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 (3 Reviews ) 237 Students enrolled
Last updated Thu, 19-May-2022 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 47h 14m
0. Course Introduction & Mark Distribution
1 Lessons 5m
  • 1.Engine.math -IV, marking scheme 5 Minutes Free
  • 1. Complex analysis-Introduction of Complex number 36 Minutes Free
  • 2. Complex number -Exercise-1 Q.N.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 analysis-exercise-2 Q.N.2-6 28 Minutes
  • 16. Exercise-2-Q.N.7 solved 12 Minutes
  • 17. Complex Analysis-Exercise-2,Q.N.8-10 23 Minutes
  • 18. Exercise-2 Complex analysis-Q.N.11 -i & ii solved 7 Minutes
  • 19. Exercise-2 Complex analysis- Q.N.11-iii& v solved 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 28 Minutes
  • 28. Conformal Mapping- Definition &LFT-introduction-definition 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. S-C Transformation 15 Minutes
  • 32. Complex Integration-Definitions 13 Minutes
  • 33. Cauchy Integral Theorem-Statement &Proof 17 Minutes
  • 34. Cauchy Integral Formula -Statement &Proof 22 Minutes
  • 35. Cauchy Inequality & Liouvilles inequality 13 Minutes
  • 36. Exercise-6 (Cauchy Integral Formula),Q.N.1 &2 solved 17 Minutes
  • 37. Exercise-6,Q.N.3i Solved 7 Minutes
  • 38. Cauchy Integral Formula ,Exercise-6 Q.N. 4i,ii,iii,v Solved 30 Minutes
  • 39. Cauchy Integral Formula-Exercise-6 Q.N.5i,iii,v Solved 27 Minutes
  • 40. Cauchy Integral Formula-Exercise-6,Q.N.6i,iii,iv Solved 26 Minutes
  • 41. Cauchy Integral Formula-Exercise-6 Q.N.7&8 Solved 14 Minutes
  • 42. Laurent,taylor Series & Laurent Theorem 16 Minutes
  • 43. Exercise-7. Q.N. 1 i &iii Solved 16 Minutes
  • 44. Exercise-7 Q.N.1 iv &v Solved 20 Minutes
  • 45. Exercise-7 Q.N.1, vii &ix, Solved 16 Minutes
  • 46. Exercise-7, Q.N.2 i&ii Solved 21 Minutes
  • 47. Exercise-7 Q.N.2iv Solved 7 Minutes
  • 48. Exercise-7 Q.N.2 Vii&xi Solved 11 Minutes
  • 49. Exercise-7 Q.N.2 xii solved 6 Minutes
  • 50. Exercise-7 Q.N.3 i,iii, vi Solved 7 Minutes
  • 51. Exercise-7 Q.N.3,vii, ix Solved 6 Minutes
  • 52. Exercise-7 Q.N.4 i Solved 9 Minutes
  • 53. Exercise-7.Q.N.4 iii Solved 5 Minutes
  • 54. Exercise-7 Q.N. 4 vi Solved 5 Minutes
  • 55. Exercise-7 Q.N.4 vii Solved 6 Minutes
  • 56. Exercise-7 Q.N.6 Solved 12 Minutes
  • 57. Exercise-7 Q.N.8 Solved 7 Minutes
  • 58. Exercise-7 Q.N.9 Solved 7 Minutes
  • 59. Singularities,Poles & Raesidue- Basic Definitions 31 Minutes
  • 60. Residue- Defintions & Formula 22 Minutes
  • 61. Exercise-8 Q.N.1 i&ii Solved 21 Minutes
  • 62. Exercise-8 Q.N.1, iv&vii Solved 11 Minutes
  • 63. Exercise-8 Q.N.1 viii solved 14 Minutes
  • 64. Exercise-8 Q.N.1 xiii &xviii solved 17 Minutes
  • 65. Exercise-8 Q.N.1 xx solved 17 Minutes
  • 66. Exercise-8 Q.N.1 xxii solved 8 Minutes
  • 67. Exercise-8 Q.N.2 i&ii solved 16 Minutes
  • 68. Exercise-8 Q.N.2 vi&vii solved 11 Minutes
  • 69. Exercise-8 Q.N.3 solved 9 Minutes
  • 70. Exercise-8 Q.N.6 solved 9 Minutes
  • 71. Exercise-8 Q.N.7 solved 5 Minutes
  • 72. Evaluation Of real integrals 15 Minutes
  • 73. Exercise-9 Q.N.1 Solved 17 Minutes
  • 74. Exercise-9 Q.N.3 solved 16 Minutes
  • 75. Exercise-9 Q.N.5 Solved and 6 Hints 14 Minutes
  • 76. Exercise-9 Q,N.7 Solved 23 Minutes
  • 77. Exercise-9 Q.N.9 Solved 18 Minutes
  • 78. Exercise-9 Q.N.12 Solved 11 Minutes
  • 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.N.2 iii solved 8 Minutes
  • 16.Exercise-10 Q.N.2 vi solved 6 Minutes
  • 17 .Exercise-10 Q.N.2 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,iiii &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.8 ii 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
  • 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 Q.N.1 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
  • 31. Exercise-16 Q.N.3 solved 15 Minutes
  • 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
  • Requirements
    • Students are required to have knowledge of knowledge of Engineering Maths IV (Applied Maths), based on syllabus of IoE
    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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