Course Syllabus

Course Information：

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2021	291806	Calculus	1	3.0	4	▲	Tsai,Ming-Cheng	5IAE2	34	0	◎

Course Plan：

Instructor	Tsai,Ming-Cheng
Email	mctsai2@gmail.com
Last Updated	2021-09-18 16:20:26
Course Objective	本課程希望在一學年中，能使學生對微分及積分有充分的瞭解、培養邏輯推理、啟發思考創造、強化計算演繹並注重應用與作圖，以建立同學未來學習工程數學及相關專業課程之數學基礎，充分達到學以致用的目的。課程內容包括：1.函數與極限，2.導數，3.反函數及超越函數，4.導數的應用，5.不定積分與定積分，6.積分法則，7.定積分的應用，8.級數，9.參數式和極座標，10.空間幾何，11.偏導數，12.重積分。 This course aims at developing comprehension of derivation and integral、activating capabilities of logic inference and induction、enlightening confidence and independence、strengthening calculating abilities with an emphasis on its application and diagram、furnishing a sound basis for future specialty. The content of Calculus(I) includes: 1.Functions and Limits, 2.Derivatives, 3.Inverse Functions and Transcendental Functions, 4.Applications of Differentiation, 5.Integrals, 6.Techniques of integration 7.Applications of integration 8. Series 9.Parametric equations and polar coordinates 10.Vectors and the geometry of space 11.Partial derivatives 12.Multiple integrals
Course Schedule	第 1~ 3 週 : Chapter 1 : Functions and Limits 第 4~ 6 週 : Chapter 2 : Derivatives 第 7~ 9 週 : Chapter 3 : Inverse Functions 第 10~ 12週 : Chapter 4 : Applications of Differentiation 第 13~14週 : Chapter 5 : Integrals 第 15~17週 : Chapter 6 : Techniques of Integration 第 18 週 : 期末考
Evaluation and grading policy	點名 ： 10% 隨堂考 ： 10% 作業 : 5% 期中考 ：25% 2次小考 ：20% 期末考 ： 30% ps: 因應學期若持續遠距授課，則隨堂考10%適度調整至期中考30%,2次小考25% In-class participation: 10% Quizzes: 10% Homework: 5% Tests (not including Midterm and final exams): 20% (twice) Midterm exam : 25% Final exam : 30%
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes 1.教科書書名 : Essential Calculus Early Transcendentals (2nd edition) 作者 : James Stewart 2.其它參考的書籍: (1)書名:Thomas' Calculus Early Transcendentals (12th edition) 作者:George B. Thomas , Maurice D. Weir , Joel Hass (2)書名:Calculus 作者:吳舜堂、洪春凰、林建洲、林建仲、林晶璟、劉國安 (3)書名:微積分 作者:黃毅青
The access to curricular consultation	共同科館610室 分機:3060 email: mctsai2@mail.ntut.edu.tw 亦可於Line私下或群組詢問
The course corresponds to the SDGs
Note	In response to the ongoing outbreaks of Covid-19, for the 2021 fall semester, the general regulations will be as follows (Adjustments may be made based on the epidemic situation, https://oaa.ntut.edu.tw/p/404-1008-98622.php?Lang=zh-tw): ※COVID-19 Alert Level 1 (or below): All courses will be in-person. ※COVID-19 Alert Level 3 (or above): All courses will be offered remotely. ※COVID-19 Alert Level 2: Please note the following specifications for course delivery. ●Course Option:All Remote ●Examinations & Assessments: 點名 ： 10% 隨堂考 ： 10% 作業 : 5% 期中考 ：25% 2次小考 ：20% 期末考 ： 30% ps: 因應學期若持續遠距授課，則隨堂考10%適度調整至期中考30%,2次小考25% 2次小考、期中考、期末考採實體考試，如無法實體考試採線上測驗 ●Supplementary information: 修課同學須先加入Meet及Line群組 上課情形以學校最新規定為主 依學校規定，開學前三週為遠距上課