IGESSIGESS (Institute for Global Economics and Social Sciences)
MAT100CB（数学 / Mathematics 100）Elementary Mathematics BElementary Mathematics B
板井 昌典Masanori ITAI
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 | 2023 |
| 授業コードClass code | A9617 |
| 旧授業コードPrevious Class code | |
| 旧科目名Previous Class title | |
| 開講時期Term | 春学期授業/Spring |
| 曜日・時限Day/Period | 木3/Thu.3 |
| 科目種別Class Type | |
| キャンパスCampus | 市ヶ谷 / Ichigaya |
| 教室名称Classroom name | 市BT‐0608 |
| 配当年次Grade | 1～4 |
| 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 Natural Sciences／自然分野 |
| 科目主催学部Faculty Sponsored Department | IGESS |
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授業の概要と目的（何を学ぶか）Outline and objectives
This course continues Elementary Mathematics A and provide you with more advanced mathematics such as partial differentiation, matrix algebra, probability and the integration which will be useful to understand economy theory.
到達目標Goal
You will learn how to solve basic problems in calculus of multiple variables, matrix algebra, probability, and the integration, and be able to confidently contribute to workplace discussions involving mathematics.
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?
IGESS Dipromapolicy DP2／DP9
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. ）
All classes for this course are discussion-based. Students will be encouraged to participate in discussions, ask questions, or even give an impromptu presentation if it is appropriate and helpful for everyone. There will also be regular homework assignments, which must be completed in writing and submitted by a given deadline. Homework assignments are to be submitted in class, and will be returned at the beginning of the following class. Individual written feedback will be provided as appropriate, and general comments regarding the homework submissions will be made in class.
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.)
あり / Yes
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]：The differential calculus, part 2
Review of differential calculus of one variable.
2[対面/face to face]：Partial derivative, total derivative, tangent plane
Notation and basic rules of partial differentiation.
3[対面/face to face]：Utility maximization
Definition and computation of utility
4[対面/face to face]：Method of Lagrange multipliers
Finding maximum and minimum by the method of Lagrange multipliers
5[対面/face to face]：Matrix algebra, multiplication, inverse, determinants
Addition, multiplication of matrices, definition of inverse matrix.
6[対面/face to face]：Least squares method
Curve fitting by least squares method
7[対面/face to face]：Regression analysis
Definition and basic examples
8[対面/face to face]：Probability and risk management
Definition, notation and basic example of risk management
9[対面/face to face]：Conditional probability, Bayes' theorem
Definition, basic examples of application of Bayes' theorem
10[対面/face to face]：Expectation
Notation and basic rules of expectation
11[対面/face to face]：Integration
Definite and indefinite integration
12[対面/face to face]：Distribution functions, density functions
Definition, notation and basic examples
13[対面/face to face]：Integration and auction
Application of integration in auction
14[対面/face to face]：Summary and final examination
Summary of course and finalexamination
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.)
Students are assumed to read Lecture notes before class and
prepare for discussions in class.
The standard preparation and review time for this class is 2 hours each.
テキスト（教科書）Textbooks
Lecture notes will be provided before class via SSS.
参考書References
(1) A. C. Chiang, Fundamental Methods of Mathematical Economics 3rd ed.,
McGraw-Hill, Inc.1984
(2) M. Rosser, Basic Mathematics for Economists 2nd ed., Rotledge, 2003
Purchase is not required.
成績評価の方法と基準Grading criteria
Grading will be based on eight assignments and the final examination.
Each assignment weighs 5% and the final examination weighs 60%.
学生の意見等からの気づきChanges following student comments
This course is entirely discussion-based. Students will always have the opportunity to express their opinions and ask for changes. Suggested changes will be discussed in class. If there is general agreement, changes will be made.
学生が準備すべき機器他Equipment student needs to prepare
It would be useful if you bring a notepad and some paper. Otherwise, you do not need to prepare any equipment for this class.
その他の重要事項Others
Please note that if the number of students attending the first class significantly exceeds expectations, in order for the instructor to effectively manage the class, the number of students who are allowed to register for the course may be limited.