English

年度	2026年度	開講部局	教養教育
講義コード	52004101	科目区分	領域科目
授業科目名	The world of mathematics
授業科目名 （フリガナ）
英文授業科目名	The world of mathematics
担当教員名	LOU YANG
担当教員名 (フリガナ)	ロウ　ヤン
開講キャンパス	東広島	開設期	1年次生   後期   ３ターム
曜日・時限・講義室	(3T) 水5-8：総K205
授業の方法	講義	授業の方法 【詳細情報】	対面, オンライン（オンデマンド型）
			This course is primarily delivered through in-person lectures, with online (on-demand) sessions offered only under special circumstances such as severe weather, the instructor’s business trip, or other unavoidable situations. The first class will be held in person.
単位	2.0	週時間	4	使用言語	E : 英語
学習の段階	1 : 入門レベル
学問分野（分野）	25 : 理工学
学問分野（分科）	01 : 数学・統計学
対象学生
授業のキーワード
教職専門科目		教科専門科目
教養教育での この授業の位置づけ	Area Courses (Courses in Natural Sciences)　Category: Mathematics / Informatics *Students who were admitted in 2018 or after can take this course as an “Area Course”. For this group of students, credits from this course will be regarded as credits for an “Area Course”. If students who were admitted in 2017 or before take this course, it is regarded as a “Package-Based Subject”. The latter group of students cannot take this course as an “Area Course”.
学習の成果	1. To be able to explain the formation and development processes and contemporary issues of each academic discipline. 2. To be able to explain historical and contemporary issues that span multiple academic disciplines from multifaceted perspectives.
授業の目標・概要等	1. Understand fundamental mathematical concepts by building a solid foundation in calculus, probability, and mathematical reasoning. 2. Apply mathematical principles to solve real world problems using functions, derivatives, optimization methods, and probability techniques. 3. Explore the historical and practical significance of mathematics by examining the development of mathematical ideas and the applications of mathematics across various research fields and everyday situations.
授業計画	第1回 Foundations of Calculus: Variables, Functions, and Limits 第2回 Evolution of Mathematical Reasoning 第3回 Foundations of Measurement and Mathematical Thought 第4回 Uncovering Change: Slopes, Derivatives, and Optimization 第5回 Mastering Derivatives: Rules and Applications for Optimization 第6回 Understanding Change: Chain Rule and Antiderivatives 第7回 Unifying Calculus: Antiderivatives and Integrals 第8回 Foundations of Probability: Sets and Relations 第9回 Probability: Definitions, Independence, and Density 第10回 Counting: Sampling Techniques 第11回 Random Variables Distributions, Expectations, and Applications 第12回 Conditional Probability: Conditioning, Sequential Sampling, and Independence 第13回 Expectation, Variance, and Transforms 第14回 Important Probability Distributions: Poisson and Normal 第15回 Review the content covered throughout the course -Assignments and reports -In‑class tests
教科書・参考書等	1. Priestley, W. M. (2012). Calculus: A liberal art (2nd ed.). Springer Science & Business Media. 2. Chung, K. L., & AitSahlia, F. (2003). Elementary probability theory with stochastic processes and an introduction to mathematical finance (4th ed.). Springer Science & Business Media.
授業で使用する メディア・機器等	配付資料, Microsoft Teams, moodle
	【詳細情報】	Projector and PC
授業で取り入れる 学習手法	小テスト／ クイズ形式, 授業後レポート
予習・復習への アドバイス	1. Each lesson’s materials (e.g., slides provided by the instructor) should be reviewed both before and after class. 2. The meaning of all English technical terms should be understood before class.
履修上の注意 受講条件等	None.
成績評価の基準等	The grade will be based on the following two components: 1. continuous assessment of assignments and reports, and 2. in‑class tests.
実務経験
実務経験の概要と それに基づく授業内容
メッセージ	The lecture content may be adjusted slightly depending on the circumstances.
その他
すべての授業科目において，授業改善アンケートを実施していますので，回答に協力してください。 回答に対しては教員からコメントを入力しており，今後の改善につなげていきます。