| 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 |