國立中興大學教學大綱

課程名稱	(中) 微積分(一)(1220)
	(Eng.) Calculus(I)
開課單位	應數系
課程類別	必修			學分	3	授課教師	蔡亞倫
選課單位	電機系 / 學士班			授課使用語言	英文	開課學期	1151
課程簡述	Calculus for real functions
先修課程名稱

課程與核心能力關聯配比(%)			課程目標之教學方法與評量方法
課程目標	核心能力	配比(%)	教學方法	評量方法
Differentiation and Integration for real function in one variable			討論 習作 講授	出席狀況 測驗
授課內容(單元名稱與內容、習作/每週授課、考試進度-共16週加自主學習)
週次 授課內容 第1週 Limit of real functions in one variable (Chapter 1) 第2週 Limit of real functions in one variable (Chapter 3) 第3週 Continuous real functions: Polynomial functions, Rational functions, power functions, Trigonometric functions (Chapter 1) 第4週 Derivatives, Tangent lines (Chapter 2) 第5週 Linear Approximation and Differentials (Chapter 2) 第6週 Curve Sketching (Chapter 3) 第7週 Optimization problems (Chapter 3) 第8週 10/28,29 Midterm Exams 30%+4% (Covering materials from Weeks 1,2,3,4,5,6,7 on Differentiations) 第9週 Integrals (Chapter 4) 第10週 Areas and Volumes (Chapter 5) 第11週 Exponential functions, Logarithmic functions, Inverse Trigonometric functions, Hyperbolic functions (Chapter 6) 第12週 Techniques of Integration (Chapter 7) 第13週 Application of Integrations (Chapter 8) 第14週 Polar Coordinates (Preparing for Multivariable Calculus for Calculus II) (Chapter 10) 第15週 Real-valued and Vector-valued functions with domain in R^n (Preparing for Multivariable Calculus for Calculus II) (Chapter 12) 第16週 12/23,24 Final Exams 30%+4% (Covering materials from Weeks 9,10,11,12,13,14,15 on Integrations) 自主學習 內容    02.閱覽產業及學術相關多媒體資料
學習評量方式
Homework exercises or participation quiz points: 42% (At most 14% of Homework exercises) 10/28,29 Midterm Exam with bonus: 30%+(4%) 12/23,24 Final Exam with bonus: 30%+(4%) The maximal points you can obtain for Calculus (I) is 100 points. I will assign Homework exercise problems for each hour of our meeting from the Textbook on I-Learning. You don’t have to hand in your works for those problems unless you miss the class for that hour. If you miss a participation point due to your absence for a specific hour of our arranged meeting, you will need to hand in the problems from that hour and submit them (.png .pdf file) containing answers from your hand-writings on I-learning in one week to gain one point back. The maximum points for homework exercises in total is 14%. No absence for the Midterm or Final Exams are allowed. Similar problems from the homework assignments will be on the Midterm or Final Exams (not including the problems for bonus points.)
教科書＆參考書目(書名、作者、書局、代理商、說明)
Calculus, Metric version 9E; James Stewart, Daniel Clegg, Saleem Watson,
課程教材（教師個人網址請列在本校內之網址）
I-Learning 3
課程輔導時間
39

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更新日期 西元年/月/日：2026/09/06 01:07:38	列印日期 西元年/月/日：2026 / 9 / 24
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