# Engineering Mathematics II

- Institution: IIT Kharagpur
- Department: Mathematics
- Teacher: Prof. Jitendra Kumar
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111105134)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111105134)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 01 : Vector Functions](https://invisiblenetwork.ai/learn/nptel/111105134/832c7e5a2006) (Video)
2. [Lecture 02: Vector and Scalar Fields](https://invisiblenetwork.ai/learn/nptel/111105134/63edf3154cd7) (Video)
3. [Lecture 03: Divergence and Curl of a Vector Field](https://invisiblenetwork.ai/learn/nptel/111105134/9f848151b5a4) (Video)
4. [Lecture 04: Line Integrals](https://invisiblenetwork.ai/learn/nptel/111105134/ba52ec035745) (Video)
5. [Lecture 05: Conservative Vector Field](https://invisiblenetwork.ai/learn/nptel/111105134/42d2b6a16ca6) (Video)
6. [Lecture 06: Green's Theorem](https://invisiblenetwork.ai/learn/nptel/111105134/6ae94b61d520) (Video)
7. [Lecture 07: Surface Integral - I](https://invisiblenetwork.ai/learn/nptel/111105134/58c0763f6a61) (Video)
8. [Lecture 08: Surface Integral - II](https://invisiblenetwork.ai/learn/nptel/111105134/8a9b28925c03) (Video)
9. [Lecture 09: Stokes' Theorem](https://invisiblenetwork.ai/learn/nptel/111105134/d8c9fdf2e6a8) (Video)
10. [Lecture 10: Divergence Theorem](https://invisiblenetwork.ai/learn/nptel/111105134/2de335ddd9e7) (Video)
11. [Lecture 11: Complex Numbers and Functions](https://invisiblenetwork.ai/learn/nptel/111105134/4c556376b32c) (Video)
12. [Lecture 12: Differentiability of Complex Functions](https://invisiblenetwork.ai/learn/nptel/111105134/1cf1230478d7) (Video)
13. [Lecture 13: Analytic Functions](https://invisiblenetwork.ai/learn/nptel/111105134/0a3bf07a0537) (Video)
14. [Lecture 14: Line Integral](https://invisiblenetwork.ai/learn/nptel/111105134/1e2fd315e7b3) (Video)
15. [Lecture 15: Cauchy Integral Theorem](https://invisiblenetwork.ai/learn/nptel/111105134/091f2ce7caeb) (Video)
16. [Lecture 16 : Cauchy Integral Formula](https://invisiblenetwork.ai/learn/nptel/111105134/0d57283954cc) (Video)
17. [Lecture 17 : Taylor's Series](https://invisiblenetwork.ai/learn/nptel/111105134/4da9ffaee2da) (Video)
18. [Lecture 18 : Laurent's Series](https://invisiblenetwork.ai/learn/nptel/111105134/c2b5b56c191f) (Video)
19. [Lecture 19 : Singularities](https://invisiblenetwork.ai/learn/nptel/111105134/ae0f0ba9127e) (Video)
20. [Lecture 20 : Residue](https://invisiblenetwork.ai/learn/nptel/111105134/06bb3a3167e6) (Video)
21. [Lecture 21 : Iterative Methods for Solving System of Linear Equations](https://invisiblenetwork.ai/learn/nptel/111105134/402043d310a0) (Video)
22. [Lecture 22 : Iterative Methods for Solving System of Linear Equations (Cont.)](https://invisiblenetwork.ai/learn/nptel/111105134/b9b2b9fa62e3) (Video)
23. [Lecture 23 : Iterative Methods for Solving System of Linear Equations (Cont.)](https://invisiblenetwork.ai/learn/nptel/111105134/011bb277c964) (Video)
24. [Lecture 24 : Roots of Algebraic and Transcendental Equations](https://invisiblenetwork.ai/learn/nptel/111105134/7bac0a6f8115) (Video)
25. [Lecture 25 : Roots of Algebraic and Transcendental Equations (Cont.)](https://invisiblenetwork.ai/learn/nptel/111105134/e0617be3e684) (Video)
26. [Lecture 26: Polynomial Interpolation](https://invisiblenetwork.ai/learn/nptel/111105134/214fc47211ce) (Video)
27. [Lecture 27: Polynomial Interpolation (Cont.)](https://invisiblenetwork.ai/learn/nptel/111105134/88f8b0dc3e55) (Video)
28. [Lecture 28: Polynomial Interpolation (Cont.)](https://invisiblenetwork.ai/learn/nptel/111105134/6b4d2acf8fed) (Video)
29. [Lecture 29: "Polynomial Interpolation (Cont.)"](https://invisiblenetwork.ai/learn/nptel/111105134/9f6d75136e78) (Video)
30. [Lecture 30: Numerical Integration](https://invisiblenetwork.ai/learn/nptel/111105134/694a37250d64) (Video)
31. [Lecture 31: "Trigonometric Polynomials and Series"](https://invisiblenetwork.ai/learn/nptel/111105134/e826e27d2689) (Video)
32. [Lecture 32: Derivation of Fourier Series](https://invisiblenetwork.ai/learn/nptel/111105134/30657c16d25a) (Video)
33. [Lecture 33: Fourier Series -Evaluation](https://invisiblenetwork.ai/learn/nptel/111105134/887d5aa103ea) (Video)
34. [Lecture 34: Convergence of Fourier Series -I](https://invisiblenetwork.ai/learn/nptel/111105134/09f66c9f7778) (Video)
35. [Lecture 35: "Convergence of Fourier Series - II"](https://invisiblenetwork.ai/learn/nptel/111105134/4c16477d3c16) (Video)
36. [Lecture 36: "Fourier Series for Even and Odd Functions"](https://invisiblenetwork.ai/learn/nptel/111105134/568e2067a3f5) (Video)
37. [Lecture 37: Half Range Fourier Expansions](https://invisiblenetwork.ai/learn/nptel/111105134/78111e48b7c5) (Video)
38. [Lecture 38: "Differentiation and Integration of Fourier Series"](https://invisiblenetwork.ai/learn/nptel/111105134/388eeda47e8b) (Video)
39. [Lecture 39: Bessel's Inequality and Parseval's Identity](https://invisiblenetwork.ai/learn/nptel/111105134/3947a59e8574) (Video)
40. [Lecture 40: Complex Form of Fourier Series](https://invisiblenetwork.ai/learn/nptel/111105134/263101881e52) (Video)
41. [Lecture 41: "Fourier Integral Representation of a Function"](https://invisiblenetwork.ai/learn/nptel/111105134/9bc203f7838a) (Video)
42. [Lecture 42: "Fourier Sine and Cosine Integrals"](https://invisiblenetwork.ai/learn/nptel/111105134/5b167b7078c7) (Video)
43. [Lecture 43: " Fourier Cosine and Sine Transform"](https://invisiblenetwork.ai/learn/nptel/111105134/7e00207c4e38) (Video)
44. [Lecture 44: Fourier Transform](https://invisiblenetwork.ai/learn/nptel/111105134/eb18ace21da1) (Video)
45. [Lecture 45: Properties of Fourier Transform](https://invisiblenetwork.ai/learn/nptel/111105134/b708aee58b23) (Video)
46. [Lecture 46: "Evaluation of Fourier Transform (Part - 1)"](https://invisiblenetwork.ai/learn/nptel/111105134/8f44d6dbaa1b) (Video)
47. [Lecture 47: "Evaluation of Fourier Transform (Part - 2)"](https://invisiblenetwork.ai/learn/nptel/111105134/9dfd4f38bce9) (Video)
48. [Lecture 48: " Introduction to Partial Differential Equations"](https://invisiblenetwork.ai/learn/nptel/111105134/8775e60b4e8e) (Video)
49. [Lecture 49 : Applications of Fourier Transform to PDEs (Part -1)](https://invisiblenetwork.ai/learn/nptel/111105134/54b8c56b376e) (Video)
50. [Lecture 50 : Applications of Fourier Transform to PDEs (Part -2)](https://invisiblenetwork.ai/learn/nptel/111105134/aebfcb85e8c6) (Video)
51. [Lecture 51 : Laplace Transform of Some Elementary Functions](https://invisiblenetwork.ai/learn/nptel/111105134/c7810a644558) (Video)
52. [Lecture 52 : Existence of Laplace Transform](https://invisiblenetwork.ai/learn/nptel/111105134/037ff44e1aa5) (Video)
53. [Lecture 53 : Inverse Laplace Transform](https://invisiblenetwork.ai/learn/nptel/111105134/d88ad3c2dcf7) (Video)
54. [Lecture 54 : Properties of Laplace Transform](https://invisiblenetwork.ai/learn/nptel/111105134/d0b40c322efc) (Video)
55. [Lecture 55 : Properties of Laplace Transform (Cont.)](https://invisiblenetwork.ai/learn/nptel/111105134/e1d7cd39312a) (Video)
56. [Lecture 56 : Properties of Laplace Transform (Cont.)](https://invisiblenetwork.ai/learn/nptel/111105134/430f38d57840) (Video)
57. [Lecture 57 : Laplace Transform of Special Functions](https://invisiblenetwork.ai/learn/nptel/111105134/2e9e85c1688b) (Video)
58. [Lecture 58 : Laplace Transform of Special Functions (Cont.)](https://invisiblenetwork.ai/learn/nptel/111105134/7e58d5636fd1) (Video)
59. [Lecture 59 : Applications of Laplace Transform](https://invisiblenetwork.ai/learn/nptel/111105134/53808431fb72) (Video)
60. [Lecture 60 : Applications of Laplace Transform (Cont.)](https://invisiblenetwork.ai/learn/nptel/111105134/d9d97b22fa36) (Video)
61. [Live Session 22-02-2021](https://invisiblenetwork.ai/learn/nptel/111105134/832c7e5a2006-2) (Video)
62. [Live Session 13-03-2021](https://invisiblenetwork.ai/learn/nptel/111105134/63edf3154cd7-2) (Video)
63. [Live Session 10-04-2021](https://invisiblenetwork.ai/learn/nptel/111105134/9f848151b5a4-2) (Video)
64. [Live Session 02-03-2020](https://invisiblenetwork.ai/learn/nptel/111105134/ba52ec035745-2) (Video)
65. [Live Session 26-03-2020](https://invisiblenetwork.ai/learn/nptel/111105134/42d2b6a16ca6-2) (Video)
66. [Live Session 18-02-2022](https://invisiblenetwork.ai/learn/nptel/111105134/6ae94b61d520-2) (Video)
67. [Live Session 03-12-2022](https://invisiblenetwork.ai/learn/nptel/111105134/58c0763f6a61-2) (Video)
68. [Live Session 04-06-2022](https://invisiblenetwork.ai/learn/nptel/111105134/8a9b28925c03-2) (Video)
69. [Live Session 28-02-2024](https://invisiblenetwork.ai/learn/nptel/111105134/d8c9fdf2e6a8-2) (Video)
70. [Live Session 18-03-2024](https://invisiblenetwork.ai/learn/nptel/111105134/2de335ddd9e7-2) (Video)
71. [Live Session 17-04-2024](https://invisiblenetwork.ai/learn/nptel/111105134/4c556376b32c-2) (Video)
72. [Live Session 18-02-2025](https://invisiblenetwork.ai/learn/nptel/111105134/1cf1230478d7-2) (Video)
73. [Live Session 19-03-2025](https://invisiblenetwork.ai/learn/nptel/111105134/0a3bf07a0537-2) (Video)
74. [Live Session 09-04-2025](https://invisiblenetwork.ai/learn/nptel/111105134/1e2fd315e7b3-2) (Video)