Course Objectives
(1) Can make a deductive inference based on basic matters, including reading and writing logical sentences including equations.
(2) Can perform basic calculations in Fourier analysis, and apply them to engineering and physics on a basic level.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
Achievement 1 | Can accurately make a deductive inference based on basic matters. | Can make a deductive inference based on basic matters. | Cannot make a deductive inference based on basic matters. |
Achievement 2 | Can fully perform basic calculations in Fourier analysis, and fully apply them to engineering and physics on a basic level. | Can perform basic calculations in Fourier analysis, and apply them to engineering and physics on a basic level. | Cannot perform basic calculations in Fourier analysis, and apply them to engineering and physics on a basic level. |
Assigned Department Objectives
学習・教育到達度目標 (D)
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学習・教育到達度目標 (H)
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Teaching Method
Outline:
In this course, we will learn the basics of Fourier analysis (including topics on the Laplace transform) based on the calculus and linear algebra learned so far. This is also applied to engineering and physics, so this class will also cover them, including basic applications.
Style:
Classes will be taught in a lecture style, and there will also be exercises and quizzes.
Notice:
Do pre-study and review (including problem exercises). In problem exercises, do not try to remember the steps to solve a problem, but rather try to solve it yourself based on definitions and basic theorem and ideas. Also, if necessary, review the content learned during the previous years.
Students can earn extra points by submitting voluntary assignments, and lose their points depending on their attitude, etc. in the class.
Students who miss 1/3 or more of classes will not be eligible for a passing grade.
Characteristics of Class / Division in Learning
Course Plan
|
|
|
Theme |
Goals |
1st Semester |
1st Quarter |
1st |
Review of calculus Organize data |
Can handle the basic matters of calculus that's necessary for future learning. Can organize data.
|
2nd |
Organize data Laplace transform |
Can organize data. Can calculate and discuss based on the basic matters of the Laplace transform.
|
3rd |
Laplace transform |
Can calculate and discuss based on the basic matters of the Laplace transform.
|
4th |
Laplace transform Application to vibration phenomena |
Can calculate and discuss based on the basic matters of the Laplace transform. Can apply the Laplace transform to vibration phenomena.
|
5th |
Application to vibration phenomena |
Can apply the Laplace transform to vibration phenomena.
|
6th |
Fourier series |
Can calculate and discuss based on the basic matters of a Fourier series.
|
7th |
Fourier series |
Can calculate and discuss based on the basic matters of a Fourier series.
|
8th |
Midterm exam
|
|
2nd Quarter |
9th |
Fourier series |
Can calculate and discuss based on the basic matters of a Fourier series.
|
10th |
Fourier transform |
Can calculate and discuss based on the basic matters of a Fourier transform.
|
11th |
Fourier transform |
Can calculate and discuss based on the basic matters of a Fourier transform.
|
12th |
Wave equation |
Can handle a wave phenomenon based on the laws of motion and Fourier analysis methods.
|
13th |
Wave equation Heat equation |
Can handle a wave phenomenon based on the laws of motion and Fourier analysis methods. Can handle a heat conduction phenomena based on the law of conservation and Fourier analysis methods.
|
14th |
Heat equation |
Can handle a heat conduction phenomena based on the law of conservation and Fourier analysis methods.
|
15th |
Supplementary lesson on the Laplace transform |
Can calculate and discuss matters related to delta function and convolution.
|
16th |
Final exam
|
|
Evaluation Method and Weight (%)
| Examination | Exercises / Short test | Total |
Subtotal | 60 | 40 | 100 |
Basic Proficiency | 60 | 40 | 100 |
Specialized Proficiency | 0 | 0 | 0 |
Cross Area Proficiency | 0 | 0 | 0 |