Learn · Chemistry: Atomic Structure and Chemical Bonding

Lecture 5 of 59Week 1

Lecture 5: Elementary Mathematics: Introduction to Matrix Algebra - Part 1

Prof. K. Mangala Sundar · IIT Madras

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Chemistry: Atomic Structure and Chemical Bonding, IIT Madras (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures

  1. Lecture 1: Welcome Video
  2. Lecture 2: Elementary Mathematical Functions Used in Our Course Video
  3. Lecture 3: Schrodinger Equation: Particle in a One Dimensional Box Video
  4. Lecture 4: Particle in a One dimensional Box: Probabilities and Expectation Values Video
  5. Lecture 5: Elementary Mathematics: Introduction to Matrix Algebra - Part 1 Video
  6. Lecture 5: Elementary Mathematics: Introduction to Matrix Algebra - Part 2 Video
  7. Lecture 6: Elementary Mathematics: Matrix Eigenvalues and Eigenfunctions: Part I Video
  8. Lecture 7: Elementary Mathematics: Matrix Eigenvalues and Eigenfunctions: Part II Video
  9. Lecture 8: Particle in a Two Dimensional Box (Infinite Barrier) Video
  10. Lecture 9: Heisenberg's Uncertainty Principle Video
  11. Lecture 10: Expectation Values and Postulates in Quantum Mechanics Video
  12. Lecture 11: Problems and Solutions for Particle in One and Two Dimensional Boxes Video
  13. Lecture 12: Linear Vector Spaces: Matrix Representations Video
  14. Lecture 13: Linear Vector Spaces and Operators: Dirac's Bracket Notation Video
  15. Lecture 14: Simple Harmonic Oscillator: Classical Hamiltonian Video
  16. Lecture 15: Simple Harmonic Oscillator: Quantum Mechanical Solutions Video
  17. Lecture 16: Simple Harmonic Oscillator: Wave Functions, Probabilities and Average Values Video
  18. Lecture 17: Simple Harmonic Oscillator: Average Values for Position and Momentum Video
  19. Lecture 18: Particle on a Ring: The Quantum Model Video
  20. Lecture 19: Particle on a Ring: Expectation Values for Angular Momentum Video
  21. Lecture 20: Coordinate Transformation Video
  22. Lecture 21: Problems and Solutions for Harmonic Oscillator Video
  23. Lecture 22 - Hydrogen Atom: The Hamiltonian in Spherical Polar Coordinates Video
  24. Lecture 23 - Hydrogen Atom: Separation of the Schrödinger Equation Video
  25. Lecture 24 - Hydrogen Atom: Radial and Angular Solutions and Animations Part I Video
  26. Lecture 25 - Hydrogen Atom: Radial and Angular Solutions and Animations Part II Video
  27. Lecture 26 - Hydrogen Atom: Radial Solutions and Probabilities Video
  28. Lecture 27 - Power Series Method for Differential Equation - I Video
  29. Lecture 28 - Hermite's Differential Equation Video
  30. Lecture 29 - Legendre and Associated Legendre Equation Video
  31. Lecture 30 - Born-Oppenheimer Approximation Video
  32. Lecture 31 - Introduction to Angular Momentum Video
  33. Lecture 32 - Spin ½ Angular Momentum Video
  34. Lecture 33 - Spin Angular Momentum and Coupling of Two Spin-1/2 Angular Momenta Video
  35. Lecture 34 - Coupling of Two Angular Momenta Video
  36. Lecture 35 - Video Tutorial for Hermite polynomials and hydrogen atom Part 1 Video
  37. Lecture 36 - Video Tutorials Part 2 Video
  38. Lecture 37 - Variational Principle in Quantum Chemistry: Linear superposition Principle Video
  39. Lecture 38 - Introduction to Variational Principle in Quantum Chemistry Video
  40. Lecture 39 - Variational Method: Method of Lagrange Multipliers Video
  41. Lecture 40 - Hydrogen Molecule Ion: The Molecular Orbital Method Video
  42. Lecture 41 - Hydrogen Molecule Ion: Calculations and Results Video
  43. Lecture 42 - Hydrogen Molecule: The Valence Bond Method Video
  44. Lecture 43 - Hydrogen Molecule: Calculations and Molecular Orbital Method Video
  45. Lecture 44: Video Tutorials on Angular Momentum (Orbital and Spin) and Variational Method Part 1 Video
  46. Lecture 45: Video Tutorials on Angular Momentum (Orbital and Spin) and Variational Method Part 2 Video
  47. Lecture 46: Introduction to Quantum Mechanical Perturbation Theory Video
  48. Lecture 47: First Order Time Independent perturbation Theory for Non-Degenerate states Video
  49. Lecture 48: First and Second Order Time Independent Perturbation Theory for Non-Degenerate States Video
  50. Lecture 49: First and Second Order Time Independent Perturbation Theory: Simple Examples Video
  51. Lecture 50: Time Independent Perturbation Theory for Degenerate States: First Order Video
  52. Lecture 51: General MO method for Homonuclear Diatomic Molecules Video
  53. Lecture 52: General MO method for Heteronuclear Diatomic Molecules Video
  54. Lecture 53: Introduction to Hybridization and Valence Bond for Polyatomic Molecules Video
  55. Lecture 54: HÃœckel Molecular Orbital Theory I Video
  56. Lecture 55: HÃœckel Molecular Orbital Theory II Video
  57. Live Session 14-02-2022 Video
  58. Live Session 25-02-2022 Video
  59. Live Session 04-08-2022 Video