Course Syllabus

Course Information：

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2026	362748	Calculus	1	3.0	3	▲	Tsai,Ming-Cheng	ISMPE1	0	0

Course Plan：

Instructor	Tsai,Ming-Cheng
Email	mctsai2@gmail.com
Last Updated	2026-06-04 13:59:33
Course Objective	CALCULUS (I): 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 Models, 2.Limits and Derivatives, 3.Differentiation Rules, 4.Applications of Differentiation, 5.Integrals, 6.Applications of integration, 7.Techniques of integration 8. Futher Applications of Integration, 9.Parametric equations and polar coordinates 10. Sequences, Series, and Power series, 11.Vectors and the geometry of space 12.Partial derivatives 13.Multiple integrals
Course Schedule	Week 1~ 2 : Chapter 1 : Functions and Models Week 3~ 5 : Chapter 2 : Limits and Derivatives Week 6~ 9 : Chapter 3 : Differentiation Rules Week 10~ 12 : Chapter 4 : Applications of Differentiation Week13~15 : Chapter 5 : Integrals Week 16 : Final exam Week 17~18 : 彈性自主學習
Evaluation and grading policy	In-class participation: 10% Quizzes: 10% Homework: 5% 2 Tests (not including Final exam): 40% (twice) Final exam : 35%
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes 1.Textbook: Essential Calculus Metric Version Early Transcendentals (2e) Author: James Stewart, Daniel Clegg, Saleem Watson 2.Reference book: 書名:Calculus 作者:吳舜堂、洪春凰、林建洲、林建仲、林晶璟、劉國安 書名:Thomas' Calculus Early Transcendentals (12th edition) Author: George B. Thomas , Maurice D. Weir , Joel Hass
The access to curricular consultation	1. Office hour 2. Make an appointment 3. email 4. line 5. After class or before class (10 minutes)
Expanding teaching and resources	● 無 (None)
The course corresponds to the SDGs	無（None）
Does the course incorporate AI	● 無（None）
Note	彈性自主學習 第17~18週 請同學利用AI與相關程式，應用微積分所學各種函數，設計一個幾何動態圖形或動畫(至少20秒以上不同視覺變化)，於18週結束前將作品連結網址上傳給老師。