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Week 1: Error Analysis, Probability and DistributionsExamSet1ExamSet1160
Week 1: Error Analysis, Probability and DistributionsSolutionSet1SolutionSet147
Week 1: Error Analysis, Probability and DistributionsExamSet2ExamSet2160
Week 1: Error Analysis, Probability and DistributionsSolutionSet2SolutionSet247

Sl.No Chapter Name English
1Lecture 1: Errors, precision and accuracyPDF unavailable
2Lecture 2: Probability and distributionsPDF unavailable
3Lecture 3: Gaussian distribution and integralsPDF unavailable
4Lecture4:Gaussian distribution, integrals, averagesPDF unavailable
5Lecture 5: Practice problems 1PDF unavailable
6Lecture 6: Vectors and Vector SpacesPDF unavailable
7Lecture 7: Linear IndependencePDF unavailable
8Lecture 8: Scalar and vector fieldsPDF unavailable
9Lecture 9: Gradient, divergence and curlPDF unavailable
10Lecture 10: Practice problems 2PDF unavailable
11Lecture 11: Line integrals, Potential TheoryPDF unavailable
12Lecture 12: Surface and Volume Integrals PDF unavailable
13Lecture 13: MatricesPDF unavailable
14Lecture 14: Linear Systems, Cramer's RulePDF unavailable
15Lecture 15: Practice Problems 3PDF unavailable
16Lecture 16: Rank and Inverse of a MatrixPDF unavailable
17Lecture 17: Eigenvalues and Eigenvectors PDF unavailable
18Lecture 18: Special matricesPDF unavailable
19Lecture 19: Spectral decomposition and Normal modes PDF unavailable
20Lecture 20: Practice Problems 4 PDF unavailable
21Lecture 21: Differential equations, OrderPDF unavailable
22Lecture 22: Exact and Inexact differentialsPDF unavailable
23Lecture 23: Integrating FactorsPDF unavailable
24Lecture 24: System of 1st order ODEs, matrix methods PDF unavailable
25Lecture 25: Practice Problems 5 PDF unavailable
26Lecture 26: Types of 2nd order ODEs, nature of solutionsPDF unavailable
27Lecture 27: Homogeneous 2nd order ODEsPDF unavailable
28Lecture 28: Homogeneous and nonhomogeneous equationsPDF unavailable
29Lecture 29: Nonhomogeneous equations – Variation of parametersPDF unavailable
30Lecture 30: Practice Problems 6PDF unavailable
31Lecture 31: Power series method for solving Legendre DE PDF unavailable
32Lecture 32: Properties of Legendre Polynomials PDF unavailable
33Lecture 33: Associated Legendre Polynomials, Spherical HarmonicsPDF unavailable
34Lecture 34: Hermite Polynomials, Solution of Quantum Harmonic Oscillator PDF unavailable
35Lecture 35: Practice Problems 7PDF unavailable
36Lecture 36: Conditions for power series solutionPDF unavailable
37Lecture 37: Frobenius Method, Bessel FunctionsPDF unavailable
38Lecture 38: Properties of Bessel Functions, circular boundary problemsPDF unavailable
39Lecture 39: Leguerre Polynomials, solution to radial part of H-atomPDF unavailable
40Lecture 40: Practice Problems 8PDF unavailable