課程資料
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2021 微積分
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開課學期：1151
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開課班級：
化材系 1B
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授課教師：莊硯勛
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必修
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學年課
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學分數：3.0
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大恩 0511 星期二 15:10-18:00
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2021 CALCULUS
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2026 Fall
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Department of Chemical and Materials Engineering 1B
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Professor：CHUANG, YEN-HSUN
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Required
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Full Year
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Credits:
3.0
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Da En 0511 Tuesday 15:10-18:00
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發展願景
傳揚中華文化，促進跨領域創新，與時精進，邁向國際
It is our objective to promote Chinese culture, enhance cross-disciplinary innovation, seek constant advancement, and embrace global community.
辦學宗旨
秉承質樸堅毅校訓，承東西之道統，集中外之精華，研究高深學術, 培養專業人才，服務社會，致力中華文化之發揚, 促進國家發展.
Based on our motto—“Temperament, Simplicity, Strength, and Tenacity,” “inheriting the merits of the East and the West” and “absorbing the essence of Chinese and foreign cultures,” we make it our mission to pursue advanced research, develop professional talents, serve the society, promote Chinese culture and support national development.
校教育目標
校基本素養
校核心能力
院教育目標
奠定自然科學與工程基礎，培養持續學習與創新能力。
Establishing a strong foundation in science and engineering, fostering continuous learning and innovation.
強化理論與實務並重，發展多元且跨領域的專業課程。
Providing theoretical and practical training through diverse, interdisciplinary curricula.
推動產學合作與國際交流，提升學生之全球競爭力。
Enhancing global competitiveness through collaboration with academia, industry and international partners.
培育具備系統整合、科技創新與社會責任的專業人才。
Cultivating professionals equipped with system integration, technological innovation, and social responsibility.
院核心能力
自然科學理論與工程知識之整合應用。Integrated application of scientific theories and engineering knowledge.
問題分析、實驗設計與實作驗證之能力。Ability to analyze problems, design experiments, and validate solutions through practical implementation.
邏輯性思考與科技運用之能力。Logical thinking and effective use of technology.
跨領域整合與創新研發。Cross-disciplinary integration and innovative research and development.
國際視野、團隊合作與溝通協調之能力。Global perspectives, teamwork, and effective communication skills.
具備職業倫理與社會責任之專業態度。Professional attitude with a commitment to ethics and social responsibility.
系教育目標
培養學生具備化學工程與材料工程基礎學理及相關知識/Equip students with fundamental knowledge in chemical and materials engineering.
訓練學生實作、分析及表達成果之能力/Train students in practical skills, analytical thinking, and the ability to present their results effectively.
培育學生認知工程倫理和團隊精神/Foster students’ awareness of engineering ethics and the spirit of teamwork.
系核心能力
具有應用數學、科學及化學工程與材料工程知識之能力/Ability to apply knowledge of mathematics, science, chemical engineering, and materials engineering
具有資料搜集與實驗記錄，並予以陳述、分析及解釋之能力/Ability to collect data and record experiments, and to present, analyze, and interpret results
具有將化學工程與材料工程問題模式化及運用系統方法加以設計及整合之能力/ Ability to model and solve chemical and materials engineering problems using systematic methods.
具有表達成果及持續學習之能力/Ability to present outcomes and engage in lifelong learning
具有工程倫理責任感與溝通協調之能力/Sense of engineering ethics and ability to communicate and coordinate effectively
具有團隊合作精神及宏觀視野之能力/Team spirit and a broad, global perspective
課程目標
讓學生熟知微積分的起源，微分、積分的概念和演算及其在科學、工程、幾何等各方面的應用，建立以後在專業課程的學習和更深入的應用數學的紮實基礎。
Course Objective:
This course is designed to provide students with a solid understanding of the origins of calculus, the concepts and operations of differentiation and integration, and their applications in science, engineering, geometry, and other fields. It aims to build a strong foundation for future studies in professional courses and the advanced application of mathematics.
課程能力
具有應用數學、科學及化學工程與材料工程知識之能力/Ability to apply knowledge of mathematics, science, chemical engineering, and materials engineering (比重 35%)
具有資料搜集與實驗記錄，並予以陳述、分析及解釋之能力/Ability to collect data and record experiments, and to present, analyze, and interpret results (比重 35%)
具有將化學工程與材料工程問題模式化及運用系統方法加以設計及整合之能力/ Ability to model and solve chemical and materials engineering problems using systematic methods. (比重 15%)
具有表達成果及持續學習之能力/Ability to present outcomes and engage in lifelong learning (比重 5%)
具有工程倫理責任感與溝通協調之能力/Sense of engineering ethics and ability to communicate and coordinate effectively (比重 5%)
具有團隊合作精神及宏觀視野之能力/Team spirit and a broad, global perspective (比重 5%)
課程概述
微積分是大學工學院數學中最重要的基礎課程，本課程先複習高中曾學習過的預備數學知識， 包含基本函數與其反函數，接著依序介紹單變數函數的極限，連續，微分與積分之基本定義，相關的重要運算，主要結論與其應用，特別注重微分與積分運算的熟練度。
Calculus is the most important mathematics in the science and tecnology. We will first review the requisite mathematical knowledge in the senior high school, including basic functions and their inverse functions. This course will introduce the basic definitions, results, operation rules of limit, continuity, differentiation, integration of single-valued variable functions.
授課內容
微積分是所有工程與科學學科的基石。本課程旨在建立學生堅實的數學基礎，教導極限、微分與積分的核心概念及其未來工程應用。
授課方式
實體授課、作業、生成式AI應用
評量方式
上課用書
（師生應遵守智慧財產權及不得非法影印）
Calculus: Early Transcendentals
Thomas' Calculus
參考書目
（師生應遵守智慧財產權及不得非法影印）
Calculus: Early Transcendentals
Thomas' Calculus
課程需求
要報告
書面報告
要考試期中期末考:採實體閉書考試
輔導時間
- 星期二 11:00-15:00
- 星期三 11:00-12:00
- 星期四 13:00-14:00
教師聯絡資訊
Email：zyx27@ulive.pccu.edu.tw
分機：
課程進度
| 2026/10/20 | 連鎖律 (Chain Rule) |
| 2026/11/17 | 微分應用二：圖形分析與 L'Hôpital |