IGESSIGESS (Institute for Global Economics and Social Sciences)
MAT100CB（数学 / Mathematics 100）Elementary Mathematics AElementary Mathematics A
ROBERT M SINCLAIRRobert Michael SINCLAIR
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 | 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 | 月3/Mon.3 |
| 科目種別Class Type | |
| キャンパスCampus | 市ヶ谷 / Ichigaya |
| 教室名称Classroom name | |
| 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 |
すべて開くShow all
すべて閉じるHide All
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 homework assignments will provide an opportunity to practise 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. ）
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
※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：Numbers I
Integers, Infinity, Rational Numbers, Percentages, Real Numbers and Irrational Numbers.
2：Numbers II
Arithmetic and Geometric Progressions. The relationship between Addition and Multiplication. Pascal's Triangle and the Binomial Theorem. Compound Interest.
3：Functions I
The Exponential Function and Logarithms. Geometric Series. Annuities.
4：Functions II
Rate of Change of a Function: Differentiation. Area under a Curve: Integration.
5：Functions III
Differential Equations. The Black-Scholes Equation.
6：Inequalities I
Maximum and Minimum of a Function. Optimization.
7：Inequalities II
Constraints in the form of Inequalities. The Simplex Method.
8：Matrices I
Systems of Linear Equations and their Matrix Form.
9：Matrices II
Linear Transformations and their Matrix Form. Matrix Multiplication.
10：Matrices III
Solution of Systems of Linear Equations in Matrix Form. Inverse of a Matrix.
11：Probability I
Kolmogorov's formulation of Probability. Frequentist and Bayesian Interpretations of Probability.
12：Probability II
Markov Chains. Game Theory.
13：Probability III
Continuous Data. Probability Density Functions.
14：Probability IV
Stochastic Differential Equations.
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.)
No preparation is required for this class.The standard preparation and review time for this class is 2 hours each.
テキスト（教科書）Textbooks
You do not need to buy a textbook for this class.
参考書References
There is no need to prepare references for this class.
成績評価の方法と基準Grading criteria
Participation in class discussions (10%) and submitted homework (90%).
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.