# Engineering Mathematics IV

Engineering Maths IV (Applied Maths) Bachelor of Engineering(BE) videos According to syllabus of Institute of Engineering(IoE), Tribhuwan University (TU)

Intermediate 5 (2 Reviews ) 171 Students enrolled
Created by Mero School Last updated Mon, 17-May-2021 Nepali
What will I learn?
• After Completion of this Course, Students will get complete knowledge of Engineering Maths IV (Applied Maths), based on syllabus of IoE and will be able to secure good score in IoE exam.

Curriculum for this course
187 Lessons 47:13:33 H:M:S
0. Course Introduction & Mark Distribution
1 Lessons 00:05:20 H:M:S
• 1.Engine.math -IV, Marking Scheme 00:05:20 Free
• 1. Complex analysis-Introduction of Complex number_1 00:36:34 Free
• 2. Complex number -Exercise-1 Q.N.1_1 00:25:59 Free
• 3. Complex number-exercise-1 Q.N.2 00:12:51
• 4. Complex number -Exercise-1 Q.N.3 00:28:31
• 5. Complex number-exercise-1,Q.N.4-6 00:27:27
• 6. Complex analysis- analytic functions, defintion &theorem 00:24:24
• 7. Complex analytic functions- Basic terms & definitions;Limit Continuity.Derivative 00:52:00
• 8. Complex Analytic functions-Theorem on derivative 00:22:49
• 9. Complex analysis-Laplace equation & theorem on analytic function 00:26:21
• 10. Complex analysis-Polar Form of C-R Equations 00:18:02
• 11. Complex Analysis-exercise-2 Q.N.1 solved 00:41:33
• 12. Exercise-2-Q.N.1-VII solved 00:04:11
• 13. Exercise-2-Q.N.1-VIII solved 00:05:58
• 14. Exercise-2-Q.N.1.IX solved 00:06:01
• 15. Complex analsis-exercise-2,Q.N-2-6 00:28:52
• 16. Exercise-2-Q.N.7 only 00:12:58
• 17. Complex Analysis-Exercise-2,Q.N.8-10 00:23:19
• 18. Oct 19 ko Exercise-2 Complex analysis-Q.N.11 -I & II solved 00:07:41
• 19. Exercise-2 Complex analysis- Q.N 00:12:13
• 20. Exercise-2 Complex analysis-QN.11-VI &VII solved 00:09:23
• 21. Exercise-2-Complex Analysis-Qn-12 Solved 00:06:28
• 22. Harmonic Functions-Definitions &Theorem 00:19:29
• 23. Harmonic Function-Exercise-3 Q.N.1 00:35:46
• 24. Harmonic function-Exercise-3.Q.N.2 00:12:27
• 25. Harmonic Function-Exercise-3,Q.N.3 &4 (i) solved 00:27:27
• 26. Harmonic Functions-EXercise-3,Q.N.4IV,VII,VIII,solved 00:39:26
• 27. Harmonic Function-Exercise-3 Q.N.6&7 solved_1 00:28:58
• 28. Conformal Mapping- Defintion &LFT-introduction-definition_1 00:17:14
• 29. Conformal Mapping-Exercise-4 Q.N.1 &2 solved 00:24:13
• 30. Conformal mapping Exercise-4 Q.N.4,5 &7 solved 00:23:17
• 31. Exercise-16 Q.N.3 solved 00:15:00
• 32. S-C Transformation 00:15:27
• 33. Complex Integration-Definitions 00:13:36
• 34. Cauchy Integral Theorem-Statement &Proof 00:17:09
• 35. Cauchy Integral Formula -Statement &Proof 00:22:54
• 36. Cauchy Inequality & Liouvilles inequality 00:13:13
• 37. Exercise-6 (Cauchy Integral Formula),Q.N.1 &2 solved 00:17:34
• 38. Exercise-6,Q.N.3i Solved 00:07:47
• 39. Cauchy Integral Formula ,Exercise-6 Q.N. 4i,ii,iii,v Solved 00:30:51
• 40. Cauchy Integral Formula-Exercise-6 Q.N.5i,iii,v Solved 00:27:01
• 41. Cauchy Integral Formula-Exercise-6,Q.N.6i,iii,iv Solved 00:26:09
• 42. Cauchy Integral Formula-Exercise-6 Q.N.7&8 Solved 00:14:33
• 43. Laurent,taylor Series & Laurent Theorem 00:16:21
• 44. Exercise-7 1. Q.N.i &iii Solved 00:16:44
• 45. Exercise-7 Q.N.1 iv &v Solved 00:20:14
• 46. Exercise-7 Q.N.1, VII &IX, Solved 00:16:25
• 47. Exercise-7 Q.N. xii solved 00:06:42
• 48. Exercise-7, Q.N.2 I&II Solved 00:21:20
• 49. Exercise-7 Q.N.2IV Solved 00:07:46
• 50. Exercise-7 Q.N.2 Vii&XI Solved 00:11:48
• 51. Exercise-7 Q.N.3 I,III, VI Solved 00:07:04
• 52. Exercise-7 Q.N.3,VII.IX Solved 00:06:08
• 53. Exercise-7 Q.N.4 i Solved 00:09:21
• 54. Exercise-7.Q.N.4 III Solved_1 00:05:54
• 55. Exercise-7 Q.N. 4 VI Solved 00:05:29
• 56. Exercise-7 Q.n.4 VII Solved 00:06:41
• 57. Exercise-7 Q,N,6 Solved 00:12:12
• 58. Exercise-7 Q.N.8 Solved 00:07:25
• 59. Exercise-7 Q.N.9 Solved 00:07:10
• 60. Singularities,Poles & Raesidue- Basic Definitions 00:31:24
• 61. Residue- Defintions & Formula 00:22:26
• 62. Exercise-8 Q.N.1 i&ii Solved 00:21:43
• 63. Exercise-8 Q.1, IV&VII Solved 00:11:40
• 64. Exercise-8 Q.N.1 VIII solved 00:14:17
• 65. Exercise-8 Q.N.1 XIII &XVIII solved 00:17:18
• 66. Exercise-8 Q.N.1 XX solved 00:17:47
• 67. Exercise-8 Q.N.1 XXII solved 00:08:37
• 68. Exercise-8 Q.N.2 I&II solved 00:16:26
• 69. Exercise-8 Q.N.2 VI&VII solved 00:11:11
• 70. Exercise-8 Q.N.3 solved 00:09:08
• 71. Exercise-8 Q.N.6 solved 00:09:04
• 72. Exercise-8 Q.N.7 solved 00:05:52
• 73. Evaluation Of real integrals 00:15:16
• 74. Exercise-9 Q,N,1 Solved 00:17:56
• 75. Exercise-9 Q,N,3 solved 00:16:19
• 76. Exercise-9 Q.N.5 Solved and 6 Hints 00:14:55
• 77. Exercise-9 Q,N.7 Solved_1 00:23:20
• 78. Exercise-9 Q.N.9 Solved 00:18:24
• 79. Exercise-9 Q.N.12 Solved 00:11:50
• 1.Chapter -2 Z-transform 00:14:36
• 2.Properties of Z transform -Theorem -1 00:06:37
• 3.Properties of Z-transform Theorem-2 to 5 00:19:19
• 4.Properties of Z-Transform THeorem -6 Shifting Theorem 00:30:39
• 5.Properties of Z-transform Theorem -7-Complex Translation theorem 00:07:59
• 6.Properties Of Z-transform -8 &9 -Initial &Final Value Theorems-Proofs 00:19:48
• 7.Z-transform of elementary functions 00:13:30
• 8.Z-transform-Real Convolution Theorem 00:20:59
• 9.Exercise-10 Q.N.1 i&ii solved 00:12:29
• 10.Exercise-10 Q,N,1 V solved 00:10:57
• 11.Exercise-10 Q.N.1 VIII solved 00:12:54
• 12.Exercise-10 Q,N,1 X solved 00:13:01
• 13.Exercise-10 Q.N.XII solved 00:14:46
• 14. Exercise-10 Q.N.2 i solved 00:03:20
• 15.Exercise-10 Q,N2 iii SOLVED 00:08:23
• 16.Exercise-10 Q.N.2 VI solved 00:06:23
• 17 .Exercise-10 Q,N2 VII&XII solved 00:12:53
• 18.Exercise-10 Q.N.2 XIV &XVI solved 00:10:45
• 19.Exercise-10 Q,N,2 XVII solved 00:10:26
• 20.Exercise-10 Q.N.3 I,II,III &V solved 00:13:32
• 21.Exercise-10 Q.N. 3 VII solved 00:03:50
• 22.Exercise-10 Q,N,4 solved 00:06:06
• 23.Exercise-10 Q,N,5 solved 00:15:13
• 24.Exercise-10 Q,N,6 solved 00:17:26
• 25.Exercise-10 Q.N.8II solved 00:06:03
• 26.Exercise-10 Q,N.9 solved 00:08:32
• 27.Inverse-Z-transform -Definition & Formula 00:07:56
• 28.Methods for Finding inverse -Z transform 00:18:07
• 29.Exercise-11 Q.N.1 solved 00:08:55
• 30.Exercise-11 Q.N.4 solved 00:10:34
• 31.Exercise-11 Q.N.8 solved 00:08:46
• 32.Exercise-11 Q.N.9 solved 00:07:09
• 33.Exercise-11 Q,N,10 solved 00:12:13
• 34.Exercise-11 Q.N.11 solved 00:07:43
• 35.Exercise-11 Q.N.12 solved &Q.N.14 hints 00:17:42
• 36.Exercise-11-Q.N.15 solved 00:11:17
• 37.Exercise-11 Q.N.17 solved 00:13:45
• 38.Exercise-11 Q.N.19 solved 00:13:49
• 39.Exercise-11 Q.N.20 solved& Q.N.23 Hints 00:11:51
• 40.Exercise-11 Q.N.25 solved 00:14:49
• 41.Exercise-11 Q.N.26 solved 00:15:22
• 42.Application Of Z-Transform 00:06:17
• 43.Exercise-12 Q.N.1 solved 00:14:04
• 44.Exercise-12 Q.N.2 solved 00:17:00
• 45.Exercise-12 Q.N.5 solved 00:18:32
• 46.Exercise-12 Q.N.7 Solved 00:24:42
• 47.Exercise-12 Q.N.9 solved 00:16:03
• 48.Exercise-12 Q.N.12 solved 00:10:26
• 49.Exercise-12 Q.N.15 solved 00:17:47
• 50.Exercise-12 Q.N.16 solved 00:22:02
• 1. Partial Differential Equations(PDE)-Introduction &definition 00:16:36
• 2.Wave equation-Derivation 00:22:53
• 3.Solution of Wave Equation- Formula ,Boundary& Initial conditions 00:09:20
• 4.Exercise-13 Q.N.1 solved 00:25:59
• 5.Exercise-13 Q.N.2 solved 00:23:27
• 6.Exercise-13-Q.N.3 solved 00:21:38
• 7.Exercise-13-Q.N.4 solved 00:18:42
• 8.Exercise-13-Q.N.4 Last part 00:21:00
• 9.Exercise-13-Q.N,5 solved 00:17:45
• 10.Exercise-13-Q.N.5 Last part 00:11:52
• 11.Heat Equation-Derivation 00:21:45
• 12.Solution Of Heat Equation-Discussion 00:08:30
• 13.Exercise-14 Q.N.1 solved 00:13:51
• 14. Exercise-14 Q.N.2 solved 00:23:10
• 15.Exercise-14 Q.N.3 solved 00:18:55
• 16.Exercise-14-Q.N.4 solved 00:21:26
• 17.Exercise-14-Q.N.5...continued-First part 00:16:39
• 18.Exercise-14-Q,N.5 Continued....Second part 00:04:32
• 19.Exercise-14-Q.N.5 ..continued....Third part 00:22:25
• 20.Two dimensional heat equation 00:22:36
• 21.Laplace Equation &its solution 00:08:04
• 22.Exercise-15 -Q.N.1 solved 00:12:49
• 23.Exercise-15-Q.N.3 solved 00:17:22
• 24.Exercise-15-Q.N.5 solved 00:18:49
• 25.Laplace equation in polar form 00:22:53
• 26.Laplace equation in polar form- Last part- 00:08:11
• 27.Exercise-16 Qn1 solution 00:20:32
• 28.Exercise-16-Q,N,1 last part 00:09:31
• 29.Exercise-16-q.N.2 00:19:03
• 30.Exercise-16 Q.N. 2 last part 00:16:51
• 1.Fourier Transform-Introduction of Fourier Integral 00:17:31
• 2.Fourier Integral in Complex form 00:12:02
• 3.Exercise-17 Q.N.1 solved 00:13:02
• 4.Exercise-17 Q,N,2 solved 00:22:12
• 5.Exercise-17 Q.N.3 solved 00:10:18
• 6.Exercise-17 Q.N.5 solved 00:14:18
• 7.Exercise-17-Q.N.6i solved 00:05:22
• 8.Exercise-17 Q,N,6 ii solved 00:06:24
• 9.Exercise-17-Q.N.7 i solved 00:07:20
• 10.Exercise-17-Q.N.7 ii solved 00:07:40
• 11.Fourier Transform-Definition 00:08:03
• 12.Fourier Cosine Transform-Derivation 00:08:09
• 13.Fourier Sine Transform-Derivation 00:07:16
• 14.Convolution Theorem-Proof 00:14:19
• 15.Parseval Identity for Fourier Transform 00:11:47
• 16.Paeseval Identity for Fourier Cosine &Sine Transform 00:05:49
• 17.Exercise-18- Q.N.1 solved 00:05:28
• 18.Exercise-18-Q.n.3 solved 00:05:01
• 19.Exercise-18-Q.N.5 solved 00:16:32
• 20.Exercise-18-Q,N.8 solved 00:11:38
• 21.Exercise-18-Q.N.10 solved 00:06:16
• 22.Exercise-18-Q.N.12 solved 00:08:04
• 23.Exercise-18-Q.N 13 solved 00:10:03
• 24.Exercise-18-Q.N.14 solved 00:06:08
• 25.Exercise-18-Q.N.15 i solved 00:09:47
• 26.Exercise-18-Q.N.16 solving 00:14:11
• 27.Exercise-18-Q.N.16-Last part solved 00:16:27
• Requirements
• Students are required to have knowledge of knowledge of Engineering Maths IV (Applied Maths), based on syllabus of IoE
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Description
The videos herein are strictly based on syllabus of Institute of Engineering Tribhuwan University, Nepal promoting e-Learning in Nepal and are made with intention to provide guidance to the Bachelor in Engineering(BE) appearing students , for securing good results. The course tries to cover all the basics of Complex Analysis and Z-Transform. This course also comprises Partial Differential Equation and Fourier Transform with solution of most frequently asked questions in final exam of BE with fundamental theories and numericals. We strongly believe that, viewers will be benefited from these videos and the thrist of curiosity of viewers will be quenched! Feedbacks and suggestion to improve are always welcome and highly appreciated!
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