2017 Theory of Linear System

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Academic unit or major
Undergraduate major in Transdisciplinary Science and Engineering
Obara Toru  Yamashita Yukihiko  Takagi Hiroshi  Tsutsui Hiroaki  Bin Abdul Aziz Azril Haniz 
Class Format
Lecture / Exercise     
Media-enhanced courses
Day/Period(Room No.)
Mon3-4(S513)  Thr3-4(S513)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
Language used
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Course description and aims

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.

Student learning outcomes

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.

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

Lecture and Practice

Course schedule/Required learning

  Course schedule Required learning
Class 1 Determinant 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, Laurent series, pole, singular point, and residue equation Calculation with Taylor series, Laurent 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 a continuous time system
Class 12 Analysis of continuous time system Analysis of a 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"

Reference books, course materials, etc.

None in particular

Assessment criteria and methods

Evaluated based on the final examination and reports.

Related courses

  • TSE.M201 : Ordinary Differential Equations and Physical Phenomena

Prerequisites (i.e., required knowledge, skills, courses, etc.)

None in particular


Syllabus will be changed at any time.

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