Complex Analysis G4DNXXC991
| URI | m2://res/G4DNXXC991 |
|---|---|
| Kind | course |
| Creators | Kaushik Bal (instructor) |
| Date | 2026-07-18 |
| Scope | in |
| Ids | course 05pjsgx75:111104001 |
Expressions
e1: edition
| Language | en |
|---|---|
| Date | 2026-07-18 |
- m1: page, IIT Kanpur (record). nptel 111104001
- m2: page, 2026-07-18 (record). nptel 111104001
Contents
- part 1: Week 1
- session 1: Lecture 1: Complex Numbers and Basic Operations
- session 2: Lecture 2: Complex Numbers and Basic Operations II
- session 3: Lecture 3: Complex Numbers and Basic Operations III
- session 4: Lecture 4: Topology of Complex Plane
- part 2: Week 2
- session 5: Lecture 5: Limit and Continuity
- session 6: Lecture 6: Differentiability: Definition and CR Equation
- session 7: Lecture 7: Differentiability: Harmonic Conjugate and Polar Form
- part 3: Week 3
- session 8: Lecture 8: Elementary Functions: Exponential and Trigonometric
- session 9: Lecture 9: Elementary Functions: Complex Logarithm
- session 10: Lecture 10: Elementary Functions: Inverse Trigonometric Functions
- part 4: Week 4
- session 11: Lecture 11: Complex Line Integral 1
- session 12: Lecture 12: Complex Line Integral 2
- part 5: Week 5
- session 13: Lecture 13: Worked Out Examples
- session 14: Lecture 14: Cauchy Integral Theorem
- session 15: Lecture 15: Cauchy-Gourset Theorem for Multiply Connected Domain
- part 6: Week 6
- session 16: Lecture 16: Cauchy Integral Formula
- session 17: Lecture 17: CIF: Examples and Applications
- session 18: Lecture 18: Complex Series: Convergence
- part 7: Week 7
- session 19: Lecture 19: Convergence Test
- session 20: Lecture 20: Power Series
- session 21: Lecture 21: Analytic Function
- part 8: Week 8
- session 22: Lecture 22: Taylor Series Representation
- session 23: Lecture 23: Taylor Series Continued
- session 24: Lecture 24: Laurent Series
- part 9: Week 9
- session 25: Lecture 25: Laurent Series Continued
- session 26: Lecture 26: Residue
- session 27: Lecture 27: Residue at Infinity
- session 28: Lecture 28: Types of Singularity
- part 10: Week 10
- session 29: Lecture 29: Residue Formula
- session 30: Lecture 30: Application of Residue to Real Integral
- session 31: Lecture 31: Indentation Theorem
- part 11: Week 11
- session 32: Lecture 32: Meromorphic Function and Argument Principle
- session 33: Lecture 33: Rouche's Theorem
- session 34: Lecture 34: Open Mapping and Maximum Modulus Principle
- part 12: Week 12
- session 35: Lecture 35: Mobius Transformation
- session 36: Lecture 36: Conformal Map
- session 37: Lecture 37: Transformation of Harmonic Functions
Catalogue records
- nptel: 111104001 (manifestation)
- nptel_video: 111104001 (manifestation)