理工学部Faculty of Science and Engineering
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 | 理工学部Faculty of Science and Engineering |
| 添付ファイル名Attached documents | |
| 年度Year | 2022 |
| 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 | 各学部・研究科等の時間割等で確認 |
| 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 Courses | |
| 他学部公開（履修条件等）Open Courses (Notes) | |
| グローバル・オープン科目Global Open Courses | ○ |
| 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＜理工学部＞Category |
経営システム工学科 学科専門科目 |
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Outline (in English)
Learning a basic part of probability theory and some applications in English.
授業で使用する言語Default language used in class
英語 / English
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.
この授業を履修することで学部等のディプロマポリシーに示されたどの能力を習得することができるか（該当授業科目と学位授与方針に明示された学習成果との関連）Which item of the diploma policy will be obtained by taking this class?
ディプロマポリシーのうち、「DP1」と「DP2」と「DP4」に関連
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
授業形態/methods of teaching：対面/face to face
※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[対面/face to face]：Introduction
An introduction to learn mathematics in English.
2[対面/face to face]：Probability 1
Sample space, event, probability and independence.
3[対面/face to face]：Probability 2
Random variable and distribution.
4[対面/face to face]：Probability 3
Expectation and variance.
5[対面/face to face]：Probability 4
Discrete distribution, binomial distribution, and Poisson distribution.
6[対面/face to face]：Probability 5
Continuous distribution, uniformly distribution, exponential distribution and normal distribution.
7[対面/face to face]：Probability 6
Joint distribution, covariance and correlation.
8[対面/face to face]：Probability 7
Conditional probability, Bayesian inference and conditional expectation.
9[対面/face to face]：Probability 8
Review of probability parts.
10[対面/face to face]：Application 1
Random walk.
11[対面/face to face]：Application 2
Markov chain.
12[対面/face to face]：Application 3
Poisson process and compound Poisson process.
13[対面/face to face]：Application 4
Brownian motion.
14[対面/face to face]：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
In-class contribution (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.