Modules / Lectures

Sl.No Chapter Name English
1Lecture 01: Preliminaries and Data typesDownload
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2Lecture 02: Loops and Conditionals Implementation of bubble sortDownload
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3Lecture 03: Commonly used FunctionsDownload
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4Lecture 04: Matrix Manipulations Mohr's circleDownload
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5Lecture 05: Nonlinear algebraic equations - Visualizing convergenceDownload
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6Lecture 06: Nonlinear algebraic equations - system of equation and Newton's basin of attractionDownload
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7Lecture 07: Overview of Jupyterlab, Octave GUI, Spyder GUIDownload
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8Lecture 08: Interactivity with Python - IpywidgetsDownload
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9Lecture 09: Geometric Interpretations of ODEsDownload
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10Lecture 10: Bifurcations: Saddle node bifurcationDownload
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11Lecture 11: Bifurcation: Transcritical bifurcation Download
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12Lecture 12: Bifurcation: Pitchfork bifurcationDownload
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13Lecture 13: Imperfect bifurcations and catastrophiesDownload
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14Lecture 14: 2D flows - linear systemsDownload
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15Lecture 15: 2D flows - Trajectories: spirals, star and degeneracyDownload
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16Lecture 16: Phase portraits - nonlinear systemsDownload
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17Lecture 17: 2D phase portraits - limit cyclesDownload
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18Lecture 18: Bifurcations and 3D flowsDownload
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19Lecture 19: 1D MapsDownload
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20Lecture 20: Probability density functions and samplingDownload
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21Lecture 21: Monte-carlo simulations: Darts and Buffon's needlePDF unavailable
22Lecture 22: 1D Random walksPDF unavailable
23Lecture 23: 2D Random walksPDF unavailable
24Lecture 24: Boundary Value ProblemsPDF unavailable
25Lecture 25: Boundary Value Problems - p2PDF unavailable
26Lecture 26: Regular Perturbation for ODEPDF unavailable
27Lecture 27: Singular Perturbation for ODEPDF unavailable
28Lecture 28: 2D Boundary Values ProblemsPDF unavailable
29Lecture 29: PETSc and MPI basicsPDF unavailable
30Lecture 30: PETSc - Creating Vectors and MatricesPDF unavailable
31Lecture 31: KSP object and solving a systemPDF unavailable
32Lecture 32: Poisson equation in PETScPDF unavailable
33Lecture 33: Nonlinear Solver of PETScPDF unavailable
34Lecture 34: Nonlinear solver with Jacobian in PETScDownload
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35Lecture 35: Reaction-diffusion system in PETScDownload
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36Lecture 36: Time stepping in PETScDownload
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37Lecture 37: Heat transport using PETScPDF unavailable
38Lecture 38: Solving nonlinear PDE on a periodic domain yielding different patternsPDF unavailable
39Lecture 39: Audio analysis - Determine motor RPMDownload
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40Lecture 40: Spectrogram and Doppler shiftDownload
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41Lecture 41: Image processing - PreliminariesDownload
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42Lecture 42: Balloon problem and viscous fingersDownload
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43Lecture 43: Analyzing data files and 2D interpolationDownload
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