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Gilbert Strang - MIT
Big Picture: Derivatives
Topic:
Calculus
Teacher:
Gilbert Strang
Concepts In This Lecture:
Derivatives - 00:37
Graphing Derivatives - 25:23
Max and Min and Second Derivative
Topic:
Calculus
Teacher:
Gilbert Strang
Lec 17 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Orthonormal Basis - 02:03
Gram-Schmidt Process - 25:22
Orthonormalising Vectors - 25:22
Lec 1 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Linear Combinations - 08:47
Lec 2 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Solving Systems With Elimination - 02:30
Elimination Failure - 10:43
Back Substitution - 14:36
Elimination Matrix - 19:45
Permutation Matrix - 36:42
Lec 3 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Matrix Multiplication - 00:43
Block Matrix Multiplication - 18:19
Inverse Matrix - 21:21
Inverse of Square Matrix - 21:27
Gauss-Jordan Elimination - 35:39
Lec 4 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Lec 5 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Permutations (Linear Algebra) - 01:16
Transposes - 11:57
Vector Spaces - 21:43
Column Space - 40:42
Lec 6 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Vector Spaces - 01:01
Column Space - 11:34
Nullspace - 28:11
Lec 7 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Nullspace - 00:47
Computing Nullspace - 00:47
Reduced Row Echelon Form (RREF) - 19:26
Lec 8 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Lec 9 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Linear Independence - 04:24
Linear Spanning - 18:09
Basis - 22:01
Dimension (of a vector space) - 33:57
Lec 10 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Four Fundamental Subspaces - 04:35
Lec 11 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Small World Graphs - 39:13
Lec 12 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Graphs (Linear Algebra) - 02:34
Incidence Matrix - 05:30
Euler's Formula - 39:17
Lec 13 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Lec 14 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Orthogonal Vectors - 02:47
Orthogonal Subspaces - 13:24
Row Space and Null Space Ortho... - 20:35
Lec 15 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Vector Projection - 00:29
Applications of Projections - 15:58
Lec 16 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Projection Matrix - 00:12
Projections onto Subspaces - 05:42
Least Squares Regression - 08:44
A-Transpose x A Invertibility - 36:55
Lec 18 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Determinants - 00:49
Lec 19 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
General Formula for Determinan... - 16:38
Cofactor (Linear Algebra) - 29:01
Lec 20 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Cramer's Rule - 18:51
Finding Volume Using the Deter... - 28:28
Lec 21 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Eigenvectors - 00:52
Eigenvalues - 00:57
Eigenvalues of a Projection Ma... - 05:30
Finding Eigenvectors - 16:22
Eigenvalues of a Triangular Ma... - 46:05
Degenerate Matrix Eigenvectors - 48:08
Lec 22 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Diagonal Matrix - 01:41
Determining Diagoalizability - 17:27
Repeated Eigenvalues - 19:49
Lec 23 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Eigenvalue Stability - 16:50
Lec 24 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Markov Matrix - 00:48
Markov Matrix Eigenvalues - 03:59
Projections onto Orthonormal B... - 35:22
Fourier Series - 41:06
Lec 24b | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Lec 25 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Symmetric Matrices - 00:24
Symmetric Matrix Eigenvectors - 01:30
Positive Definite Matrix - 35:19
Lec 26 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Length of Complex Vectors - 03:31
Complex Vectors - 03:31
Hermitian Transpose - 07:44
Perpendicular Eigenvalues - 12:06
Fourier Matrix - 16:32
Fast Fourier Transform - 32:25
Lec 27 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Positive Definite Matrix - 01:44
Positive Definite Matrix Test - 01:44
Finding Minimums with Matrices - 24:48
Matrix of Second Derivatives - 35:17
Lec 28 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Positive Definite Matrix - 00:29
Origins of Positive Definite M... - 00:29
Similar Matrices - 12:11
Jordan Form - 26:45
Jordan Blocks - 39:53
Lec 29 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Singular Value Decomposition (... - 00:16
Lec 30 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Linear Transformations - 01:26
Rotation Transformation - 10:25
Linear Transformation Matrix - 29:20
Derivative as Linear Transform... - 45:59
Lec 31 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Fourier Basis - 11:05
Wavelets Basis - 21:37
Change of Basis - 35:44
Eigenvector Basis - 46:55
Lec 32 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Lec 33 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang
Concepts In This Lecture:
Two-Sided Inverses - 02:33
Left Inverses - 03:53
Right Inverses - 12:15
Finding the Pseudo-Inverse - 32:24
Lec 34 | MIT 18.06 Linear Algebra, Spring 2005
Topic:
Linear Algebra
Teacher:
Gilbert Strang