| A8002 - ORDINARY DIFFERENTIAL EQUATIONS AND VECTOR CALCULUS |
|---|
| MODULE - I |
|---|
| Lecture No | Name of the Topic | Lecture By | Video Links |
|---|---|---|---|
1 |
Exact Differential Equations |
Dr.D Srinivas Reddy |
Click for Video |
2 |
Equations Reducible to Exact Form: Type - I, Type – II |
Dr.D Srinivas Reddy |
Click for Video |
3 |
Equations Reducible to Exact Form: Type - III, Type - IV |
Dr.D Srinivas Reddy |
Click for Video |
4 |
Linear Differential Equations of First Order |
Dr.D Srinivas Reddy |
Click for Video |
5 |
Equations Reducible to Linear Form |
Dr.D Srinivas Reddy |
Click for Video |
6 |
Orthogonal Trajectories |
Dr.D Srinivas Reddy |
Click for Video |
7 |
Newton’s Law of Cooling |
Dr.D Srinivas Reddy |
Click for Video |
8 |
Law of Natural Growth or Decay |
Dr.D Srinivas Reddy |
Click for Video |
| Click to Download Module-I Lecture Notes |
|---|
| MODULE - II |
|---|
| Lecture No | Name of the Topic | Lecture By | Video Links |
|---|---|---|---|
9 |
Solution of Homogeneous Linear Differential Equations with Constant Coefficients |
Dr.D Srinivas Reddy |
Click for Video |
10 |
Solution of Non-Homogeneous Linear Differential Equations with Constant Coefficients of the Form f(D)y=Q(x) when Q(x)=e^ax,Sinax or Cosax |
Dr.D Srinivas Reddy |
Click for Video |
11 |
Solution of Non-homogeneous Linear Differential Equations with Constant Coefficients of the Form f(D)y=Q(x) when Q(x)=x^m |
Dr.D Srinivas Reddy |
Click for Video |
12 |
Solution of Non-homogeneous Linear Differential Equations with Constant Coefficients of the Form f(D)y=Q(x) by Method of Variation of Parameters |
Dr.D Srinivas Reddy |
Click for Video |
13 |
Solution of Non-homogeneous Linear Differential Equations with Constant Coefficients of the Form f(D)y=Q(x) when Q(x)=e^ax.V(x) |
Dr.D Srinivas Reddy |
Click for Video |
14 |
Solution of Cauchy Homogeneous Linear Differential equations |
Dr.D Srinivas Reddy |
Click for Video |
15 |
Solution of Cauchy Homogeneous Linear Differential equations |
Dr.D Srinivas Reddy |
Click for Video |
16 |
Applications of Second order Linear Differential Equations |
Dr.D Srinivas Reddy |
Click for Video |
| Click to Download Module-II Lecture Notes |
|---|
| MODULE - III |
|---|
| Lecture No | Name of the Topic | Lecture By | Video Links |
|---|---|---|---|
17 |
Introduction to Laplace Transform |
Dr.K Mamatha |
Click for Video |
18 |
First Shifting Theorem, Second Shifting Theorem |
Dr.K Mamatha |
Click for Video |
19 |
Laplace Transforms of Functions when they are Multiplied by t power n |
Dr.K Mamatha |
Click for Video |
20 |
Laplace Transforms of Functions when they are Divided by ‘t’, |
Dr.K Mamatha |
Click for Video |
21 |
Inverse Laplace Transform, Convolution Theorem (without proof) |
Dr.K Mamatha |
Click for Video |
22 |
Change of Scale Property |
Dr.K Mamatha |
Click for Video |
| Click to Download Module-III Lecture Notes |
|---|
| MODULE - IV |
|---|
| Lecture No | Name of the Topic | Lecture By | Video Links |
|---|---|---|---|
23 |
Scalar, Vector Point Functions, Gradient and Properties |
Dr.K Santosh Reddy |
Click for Video |
24 |
Gradient and Properties & Directional Derivative |
Dr.K Santosh Reddy |
Click for Video |
25 |
Divergence and their Related Properties |
Dr.K Santosh Reddy |
Click for Video |
26 |
Curl and their Related Properties |
Dr.K Santosh Reddy |
Click for Video |
27 |
Scalar Potential Function |
Dr.K Santosh Reddy |
Click for Video |
28 |
Laplacian Operator and Related Examples |
Dr.K Santosh Reddy |
Click for Video |
| Click to Download Module-IV Lecture Notes |
|---|
| MODULE - V |
|---|
| Lecture No | Name of the Topic | Lecture By | Video Links |
|---|---|---|---|
29 |
Line Integrals |
Dr.G Padma |
Click for Video |
30 |
Work Done by Force |
Dr.G Padma |
Click for Video |
31 |
Surface Integrals & Volume Integrals |
Dr.G Padma |
Click for Video |
32 |
Green’s Theorem in a Plane |
Dr.G Padma |
Click for Video |
33 |
Stoke’s Theorem |
Dr.G Padma |
Click for Video |
34 |
Gauss Divergence Theorem |
Dr.G Padma |
Click for Video |
35 |
Non Exact differential equation 3 |
Dr.D Srinivas Reddy |
Click for Video |
36 |
Exact differential equation |
Dr.D Srinivas Reddy |
Click for Video |
37 |
Non-Exact differential equation reducible to exact form 2 |
Dr.D Srinivas Reddy |
Click for Video |
38 |
Linear Differential equation of first order |
Dr.D Srinivas Reddy |
Click for Video |
39 |
Non-Exact Differential Equation reducible to exact form |
Dr.D Srinivas Reddy |
Click for Video |
40 |
Newton's Law of cooling |
Dr.D Srinivas Reddy |
Click for Video |
41 |
Non Linear Differential equation of First Order Bernoulli's Equation |
Dr.D Srinivas Reddy |
Click for Video |
| Click to Download Module - V Lecture Notes |
|---|
EXAM MODEL PAPERS |
|---|