|
| Course Content |
Time Allocated |
| L |
T |
P |
A |
Introduction
- Complex numbers, Argand diagram
|
2 |
|
|
|
Analytic Functions
- Limits, Continuity, Differentiability, Analytic Functions, Cauchy-Riemann equations, Harmonic functions
|
3 |
1 |
|
|
Complex Integration
- Line integrals properties, Contours, Jordan curve theorem, Green theorem, Cauchy's theorem, Cauchy integral formula
|
6 |
1 |
|
|
Complex Series
- Convergence, Tests for convergence, Power series, Taylor series, Laurent series
|
4 |
|
|
|
Theory of Residues
- Singularities and classification, Residue theorem, Calculation of residues, Argument principle, Rouche's theorem, Evaluation of definite integrals
|
6 |
1 |
|
|
Conformal Mappings
- Complex mapping functions, Riemann's mapping theorem, General transformations, Linear transformation, Bilinear transformation, Selected special transformations, Inverse transformations, Schwarz-Christoffel transformation, Applications
|
5 |
1 |
|
|
| Total = 26 + 4 = 30 |
26 |
4 |
|
|
| |
| Assessment |
Percentage Mark |
| Continuous Assessment |
|
10 |
| Assignment |
10 |
|
| Course work |
|
|
| Written Examinations |
|
90 |
| Mid-Semester |
20 |
|
| End of Semester |
70 |
|
|
Notation Used :
L - Lectures
T - Tutorials
P - Practical works
A - Assignments |