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Mathematics for Machine Learning
English
Mathematics for Machine Learning
English
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Playlist (50 of 89 videos)
Playlist (50 of 89 videos)
1
Welcome!
3:09
2
(A) Linear algebra 1: Vector spaces
32:04
3
(A) Linear algebra 2: Basis and dimension
28:51
4
(A) Linear algebra 3: Direct sum
7:00
5
(A) Linear algebra 4: Linear maps, kernel, range
39:31
6
(A) Linear algebra 5: Matrices
20:38
7
(A) Linear algebra 6: Invertible maps and matrices
22:18
8
(A) Linear algebra 7: Transpose
7:09
9
(A) Linear algebra 8: Change of basis
21:16
10
(A) Linear algebra 9: Rank of a matrix
4:50
11
(A) Linear algebra 10: Quotient space; equivalence relation
29:14
12
(A) Linear algebra 11: Determinant
49:28
13
(A) Linear algebra 12: Eigenvalues
38:30
14
(A) Linear algebra 13: Characteristic polynomial
27:13
15
(A) Linear algebra 14: Trace of a matrix
19:53
16
(A) Linear algebra 15: Diagonalization; triangular matrices
17:06
17
(A) Linear algebra 16: Metric spaces
30:46
18
(A) Linear algebra 17: Normed spaces; p-norms
18:31
19
(A) Linear algebra 18: Norms on R^d are equivalent
19:56
20
(A) Linear algebra 19: Convex set induces a norm
43:43
21
(A) Linear algebra 20: Spaces of continuous and differentiable functions
15:06
22
(A) Linear algebra 21: Lp-spaces of integrable functions
51:06
23
(A) Linear algebra 22: Scalar product
16:28
24
(A) Linear algebra 23: Orthogonal vectors and basis
31:17
25
(A) Linear algebra 24: Orthogonal matrices
20:17
26
(A) Linear algebra 25: Symmetric matrices
25:55
27
(A) Linear algebra 26: Spectral theorem for symmetric matrices
15:52
28
(A) Linear algebra 27: Positive definite matrices
19:29
29
(A) Linear algebra 28: Variational characterization of eigenvalues
31:49
30
(A) Linear Algebra 29: Singular value decomposition
31:25
31
(A) Linear Algebra 30: Rank-k-approximation, matrix norms
17:30
32
(A) Linear Algebra 31: Pseudo-inverse of a matrix
15:47
33
(A) Linear Algebra 32: Continuous linear functionals and operator norm
23:49
34
(A) Linear Algebra 33: Dual space, Riesz representation theorem
25:28
35
(C) Calculus 1: Sequences and convergence
31:55
36
(C) Calculus 2: Continuity
28:12
37
(C) Calculus 3: Sequences of functions; pointwise and uniform convergence
16:28
38
(C) Calculus 4: Differentiation on R
21:57
39
(C) Calculus 5: Riemann integral on R
27:07
40
(C) Calculus 6: Fundamental theorem of calculus on R
33:24
41
(C) Calculus 7: Power series
35:11
42
(C) Calculus 8: Taylor series
44:45
43
(C) Calculus 9: Sigma-Algebra
23:39
44
(C) Calculus 10: Measure
31:55
45
(C) Calculus 11: Lebesgue measure on R^n
45:24
46
(C) Calculus 12: A set that is not Lebesgue-measurable
24:11
47
(C) Calculus 13: The Lebesgue integral on R^n
28:43
48
(C) Calculus 14: Differentiation on R^n: partial derivatives
21:28
49
(C) Calculus 15: Differentiation on R^n: total derivative
13:53
50
(C) Calculus 16: Differentiation on R^n: directional derivative
9:25
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