Course syllabus
010153003-68 คณิตศาสตร์วิศวกรรมไฟฟ้า (Electrical Engineering Mathematics)
Course Syllabus
Data entry : Asst.Prof. Dr.Pisit Vanichchanan
1. Course number and name
010153003-68 คณิตศาสตร์วิศวกรรมไฟฟ้า (Electrical Engineering Mathematics)
2. Credits and contact hours
3(3-0-6)
3. Instructor’s or course coordinator’s name
Asst.Prof. Dr.Pisit Vanichchanan
Asst.Prof. Dr.Sukritta Paripurana
4. Text book, title, author, and year
- Erwin Kreyszig, “Advanced Engineering Mathematics,” 10th ed., Wiley, 2011.
- Glyn James, “Advanced Modern Engineering Mathematics,” 4th ed., Pearson, 2011.
- David C. Lay, “Linear Algebra and its applications,” 4th ed., Pearson, 2012.
- Peter J Olver and Chehrzad Shakiban, “Applied linear algebra,” 2nd ed., Springer International Publishing, 2018.
- James Ward Brown and Ruel V. Churchill, “Complex Variables and Applications,” 8th ed. Mc Graw Hill.
- James F. Epperson, "An Introduction to Numerical Methods and Analysis," Wiley, 2013.
5. Specific course information
- brief description of the content of the course (catalog description)
Complex numbers; analytic functions; elementary functions; integration of complex functions; Fourier series; Fourier transform; inverse Fourier transform; system of linear equations; linear algebra; elementary row-operation; matrix analysis; determinant; inverse matrices; vector space; inner product space; linear transformation; eigenvalue; eigenvector; matrix decomposition; numerical methods; numerical differentiation and integration; numerical solutions. - prerequisites or co-requisites
- 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 Describe and apply the mathematical theorems and concepts to solve related mathematic problems which are necessary basic backgrounds for analyzing electrical engineering problems in higher years of the study plan.
- CLO2 Perform basic computations in mathematics.
- CLO3 Write and describe basic proofs.
- CLO4 Develop and maintain problem-solving skills in mathematics.
- 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 Describe and apply the mathematical theorems and concepts to solve related mathematic problems which are necessary basic backgrounds for analyzing electrical engineering problems in higher years of the study plan.
- CLO2 Perform basic computations in mathematics.
- CLO3 Write and describe basic proofs.
- CLO4 Develop and maintain problem-solving skills in mathematics.
7. Brief list of topics to be covered
| Week | Topic | Details | Activities |
|---|---|---|---|
| 01 | Introduction | Course overview; course contents; rules of class; examination plan; grading plan and criteria | |
| 02 | Linear Algebra | System of linear equations; row operations; solutions of linear equation systems | |
| 03 | Matrix Algebra | Matrix addition; matrix subtraction; matrix multiplication; matrix transpose | |
| 04 | Determinants | Definition of determinants; cofactors; adjoint (adjacent); matrix inverses | |
| 05 | Vector Spaces | Definition of vector spaces; vector subspaces; linear independent of vectors; basis and dimension | |
| 06 | Orthogonality | Inner product; orthogonality; orthogonal sets; Gram-Schmidt orthogonalization process | |
| 07 | Eigenvalues and Eigenvectors | Basic properties of eigenvalues and eigenvectors | |
| 08 | Complex Numbers | ||
| 09 | Complex-Valued Functions | Limit; derivatives; analytic functions; elementary functions | |
| 10 | Fourier Series | Periodic functions; trigonometric form of Fourier series; complex exponential form of Fourier series | |
| 11 | Fourier Transform | ||
| 12 | Inverse Fourier Transform | ||
| 13 | Root Finding | Introduction to numerical methods; root finding; bisection method; Newton's methods | |
| 14 | Numerical Integration | Numerical derivative; numerical integration; trapezoid rule; Simpson's rule |
8. Course Assessment
| Course assessment | Weight score (%) | Assessment tools | Date |
|---|---|---|---|
| Formative 1 | 10 | quiz, assignment, class activity | 27 Nov 2025 - 13 Mar 2026 |
| Formative 2 | 25 | midterm examination | 01 Jan 2026 - 31 Jan 2026 |
| Formative 3 | 20 | midterm examination | 02 Feb 2026 - 28 Feb 2026 |
| Formative 4 | 20 | midterm examination | 16 Feb 2026 - 07 Mar 2026 |
| Summative | 25 | final examination | 28 Mar 2026 |
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