Modules / Lectures
Module NameDownloadDescriptionDownload Size
Week 1: Vectors, linear independence, vector differentiation and transfomationWeek -1Week-1 Lecture Notes493 kb
Week 2: Matrices, Linear Transformations, Special Matrices, EigenvaluesWeek-2Week -2 Lecture Notes5877 kb
Week 3: Special FunctionsWeek -3Week -3 Lecture Notes761 kb
Week 4:1st order ODEsWeek-4Week-4 Lecture Notes1068 kb
Week 5: 2nd Order ODEs, Power Series MethodWeek -5(part 1)Week-5 Lecture Notes(part 1)485 kb
Week 5: 2nd Order ODEs, Power Series MethodWeek -5(part 2)Week-5 Lecture Notes(part 2)415 kb
Week 5: 2nd Order ODEs, Power Series MethodWeek -5(part 3)Week-5 Lecture Notes(part 3)324 kb
Week 6: Optimization, Constrained OptimizationWeek -6 (part 1)Week-6 Lecture Notes(part 1)470 kb
Week 6: Optimization, Constrained OptimizationWeek -6 (part 2)Week-6 Lecture Notes(part 2)421 kb
Week 7: Nonlinear Differential Equations, Phase Plane, Stability AnalysisWeek -7 (part 1)Week-7 Lecture Notes(part 1)468 kb
Week 7: Nonlinear Differential Equations, Phase Plane, Stability AnalysisWeek -7 (part 2)Week-7 Lecture Notes(part 2)464 kb
Week 8: Fourier Series, Orthogonal Eigenfunctions, Sturm-Liouville TheoryWeek -8 (part 1)Week-8 Lecture Notes(part 1)346 kb
Week 8: Fourier Series, Orthogonal Eigenfunctions, Sturm-Liouville TheoryWeek -8 (part 2)Week-8 Lecture Notes(part 2)326 kb
Week 8: Fourier Series, Orthogonal Eigenfunctions, Sturm-Liouville TheoryWeek -8 (part 3)Week-8 Lecture Notes(part 3)365 kb
Week 9: Integral TransformsWeek -9 (part 1)Week 9: Lecture Notes (part 1)432 kb
Week 9: Integral TransformsWeek - 9 (part 2)Week 9: Lecture Notes (part 2)482 kb
Week 10:Partial Differential EquationsWeek -10 (part 1)Week 10: Lecture Notes (part 1)452 kb
Week 10:Partial Differential EquationsWeek -10 (part2)Week 10: Lecture Notes (part 2)443 kb
Week 11: Probability, Probability Distributions and Error AnalysisWeek -11 (part 1)Week 11: Lecture Notes (part 1)402 kb
Week 11: Probability, Probability Distributions and Error AnalysisWeek -11 (part 2)Week 11: Lecture Notes (part 2)474 kb


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Sl.No Chapter Name English
1Lecture 1: Vectors, Vector Operations and Linear IndependenceDownload
To be verified
2Lecture 2: Vector Operations, Generalization of VectorsDownload
To be verified
3Lecture 3: Vector Differentiation, Vector TransformationsDownload
To be verified
4Lecture 4: Vector Integration, Line, Surface and Volume IntegralsDownload
To be verified
5Lecture 5: Practice ProblemsDownload
To be verified
6Lecture 6: Matrix as a vector transformation, linear system Download
To be verified
7Lecture 7: Special Matrices: Symmetric, Orthogonal, ComplexDownload
To be verified
8Lecture 8: Rotational Matrices, Eigenvalues and EigenvectorsDownload
To be verified
9Lecture 9: Determinants, Matrix InverseDownload
To be verified
10Lecture 10: Practice ProblemsDownload
To be verified
11Lecture 11: Step Function, Delta FunctionDownload
To be verified
12 Lecture 12 : Gamma Function, Error FunctionDownload
To be verified
13Lecture 13: Spherical Polar CoordinatesDownload
To be verified
14Lecture 14: Cylindrical Polar Coordinates, IntegralsDownload
To be verified
15Lecture 15: Recap of Module 3, Practice ProblemsDownload
To be verified
16Lecture 16: ODEs and PDEs, First order ODEs, system of 1st order ODEsDownload
To be verified
17Lecture 17: First order ODEs, exact integrals, integrating factorsDownload
To be verified
18Lecture 18: System of first order ODEs, Linear first order ODEsDownload
To be verified
19Lecture 19: General solution of a system of linear first order ODEs with constant coefficientsDownload
To be verified
20Lecture 20: Recap of Module 4, Practice problemsDownload
To be verified
21Lecture 21: Homogeneous 2nd Order ODE, Basis FunctionsDownload
To be verified
22Lecture 22: Nonhomogeneous 2nd Order ODEDownload
To be verified
23Lecture 23: Power Series Method of Solving ODEsDownload
To be verified
24Lecture 24: Frobenius Method / Power Series MethodDownload
To be verified
25Lecture 25: Time-independent Schrodinger Equation for H-atomDownload
To be verified
26Lecture 26: Maxima and Minima, Taylor SeriesDownload
To be verified
27Lecture 27: Taylor Series for functions of several variablesDownload
To be verified
28Lecture 28: Critical Points of FunctionsDownload
To be verified
29Lecture 29: Lagranges Method of Undetermined MultipliersDownload
To be verified
30Lecture 30: Recap of Module 6, Practice ProblemsDownload
To be verified
31Lecture 31: Nonlinear Differential EquationsDownload
To be verified
32Lecture 32: Phase Plane of A PendulumDownload
To be verified
33Lecture 33: Stability of Critical PointsDownload
To be verified
34Lecture 34: Population Dynamics ModelsDownload
To be verified
35Lecture 35: Recap of Module 7, Practice ProblemsDownload
To be verified
36Lecture 36: Fourier Series, Fourier Expansion of Periodic FunctionsDownload
To be verified
37Lecture 37 (Part A): Fourier Expansions and Differential EquationsDownload
To be verified
38Lecture 37 (Part B): Fourier Expansions and Differential EquationsDownload
To be verified
39Lecture 38: Orthogonal Eigenfunctions, Sturm-Liouville TheoryDownload
To be verified
40Lecture 39: Recap of Module 8, Practice ProblemsDownload
To be verified
41Lecture 40: Fourier TransformsDownload
To be verified
42Lecture 41: Properties of Fourier TransformsDownload
To be verified
43Lecture 42: Fourier Transforms and Partial Differential EquationsDownload
To be verified
44Lecture 43: Laplace TransformsDownload
To be verified
45Lecture 44: Recap of Module 9, Practice ProblemsDownload
To be verified
46Lecture 45: Partial Differential Equations, Boundary ConditionsDownload
To be verified
47Lecture 46: Separation of VariablesDownload
To be verified
48Lecture 47 (Part A): Two-dimensional Wave Equation, Bessel FunctionsDownload
To be verified
49Lecture 47 (Part B): Two-dimensional Wave Equation, Bessel FunctionsDownload
To be verified
50Lecture 48: Recap of Module 10, Practice ProblemsDownload
To be verified
51Lecture 49: Discrete and Continuous Random VariablesDownload
To be verified
52Lecture 50: Probability Distribution FunctionsDownload
To be verified
53Lecture 51: Poisson Distribution, Gaussain DistributionDownload
To be verified
54Lecture 52: Error Estimates, Least Square Fit, Correlation FunctionsDownload
To be verified
55Lecture 53: Recap of Module 11, Practice ProblemsDownload
To be verified


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