UGC

विश्‍वविद्यालय अनुदान आयोग
University Grants Commission

Course Introductory Video1
Introduction of Week 11
WK1-Ch1-M1-1-Basic Ideas1
WK1-Ch1-M1-2-Basic Ideas1
WK1- Ch1-M1-Self Assessment1
End of Week 11
Introduction of Week 21
WK2-Ch1-M2-Simultaneous Differential Equations of First-Order and First Degree1
WK2-Ch1-M2-Self Assessment1
WK2-Ch1-M3-Pfaffian Differential Equations1
WK2-Ch1-M3-Self Assessment1
WK2-Ch2-M1-First-Order Partial Differential Equations1
WK2-Ch2-M1-Self Assessment1
WK2-Ch2-M2-Quasi-Linear Equations of First Order1
WK2-Ch2-M2-Self Assessment1
End of Week 21
Introduction of Week 31
WK3-Ch2-M3-Nonlinear First Order Partial Differential Equations1
WK3-Ch2-M3-Self Assessment1
WK3-Ch2-M4-Charpit's and Jacobi's Methods of Solving First Order Partial Differential Equations1
WK3-Ch2-M4-Self Assessment1
WK3-Ch2-M5-Solutions Satisfying Given Conditions1
WK3-Ch2-M5-Self Assessment1
End of Week 31
Introduction of Week 41
WK4-Ch3-M1-Origin of Second Order Equations1
WK4-Ch3-M1-Self Assessment1
WK4-Ch3-M2-Linear Partial Differential Equations with Constant Coefficients1
WK4-Ch3-M2-Self Assessment1
WK4-Ch3-M3-Second Order Partial Differential Equations with Variable Coefficients1
WK4-Ch3-M3-Self Assessment1
End of Week 41
Introduction of Week 51
WK5-Ch4-M1-Laplace and Poisson Equations1
WK5-Ch4-M1-Self Assessment1
WK5-Ch4-M2-Solution of Two-dimensional Laplaceâ€™s Equation by Separation of Variables Method1
WK5- Ch4-M2-Self Assessment1
WK5-Ch4-M3-Solution of Three-Dimensional Laplaceâ€™s Equation by Separation of Variables Method1
WK5- Ch4-M3-Self Assessment1
End of Week 51
Introduction of Week 61
WK6-Ch5-M1-Parabolic Differential Equation -Occurrence, Boundary Conditions and Maximum-Minimum Principle1
WK6- Ch5-M1-Self Assessment1
WK6-Ch5-M2-One-Dimensional Parabolic Equation1
WK6- Ch5-M2-Self Assessment1
WK6-Ch5-M3-Solution of Two-Dimensional Heat Conduction Equation by Separation of Variables Method1
WK6- Ch5-M3-Self Assessment1
WK6-Ch5-M4-Solution of Three-Dimensional Heat Conduction Equation by Separation of Variables Method1
WK6- Ch5-M4-Self Assessment1
End of Week 61
Introduction of Week 71
WK7-Ch6-M1-Occurrence of Hyperbolic Differential Equations1
WK7- Ch6-M1-Self Assessment1
WK7-Ch6-M2-One-Dimensional Wave Equation1
WK7- Ch6-M2-Self Assessment1
WK7-Ch6-M3-Two-Dimensional Wave Equation1
WK7- Ch6-M3-Self Assessment1
WK7-Ch6-M4-Three-Dimensional Wave Equation1
WK7- Ch6-M4-Self Assessment1
End of Week 71
Introduction of Week 81
End of Week 81
Introduction of Week 91
WK9-Ch7-M1-Integral Transform and Their Inverse Formulae1
WK9-Ch7-M2-Application of Laplace Transform to Partial Differential Equations1
WK9-Ch7-M2-Self Assessment1
WK9-Ch7-M3-Application of Fourier Transform to Partial Differential Equations1
WK9-Ch7-M3-Self Assessment1
End of Week 91
Introduction of Week 101
WK10-Ch7-M4-Applications of Hankel and Mellin Transform to Partial Differential Equations1
WK10-Ch7-M4-Self Assessment1
WK10-Ch7-M5-Finite Integral Transforms and Their Applications to Partial Differential Equations1
WK10-Ch7-M5-Self Assessment1
End of Week 101
Introduction of Week 111
WK11-Ch8-M1-Greenâ€™s Function1
W11-Ch8-M2-Solutions of Problems1
W11-Ch8-M2-Self Assessment1
End of Week 111
Introduction of Week 121
WK12-Ch9-M1-Eigenfunction Method of Solving Partial Differential Equations1
End of Week 121
Introduction of Week 131
WK13-Ch10-M1-Nonlinear One-dimensional Wave Equation1
WK13-Ch10-M1-Self Assessment1
WK13-Ch10-M2-Dispersion and Dissipation1
WK13-Ch10-M2-Self Assessment1
WK13-Ch10-M3-The Korteweg -de Vries Equation and Solutions1
WK13-Ch10-M3-Self Assessment1
End of Week 131
Introductiomn of Week 141
WK14-Ch10-M4-Burgersâ€™ Equation1
WK14-Ch10-M4-Self Assessment1
WK14-Ch10-M5-Schrodinger Equation and Solitary Waves1
WK14-Ch10-M5-Self Assessment1
End of Week 141
Introduction of Week 151
End of Week 151

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Course Introductory Video
Introduction of Week 1
WK1-Ch1-M1-1-Basic Ideas
WK1-Ch1-M1-2-Basic Ideas
WK1- Ch1-M1-Self Assessment
End of Week 1
Introduction of Week 2
WK2-Ch1-M2-Simultaneous Differential Equations of First-Order and First Degree
WK2-Ch1-M2-Self Assessment
WK2-Ch1-M3-Pfaffian Differential Equations
WK2-Ch1-M3-Self Assessment
WK2-Ch2-M1-First-Order Partial Differential Equations
WK2-Ch2-M1-Self Assessment
WK2-Ch2-M2-Quasi-Linear Equations of First Order
WK2-Ch2-M2-Self Assessment
End of Week 2
Introduction of Week 3
WK3-Ch2-M3-Nonlinear First Order Partial Differential Equations
WK3-Ch2-M3-Self Assessment
WK3-Ch2-M4-Charpit's and Jacobi's Methods of Solving First Order Partial Differential Equations
WK3-Ch2-M4-Self Assessment
WK3-Ch2-M5-Solutions Satisfying Given Conditions
WK3-Ch2-M5-Self Assessment
End of Week 3
Introduction of Week 4
WK4-Ch3-M1-Origin of Second Order Equations
WK4-Ch3-M1-Self Assessment
WK4-Ch3-M2-Linear Partial Differential Equations with Constant Coefficients
WK4-Ch3-M2-Self Assessment
WK4-Ch3-M3-Second Order Partial Differential Equations with Variable Coefficients
WK4-Ch3-M3-Self Assessment
End of Week 4
Introduction of Week 5
WK5-Ch4-M1-Laplace and Poisson Equations
WK5-Ch4-M1-Self Assessment
WK5-Ch4-M2-Solution of Two-dimensional Laplaceâ€™s Equation by Separation of Variables Method
WK5- Ch4-M2-Self Assessment
WK5-Ch4-M3-Solution of Three-Dimensional Laplaceâ€™s Equation by Separation of Variables Method
WK5- Ch4-M3-Self Assessment
End of Week 5
Introduction of Week 6
WK6-Ch5-M1-Parabolic Differential Equation -Occurrence, Boundary Conditions and Maximum-Minimum Principle
WK6- Ch5-M1-Self Assessment
WK6-Ch5-M2-One-Dimensional Parabolic Equation
WK6- Ch5-M2-Self Assessment
WK6-Ch5-M3-Solution of Two-Dimensional Heat Conduction Equation by Separation of Variables Method
WK6- Ch5-M3-Self Assessment
WK6-Ch5-M4-Solution of Three-Dimensional Heat Conduction Equation by Separation of Variables Method
WK6- Ch5-M4-Self Assessment
End of Week 6
Introduction of Week 7
WK7-Ch6-M1-Occurrence of Hyperbolic Differential Equations
WK7- Ch6-M1-Self Assessment
WK7-Ch6-M2-One-Dimensional Wave Equation
WK7- Ch6-M2-Self Assessment
WK7-Ch6-M3-Two-Dimensional Wave Equation
WK7- Ch6-M3-Self Assessment
WK7-Ch6-M4-Three-Dimensional Wave Equation
WK7- Ch6-M4-Self Assessment
End of Week 7
Introduction of Week 8
End of Week 8
Introduction of Week 9
WK9-Ch7-M1-Integral Transform and Their Inverse Formulae
WK9-Ch7-M2-Application of Laplace Transform to Partial Differential Equations
WK9-Ch7-M2-Self Assessment
WK9-Ch7-M3-Application of Fourier Transform to Partial Differential Equations
WK9-Ch7-M3-Self Assessment
End of Week 9
Introduction of Week 10
WK10-Ch7-M4-Applications of Hankel and Mellin Transform to Partial Differential Equations
WK10-Ch7-M4-Self Assessment
WK10-Ch7-M5-Finite Integral Transforms and Their Applications to Partial Differential Equations
WK10-Ch7-M5-Self Assessment
End of Week 10
Introduction of Week 11
WK11-Ch8-M1-Greenâ€™s Function
W11-Ch8-M2-Solutions of Problems
W11-Ch8-M2-Self Assessment
End of Week 11
Introduction of Week 12
WK12-Ch9-M1-Eigenfunction Method of Solving Partial Differential Equations
End of Week 12
Introduction of Week 13
WK13-Ch10-M1-Nonlinear One-dimensional Wave Equation
WK13-Ch10-M1-Self Assessment
WK13-Ch10-M2-Dispersion and Dissipation
WK13-Ch10-M2-Self Assessment
WK13-Ch10-M3-The Korteweg -de Vries Equation and Solutions
WK13-Ch10-M3-Self Assessment
End of Week 13
Introductiomn of Week 14
WK14-Ch10-M4-Burgersâ€™ Equation
WK14-Ch10-M4-Self Assessment
WK14-Ch10-M5-Schrodinger Equation and Solitary Waves
WK14-Ch10-M5-Self Assessment
End of Week 14
Introduction of Week 15
End of Week 15

PG Courses - Partial Differential Equations

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