Modules / Lectures

Sl.No | Chapter Name | English |
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1 | Lecture 01: Preliminaries and Data types | Download Verified |

2 | Lecture 02: Loops and Conditionals Implementation of bubble sort | Download Verified |

3 | Lecture 03: Commonly used Functions | Download Verified |

4 | Lecture 04: Matrix Manipulations Mohr's circle | Download Verified |

5 | Lecture 05: Nonlinear algebraic equations - Visualizing convergence | Download Verified |

6 | Lecture 06: Nonlinear algebraic equations - system of equation and Newton's basin of attraction | Download Verified |

7 | Lecture 07: Overview of Jupyterlab, Octave GUI, Spyder GUI | Download Verified |

8 | Lecture 08: Interactivity with Python - Ipywidgets | Download Verified |

9 | Lecture 09: Geometric Interpretations of ODEs | Download Verified |

10 | Lecture 10: Bifurcations: Saddle node bifurcation | Download Verified |

11 | Lecture 11: Bifurcation: Transcritical bifurcation | Download Verified |

12 | Lecture 12: Bifurcation: Pitchfork bifurcation | Download Verified |

13 | Lecture 13: Imperfect bifurcations and catastrophies | Download Verified |

14 | Lecture 14: 2D flows - linear systems | Download Verified |

15 | Lecture 15: 2D flows - Trajectories: spirals, star and degeneracy | Download Verified |

16 | Lecture 16: Phase portraits - nonlinear systems | Download Verified |

17 | Lecture 17: 2D phase portraits - limit cycles | Download Verified |

18 | Lecture 18: Bifurcations and 3D flows | Download Verified |

19 | Lecture 19: 1D Maps | Download Verified |

20 | Lecture 20: Probability density functions and sampling | Download Verified |

21 | Lecture 21: Monte-carlo simulations: Darts and Buffon's needle | PDF unavailable |

22 | Lecture 22: 1D Random walks | PDF unavailable |

23 | Lecture 23: 2D Random walks | PDF unavailable |

24 | Lecture 24: Boundary Value Problems | PDF unavailable |

25 | Lecture 25: Boundary Value Problems - p2 | PDF unavailable |

26 | Lecture 26: Regular Perturbation for ODE | PDF unavailable |

27 | Lecture 27: Singular Perturbation for ODE | PDF unavailable |

28 | Lecture 28: 2D Boundary Values Problems | PDF unavailable |

29 | Lecture 29: PETSc and MPI basics | PDF unavailable |

30 | Lecture 30: PETSc - Creating Vectors and Matrices | PDF unavailable |

31 | Lecture 31: KSP object and solving a system | PDF unavailable |

32 | Lecture 32: Poisson equation in PETSc | PDF unavailable |

33 | Lecture 33: Nonlinear Solver of PETSc | PDF unavailable |

34 | Lecture 34: Nonlinear solver with Jacobian in PETSc | Download Verified |

35 | Lecture 35: Reaction-diffusion system in PETSc | Download Verified |

36 | Lecture 36: Time stepping in PETSc | Download Verified |

37 | Lecture 37: Heat transport using PETSc | PDF unavailable |

38 | Lecture 38: Solving nonlinear PDE on a periodic domain yielding different patterns | PDF unavailable |

39 | Lecture 39: Audio analysis - Determine motor RPM | Download Verified |

40 | Lecture 40: Spectrogram and Doppler shift | Download Verified |

41 | Lecture 41: Image processing - Preliminaries | Download Verified |

42 | Lecture 42: Balloon problem and viscous fingers | Download Verified |

43 | Lecture 43: Analyzing data files and 2D interpolation | Download Verified |

Sl.No | Language | Book link |
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1 | English | Not Available |

2 | Bengali | Not Available |

3 | Gujarati | Not Available |

4 | Hindi | Not Available |

5 | Kannada | Not Available |

6 | Malayalam | Not Available |

7 | Marathi | Not Available |

8 | Tamil | Not Available |

9 | Telugu | Not Available |