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

Sl.No Chapter Name English
1Lecture 1: Vectors, Vector Operations and Linear IndependencePDF unavailable
2Lecture 2: Vector Operations, Generalization of VectorsPDF unavailable
3Lecture 3: Vector Differentiation, Vector TransformationsPDF unavailable
4Lecture 4: Vector Integration, Line, Surface and Volume IntegralsPDF unavailable
5Lecture 5: Practice ProblemsPDF unavailable
6Lecture 6: Matrix as a vector transformation, linear system PDF unavailable
7Lecture 7: Special Matrices: Symmetric, Orthogonal, ComplexPDF unavailable
8Lecture 8: Rotational Matrices, Eigenvalues and EigenvectorsPDF unavailable
9Lecture 9: Determinants, Matrix InversePDF unavailable
10Lecture 10: Practice ProblemsPDF unavailable
11Lecture 11: Step Function, Delta FunctionPDF unavailable
12 Lecture 12 : Gamma Function, Error FunctionPDF unavailable
13Lecture 13: Spherical Polar CoordinatesPDF unavailable
14Lecture 14: Cylindrical Polar Coordinates, IntegralsPDF unavailable
15Lecture 15: Recap of Module 3, Practice ProblemsPDF unavailable
16Lecture 16: ODEs and PDEs, First order ODEs, system of 1st order ODEsPDF unavailable
17Lecture 17: First order ODEs, exact integrals, integrating factorsPDF unavailable
18Lecture 18: System of first order ODEs, Linear first order ODEsPDF unavailable
19Lecture 19: General solution of a system of linear first order ODEs with constant coefficientsPDF unavailable
20Lecture 20: Recap of Module 4, Practice problemsPDF unavailable
21Lecture 21: Homogeneous 2nd Order ODE, Basis FunctionsPDF unavailable
22Lecture 22: Nonhomogeneous 2nd Order ODEPDF unavailable
23Lecture 23: Power Series Method of Solving ODEsPDF unavailable
24Lecture 24: Frobenius Method / Power Series MethodPDF unavailable
25Lecture 25: Time-independent Schrodinger Equation for H-atomPDF unavailable
26Lecture 26: Maxima and Minima, Taylor SeriesPDF unavailable
27Lecture 27: Taylor Series for functions of several variablesPDF unavailable
28Lecture 28: Critical Points of FunctionsPDF unavailable
29Lecture 29: Lagranges Method of Undetermined MultipliersPDF unavailable
30Lecture 30: Recap of Module 6, Practice ProblemsPDF unavailable
31Lecture 31: Nonlinear Differential EquationsPDF unavailable
32Lecture 32: Phase Plane of A PendulumPDF unavailable
33Lecture 33: Stability of Critical PointsPDF unavailable
34Lecture 34: Population Dynamics ModelsPDF unavailable
35Lecture 35: Recap of Module 7, Practice ProblemsPDF unavailable
36Lecture 36: Fourier Series, Fourier Expansion of Periodic FunctionsPDF unavailable
37Lecture 37 (Part A): Fourier Expansions and Differential EquationsPDF unavailable
38Lecture 37 (Part B): Fourier Expansions and Differential EquationsPDF unavailable
39Lecture 38: Orthogonal Eigenfunctions, Sturm-Liouville TheoryPDF unavailable
40Lecture 39: Recap of Module 8, Practice ProblemsPDF unavailable
41Lecture 40: Fourier TransformsPDF unavailable
42Lecture 41: Properties of Fourier TransformsPDF unavailable
43Lecture 42: Fourier Transforms and Partial Differential EquationsPDF unavailable
44Lecture 43: Laplace TransformsPDF unavailable
45Lecture 44: Recap of Module 9, Practice ProblemsPDF unavailable
46Lecture 45: Partial Differential Equations, Boundary ConditionsPDF unavailable
47Lecture 46: Separation of VariablesPDF unavailable
48Lecture 47 (Part A): Two-dimensional Wave Equation, Bessel FunctionsPDF unavailable
49Lecture 47 (Part B): Two-dimensional Wave Equation, Bessel FunctionsPDF unavailable
50Lecture 48: Recap of Module 10, Practice ProblemsPDF unavailable
51Lecture 49: Discrete and Continuous Random VariablesPDF unavailable
52Lecture 50: Probability Distribution FunctionsPDF unavailable
53Lecture 51: Poisson Distribution, Gaussain DistributionPDF unavailable
54Lecture 52: Error Estimates, Least Square Fit, Correlation FunctionsPDF unavailable
55Lecture 53: Recap of Module 11, Practice ProblemsPDF unavailable


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