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

  1. Erwin Kreyszig, “Advanced Engineering Mathematics,” 10th ed., Wiley, 2011.
  2. Glyn James, “Advanced Modern Engineering Mathematics,” 4th ed., Pearson, 2011.
  3. David C. Lay, “Linear Algebra and its applications,” 4th ed., Pearson, 2012.
  4. Peter J Olver and Chehrzad Shakiban, “Applied linear algebra,” 2nd ed., Springer International Publishing, 2018.
  5. James Ward Brown and Ruel V. Churchill, “Complex Variables and Applications,” 8th ed. Mc Graw Hill.
  6. James F. Epperson, "An Introduction to Numerical Methods and Analysis," Wiley, 2013.

5. Specific course information

  1. 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.
  2. prerequisites or co-requisites
  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 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.
    2. CLO2 Perform basic computations in mathematics.
    3. CLO3 Write and describe basic proofs.
    4. CLO4 Develop and maintain problem-solving skills in mathematics.
  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 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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