IGESSIGESS (Institute for Global Economics and Social Sciences)
MAT100CB（数学 / Mathematics 100）Elementary Mathematics AElementary Mathematics A
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 | 2022 |
| 授業コードClass code | A9616 |
| 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 | 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 | 各学部・研究科等の時間割等で確認 |
| 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 provides a very broad overview of mathematics that will be useful for any economist or social scientist. Classes will be discussion based, with the opportunity for all students to become involved and express their opinion on mathematical topics. Technical skills will also be taught, and regular assignments will provide an opportunity to practice and gain a solid understanding of subtle issues.
到達目標Goal
Empowerment and understanding are key words for this course. You will learn to see how mathematics relates to economics, 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. ）
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 assignments, which must be completed in writing and submitted by the end of class. Assignments are to be submitted via Learning Management System (LMS), and will be graded and returned via LMS. Individual feedback will be provided as appropriate, and general comments regarding the 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]：Linear functions I
Linear functions, simultaneous linear equation systems
2[対面/face to face]：Linear functions II
Demand curve, supply curve, market equilibrium
3[対面/face to face]：Quadratic functions I
Quadratic functions, the quadratic formula
4[対面/face to face]：Quadratic functions II
Monopoly and oligopoly, maximizing profits
5[対面/face to face]：Exponential functions and logarithmic functions I
Definitions of exponential functions and logarithmic functions, basic properties
6[対面/face to face]：Exponential functions and logarithmic functions II
Compound interest, interest rate
7[対面/face to face]：Sequences and series I
Arithmetic sequences and geometric sequences
8[対面/face to face]：Sequences and series II
Limits of sequences, recurrence equation
9[対面/face to face]：Differential calculus I
Differential coefficient, derived functions
10[対面/face to face]：Differential calculus II
Rules for differentiation, profit maximization
11[対面/face to face]：Differential calculus III
Optimization problem, Taylor expansion
12[対面/face to face]：Vector spaces I
Vector spaces, inner products
13[対面/face to face]：Vector spaces II
Budget constraint, budget set, budget line
14[対面/face to face]：Vector spaces III
Summary, final examination
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 have 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 LMS.
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
Students will always have the opportunity to express their opinions and ask questions in class. Suggested changes will be discussed in class.
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, due to the class room attendance capacity, the number of students who are allowed to register for the course may be limited.