1. Course number and name

010153008-68 การวิเคราะห์เทนเซอร์และการแปลง (Tensor Analysis and Transforms)

2. Credits and contact hours

3(3-0-6)

3. Instructor’s or course coordinator’s name

Assoc.Prof. Dr.Kraisorn Chaisaowong

4. Text book, title, author, and year

1. Signals & systems / Alan V. Oppenheim, Alan S. Willsky with S. Hamid Nawab, Upper Saddle River, N.J. : Prentice-Hall, c1997
2. Phil Dyke, An Introduction to Laplace Transforms and Fourier Series, Springer, Second Edition, 2014
3. Introduction to vectors and tensors, Vol 1: linear and multilinear algebra, (Plenum Press, 1976) Bowen, Ray M.; Wang, C. C.
4. Introduction to vectors and tensors, Vol 2: vector and tensor analysis, (6/20/2006) Bowen, Ray M.; Wang, C.-C.

5. Specific course information

1. brief description of the content of the course (catalog description)
   Vectors; vector spaces; linear transformation; change of coordinates; tensors; tensors in coordinates; tensor operations; inner products; permutation; vector fields and tensor fields; vector calculus and tensor calculus; Fourier transform; inverse Fourier transform; discrete-time Fourier transform (DTFT); Inverse discrete-time Fourier transform (IDTFT); Laplace transform; inverse Laplace transform; z-transform; inverse z-transform; discrete Fourier transform (DFT); inverse discrete Fourier transform (IDFT).
2. prerequisites or co-requisites
   010153003-68 Electrical Engineering Mathematics
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 Be able to solve problems that are related to vector calculus.
   2. CLO2 Be able to solve problems that are related to tensor analysis.
   3. CLO3 Be able to solve problems that are related to transforms and inverse transform.
   4. CLO4 Be able to acquire and apply new knowledge as needed, using appropriate learning strategies.
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 Be able to solve problems that are related to vector calculus. CLO2 Be able to solve problems that are related to tensor analysis. CLO3 Be able to solve problems that are related to transforms and inverse transform.
   SO7 an ability to acquire and apply new knowledge as needed, using appropriate learning strategies.	CLO4 Be able to acquire and apply new knowledge as needed, using appropriate learning strategies.

7. Brief list of topics to be covered

8. Course Assessment