The purpose of this course is to learn how to handle complex numbers and their functions, the concept of frequency, and the theory of linear systems necessary for analyzing these systems, which are important in 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
|Critical thinking skills
|Practical and/or problem-solving skills
Lecture and Practice
|Calculation of determinant
|Eigen value and eigen vector
|Calculation with eigen value and eigen vector
|Function of complex numbers
|Calculation with functions of complex numbers
|Analytic functions and Cauchy-Riemann equation
|Calculation with analytic functions and Cauchy-Riemann equation
|Integral of function of complex numbers
|Calculation with integral of function of complex numbers
|Taylor series, Laurent series, pole, singular point, and residue equation
|Calculation with Taylor series, Laurent series, pole, singular point, and residue equation
|Calculation of Fourier series
|Calculation of Fourier transform
|Calculation of Laplace transform
|Laplace inverse transform
|Calculation of Laplace inverse transform
|Modeling of continuous time system
|Modeling a continuous time system
|Analysis of continuous time system
|Analysis of a continuous time system
|Calculation of Feedback control
|Controllability, observability, and stability
|Judgement of controllability, observability, and stability
|Transformation of discrete time function
|Calculation of transformation of discrete time function
Hwei P. Hsu, "Signals and Systems"
None in particular
Evaluated based on the final examination and reports.
None in particular
Syllabus will be changed at any time.