Modules / Lectures

Module Name | Download | Description | Download Size |
---|---|---|---|

Week 1: Vectors, linear independence, vector differentiation and transfomation | Week -1 | Week-1 Lecture Notes | 493 kb |

Week 2: Matrices, Linear Transformations, Special Matrices, Eigenvalues | Week-2 | Week -2 Lecture Notes | 5877 kb |

Week 3: Special Functions | Week -3 | Week -3 Lecture Notes | 761 kb |

Week 4:1st order ODEs | Week-4 | Week-4 Lecture Notes | 1068 kb |

Week 5: 2nd Order ODEs, Power Series Method | Week -5(part 1) | Week-5 Lecture Notes(part 1) | 485 kb |

Week 5: 2nd Order ODEs, Power Series Method | Week -5(part 2) | Week-5 Lecture Notes(part 2) | 415 kb |

Week 5: 2nd Order ODEs, Power Series Method | Week -5(part 3) | Week-5 Lecture Notes(part 3) | 324 kb |

Week 6: Optimization, Constrained Optimization | Week -6 (part 1) | Week-6 Lecture Notes(part 1) | 470 kb |

Week 6: Optimization, Constrained Optimization | Week -6 (part 2) | Week-6 Lecture Notes(part 2) | 421 kb |

Week 7: Nonlinear Differential Equations, Phase Plane, Stability Analysis | Week -7 (part 1) | Week-7 Lecture Notes(part 1) | 468 kb |

Week 7: Nonlinear Differential Equations, Phase Plane, Stability Analysis | Week -7 (part 2) | Week-7 Lecture Notes(part 2) | 464 kb |

Week 8: Fourier Series, Orthogonal Eigenfunctions, Sturm-Liouville Theory | Week -8 (part 1) | Week-8 Lecture Notes(part 1) | 346 kb |

Week 8: Fourier Series, Orthogonal Eigenfunctions, Sturm-Liouville Theory | Week -8 (part 2) | Week-8 Lecture Notes(part 2) | 326 kb |

Week 8: Fourier Series, Orthogonal Eigenfunctions, Sturm-Liouville Theory | Week -8 (part 3) | Week-8 Lecture Notes(part 3) | 365 kb |

Week 9: Integral Transforms | Week -9 (part 1) | Week 9: Lecture Notes (part 1) | 432 kb |

Week 9: Integral Transforms | Week - 9 (part 2) | Week 9: Lecture Notes (part 2) | 482 kb |

Week 10:Partial Differential Equations | Week -10 (part 1) | Week 10: Lecture Notes (part 1) | 452 kb |

Week 10:Partial Differential Equations | Week -10 (part2) | Week 10: Lecture Notes (part 2) | 443 kb |

Week 11: Probability, Probability Distributions and Error Analysis | Week -11 (part 1) | Week 11: Lecture Notes (part 1) | 402 kb |

Week 11: Probability, Probability Distributions and Error Analysis | Week -11 (part 2) | Week 11: Lecture Notes (part 2) | 474 kb |

Module Name | Download |
---|---|

Week1-Assignment | Week1-Assignment |

Week1-solution | Week1-solution |

Week10-Assignment | Week10-Assignment |

Week10-solution | Week10-solution |

Week11-Assignment | Week11-Assignment |

Week11-solution | Week11-solution |

Week12-Assignment | Week12-Assignment |

Week12-solution | Week12-solution |

Week2-Assignment | Week2-Assignment |

Week2-solution | Week2-solution |

Week3-Assignment | Week3-Assignment |

Week3-solution | Week3-solution |

Week4-Assignment | Week4-Assignment |

Week4-solution | Week4-solution |

Week5-Assignment | Week5-Assignment |

Week5-solution | Week5-solution |

Week6-Assignment | Week6-Assignment |

Week6-solution | Week6-solution |

Week7-Assignment | Week7-Assignment |

Week7-solution | Week7-solution |

Week8-Assignment | Week8-Assignment |

Week8-solution | Week8-solution |

Week9-Assignment | Week9-Assignment |

Week9-solution | Week9-solution |

Sl.No | Chapter Name | English |
---|---|---|

1 | Lecture 1: Vectors, Vector Operations and Linear Independence | Download To be verified |

2 | Lecture 2: Vector Operations, Generalization of Vectors | Download To be verified |

3 | Lecture 3: Vector Differentiation, Vector Transformations | Download To be verified |

4 | Lecture 4: Vector Integration, Line, Surface and Volume Integrals | Download To be verified |

5 | Lecture 5: Practice Problems | Download To be verified |

6 | Lecture 6: Matrix as a vector transformation, linear system | Download To be verified |

7 | Lecture 7: Special Matrices: Symmetric, Orthogonal, Complex | Download To be verified |

8 | Lecture 8: Rotational Matrices, Eigenvalues and Eigenvectors | Download To be verified |

9 | Lecture 9: Determinants, Matrix Inverse | Download To be verified |

10 | Lecture 10: Practice Problems | Download To be verified |

11 | Lecture 11: Step Function, Delta Function | Download To be verified |

12 | Lecture 12 : Gamma Function, Error Function | Download To be verified |

13 | Lecture 13: Spherical Polar Coordinates | Download To be verified |

14 | Lecture 14: Cylindrical Polar Coordinates, Integrals | Download To be verified |

15 | Lecture 15: Recap of Module 3, Practice Problems | Download To be verified |

16 | Lecture 16: ODEs and PDEs, First order ODEs, system of 1st order ODEs | Download To be verified |

17 | Lecture 17: First order ODEs, exact integrals, integrating factors | Download To be verified |

18 | Lecture 18: System of first order ODEs, Linear first order ODEs | Download To be verified |

19 | Lecture 19: General solution of a system of linear first order ODEs with constant coefficients | Download To be verified |

20 | Lecture 20: Recap of Module 4, Practice problems | Download To be verified |

21 | Lecture 21: Homogeneous 2nd Order ODE, Basis Functions | Download To be verified |

22 | Lecture 22: Nonhomogeneous 2nd Order ODE | Download To be verified |

23 | Lecture 23: Power Series Method of Solving ODEs | Download To be verified |

24 | Lecture 24: Frobenius Method / Power Series Method | Download To be verified |

25 | Lecture 25: Time-independent Schrodinger Equation for H-atom | Download To be verified |

26 | Lecture 26: Maxima and Minima, Taylor Series | Download To be verified |

27 | Lecture 27: Taylor Series for functions of several variables | Download To be verified |

28 | Lecture 28: Critical Points of Functions | Download To be verified |

29 | Lecture 29: Lagranges Method of Undetermined Multipliers | Download To be verified |

30 | Lecture 30: Recap of Module 6, Practice Problems | Download To be verified |

31 | Lecture 31: Nonlinear Differential Equations | Download To be verified |

32 | Lecture 32: Phase Plane of A Pendulum | Download To be verified |

33 | Lecture 33: Stability of Critical Points | Download To be verified |

34 | Lecture 34: Population Dynamics Models | Download To be verified |

35 | Lecture 35: Recap of Module 7, Practice Problems | Download To be verified |

36 | Lecture 36: Fourier Series, Fourier Expansion of Periodic Functions | Download To be verified |

37 | Lecture 37 (Part A): Fourier Expansions and Differential Equations | Download To be verified |

38 | Lecture 37 (Part B): Fourier Expansions and Differential Equations | Download To be verified |

39 | Lecture 38: Orthogonal Eigenfunctions, Sturm-Liouville Theory | Download To be verified |

40 | Lecture 39: Recap of Module 8, Practice Problems | Download To be verified |

41 | Lecture 40: Fourier Transforms | Download To be verified |

42 | Lecture 41: Properties of Fourier Transforms | Download To be verified |

43 | Lecture 42: Fourier Transforms and Partial Differential Equations | Download To be verified |

44 | Lecture 43: Laplace Transforms | Download To be verified |

45 | Lecture 44: Recap of Module 9, Practice Problems | Download To be verified |

46 | Lecture 45: Partial Differential Equations, Boundary Conditions | Download To be verified |

47 | Lecture 46: Separation of Variables | Download To be verified |

48 | Lecture 47 (Part A): Two-dimensional Wave Equation, Bessel Functions | Download To be verified |

49 | Lecture 47 (Part B): Two-dimensional Wave Equation, Bessel Functions | Download To be verified |

50 | Lecture 48: Recap of Module 10, Practice Problems | Download To be verified |

51 | Lecture 49: Discrete and Continuous Random Variables | Download To be verified |

52 | Lecture 50: Probability Distribution Functions | Download To be verified |

53 | Lecture 51: Poisson Distribution, Gaussain Distribution | Download To be verified |

54 | Lecture 52: Error Estimates, Least Square Fit, Correlation Functions | Download To be verified |

55 | Lecture 53: Recap of Module 11, Practice Problems | Download To be verified |

Sl.No | Language | Book link |
---|---|---|

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 |