# Mathematical methods in Physics -I

- Institution: IIT Kharagpur
- Department: Physics
- Teacher: Prof. Samudra Roy
- Level: Undergraduate
- Language: English
- Subjects: Physics
- Source: [NPTEL](https://nptel.ac.in/courses/115105097)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/115105097)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 1 : Set, Group, Field, Ring](https://invisiblenetwork.ai/learn/nptel/115105097/c78c39dd1198) (Video)
2. [Lecture 2 : Vector Space](https://invisiblenetwork.ai/learn/nptel/115105097/7753e0daaefc) (Video)
3. [Lecture 3 : Span, Linear combination of vectors](https://invisiblenetwork.ai/learn/nptel/115105097/6c7cc8c2724b) (Video)
4. [Lecture 4 : Linearly dependent and independent vector, Basis](https://invisiblenetwork.ai/learn/nptel/115105097/9dc45512b7e1) (Video)
5. [Lecture 5 : Dual Space](https://invisiblenetwork.ai/learn/nptel/115105097/98d28b61a20f) (Video)
6. [Lecture 6 : Inner Product](https://invisiblenetwork.ai/learn/nptel/115105097/20fb8eb61035) (Video)
7. [Lecture 7 : Schwarz Inequality](https://invisiblenetwork.ai/learn/nptel/115105097/fcc10908fed6) (Video)
8. [Lecture 8 : Inner product space, Gram- Schmidt Ortho-normalization](https://invisiblenetwork.ai/learn/nptel/115105097/52cdfea2b69a) (Video)
9. [Lecture 9 : Projection operator](https://invisiblenetwork.ai/learn/nptel/115105097/9cbac4905948) (Video)
10. [Lecture 10 : Transformation of Basis](https://invisiblenetwork.ai/learn/nptel/115105097/853ec6889d8a) (Video)
11. [Lecture 11 : Transformation of Basis (Continue)](https://invisiblenetwork.ai/learn/nptel/115105097/6a0cad150bee) (Video)
12. [Lecture 12 : Unitary transformation, Similarity Transformation](https://invisiblenetwork.ai/learn/nptel/115105097/9af01e65e2c2) (Video)
13. [Lecture 13 : Eigen Value, Eigen Vectors](https://invisiblenetwork.ai/learn/nptel/115105097/9a3389baf574) (Video)
14. [Lecture 14 : Normal Matrix](https://invisiblenetwork.ai/learn/nptel/115105097/eb7e994ad62b) (Video)
15. [Lecture 15 : Diagonalization of a Matrix](https://invisiblenetwork.ai/learn/nptel/115105097/4dbc803362b7) (Video)
16. [Lecture 16: Hermitian Matrix](https://invisiblenetwork.ai/learn/nptel/115105097/c2874412f4b0) (Video)
17. [Lecture 17 : Rank of a Matrix](https://invisiblenetwork.ai/learn/nptel/115105097/13e86b9e53d0) (Video)
18. [Lecture 18 : Cayley - Hamilton Theorem, Function space](https://invisiblenetwork.ai/learn/nptel/115105097/620d5d0577fe) (Video)
19. [Lecture 19: Metric Space, Linearly dependent -independent functions](https://invisiblenetwork.ai/learn/nptel/115105097/ef786117616e) (Video)
20. [Lecture 20 : Linearly dependent -independent functions (Cont), Inner Product of functions](https://invisiblenetwork.ai/learn/nptel/115105097/ddc5b0563715) (Video)
21. [Lecture 21: Orthogonal functions](https://invisiblenetwork.ai/learn/nptel/115105097/79168d99fbb6) (Video)
22. [Lecture 22: Delta Function, Completeness](https://invisiblenetwork.ai/learn/nptel/115105097/12fd00ccf755) (Video)
23. [Lecture 23: Fourier](https://invisiblenetwork.ai/learn/nptel/115105097/5172b40c5253) (Video)
24. [Lecture 24: Fourier Series (Contd.)](https://invisiblenetwork.ai/learn/nptel/115105097/45104d9cd361) (Video)
25. [Lecture 25: Parseval Theorem, Fourier Transform](https://invisiblenetwork.ai/learn/nptel/115105097/1ec3233fa063) (Video)
26. [Lecture 26: Parseval Relation, Convolution Theorem](https://invisiblenetwork.ai/learn/nptel/115105097/4c1505527066) (Video)
27. [Lecture 27: Polynomial space, Legendre Polynomial](https://invisiblenetwork.ai/learn/nptel/115105097/71435db0bb02) (Video)
28. [Lecture 28: Monomial Basis, Factorial Basis, Legendre Basis](https://invisiblenetwork.ai/learn/nptel/115105097/8af31c21b0d8) (Video)
29. [Lecture 29: Complex Numbers](https://invisiblenetwork.ai/learn/nptel/115105097/fbd8afbca68f) (Video)
30. [Lecture 30: Geometrical interpretation of complex numbers](https://invisiblenetwork.ai/learn/nptel/115105097/50c177d687de) (Video)
31. [Lecture 31 : de Moivre's Theorem](https://invisiblenetwork.ai/learn/nptel/115105097/26dc3927f2f7) (Video)
32. [Lecture 32 : Roots of a complex number](https://invisiblenetwork.ai/learn/nptel/115105097/8d708bb0ea7c) (Video)
33. [Lecture 33 : Set of complex no, Stereographic projection](https://invisiblenetwork.ai/learn/nptel/115105097/05a863ae9a39) (Video)
34. [Lecture 34 : Complex Function, Concept of Limit](https://invisiblenetwork.ai/learn/nptel/115105097/7bea75af3680) (Video)
35. [Lecture 35 : Derivative of Complex Function, Cauchy-Riemann Equation](https://invisiblenetwork.ai/learn/nptel/115105097/392503973dfe) (Video)
36. [Lecture 36 : Analytic Function](https://invisiblenetwork.ai/learn/nptel/115105097/fd3c8475cb63) (Video)
37. [Lecture 37 : Harmonic Conjugate](https://invisiblenetwork.ai/learn/nptel/115105097/1fa8514b52f9) (Video)
38. [Lecture 38 : Polar form of Cauchy-Riemann Equation](https://invisiblenetwork.ai/learn/nptel/115105097/0c509120d820) (Video)
39. [Lecture 39 : Multi-valued function and Branches](https://invisiblenetwork.ai/learn/nptel/115105097/90c0026ab980) (Video)
40. [Lecture 40 : Complex Line Integration, Contour , Regions](https://invisiblenetwork.ai/learn/nptel/115105097/ef6c9403ea50) (Video)
41. [Lecture 41: Complex Line Integration(Cont.)](https://invisiblenetwork.ai/learn/nptel/115105097/d4e4fbac920e) (Video)
42. [Lecture 42: Cauchy-Goursat Theorem](https://invisiblenetwork.ai/learn/nptel/115105097/cf9239753491) (Video)
43. [Lecture 43 : Application of Cauchy-Goursat Theorem](https://invisiblenetwork.ai/learn/nptel/115105097/410d7451ede9) (Video)
44. [Lecture 44: Cauchy's Integral Formula](https://invisiblenetwork.ai/learn/nptel/115105097/cd18abbb4cd0) (Video)
45. [Lecture 45: Cauchy's Integral Formula (Contd.)](https://invisiblenetwork.ai/learn/nptel/115105097/402b0caef0a4) (Video)
46. [Lecture 46:Series and Sequence](https://invisiblenetwork.ai/learn/nptel/115105097/cc8765169fdc) (Video)
47. [Lecture 47:Series and Sequence (Contd.)](https://invisiblenetwork.ai/learn/nptel/115105097/25207ba7b998) (Video)
48. [Lecture 48:Circle and radius of convergence](https://invisiblenetwork.ai/learn/nptel/115105097/0eaaa84cf986) (Video)
49. [Lecture 49: Taylor Series](https://invisiblenetwork.ai/learn/nptel/115105097/545a24224448) (Video)
50. [Lecture 50 Classification of singularity](https://invisiblenetwork.ai/learn/nptel/115105097/8ec2f5c75770) (Video)
51. [Lecture 51: Laurent Series, Singularity](https://invisiblenetwork.ai/learn/nptel/115105097/f5ded3e4c38f) (Video)
52. [Lecture 52: Laurent series expansion](https://invisiblenetwork.ai/learn/nptel/115105097/ba09a7e1c470) (Video)
53. [Lecture 53: Laurent series expansion (Cont), Concept of Residue](https://invisiblenetwork.ai/learn/nptel/115105097/d7ad83236aab) (Video)
54. [Lecture 54: Classification of Residue](https://invisiblenetwork.ai/learn/nptel/115105097/7a48e14fcf41) (Video)
55. [Lecture 55: Calculation of Residue for quotient from](https://invisiblenetwork.ai/learn/nptel/115105097/4db516721b57) (Video)
56. [Lecture 56 : Cauchy's Residue Theorem](https://invisiblenetwork.ai/learn/nptel/115105097/44b9f1de61b9) (Video)
57. [Lecture 57 : Cauchy's Residue Theorem (Cont)](https://invisiblenetwork.ai/learn/nptel/115105097/31b36bc27eaf) (Video)
58. [Lecture 58 : Real Integration using Cauchy's Residue Theorem](https://invisiblenetwork.ai/learn/nptel/115105097/a63ff886d6d1) (Video)
59. [Lecture 59 : Real Integration using Cauchy's Residue Theorem (Cont)](https://invisiblenetwork.ai/learn/nptel/115105097/9438bd877272) (Video)
60. [Lecture 60 : Real Integration using Cauchy's Residue Theorem (Cont)](https://invisiblenetwork.ai/learn/nptel/115105097/e77cd5892776) (Video)