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
- Simon Haykin and Barry Van Veen, “Signals and Systems”. 2nd ed. Wiley (2005)
5. Specific course information
- 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. - prerequisites or co-requisites
040203112-65 Engineering Mathematics II - indicate whether a required, elective, or selected elective (as per Table 5-1) course in the program
Required :
6. Specific goals for the course
- specific outcomes of instruction (e.g. The student will be able to explain the significance of current research about a particular topic.)
- 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.
- 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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