Course syllabus

010153003-63 คณิตศาสตร์วิศวกรรมไฟฟ้า (Electrical Engineering Mathematics)

Course Syllabus

Data entry : Asst.Prof. Dr.Sukritta Paripurana
1. Course number and name

010153003-63 คณิตศาสตร์วิศวกรรมไฟฟ้า (Electrical Engineering Mathematics)

2. Credits and contact hours

3(3-0-6)

3. Instructor’s or course coordinator’s name

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. Peyton Z. Peebles, Jr., “Probability, Random Variables, and Random Signal Principles”, 4th ed., Mcgraw-Hill, 2001.
  4. David C. Lay, “Linear Algebra and its applications”, 4th ed., Pearson, 2012.
  5. Peter J Olver and Chehrzad Shakiban, “Applied linear algebra”, 2nd ed, Springer International Publishing, 2018.

5. Specific course information

  1. brief description of the content of the course (catalog description)
    This course requires student to be able to apply mathematic knowledge to create models and solve electrical engineering problems. This topic in this course includes Fourier series, Fourier transform, inverse Fourier transform, Laplace transform, inverse Laplace transform, z-transform, inverse z-transform, linear algebra, matrix analysis, probability, conditional probability, random variable, random vector, probability mass function, cumulative distribution function, probability density function; independence, mean, variance; covariance, hypothesis test.
  2. prerequisites or co-requisites
    040283112-63 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 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 Write and describe basic proofs.
    3. CLO3 Develop and maintain problem-solving skills.
    4. CLO4 Perform basic computations in higher 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 Write and describe basic proofs.
    • CLO3 Develop and maintain problem-solving skills.
    • CLO4 Perform basic computations in higher mathematics.
    SO2 an ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors.
    • 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.
    SO6 an ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions.
    • CLO2 Write and describe basic proofs.

7. Brief list of topics to be covered
  • Linear algebra, system of linear equations, solution and elementary operations, elimination method, existence and uniqueness, Homogenous equation.
  • Matrix equation, Matrices and Matrix operation, Inverse of matrix, matrix transformation.
  • Determinants, properties of determinants, Cramer's rule and linear transformation, adjugates.
  • Fourier series, Fourier transform, inverse Fourier transform, complex form of Fourier series, discrete frequency spectra.
  • Laplace transform, inverse Laplace transform.
  • Z-transform, inverse z-transform.
  • Probability, conditional probability, random variable, random vector, probability mass function, cumulative distribution function, probability density function, independence, mean, variance, covariance, hypothesis test.
8. Course Assessment
Course assessment Weight score (%) Assessment tools Date
Examination 1 25 midterm examination
Examination 2 25 midterm examination
Final examination 40 final examination
Quizs and assignments 10 quiz, assignment
The grading table
Grading Rank
>= 80% A
73% - 79% B+
64% - 72% B
57% - 63% C+
49% - 56% C
41% - 48% D+
35% - 40% D
0% - 34% F

หมายเหตุ - ลำดับเนื้อหาจะมีการปรับเปลี่ยนตามความเหมาะสม