Complex Analysis QPBQR3SJNA
| URI | m2://res/QPBQR3SJNA |
|---|---|
| Kind | course |
| Creators | A. Swaminathan (instructor), V. K. Katiyar (instructor) |
| Scope | in |
| Ids | course 00582g326:111107056 |
Expressions
e1: edition
| Language | en |
|---|
- m1: page, IIT Roorkee (record). nptel 111107056
Contents
- part 1: Introduction
- session 1: Number system
- session 2: Algebra of Complex Numbers
- session 3: Inequalities and complex exponents
- part 2: Functions of a Complex Variable
- session 4: Topology of the Complex Plane
- session 5: Stereographic Projection
- session 6: Limit, Continuity and Differentiability
- session 7: Analytic functions
- session 8: Cauchy?Riemann equations
- session 9: Singular points and Applications to the problem of Potential Flow
- session 10: Harmonic functions
- part 3: Sequences and Series
- session 11: Complex sequences, series and their Convergence
- session 12: Uniform convergence and Power Series
- session 13: Elementary functions
- session 14: Hyperbolic functions and Logarithmic functions
- part 4: Complex Integration
- session 15: Parametric Integration
- session 16: Contour Integration and Cauchy’s theorem
- session 17: Cauchy Integral Formula
- session 18: Consequences of Cauchy integral formula
- part 5: Consequences of complex integration
- session 19: Maximum modulus principle and Schwarz lemma
- session 20: Taylor series
- session 21: Laurent Series
- session 22: Zeros and singularities
- part 6: Residue calculus
- session 23: Residue at a singularity
- session 24: Quotients of Analytic functions
- session 25: Contour integration and applications
- session 26: Evaluation of improper integrals
- session 27: Examples on improper integrals
- part 7: Conformal Mapping
- session 28: Conformal Mapping
- session 29: Special transformations
- session 30: Bilinear Transformation
- part 8: Mapping of Elementary transformation
- session 31: The mapping w= exp(z)
- session 32: The mapping w=1/z
- session 33: The mapping w=z^2 and its inverse mapping
- session 34: The mapping w=sin z
- part 9: Applications of conformal mapping
- session 35: Application to steady temperature
- session 36: Electro static potential
- session 37: two dimensional fluid flow and Stream function
- part 10: Further theory of analytic functions
- session 38: Schwarz Christoffel Transformation
- session 39: Schwarz Christoffel Transformation (continued)
- session 40: Poisson integral formula for the disc and plane
- session 41: Dirichlet problem for the disc and the plane
- session 42: Neumann problem for the disc and the plane
Catalogue records
- nptel: 111107056 (manifestation)