1. Week |
Scalar and vector quantities, scalar and vector field concepts, vector arithmetic. Unit and position vector |
Course Hours Verbal Expression Practice Preparation, After Class Study |
2. Week |
Orthogonal coordinate systems; Cartesian, cylindrical coordinate systems and point and vector transformations in these systems |
Course Hours Verbal Expression Preparation, After Class Study Practice |
3. Week |
Spherical coordinate system, point and vector representation in this system and spherical-cylindrical and spherical-Cartesian point and vector transformations |
Preparation, After Class Study Verbal Expression Practice Course Hours |
4. Week |
Exact differential and vector derivatives, nabla operator, gradient and Laplacian concepts |
Verbal Expression Preparation, After Class Study Course Hours Practice |
5. Week |
Vector derivatives : Divergence of a vector fields |
Course Hours Preparation, After Class Study |
6. Week |
Vector derivatives : Curl of a vector fields |
Preparation, After Class Study Course Hours Verbal Expression Practice |
7. Week |
Line, surface and volume integrals for vector fields |
Verbal Expression Preparation, After Class Study Course Hours Practice |
8. Week |
Line, surface and volume integrals for vector fields |
Preparation, After Class Study Course Hours |
9. Week |
Gauss - Ostrogradsky theorem |
Course Hours Preparation, After Class Study |
10. Week |
Stokes' Theorem |
Preparation, After Class Study Course Hours |
11. Week |
Complex numbers and complex plane |
Preparation, After Class Study Course Hours |
12. Week |
De Moivre Theorem |
Course Hours Preparation, After Class Study |
13. Week |
Laplace Transform |
Course Hours Preparation, After Class Study |
14. Week |
Inverse Laplace Transform |
Preparation, After Class Study Course Hours |