW is delivering on the promise of open sharing of knowledge. » Massachusetts Institute of Technology. << Knowledge is your reward. << NOTE: More material on linear algebra (and much more about differential equations) is in Professor Strang's 2014 textbook Differential Equations and Linear Algebra. But you must write your own solutions. /Type /ExtGState
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