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IGESSIGESS (Institute for Global Economics and Social Sciences)

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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	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	2～4
単位数Credit(s)	2
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

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