English

年度	2025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［旧パッケージ］
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	古　艶磊
担当教員名 (フリガナ)	コ　エンライ
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 is a lecture-based class, primarily held in person, with online (on-demand) sessions available only in special situations, such as severe weather, the instructor’s business trip, or other exceptional circumstances. The first lesson will be conducted 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	Calculus, Probability Theory
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 got 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 from an “Area Course”. If students who got 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) Be able to understand fundamental mathematical concepts by developing a solid foundation in calculus, probability, and mathematical reasoning. (2) Be able to apply mathematical principles to solve real-world problems using functions, derivatives, optimization, and probability techniques. (3) Be able to explore the historical and practical significance of mathematics by understanding its development and applications in various research fields and everyday life.
授業の目標・概要等	The World of Mathematics course covers fundamental concepts in calculus, probability, and mathematical reasoning. Students will develop problem-solving skills, explore real-world applications, and gain an understanding of the historical evolution of mathematics. The course emphasizes logical thinking, quantitative reasoning, and the role of mathematics across various disciplines and in everyday life.
授業計画	lesson1: Foundations of Calculus: Variables, Functions, and Limit lesson2: The Evolution of Mathematical Reasoning: From Pythagoras to Modern Analysis lesson3: The Foundations of Measurement and Mathematical Thought lesson4: Uncovering Change: Slopes, Derivatives, and Optimization lesson5: Mastering Derivatives: Rules and Applications for Optimization lesson6: Understanding Change: Chain Rule and Antiderivatives lesson7: Unifying Calculus: Antiderivatives and Integrals lesson8: Foundations of Probability: Sets and Relations lesson9: Probability: Probability Definitions, Independence and Density lesson10: Counting: Sampling Techniques lesson11: Random Variables: Distributions, Expectations, and Applications lesson12: Conditional Probability: Conditioning, Sequential Sampling and Independence lesson13: Expectation, Variance, and Transforms lesson14: Important Probability Distributions: Poisson and Normal lesson15: Review of the content from all lessons. -Assignments and reports -In-class tests
教科書・参考書等	Reference Books (1) Priestley, William M. Calculus: a liberal art. Springer Science & Business Media. (2) Chung, Kai Lai. Elementary probability theory with stochastic processes. Springer Science & Business Media.
授業で使用する メディア・機器等	配付資料, Microsoft Teams, Zoom, 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
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 (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 is subject to slight changes depending on the circumstances.
その他
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