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Student Video: Quantum Time Evolution Using the Split Operator Fourier Transform Algorithm12:28552
Student Video: Mohr's Circles10:25547
Student Video: Crystallography, a Visualisation Tool for CS, BCC and FCC Bravais Lattice Structures.12:58301
Student Video: Nanoparticle-polymer Network12:59331
Student Video: Particle in a Tube4:33403
Video del estudiante: Una introducción básica y divertida a las estructuras cristalinas (español)11:22131
Student Video: Hooke's Law in Cubic Solids6:42161
Student Video: Thin Film Rainbows10:55558
Student Video: Visualizing the Energies of Screw Dislocations10:80721
Student Video: Mohr’s Circle9:40337
Student Video: A Basic and Fun Introduction to Crystalline Structures (English)11:27198
Student Video: Real and Reciprocal Space in 2D and 3D7:18599
Student Video: 2D Brillouin Zones10:18972
Vidéo étudiante: Transfert de chaleur dans un matériau11:59166
Video de l'estudiant: superfícies d'energia potencial15:19576
Student Video: Fluid Flow in Pipes and Rivers6:21406
36. Alan Edelman and Julia Language38:117,744
35. Finding Clusters in Graphs34:496,798
34. Distance Matrices, Procrustes Problem29:173,154
33. Neural Nets and the Learning Function56:706,219
32. ImageNet is a Convolutional Neural Network (CNN), The Convolution Rule47:194,940
31. Eigenvectors of Circulant Matrices: Fourier Matrix52:372,835
30. Completing a Rank-One Matrix, Circulants!49:532,592
26. Structure of Neural Nets for Deep Learning53:176,457
27. Backpropagation: Find Partial Derivatives52:384,199
25. Stochastic Gradient Descent53:306,049
24. Linear Programming and Two-Person Games53:343,739
23. Accelerating Gradient Descent (Use Momentum)49:204,203
22. Gradient Descent: Downhill to a Minimum52:444,498
21. Minimizing a Function Step by Step53:453,824
20. Definitions and Inequalities55:103,195
19. Saddle Points Continued, Maxmin Principle52:132,796
18. Counting Parameters in SVD, LU, QR, Saddle Points49:003,326
17. Rapidly Decreasing Singular Values50:344,763
16. Derivatives of Inverse and Singular Values43:803,432
15. Matrices A(t) Depending on t, Derivative = dA/dt50:524,479
14. Low Rank Changes in A and Its Inverse50:344,778
13. Randomized Matrix Multiplication52:244,961
12. Computing Eigenvalues and Singular Values49:285,519
11. Minimizing _x_ Subject to Ax = b50:226,142
10. Survey of Difficulties with Ax = b49:366,925
9. Four Ways to Solve Least Squares Problems49:519,581
8. Norms of Vectors and Matrices49:2113,033
6. Singular Value Decomposition (SVD)53:3416,066
5. Positive Definite and Semidefinite Matrices45:2712,379
4. Eigenvalues and Eigenvectors48:5617,364
3. Orthonormal Columns in Q Give Q'Q = I49:2415,470
2. Multiplying and Factoring Matrices48:2627,556
1. The Column Space of A Contains All Vectors Ax52:1562,208
Course Introduction of 18.065 by Professor Strang7:40125,086
34. Electronic Spectroscopy and Photochemistry50:271,133
24. Baumol's Disease1:21:40855
22. Public Transportation Systems1:23:20673
21. Fare Policy, Structure, and Technology1:22:25254
20. Transit Service Reliability1:28:50207
19. Transit Signal Priority1:23:40270
17. Customer Information Strategies1:23:40244
13. Vehicle Scheduling54:19398
10. Origin, Destination, and Transfer Inference1:24:20180
9. Performance Models1:21:54228
8. Ridership Forecasting1:18:70213
7. Cost Estimation1:24:17562
6. Modal Capacities and Costs55:49219
5. Short-range Planning (cont.)1:15:39230
4. Short-range Planning1:03:34423
3. Modal Characteristics and Roles1:16:50527
2. Data Collection Techniques and Program Design1:28:101,921
1. Introduction (for 1.258J Public Transportation Systems, Spring 2017)48:2513,874
Spring 2019 Update from the Dean5:1312,145
Innovación en tecnología pública con implementación en el mundo real1:211,087
Innovations Across the Agriculture Value Chain: An Opportunity for Entrepreneurs11:17981
An Interview with Anjali Sastry on Facilitating a Customized Learning Experience for Sloan Fellows19:132,907
Usando a tecnologia para melhorar a agricultura de pequeno porte no Brasil1:10582
Using Technology to Improve Small Farming in Brazil8:101,023
Public Tech Innovation with Real-world Implementation7:41489
Happy Pi Day!1:6011,147
Pi Day is almost here!0:2312,184
Pi is...1:2212,956
L1.1 General problem. Non-degenerate perturbation theory22:5653,545
L14.1 Gauge invariance of the Schrodinger Equation21:904,272
L13.1 Transition rates induced by thermal radiation17:511,575
L22.2 First Born Approximation. Calculation of the scattering amplitude13:304,405
L4.2 The uncoupled and coupled basis states for the spectrum17:121,811
L6.5 Semiclassical approximation and local de Broglie wavelength23:301,788
L19.2 Energy eigenstates: incident and outgoing waves. Scattering amplitude25:301,521
L7.4 Connection formula stated and example21:101,396
L19.4 Differential as a sum of partial waves17:472,078
L17.4 Molecules and energy scales17:581,134
L2.3 Degenerate Perturbation theory: Example and setup25:214,688
L12.5 Atom-light interactions: dipole operator11:111,101
L19.1 Elastic scattering defined and assumptions15:361,851
L3.3 Degeneracy resolved to second order18:281,371
L24.3 The symmetrization postulate11:39731
L8.1 Airy functions as integrals in the complex plane17:551,361
L16.5 Landau-Zener transitions (continued)14:191,018
L16.3 Error in the adiabatic approximation14:22978
L1.4 First order correction to the state. Second order correction to energy13:454,542
L9.2 The interaction picture equation in an orthonormal basis15:701,023
L2.1 Remarks and validity of the perturbation series22:283,197
L11.4 Ionization of hydrogen: matrix element for transition22:21669



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