0. Course Introduction & Mark Distribution
1 Lessons
5m
1.Engine.math -IV, marking scheme
5 Minutes
Free
Chapter-1 Complex Analysis
79 Lessons
23h 2m
1. Complex analysis-Introduction of Complex number_1
36 Minutes
Free
2. Complex number -Exercise-1 Q.N.1_1
25 Minutes
Free
3. Complex number-exercise-1 Q.N.2
12 Minutes
4. Complex number -Exercise-1 Q.N.3
28 Minutes
5. Complex number-exercise-1,Q.N.4-6
27 Minutes
6. Complex analysis- analytic functions, defintion &theorem
24 Minutes
7. Complex analytic functions- Basic terms & definitions;Limit Continuity.Derivative
52 Minutes
8. Complex Analytic functions-Theorem on derivative
22 Minutes
9. Complex analysis-Laplace equation & theorem on analytic function
26 Minutes
10. Complex analysis-Polar Form of C-R Equations
18 Minutes
11. Complex Analysis-exercise-2 Q.N.1 solved
41 Minutes
12. Exercise-2-Q.N.1-VII solved
4 Minutes
13. Exercise-2-Q.N.1-VIII solved
5 Minutes
14. Exercise-2-Q.N.1.IX solved
6 Minutes
15. Complex analsis-exercise-2,Q.N-2-6
28 Minutes
16. Exercise-2-Q.N.7 only
12 Minutes
17. Complex Analysis-Exercise-2,Q.N.8-10
23 Minutes
18. Oct 19 ko Exercise-2 Complex analysis-Q.N.11 -I & II solved
7 Minutes
19. Exercise-2 Complex analysis- Q.N
12 Minutes
20. Exercise-2 Complex analysis-QN.11-VI &VII solved
9 Minutes
21. Exercise-2-Complex Analysis-Qn-12 Solved
6 Minutes
22. Harmonic Functions-Definitions &Theorem
19 Minutes
23. Harmonic Function-Exercise-3 Q.N.1
35 Minutes
24. Harmonic function-Exercise-3.Q.N.2
12 Minutes
25. Harmonic Function-Exercise-3,Q.N.3 &4 (i) solved
27 Minutes
26. Harmonic Functions-EXercise-3,Q.N.4IV,VII,VIII,solved
39 Minutes
27. Harmonic Function-Exercise-3 Q.N.6&7 solved_1
28 Minutes
28. Conformal Mapping- Defintion &LFT-introduction-definition_1
17 Minutes
29. Conformal Mapping-Exercise-4 Q.N.1 &2 solved
24 Minutes
30. Conformal mapping Exercise-4 Q.N.4,5 &7 solved
23 Minutes
31. Exercise-16 Q.N.3 solved
15 Minutes
32. S-C Transformation
15 Minutes
33. Complex Integration-Definitions
13 Minutes
34. Cauchy Integral Theorem-Statement &Proof
17 Minutes
35. Cauchy Integral Formula -Statement &Proof
22 Minutes
36. Cauchy Inequality & Liouvilles inequality
13 Minutes
37. Exercise-6 (Cauchy Integral Formula),Q.N.1 &2 solved
17 Minutes
38. Exercise-6,Q.N.3i Solved
7 Minutes
39. Cauchy Integral Formula ,Exercise-6 Q.N. 4i,ii,iii,v Solved
30 Minutes
40. Cauchy Integral Formula-Exercise-6 Q.N.5i,iii,v Solved
27 Minutes
41. Cauchy Integral Formula-Exercise-6,Q.N.6i,iii,iv Solved
26 Minutes
42. Cauchy Integral Formula-Exercise-6 Q.N.7&8 Solved
14 Minutes
43. Laurent,taylor Series & Laurent Theorem
16 Minutes
44. Exercise-7 1. Q.N.i &iii Solved
16 Minutes
45. Exercise-7 Q.N.1 iv &v Solved
20 Minutes
46. Exercise-7 Q.N.1, VII &IX, Solved
16 Minutes
47. Exercise-7 Q.N. xii solved
6 Minutes
48. Exercise-7, Q.N.2 I&II Solved
21 Minutes
49. Exercise-7 Q.N.2IV Solved
7 Minutes
50. Exercise-7 Q.N.2 Vii&XI Solved
11 Minutes
51. Exercise-7 Q.N.3 I,III, VI Solved
7 Minutes
52. Exercise-7 Q.N.3,VII.IX Solved
6 Minutes
53. Exercise-7 Q.N.4 i Solved
9 Minutes
54. Exercise-7.Q.N.4 III Solved_1
5 Minutes
55. Exercise-7 Q.N. 4 VI Solved
5 Minutes
56. Exercise-7 Q.n.4 VII Solved
6 Minutes
57. Exercise-7 Q,N,6 Solved
12 Minutes
58. Exercise-7 Q.N.8 Solved
7 Minutes
59. Exercise-7 Q.N.9 Solved
7 Minutes
60. Singularities,Poles & Raesidue- Basic Definitions
31 Minutes
61. Residue- Defintions & Formula
22 Minutes
62. Exercise-8 Q.N.1 i&ii Solved
21 Minutes
63. Exercise-8 Q.1, IV&VII Solved
11 Minutes
64. Exercise-8 Q.N.1 VIII solved
14 Minutes
65. Exercise-8 Q.N.1 XIII &XVIII solved
17 Minutes
66. Exercise-8 Q.N.1 XX solved
17 Minutes
67. Exercise-8 Q.N.1 XXII solved
8 Minutes
68. Exercise-8 Q.N.2 I&II solved
16 Minutes
69. Exercise-8 Q.N.2 VI&VII solved
11 Minutes
70. Exercise-8 Q.N.3 solved
9 Minutes
71. Exercise-8 Q.N.6 solved
9 Minutes
72. Exercise-8 Q.N.7 solved
5 Minutes
73. Evaluation Of real integrals
15 Minutes
74. Exercise-9 Q,N,1 Solved
17 Minutes
75. Exercise-9 Q,N,3 solved
16 Minutes
76. Exercise-9 Q.N.5 Solved and 6 Hints
14 Minutes
77. Exercise-9 Q,N.7 Solved_1
23 Minutes
78. Exercise-9 Q.N.9 Solved
18 Minutes
79. Exercise-9 Q.N.12 Solved
11 Minutes
Chapter-2 The Z-Transform
50 Lessons
10h 47m
1.Chapter -2 Z-transform
14 Minutes
2.Properties of Z transform -Theorem -1
6 Minutes
3.Properties of Z-transform Theorem-2 to 5
19 Minutes
4.Properties of Z-Transform THeorem -6 Shifting Theorem
30 Minutes
5.Properties of Z-transform Theorem -7-Complex Translation theorem
7 Minutes
6.Properties Of Z-transform -8 &9 -Initial &Final Value Theorems-Proofs
19 Minutes
7.Z-transform of elementary functions
13 Minutes
8.Z-transform-Real Convolution Theorem
20 Minutes
9.Exercise-10 Q.N.1 i&ii solved
12 Minutes
10.Exercise-10 Q,N,1 V solved
10 Minutes
11.Exercise-10 Q.N.1 VIII solved
12 Minutes
12.Exercise-10 Q,N,1 X solved
13 Minutes
13.Exercise-10 Q.N.XII solved
14 Minutes
14. Exercise-10 Q.N.2 i solved
3 Minutes
15.Exercise-10 Q,N2 iii SOLVED
8 Minutes
16.Exercise-10 Q.N.2 VI solved
6 Minutes
17 .Exercise-10 Q,N2 VII&XII solved
12 Minutes
18.Exercise-10 Q.N.2 XIV &XVI solved
10 Minutes
19.Exercise-10 Q,N,2 XVII solved
10 Minutes
20.Exercise-10 Q.N.3 I,II,III &V solved
13 Minutes
21.Exercise-10 Q.N. 3 VII solved
3 Minutes
22.Exercise-10 Q,N,4 solved
6 Minutes
23.Exercise-10 Q,N,5 solved
15 Minutes
24.Exercise-10 Q,N,6 solved
17 Minutes
25.Exercise-10 Q.N.8II solved
6 Minutes
26.Exercise-10 Q,N.9 solved
8 Minutes
27.Inverse-Z-transform -Definition & Formula
7 Minutes
28.Methods for Finding inverse -Z transform
18 Minutes
29.Exercise-11 Q.N.1 solved
8 Minutes
30.Exercise-11 Q.N.4 solved
10 Minutes
31.Exercise-11 Q.N.8 solved
8 Minutes
32.Exercise-11 Q.N.9 solved
7 Minutes
33.Exercise-11 Q,N,10 solved
12 Minutes
34.Exercise-11 Q.N.11 solved
7 Minutes
35.Exercise-11 Q.N.12 solved &Q.N.14 hints
17 Minutes
36.Exercise-11-Q.N.15 solved
11 Minutes
37.Exercise-11 Q.N.17 solved
13 Minutes
38.Exercise-11 Q.N.19 solved
13 Minutes
39.Exercise-11 Q.N.20 solved& Q.N.23 Hints
11 Minutes
40.Exercise-11 Q.N.25 solved
14 Minutes
41.Exercise-11 Q.N.26 solved
15 Minutes
42.Application Of Z-Transform
6 Minutes
43.Exercise-12 Q.N.1 solved
14 Minutes
44.Exercise-12 Q.N.2 solved
17 Minutes
45.Exercise-12 Q.N.5 solved
18 Minutes
46.Exercise-12 Q.N.7 Solved
24 Minutes
47.Exercise-12 Q.N.9 solved
16 Minutes
48.Exercise-12 Q.N.12 solved
10 Minutes
49.Exercise-12 Q.N.15 solved
17 Minutes
50.Exercise-12 Q.N.16 solved
22 Minutes
Chapter-3 Partial Differential Equation
30 Lessons
8h 37m
1. Partial Differential Equations(PDE)-Introduction &definition
16 Minutes
2.Wave equation-Derivation
22 Minutes
3.Solution of Wave Equation- Formula ,Boundary& Initial conditions
9 Minutes
4.Exercise-13 Q.N.1 solved
25 Minutes
5.Exercise-13 Q.N.2 solved
23 Minutes
6.Exercise-13-Q.N.3 solved
21 Minutes
7.Exercise-13-Q.N.4 solved
18 Minutes
8.Exercise-13-Q.N.4 Last part
21 Minutes
9.Exercise-13-Q.N,5 solved
17 Minutes
10.Exercise-13-Q.N.5 Last part
11 Minutes
11.Heat Equation-Derivation
21 Minutes
12.Solution Of Heat Equation-Discussion
8 Minutes
13.Exercise-14 Q.N.1 solved
13 Minutes
14. Exercise-14 Q.N.2 solved
23 Minutes
15.Exercise-14 Q.N.3 solved
18 Minutes
16.Exercise-14-Q.N.4 solved
21 Minutes
17.Exercise-14-Q.N.5...continued-First part
16 Minutes
18.Exercise-14-Q,N.5 Continued....Second part
4 Minutes
19.Exercise-14-Q.N.5 ..continued....Third part
22 Minutes
20.Two dimensional heat equation
22 Minutes
21.Laplace Equation &its solution
8 Minutes
22.Exercise-15 -Q.N.1 solved
12 Minutes
23.Exercise-15-Q.N.3 solved
17 Minutes
24.Exercise-15-Q.N.5 solved
18 Minutes
25.Laplace equation in polar form
22 Minutes
26.Laplace equation in polar form- Last part-
8 Minutes
27.Exercise-16 Qn1 solution
20 Minutes
28.Exercise-16-Q,N,1 last part
9 Minutes
29.Exercise-16-q.N.2
19 Minutes
30.Exercise-16 Q.N. 2 last part
16 Minutes
Chapter-4 The Fourier Transform
27 Lessons
4h 41m
1.Fourier Transform-Introduction of Fourier Integral
17 Minutes
2.Fourier Integral in Complex form
12 Minutes
3.Exercise-17 Q.N.1 solved
13 Minutes
4.Exercise-17 Q,N,2 solved
22 Minutes
5.Exercise-17 Q.N.3 solved
10 Minutes
6.Exercise-17 Q.N.5 solved
14 Minutes
7.Exercise-17-Q.N.6i solved
5 Minutes
8.Exercise-17 Q,N,6 ii solved
6 Minutes
9.Exercise-17-Q.N.7 i solved
7 Minutes
10.Exercise-17-Q.N.7 ii solved
7 Minutes
11.Fourier Transform-Definition
8 Minutes
12.Fourier Cosine Transform-Derivation
8 Minutes
13.Fourier Sine Transform-Derivation
7 Minutes
14.Convolution Theorem-Proof
14 Minutes
15.Parseval Identity for Fourier Transform
11 Minutes
16.Paeseval Identity for Fourier Cosine &Sine Transform
5 Minutes
17.Exercise-18- Q.N.1 solved
5 Minutes
18.Exercise-18-Q.n.3 solved
5 Minutes
19.Exercise-18-Q.N.5 solved
16 Minutes
20.Exercise-18-Q,N.8 solved
11 Minutes
21.Exercise-18-Q.N.10 solved
6 Minutes
22.Exercise-18-Q.N.12 solved
8 Minutes
23.Exercise-18-Q.N 13 solved
10 Minutes
24.Exercise-18-Q.N.14 solved
6 Minutes
25.Exercise-18-Q.N.15 i solved
9 Minutes
26.Exercise-18-Q.N.16 solving
14 Minutes
27.Exercise-18-Q.N.16-Last part solved
16 Minutes
