
Lecture 1: Probability and Counting | Statistics 110
Harvard University1.81M viewsLecture 1 of Joe Blitzstein's Harvard Statistics 110: probability and counting.
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Lecture 1 of Joe Blitzstein's Harvard Statistics 110: probability and counting.
1:23:01MIT 8.04, lecture 19: Identical particles, bosons, fermions and the Pauli principle.

Biochemist Nick Lane explains the Krebs cycle and its central role in metabolism, ageing and cancer.
1:20:12MIT 8.04, lecture 2: The experimental facts that force quantum mechanics: interference, the photoelectric effect and electron diffraction.
1:22:19MIT 8.04, lecture 6: Time evolution of states and stationary states.
1:20:07MIT 8.04, lecture 18: The hydrogen atom and where the simple model falls short.
50:14MIT 18.06, lecture 9: Linear independence, basis and dimension.
1:20:07MIT 8.04, lecture 4: Expectation values, the momentum operator and the uncertainty relation.
49:48MIT 18.06, lecture 14: Orthogonal vectors and subspaces, and why the row space is orthogonal to the nullspace.

Lecture 2 of Robert Sapolsky's Stanford course Human Behavioral Biology: evolutionary approaches to behaviour, kin selection and reciprocal altruism.
53:17MIT 18.06, lecture 19: The big formula for determinants and cofactor expansion.
41:35MIT 18.06, lecture 29: The singular value decomposition.
50:14MIT 18.06, lecture 31: Change of basis, with image compression and wavelets as the application.
51:23MIT 18.06, lecture 21: Eigenvalues and eigenvectors, the characteristic equation and examples.
51:12MIT 18.06, lecture 24: Markov matrices and their steady states, plus Fourier series as projection onto orthogonal functions.
47:57MIT 18.06, lecture 12: Incidence matrices of graphs and networks, linking the four subspaces to Kirchhoff's laws.
47:52MIT 18.06, lecture 26: Complex matrices, Hermitian matrices and the fast Fourier transform.
49:12MIT 18.06, lecture 18: The defining properties of determinants and the rules that follow from them.
41:53MIT 18.06, lecture 33: Left and right inverses and the pseudoinverse.
1:20:38MIT 8.04, lecture 16: Spherical harmonics and angular momentum eigenstates continued.
1:23:48MIT 8.04, lecture 12: The delta-function well and scattering from a finite step.
1:22:10MIT 8.04, lecture 23: Spin-1/2, Stern-Gerlach experiments and spin operators.
48:05MIT 18.06, lecture 16: Projection matrices and fitting a line by least squares.
1:22:45MIT 8.04, lecture 24: Entanglement, the EPR argument, Bell's inequality and quantum computing.
1:22:21MIT 8.04, lecture 21: Energy bands in periodic lattices.
47:42MIT 18.06, lecture 5: Transposes, permutation matrices and the idea of a vector space and subspace.
43:52MIT 18.06, lecture 25: Symmetric matrices, real eigenvalues and orthogonal eigenvectors, and the start of positive definiteness.
1:17:55MIT 8.04, lecture 3: The wave function, its probability interpretation and normalization.
1:24:42MIT 8.04, lecture 15: Angular momentum operators and their eigenstates.
45:56MIT 18.06, lecture 28: Similar matrices and the Jordan form.
49:27MIT 18.06, lecture 30: Linear transformations and the matrices that represent them.
1:24:20MIT 8.04, lecture 20: Particles in periodic potentials and Bloch's theorem.
50:40MIT 18.06, lecture 27: Positive definite matrices, the tests for them and their link to minima.

Sean Carroll traces the history of quantum mechanics from Planck to the measurement problem.
51:50MIT 18.06, lecture 22: Diagonalization and computing powers of a matrix, with Fibonacci as the example.
51:03MIT 18.06, lecture 23: Solving linear differential equations with eigenvalues and the matrix exponential.
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