Weeks Weekly Lecture Topics (Module Titles)
1 Day 1 Module 1 : Introductions To Partial Differential Equations And Mathematical Problems
Day 2 Module 2 : First Order PDE: Classification And Constructions – Part 1
Day 3 Module 3 : First Order PDE: Classification And Constructions – Part 2
Day 4 Interactions based on the three modules covered
Day 5 Deadline for submitting Assignments
2 Day 1 Module 4 : Integral Surface of PDE – Problems
Day 2 Module 5 : First Order PDE : Geometrical Interpretation
Day 3 Module 6 : General Solutions And Method Of Characteristics – Part 1
Day 4 Interactions based on the three modules covered
Day 5 Deadline for submitting Assignments
3 Day 1 Module 7 : General Solutions And Method Of Characteristics – Part 2 (Cauchy Problem For First Order PDE and Method of Characteristics )
Day 2 Module 8 : General Solutions And Method Of Characteristics – Part 3
Day 3 Module 9 : Canonical Forms And First Order PDE
Day 4 Interactions based on the three modules covered
Day 5 Deadline for submitting Assignments
4 Day 1 Module 10 : Separation Of Variables
Day 2 Module 11 : The Vibrating String
Day 3 Module 12 : Conduction Of Heat In Solids / Derivation of Heat Equation and Laplace Equation
Day 4 Interactions based on the three modules covered
Day 5 Deadline for submitting Assignments
5 Day 1 Module 13 : Second Order Equations In Two Independent Variables & Canonical Forms Part 1
Day 2 Module 14 : Canonical Forms Part 2
Day 3 Module 15 : Canonical Forms Part 3
Day 4 Interactions based on the three modules covered
Day 5 Deadline for submitting Assignments
6 Day 1 Module 16 : Problems Related to Canonical Forms
Day 2 Module 17 : General Solutions
Day 3 Module 18 : Cauchy Problem And Cauchy-Kowaleewsky Theorem
Day 4 Interactions based on the three modules covered
Day 5 Deadline for submitting Assignments
7 Day 1 Module 19 : Cauchy Problem And Infinite String Part 1
Day 2 Module 20 : Cauchy Problem And Infinite String Part 2
Day 3 Module 21 : Cauchy Problem For An Infinite String-Part 3 and Generalized Solution
Day 4 Interactions based on the three modules covered
Day 5 Deadline for submitting Assignments
8 Day 1 Module 22 : Initial-Value Problems : Semi-Infinite String With A Fixed End
Day 2 Module 23:Initial-Value Problems : Semi-Infinite String With A Free End
Day 3 Module 24 : Equations With Non-Homogeneous Boundary Conditions and NonHomogeneous Wave Equation - Part 1
Day 4 Interactions based on the three modules covered
Day 5 Deadline for submitting Assignments
9 Day 1 Module 25 : Non-Homogeneous Wave Equation - Part 2
Day 2 Module 26 : Method Of Separation Of Variables
Day 3 Module 27: Vibrating String Problem – Part 1
Day 4 Interactions based on the three modules covered
Day 5 Deadline for submitting Assignments
10 Day 1 Module 28 : Vibrating String Problem – Part 2
Day 2 Module 29 : Heat Conduction Problem – Part 1
Day 3 Module 30 : Heat Conduction Problem – Part 2
Day 4 Interactions based on the three modules covered
Day 5 Deadline for submitting Assignments
11 Day 1 Module 31 : Types Of Linear Systems
Day 2 Module 32 : An Operator Method For Linear Systems With Constant Coefficient
Day 3 Module 33: An Alternative Procedure For The Solution System Of ODE With Constant Coefficients (Basic Theory Of Linear Systems In Normal Forms Part 1)
Day 4 Interactions based on the three modules covered
Day 5 Deadline for submitting Assignments
12 Day 1 Module 34 : Basic Theory Of Linear Systems In Normal Forms Part 2
Day 2 Module 35 : Basic Theory Of Linear Systems In Normal Forms Part 3
Day 3 Module 36 : Homogeneous Linear Systems With Constant Coefficients - Part 1
Day 4 Interactions based on the three modules covered
Day 5 Deadline for submitting Assignments
13 Day 1 Module 37 : Homogeneous Linear Systems With Constant Coefficients - Part 2
Day 2 Module 38 : Homogeneous Linear Systems With Constant Coefficients - Part 3
Day 3 Module 39 : The Method Of Successive Approximations
Day 4 Interactions based on the three modules covered
Day 5 Deadline for submitting Assignments
15 Day 1 Module 40 : Euler Method
Day 2 Module 41 : Modified Euler Method
Day 3 Module 42 : Runge - Kutta Method
Day 4 Interactions based on the three modules covered
Day 5 Deadline for submitting Assignments
16 Day 1 Module 43 : Problems on Numerical Method to Solve Ist Order Ordinary Differential Equations
Day 2
Day 3
Day 4
Day 5
DOWNLOAD APP
FOLLOW US