| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | Introduction to complex numbers | Download |
| 2 | mod01lec02 - The triangle inequality | Download |
| 3 | mod01lec03 - The de Moivre formula | Download |
| 4 | mod01lec04 - Roots of unity | Download |
| 5 | mod01lec05 - Functions of a complex variable and the notion of continuity | Download |
| 6 | mod01lec06 - Derivative of a complex function | Download |
| 7 | mod01lec07 - Differentiation rules for a complex function | Download |
| 8 | mod01lec08 - Cauchy-Riemann Equations | Download |
| 9 | mod01lec09 - Sufficient conditions for differentiability | Download |
| 10 | mod01lec10 - Cauchy-Riemann conditions in polar coordinates | Download |
| 11 | mod01lec11 - More persepective on differentiability | Download |
| 12 | mod01lec12 - The value of the derivative | Download |
| 13 | mod02lec13 - Analytic functions | Download |
| 14 | mod02lec14 - Harmonic functions | Download |
| 15 | mod02lec15 - The exponential function | Download |
| 16 | mod02lec16 - Complex logarithm | Download |
| 17 | mod02lec17 - Complex exponents | Download |
| 18 | mod02lec18 - Trigonometric functions of complex variables | Download |
| 19 | mod02lec19 - Hyperbolic functions of complex variables | Download |
| 20 | mod02lec20 - Inverse Trigonometric and Hyperbolic functions | Download |
| 21 | mod02lec21 - Branch of a multivalued function | Download |
| 22 | mod03lec22 - Contour Integrals | Download |
| 23 | mod03lec23 - Green's Theorem | Download |
| 24 | mod03lec24 - Path dependence of the contour intergal | Download |
| 25 | mod03lec25 - Antiderivatives | Download |
| 26 | mod03lec26 - The Cauchy theorem | Download |
| 27 | mod03lec27 - Crossing contours and multiply connected domains | Download |
| 28 | mod03lec28 - Cauchy Integral formula | Download |
| 29 | mod03lec29 - Derivatives of an analytic function | Download |
| 30 | mod03lec30 - Liouville's theorem and the Fundamental theorem of algebra | Download |
| 31 | mod04lec31 - Taylor Series | Download |
| 32 | mod04lec32 - Laurent Series | Download |
| 33 | mod04lec33 - Convergence | Download |
| 34 | mod04lec34 - Differentiation and integration of power series | Download |
| 35 | mod04lec35 - Isolated Singularities | Download |
| 36 | mod04lec36 - Residues | Download |
| 37 | mod04lec37 - Residue Theorem | Download |
| 38 | mod04lec38 - Evaluation of integrals-I | Download |
| 39 | mod04lec39 - Evaluation of integrals-II | Download |
| 40 | mod04lec40 - Analytic Continuation | Download |
| 41 | mod05lec41 - Introduction of orthogonal polynomials | Download |
| 42 | mod05lec42 - How to construct orthogonal polynomials | Download |
| 43 | mod05lec43 - The weight function | Download |
| 44 | mod05lec44 - Recursion relations | Download |
| 45 | mod05lec45 - Differential equation satisfied by the orthogonal polynomials | Download |
| 46 | mod05lec46 - Hermite polynomials | Download |
| 47 | mod05lec47 - Properties of Hemite polynomials | Download |
| 48 | mod05lec48 - Legendre polynomials | Download |
| 49 | mod05lec49 - Legendre polynomials: recurrence relation | Download |
| 50 | mod06lec50 - Differential equation corresponding to Legendre polynomials | Download |
| 51 | mod06lec51 - The generating function corresponding to Legendre polynomials | Download |
| 52 | mod06lec52 - Laguerre Polynomials | Download |
| 53 | mod06lec53 - Laguerre Polynomials: recurrence relation | Download |
| 54 | mod06lec54 - Laguerre polynomials: differential equation | Download |
| 55 | mod06lec55 - Laguerre polynomials: generating function | Download |
| 56 | mod06lec56 - Bessel functions: series defination | Download |
| 57 | mod06lec57 - Bessel functions: recurrence relations | Download |
| 58 | mod06lec58 - Bessel functions: differential equation | Download |
| 59 | mod06lec59 - Bessel functions of integral order: generating function | Download |
| 60 | mod06lec60 - Bessel function: orthogonality | Download |
| 61 | mod07lec61 - Classification of Second Order PDEs | Download |
| 62 | mod07lec62 - Canonical Forms for Hyperbolic PDEs | Download |
| 63 | mod07lec63 - Canonical Forms for Parabolic PDEs | Download |
| 64 | mod07lec64 - Canonical Forms for Elliptic PDEs | Download |
| 65 | mod07lec65 - Tha Laplace Equation | Download |
| 66 | mod07lec66 - The Laplace Equation: Separation of Variables | Download |
| 67 | mod07lec67 - The Laplace Equation: Dirichlet and Neumann boundary conditions | Download |
| 68 | mod07lec68 - The Laplace Equation in Cartesian coordinates | Download |
| 69 | mod07lec69 - The Laplace Equation for a 3-D rectangular box | Download |
| 70 | mod08lec70 - The Laplace Equation in spherical coordinates | Download |
| 71 | mod08lec71 - The Laplace Equation in Spherical Coordinates: Solution | Download |
| 72 | mod08lec72 - The Laplace Equation in Spherical Coordinates: illustrative examples | Download |
| 73 | mod08lec73 - The Poisson's Equation: Green's function solution | Download |
| 74 | mod08lec74 - The heat equation: a heuristic discussion | Download |
| 75 | mod08lec75 - From the random walk to the diffusion equation | Download |
| 76 | mod08lec76 - Solution of the Diffusion equation | Download |
| 77 | mod08lec77 - The Diffusion equation with Dirichlet and Neumann boundary conditions | Download |
| 78 | mod08lec78 - The Heat equation: illustrative examples | Download |
| 79 | mod08lec79 - The Wave equation: Method of characteristics | Download |
| 80 | mod08lec80 - The Wave equation: Separation of variables | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Introduction to complex numbers | Download Verified |
| 2 | mod01lec02 - The triangle inequality | Download Verified |
| 3 | mod01lec03 - The de Moivre formula | Download Verified |
| 4 | mod01lec04 - Roots of unity | Download Verified |
| 5 | mod01lec05 - Functions of a complex variable and the notion of continuity | Download Verified |
| 6 | mod01lec06 - Derivative of a complex function | Download Verified |
| 7 | mod01lec07 - Differentiation rules for a complex function | Download Verified |
| 8 | mod01lec08 - Cauchy-Riemann Equations | Download Verified |
| 9 | mod01lec09 - Sufficient conditions for differentiability | Download Verified |
| 10 | mod01lec10 - Cauchy-Riemann conditions in polar coordinates | Download Verified |
| 11 | mod01lec11 - More persepective on differentiability | Download Verified |
| 12 | mod01lec12 - The value of the derivative | Download Verified |
| 13 | mod02lec13 - Analytic functions | Download Verified |
| 14 | mod02lec14 - Harmonic functions | Download Verified |
| 15 | mod02lec15 - The exponential function | Download Verified |
| 16 | mod02lec16 - Complex logarithm | Download Verified |
| 17 | mod02lec17 - Complex exponents | Download Verified |
| 18 | mod02lec18 - Trigonometric functions of complex variables | Download Verified |
| 19 | mod02lec19 - Hyperbolic functions of complex variables | Download Verified |
| 20 | mod02lec20 - Inverse Trigonometric and Hyperbolic functions | Download Verified |
| 21 | mod02lec21 - Branch of a multivalued function | Download Verified |
| 22 | mod03lec22 - Contour Integrals | Download Verified |
| 23 | mod03lec23 - Green's Theorem | Download Verified |
| 24 | mod03lec24 - Path dependence of the contour intergal | Download Verified |
| 25 | mod03lec25 - Antiderivatives | Download Verified |
| 26 | mod03lec26 - The Cauchy theorem | Download Verified |
| 27 | mod03lec27 - Crossing contours and multiply connected domains | Download Verified |
| 28 | mod03lec28 - Cauchy Integral formula | Download Verified |
| 29 | mod03lec29 - Derivatives of an analytic function | Download Verified |
| 30 | mod03lec30 - Liouville's theorem and the Fundamental theorem of algebra | Download Verified |
| 31 | mod04lec31 - Taylor Series | Download Verified |
| 32 | mod04lec32 - Laurent Series | Download Verified |
| 33 | mod04lec33 - Convergence | Download Verified |
| 34 | mod04lec34 - Differentiation and integration of power series | Download Verified |
| 35 | mod04lec35 - Isolated Singularities | Download Verified |
| 36 | mod04lec36 - Residues | Download Verified |
| 37 | mod04lec37 - Residue Theorem | Download Verified |
| 38 | mod04lec38 - Evaluation of integrals-I | Download Verified |
| 39 | mod04lec39 - Evaluation of integrals-II | Download Verified |
| 40 | mod04lec40 - Analytic Continuation | Download Verified |
| 41 | mod05lec41 - Introduction of orthogonal polynomials | Download Verified |
| 42 | mod05lec42 - How to construct orthogonal polynomials | Download Verified |
| 43 | mod05lec43 - The weight function | Download Verified |
| 44 | mod05lec44 - Recursion relations | Download Verified |
| 45 | mod05lec45 - Differential equation satisfied by the orthogonal polynomials | Download Verified |
| 46 | mod05lec46 - Hermite polynomials | Download Verified |
| 47 | mod05lec47 - Properties of Hemite polynomials | Download Verified |
| 48 | mod05lec48 - Legendre polynomials | Download Verified |
| 49 | mod05lec49 - Legendre polynomials: recurrence relation | Download Verified |
| 50 | mod06lec50 - Differential equation corresponding to Legendre polynomials | Download Verified |
| 51 | mod06lec51 - The generating function corresponding to Legendre polynomials | Download Verified |
| 52 | mod06lec52 - Laguerre Polynomials | Download Verified |
| 53 | mod06lec53 - Laguerre Polynomials: recurrence relation | Download Verified |
| 54 | mod06lec54 - Laguerre polynomials: differential equation | Download Verified |
| 55 | mod06lec55 - Laguerre polynomials: generating function | Download Verified |
| 56 | mod06lec56 - Bessel functions: series defination | Download Verified |
| 57 | mod06lec57 - Bessel functions: recurrence relations | Download Verified |
| 58 | mod06lec58 - Bessel functions: differential equation | Download Verified |
| 59 | mod06lec59 - Bessel functions of integral order: generating function | Download Verified |
| 60 | mod06lec60 - Bessel function: orthogonality | Download Verified |
| 61 | mod07lec61 - Classification of Second Order PDEs | Download Verified |
| 62 | mod07lec62 - Canonical Forms for Hyperbolic PDEs | Download Verified |
| 63 | mod07lec63 - Canonical Forms for Parabolic PDEs | Download Verified |
| 64 | mod07lec64 - Canonical Forms for Elliptic PDEs | Download Verified |
| 65 | mod07lec65 - Tha Laplace Equation | Download Verified |
| 66 | mod07lec66 - The Laplace Equation: Separation of Variables | Download Verified |
| 67 | mod07lec67 - The Laplace Equation: Dirichlet and Neumann boundary conditions | Download Verified |
| 68 | mod07lec68 - The Laplace Equation in Cartesian coordinates | Download Verified |
| 69 | mod07lec69 - The Laplace Equation for a 3-D rectangular box | Download Verified |
| 70 | mod08lec70 - The Laplace Equation in spherical coordinates | Download Verified |
| 71 | mod08lec71 - The Laplace Equation in Spherical Coordinates: Solution | Download Verified |
| 72 | mod08lec72 - The Laplace Equation in Spherical Coordinates: illustrative examples | Download Verified |
| 73 | mod08lec73 - The Poisson's Equation: Green's function solution | Download Verified |
| 74 | mod08lec74 - The heat equation: a heuristic discussion | Download Verified |
| 75 | mod08lec75 - From the random walk to the diffusion equation | Download Verified |
| 76 | mod08lec76 - Solution of the Diffusion equation | Download Verified |
| 77 | mod08lec77 - The Diffusion equation with Dirichlet and Neumann boundary conditions | Download Verified |
| 78 | mod08lec78 - The Heat equation: illustrative examples | Download Verified |
| 79 | mod08lec79 - The Wave equation: Method of characteristics | Download Verified |
| 80 | mod08lec80 - The Wave equation: Separation of variables | Download 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 |