Course Objectives
1. We can understand Furier series and its transformation, and compute of its fundamental computation.
2. We can understand Laplace transformation and operational calsulus, and compute of its fundamental computaion.
3. We can understand the construction method of differental equation , and compute of its fundamental problems.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
Achievement 1 | We can understand Fourier series an its tranformations and apply these for the various problems. | We can understand Fourier series an its tranformations and compute these for the fundamental problems. | We can understand Fourier series an its tranformations, and compute of its elementary problems. |
Achievement 2 | We can understand Laplace transformations and the operation method and apply these for the fundamental problems. | We can understand Laplace transformations and the operation method and compute the fundamental problems. | We can understand understand Laplace transformations and the operation method and compute of its elementary problems. |
Achievement 3 | We can understand the construction method of differentail equation and apply these for the fundamental problems. | We can understand the construction method of differentail equation and compute the fundamental problems. | We can understand the construction method of differentail equation and compute of its elementary problems. |
Assigned Department Objectives
Teaching Method
Outline:
We are to make a concentration for our class and use the knowledges and techniques about basic mathematics to construction of understanding of Fourier and Laplace transeformation and building up the solutions of ordinary and partial differential equations.
Style:
Our class is construction of the next three phases.
1. Review the important facts from the previous class.
2. Lecture about the new section.
3. Short exercises.
Notice:
Please make a good preparation and self-review.
You will build up the good style to do homework of the previous class.
Characteristics of Class / Division in Learning
Course Plan
|
|
|
Theme |
Goals |
1st Semester |
1st Quarter |
1st |
Fourier Series |
We can understand Fourier series and compute its fundamental problems.
|
2nd |
Fourier Series |
We can understand the applications of Fourier series and compute its fundamental problems.
|
3rd |
Fourier Series |
We can understand complex Fourier series and compute its fundamental problems.
|
4th |
Fourier Series |
We can understand Fourier transeformation and compute its fundamental problems.
|
5th |
Fourier Series |
We can understand Fourier intergrals and compute its fundamental problems.
|
6th |
Fourier Analysis |
We can understand the frequency analysis using Fourier transeformation and compute its fundamental problems.
|
7th |
Fourier Analysis |
We can understand the Fourier analysis of differential equation and compute its fundamental problems.
|
8th |
Mid-term examination |
|
2nd Quarter |
9th |
Laplace Transeformation |
We can understand Laplace transeformation and compute its fundamental problems.
|
10th |
Laplace Transeformation |
We can understand the applications of Laplace transformation and compute its fundamental problems.
|
11th |
Laplace Transeformation |
We can understand the basis and dimension of subspace and compute its fundamental problems.
|
12th |
Differential Equation and Its Function Space |
We can understand the linear mapping of vector space and compute its fundamental problems.
|
13th |
Differential Equation and Its Function Space |
We can understand the change of basis and representation matrix and compute its fundamental problems.
|
14th |
The Solutions of Partial Differential Equation |
We can understand the construction method of partial differentail equation and explain of it.
|
15th |
The Solutions of Partial Differential Equation |
We can compute the fundamental applicated problems using construction method of partial differential equation's solutions.
|
16th |
Final examination |
|
Evaluation Method and Weight (%)
| Examination | Presentation | Mutual Evaluations between students | Behavior | Portfolio | Other | Total |
Subtotal | 60 | 0 | 0 | 0 | 40 | 0 | 100 |
Basic Proficiency | 30 | 0 | 0 | 0 | 20 | 0 | 50 |
Specialized Proficiency | 20 | 0 | 0 | 0 | 10 | 0 | 30 |
Cross Area Proficiency | 10 | 0 | 0 | 0 | 10 | 0 | 20 |