The purpose of this course is to learn the way to handle complex numbers and their functions, the concept of frequency, and the theory of linear systems in systems analysis, which are important to the study of engineering.
To learn the basics of linear algebra, the function of complex numbers, Fourier transform, Laplace transform, z-transform, theory to model systems and to understand linear circuits and the basis of control theory.
Determinant, eigenvalue, eigenvector, function of complex numbers, Cauchy-Riemann equations, Taylor series, Laurant series, pole, Fourier expansion, Fourier transform, Laplace transform, discrete time Fourier transform, discrete Fourier transform, z-transform, continuous time system, discrete time system, controllability, observability, and stability.
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Lecture and Practice
Course schedule | Required learning | |
---|---|---|
Class 1 | Deteminant | Calculation of determinant |
Class 2 | Eigen value and eigen vector | Calculation with eigen value and eigen vector |
Class 3 | Function of complex numbers | Calculation with functions of complex numbers |
Class 4 | Analytic functions and Cauchy-Riemann equation | Calculation with analytic functions and Cauchy-Riemann equation |
Class 5 | Integral of function of complex numbers | Calculation with integral of function of complex numbers |
Class 6 | Taylor series, Laurant series, pole, singular point, and residue equation | Calculation with Taylor series, Laurant series, pole, singular point, and residue equation |
Class 7 | Fourier series | Calculation of Fourier series |
Class 8 | Fourier transform | Calculation of Fourier transform |
Class 9 | Laplace transform | Calculation of Laplace transform |
Class 10 | Laplace inverse transform | Calculation of Laplace inverse transform |
Class 11 | Modeling of continuous time system | Modeling continuous time system |
Class 12 | Analysis of continuous time system | Analysis of continuous time system |
Class 13 | Feedback control | Calculation of Feedback control |
Class 14 | Controllability, observability, and stability | Judgement of controllability, observability, and stability |
Class 15 | Transformation of discrete time function | Calculation of transformation of discrete time function |
Hwei P. Hsu, "Signals and Systems"
Nothing especially
Evaluated by term‐end examination and reports.
Nothing especially
Syllabus will be changed at any time.