1. Course number and name

010113614-65 พีชคณิตเชิงเส้นและตัวแปรเชิงซ้อน (Linear Algebra and Complex Variable)

2. Credits and contact hours

3(3-0-6)

3. Instructor’s or course coordinator’s name

Asst.Prof. Dr.Sukritta Paripurana
Prof. Dr.Prayoot Akkaraekthalin
MissOngorn Rattananatthawon

4. Text book, title, author, and year

1. Erwin Kreyszig, “Advanced Engineering Mathematics”. 10th ed. Wiley, 2011
2. David C. Lay, “Linear Algebra and its applications”. 4th ed. Addison-Wesley, 2012
3. James Ward Brown and Ruel V. Churchill, “Complex Variables and Applications”. 8th ed. Mc Graw Hill, 2009

5. Specific course information

1. brief description of the content of the course (catalog description)
   Matrix and determinant, system of linear equations, elementary operation, vector space, eigenvalue and eigenvector, inner product space, linear transformation, complex number, complex function, derivative, Cauchy-Riemann equation, analytic function, elementary function, complex integral, conformal mapping
2. prerequisites or co-requisites
3. indicate whether a required, elective, or selected elective (as per Table 5-1) course in the program
   Elective :

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 basic theorems and properties of mathematics frequently used in Electrical engineering.
   2. CLO2 Describe engineering problems as mathematics models.
   3. CLO3 Solve engineering problems by using mathematics.
   4. CLO4 Write and describe basic proof.
   5. CLO5 Explain the concept of eigenvalue and eigenvector, solve eigenvalue problems, and apply eigenvalue to solve differential equations.
   6. CLO6 Apply the Cauchy's Integral Formulas to evaluate complex integral.
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 basic theorems and properties of mathematics frequently used in Electrical engineering. CLO2 Describe engineering problems as mathematics models. CLO3 Solve engineering problems by using mathematics. CLO4 Write and describe basic proof. CLO5 Explain the concept of eigenvalue and eigenvector, solve eigenvalue problems, and apply eigenvalue to solve differential equations. CLO6 Apply the Cauchy's Integral Formulas to evaluate complex integral.
   SO7 an ability to acquire and apply new knowledge as needed, using appropriate learning strategies.	CLO3 Solve engineering problems by using mathematics.

7. Brief list of topics to be covered

8. Course Assessment