Course syllabus

010113031-65 คณิตศาสตร์ในสัญญาณและระบบ (Mathematics in Signal and System)

Course Syllabus

Data entry : Assoc.Prof. Dr.Akkarat Boonpoonga
1. Course number and name

010113031-65 คณิตศาสตร์ในสัญญาณและระบบ (Mathematics in Signal and System)

2. Credits and contact hours

3(3-0-6)

3. Instructor’s or course coordinator’s name

Assoc.Prof. Dr.Akkarat Boonpoonga
Dr.Jartuwat Rajruangrabin

4. Text book, title, author, and year

  1. Simon Haykin and Barry Van Veen, “Signals and Systems”. 2nd ed. Wiley (2005)

5. Specific course information

  1. brief description of the content of the course (catalog description)
    Overview of signals and systems; classification of signals; properties of systems; time-domain representation of linear time-invariant systems; convolution; properties of linear time-invariant; impulse response; differential equation; Fourier representation; complex sinusoids and frequency response of linear time-invariant systems; properties of Fourier representation; inverse Fourier transforms; Laplace transform and its applications; inverse Laplace transform; Z-transform and its applications; inverse Z-transform; region of convergence; pole and zero; Bode diagram.
  2. prerequisites or co-requisites
    040203112-65 Engineering Mathematics II
  3. indicate whether a required, elective, or selected elective (as per Table 5-1) course in the program
    Required :

6. Specific goals for the course

  1. specific outcomes of instruction (e.g. The student will be able to explain the significance of current research about a particular topic.)
    1. CLO1 classify signals and systems into continuous and discrete types.
    2. CLO2 Mathematically model continuous and discrete linear, time-invariant systems using differential/difference equations respectively.
    3. CLO3 Apply computations of the four fundamental Fourier transforms to the analysis of linear systems.
    4. CLO4 Apply computations of the Laplace transform to the analysis of linear systems.
    5. CLO5 Apply computations of the Z-transform to the analysis of linear systems.
  2. explicitly indicate which of the student outcomes listed in Criterion 3 or any other outcomes are addressed by the course.
    ABET Student Outcome (SO) Listed in Criterion 3 Course learning outcome (CLO)
    SO1 an ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics.
    • CLO4 Apply computations of the Laplace transform to the analysis of linear systems.
    • CLO5 Apply computations of the Z-transform to the analysis of linear systems.

7. Brief list of topics to be covered
Week Topic Details Activities
week 1-3 Introduction:
week 4-6 Time Domain representation of Linear Time-Invariant (LTI) Systems
week 7-9 Fourier representation of Signal and LTI System
week 10-12 Representing signals by using Continuous-Time Complex Exponentials (the Laplace Transform)
week 13-16 Representing signals by using Discrete-Time Complex Exponentials (the z-Transform)
8. Course Assessment
Course assessment Weight score (%) Assessment tools Date
Midterm exmaination 50 midterm examination 23 Jun 2026 - 15 Aug 2026
Final Examination 50 final examination 15 Aug 2026 - 27 Oct 2026
The grading table
Grading Rank
>= 80% A
70% - 79.99% B+
65% - 69.99% B
60% - 64.99% C+
50% - 59.99% C
45% - 49.99% D+
40% - 44.99% D
0% - 39.99% F

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