1. |
Class guide, introduction to scalar and vector |
Review of scalar and vector |
30minutes |
2. |
Vector operations and applications |
Review inner product, outer product, trigonometric functions |
90minutes |
3. |
Complex number and basic arithmetic operation |
Review complex number properties |
45minutes |
4. |
Complex-valued function, holomorphic function |
Review Gauss plane and Riemann surface |
90minutes |
5. |
Conformal mapping |
Review complex plane, s-plane, z-plane |
90minutes |
6. |
Bilinear transformation and its applications |
Review conformal mapping |
45minutes |
7. |
Midterm exam |
Review lecture #1 to #6 |
120minutes |
8. |
Taylor series and expansion, Mclaurin series and expansion |
Review power series |
60minutes |
9. |
Fourier series and Fourier transform 1 |
Review basic calculus |
45minutes |
10. |
Fourier transform 2 |
Review Fourier series |
45minutes |
11. |
Laplace Transform |
Review Fourier transform |
45minutes |
12. |
Sampling theorem, discrete time signal processing |
Review Fourier transform |
30minutes |
13. |
Z-transform |
Review Fourier transform |
30minutes |
14. |
Final exam |
Review lecture #8 to #13 |
120minutes |
Total. |
- |
- |
885minutes |