Course Objectives
•To understand the concept of probability and expected value and actually calculate them.
•To understand the dispersion and standard deviation of one-dimensional data, and be prepared to make quantitative judgments
•To understand the correlation coefficient and regression line of two-dimensional data, and be prepared to make quantitative judgments.
Rubric
| Ideal Level of Achievement (Very Good) | Standard Level of Achievement (Good) | Unacceptable Level of Achievement (Fail) |
| Understands the concept of probability and expected value and can actually calculate them. | Understands the concept of probability and expected value and can actually calculate them swiftly and accurately. | Understands the concept of probability and expected value and can actually calculate them. | Cannot calculate them probabilities and expected values. |
| Learns how to sort one-dimensional data, understands dispersion and standard deviation, and is prepared to make quantitative judgments. | When the dispersion and standard deviation is issued after sorting one-dimensional data, the student is prepared to make quantitative judgments and can actually make quantitative judgments. | When the dispersion and standard deviation is issued after sorting one-dimensional data, the student is prepared to make quantitative judgments. | Cannot sort one-dimensional data or calculate the dispersion and standard deviation, or both, so the student is not prepared to make quantitative judgments. |
| Understands the correlation coefficient and regression line of two-dimensional data, and is prepared to make quantitative judgments. | When the correlation coefficient and regression line is issued from two-dimensional data, the student is prepared to make quantitative judgments and can actually make quantitative judgments. | When the correlation coefficient and regression line is issued from two-dimensional data, the student is prepared to make quantitative judgments. | Cannot calculate the correlation coefficient and regression line of two-dimensional data, and is not prepared to make quantitative judgments. |
Assigned Department Objectives
Diploma policy 3
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Teaching Method
Outline:
Using mathematics taught in first and second-year courses, lectures will be conducted with the aim of learning the fundamentals of probability and statistics required in natural science and engineering. Practice problem exercises will be implemented when necessary to develop probability and statistical ideas and calculating techniques.
Style:
The course will be advanced based on the premise that the students have prepared in advance, so all students are required to spend a significant amount of time preparing for the class. The content to prepare will be based on the following course plan, and students should observe and properly determine the situation of the progress of the lessons on their own. Students had better answer all of the questions from the course materials in the notebook in advance.
Notice:
•When preparing for class, if you are lacking the necessary knowledge, read the course materials and reference books or do some research at the library and try your best to solve the problems on your own. If you still do not understand the content, you are encouraged to get tips from other students or the professor in charge. Having an attitude of leaving it up to others or an attitude that can lead you to stop thinking on your own will hinder your academic development.
•The course plan may change depending on the students' degree of understanding.
・Students can earn a credit of this class with 60 points or more.
・If students cannot get 60 points, they can take a credit confirmation test by their request．Students who are recognized as having taken a credit according to the test will get 60 points as the score of this class.
Characteristics of Class / Division in Learning
Course Plan
|
|
|
Theme |
Goals |
| 1st Semester |
| 1st Quarter |
| 1st |
Probability |
(General review)
Chapter 1 §1 Definition and nature of probability
1.1 Definition of probability
1.2 Basic nature of probability
|
| 2nd |
Probability |
(Review of "Basic mathematics C")
Chapter 1 §1 Definition and nature of probability
1.1 Definition of probability
1.2 Basic nature of probability
|
| 3rd |
Probability |
Chapter 1 §1 Definition and nature of probability
1.2 Basic nature of probability
1.3 Expected value
|
| 4th |
Probability |
Chapter 1 §1 Definition and nature of probability
1.3 Expected value
Chapter 1 § 2 Various probabilities
2.1 Conditional probability and the multiplication theorem
|
| 5th |
Probability |
Chapter 1 § 2 Various probabilities
2.1 Conditional probability and the multiplication theorem
2.2 Mutually independent events
2.3 Repeated trials
|
| 6th |
Probability |
Chapter 1 § 2 Various probabilities
2.3 Repeated trials
2.4 Bayes' theorem
|
| 7th |
Probability/Exercises |
Chapter 1 § 2 Various probabilities
2.4 Bayes' theorem
2.5 Various probability problems (Exercises)
|
| 8th |
Mid-term exam |
(Chapter 1)
|
| 2nd Quarter |
| 9th |
Return of mid-term exam/Explanation of answers/Review
Data classification |
(Chapter 1)
Chapter 2 §１ One-dimensional data
1.1 Frequency distribution
|
| 10th |
Data classification |
Chapter 2 §１ One-dimensional data
1.1 Frequency distribution
1.2 Representative value
|
| 11th |
Data classification |
Chapter 2 §１ One-dimensional data
1.2 Representative value
1.3 Dispersion
|
| 12th |
Data classification |
Chapter 2 §１ One-dimensional data
1.3 Dispersion
1.4 Dispersion and box-and-whisker diagrams
|
| 13th |
Data classification |
Chapter 2 §１ One-dimensional data
1.4 Dispersion and box-and-whisker diagrams
Chapter 2 § 2 Two-dimensional data
2.1 Correlation
|
| 14th |
Data classification/Exercises |
Chapter 2 § 2 Two-dimensional data
2.1 Correlation
2.2 Regression line
(Exercises)
|
| 15th |
Final exam |
(Chapter 2)
|
| 16th |
Return of final exam/Explanation of answers/Review |
(Chapter 2)
|
Evaluation Method and Weight (%)
| Examination | Presentation | Mutual Evaluations between students | Behavior | Portfolio | Other | Total |
| Subtotal | 80 | 0 | 0 | 0 | 0 | 20 | 100 |
| Basic Ability | 80 | 0 | 0 | 0 | 0 | 20 | 100 |
| Technical Ability | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Interdisciplinary Ability | 0 | 0 | 0 | 0 | 0 | 0 | 0 |