| 1 | Lecture 1: Errors, precision and accuracy | PDF unavailable |
| 2 | Lecture 2: Probability and distributions | PDF unavailable |
| 3 | Lecture 3: Gaussian distribution and integrals | PDF unavailable |
| 4 | Lecture4:Gaussian distribution, integrals, averages | PDF unavailable |
| 5 | Lecture 5: Practice problems 1 | PDF unavailable |
| 6 | Lecture 6: Vectors and Vector Spaces | PDF unavailable |
| 7 | Lecture 7: Linear Independence | PDF unavailable |
| 8 | Lecture 8: Scalar and vector fields | PDF unavailable |
| 9 | Lecture 9: Gradient, divergence and curl | PDF unavailable |
| 10 | Lecture 10: Practice problems 2 | PDF unavailable |
| 11 | Lecture 11: Line integrals, Potential Theory | PDF unavailable |
| 12 | Lecture 12: Surface and Volume Integrals | PDF unavailable |
| 13 | Lecture 13: Matrices | PDF unavailable |
| 14 | Lecture 14: Linear Systems, Cramer's Rule | PDF unavailable |
| 15 | Lecture 15: Practice Problems 3 | PDF unavailable |
| 16 | Lecture 16: Rank and Inverse of a Matrix | PDF unavailable |
| 17 | Lecture 17: Eigenvalues and Eigenvectors | PDF unavailable |
| 18 | Lecture 18: Special matrices | PDF unavailable |
| 19 | Lecture 19: Spectral decomposition and Normal modes | PDF unavailable |
| 20 | Lecture 20: Practice Problems 4 | PDF unavailable |
| 21 | Lecture 21: Differential equations, Order | PDF unavailable |
| 22 | Lecture 22: Exact and Inexact differentials | PDF unavailable |
| 23 | Lecture 23: Integrating Factors | PDF unavailable |
| 24 | Lecture 24: System of 1st order ODEs, matrix methods | PDF unavailable |
| 25 | Lecture 25: Practice Problems 5 | PDF unavailable |
| 26 | Lecture 26: Types of 2nd order ODEs, nature of solutions | PDF unavailable |
| 27 | Lecture 27: Homogeneous 2nd order ODEs | PDF unavailable |
| 28 | Lecture 28: Homogeneous and nonhomogeneous equations | PDF unavailable |
| 29 | Lecture 29: Nonhomogeneous equations – Variation of parameters | PDF unavailable |
| 30 | Lecture 30: Practice Problems 6 | PDF unavailable |
| 31 | Lecture 31: Power series method for solving Legendre DE | PDF unavailable |
| 32 | Lecture 32: Properties of Legendre Polynomials | PDF unavailable |
| 33 | Lecture 33: Associated Legendre Polynomials, Spherical Harmonics | PDF unavailable |
| 34 | Lecture 34: Hermite Polynomials, Solution of Quantum Harmonic Oscillator | PDF unavailable |
| 35 | Lecture 35: Practice Problems 7 | PDF unavailable |
| 36 | Lecture 36: Conditions for power series solution | PDF unavailable |
| 37 | Lecture 37: Frobenius Method, Bessel Functions | PDF unavailable |
| 38 | Lecture 38: Properties of Bessel Functions, circular boundary problems | PDF unavailable |
| 39 | Lecture 39: Leguerre Polynomials, solution to radial part of H-atom | PDF unavailable |
| 40 | Lecture 40: Practice Problems 8 | PDF unavailable |