Course syllabus

  1. Learning outcome
  2. Course syllabus

010113031-65 คณิตศาสตร์ในสัญญาณและระบบ (Mathematics in Signal and System)

Course Syllabus

Data entry : Asst.Prof.Wisute Ongcunaruk
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

Asst.Prof.Wisute Ongcunaruk

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)
  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.
    • CLO1 classify signals and systems into continuous and discrete types.
    • CLO2 Mathematically model continuous and discrete linear, time-invariant systems using differential/difference equations respectively.
    • CLO3 Apply computations of the four fundamental Fourier transforms to the analysis of linear systems.
    • 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
1-3 Introduction: i. Signals: Classification, Basic Operations, Elementary signals, noise ii. Systems: Properties, systems viewed as interconnections of operations
4-6 Time Domain representation of Linear Time-Invariant (LTI) Systems i. Convolution sum ii. Convolution Integral iii. Step response iv. Solving differential and difference equations v. Block diagram representation vi. State-variable description of LTI systems
7-9 Fourier representation of Signal and LTI System i. Complex sinusoidal and frequency response of LTI systems ii. Fourier representations for four classes of Signals iii. The Discrete-Time Fourier Series for discrete-time periodic signals iv. The Fourier Series for continuous-time periodic signals v. The Discrete-Time Fourier Transform for discrete-time nonperiodic signals vi. The Fourier Transform for continuous-time nonperiodic signals vii. Properties of Fourier representation
10-12 Representing signals by using Continuous-Time Complex Exponentials (the Laplace Transform) i. The Laplace Transform ii. The Unilateral Laplace Transform iii. Properties of the Unilateral Laplace Transform iv. Inversion of the Unilateral Laplace Transform v. Solving Differential Equations with Initial conditions vi. Properties of the Bilateral Laplace Transform vii. Properties of the Region of Convergence (ROC) viii. Inversion of the Bilateral Laplace Transform ix. The Transfer Function x. Determine the Frequency Response from Poles and Zeros, and Bode diagram
13-15 Representing signals by using Discrete-Time Complex Exponentials (the z-Transform) i. The z-Transform ii. Properties of the Region of Convergence (ROC) iii. Properties of the z-Transform iv. Inversion of the z-Transform v. The Transfer Function vi. The Unilateral z-Transform vii. Determine the Frequency Response from Poles and Zeros, and Bode diagram
8. Course Assessment
Course assessment Weight score (%) Assessment tools Date
Midterm exmaination 50 midterm examination 26 Jan 2026
Final Examination 50 final examination 09 Mar 2026

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