IGESSIGESS (Institute for Global Economics and Social Sciences)
MAT200XF（数学 / Mathematics 200）Probability Models and ApplicationsProbability Models and Applications
安田 和弘Kazuhiro YASUDA
授業コードなどClass code etc
| 学部・研究科Faculty/Graduate school | IGESSIGESS (Institute for Global Economics and Social Sciences) |
| 添付ファイル名Attached documents | |
| 年度Year | 2021 |
| 授業コードClass code | H9705 |
| 旧授業コードPrevious Class code | |
| 旧科目名Previous Class title | |
| 開講時期Term | 秋学期授業/Fall |
| 曜日・時限Day/Period | 火5/Tue.5 |
| 科目種別Class Type | |
| キャンパスCampus | 小金井 |
| 教室名称Classroom name | |
| 配当年次Grade | |
| 単位数Credit(s) | |
| 備考（履修条件等）Notes | |
| 他学部公開科目Open Program | |
| 他学部公開（履修条件等）Open Program (Notes) | |
| グローバル・オープン科目Global Open Program | |
| 成績優秀者の他学部科目履修制度対象Interdepartmental class taking system for Academic Achievers | |
| 成績優秀者の他学部科目履修（履修条件等）Interdepartmental class taking system for Academic Achievers (Notes) | |
| 実務経験のある教員による授業科目Class taught by instructors with practical experience | |
| SDGsCPSDGs CP | |
| アーバンデザインCPUrban Design CP | |
| ダイバーシティCPDiversity CP | |
| 未来教室CPLearning for the Future CP | |
| カーボンニュートラルCPCarbon Neutral CP | |
| 千代田コンソ単位互換提供（他大学向け）Chiyoda Campus Consortium | |
| カテゴリーCategory |
General Education Courses／総合教育科目 Global Open Program／グローバルオープン科目 |
| 科目主催学部Faculty Sponsored Department | Science and Engineering |
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授業の概要と目的（何を学ぶか）Outline and objectives
Learning a basic part of probability theory and some applications in English.
到達目標Goal
The purpose of this course is to understand the basic part of probability theory and some applications.
授業で使用する言語Default language used in class
英語 / English
授業の進め方と方法Method(s)（学期の途中で変更になる場合には、別途提示します。 /If the Method(s) is changed, we will announce the details of any changes. ）
Lecture-style.
アクティブラーニング（グループディスカッション、ディベート等）の実施Active learning in class (Group discussion, Debate.etc.)
なし / No
フィールドワーク（学外での実習等）の実施Fieldwork in class
なし / No
授業計画Schedule
※各回の授業形態は予定です。教員の指示に従ってください。
1：Introduction
An introduction to learn mathematics in English.
2：Probability 1
Sample space, event, probability and independence.
3：Probability 2
Random variable and distribution.
4：Probability 3
Expectation and variance.
5：Probability 4
Discrete distribution, binomial distribution, and Poisson distribution.
6：Probability 5
Continuous distribution, uniformly distribution, exponential distribution and normal distribution.
7：Probability 6
Joint distribution, covariance and correlation.
8：Probability 7
Conditional probability, Bayesian inference and conditional expectation.
9：Probability 8
Review of probability parts.
10：Application 1
Random walk.
11：Application 2
Markov chain.
12：Application 3
Poisson process and compound Poisson process.
13：Application 4
Brownian motion.
14：Application 5
Review of application parts.
授業時間外の学習（準備学習・復習・宿題等）Work to be done outside of class (preparation, etc.)
【本授業の準備・復習等の授業時間外学習は、4時間を標準とする】（Preparatory study and review time for this class are totally 4 hours.）
As preparing learning, fundamental calculus and linear algebra should be reviewed.
During the term, learning probability theory from "English" textbooks.
テキスト（教科書）Textbooks
Nothing special.
参考書References
I will introduce references in classes as appropriate.
成績評価の方法と基準Grading criteria
Class participation (50%) and Reports (50%). Reports will be handed back with feedback.
学生の意見等からの気づきChanges following student comments
Nothing special.
その他の重要事項Others
Note that this lecture is not a lecture for studying English.