GBPGBP (Global Business Program)
MAT100LA（数学 / Mathematics 100）Elementary Mathematics BElementary Mathematics B
小木曽 岳義Takeyoshi KOGISO
授業コードなどClass code etc
| 学部・研究科Faculty/Graduate school | GBPGBP (Global Business Program) |
| 添付ファイル名Attached documents | |
| 年度Year | 2023 |
| 授業コードClass code | P3603 |
| 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5/Thu.5 |
| 科目種別Class Type | |
| キャンパスCampus | 市ヶ谷 |
| 教室名称Classroom name | 市Y‐Y803 |
| 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 |
基礎科目／Liberal Arts Courses 自然科学分野／Natural Sciences 基盤科目／Lower Division Foundation Courses |
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授業の概要と目的（何を学ぶか）Outline and objectives
This course is a calculus course intended for those studying business, economics, or other related business majors, and a continuation of topics from ‘‘Elementary Mathematics II”. The following topics are presented with applications: derivatives, differentiation rules, derivative of an exponential function and logarithmic function, higher-order derivative, Taylor and Maclaurin series, integrals.
到達目標Goal
Students will become proficient in techniques of differentiation, understand the concept of rate of change and how to use it to solve real world problems.
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. ）
The expected learning outcomes for the course will be assessed through graded activities and ungraded activities. The graded activities include exams, homework and quizzes. It is strongly recommended that students work all those problems since homework and test score are used to determine your grade. The ungraded activities will be used to monitor your progress.
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。
01.[オンライン/online]：Introduction
Preliminaries
02.[対面/face to face]：The Derivative and the Slope of a Graph
Differentiation: Basic Concepts 1
03.[対面/face to face]：Some Rules for Differentiation
Differentiation: Basic Concepts 2
04.[対面/face to face]：The Product and Quotient Rules
Differentiation: Basic Concepts 3
05.[対面/face to face]：The Chain Rule
Differentiation: Basic Concepts 4
06.[対面/face to face]：Derivatives of Exponential Functions
Differentiation: Basic Concepts 5
07.[対面/face to face]：Derivatives of Logarithmic Functions
Differentiation: Basic Concepts 6
08.[対面/face to face]：Higher-order Derivatives
Differentiation: Basic Concepts 7
09.[対面/face to face]：Extrema and the First-Derivative Test
Additional Appilcations of the Derivative 1
10.[対面/face to face]：Concavity and the Second-Derivative Tes
Additional Appilcations of the Derivative 2
11.[対面/face to face]：The Mean Value Theorem, Taylor’s Theorem
Additional Appilcations of the Derivative 3
12.[対面/face to face]：Taylor and Maclaurin Series
Additional Appilcations of the Derivative 4
13.[対面/face to face]：Approximate Values
Additional Appilcations of the Derivative 5)
14.[対面/face to face]：Antiderivatives, Differential Equation
Additional Topics 1
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.)
Solve the problems of the exercises well. Think by writng on a paper.本授業の準備学習・復習時間は、各2時間を標準とします。University guidelines suggest preparation and review are around 4 hours a week for a two-credit course and around an hour a week for a one-credit course.
テキスト（教科書）Textbooks
You don't need to buy a textbook. When you learn more, respectively serve as a reference if it is rudimentary or a book on the theme of preparation for its calculus.
参考書References
You don't need to prepare references.
成績評価の方法と基準Grading criteria
Final exam (approximately 2/3) and the homework submission (approximately 1/3)
学生の意見等からの気づきChanges following student comments
Not offered until the last fiscal year for the new subjects