Course Syllabus

Course Information：

Year-Semester Course Number Course Name Phase Credits Hours Required/Elective Instructor Class Student NO. Withdraw Note

Spring Semester
Year 2026 355616 Calculus 2 3.0 3 ▲ Lin Chien-Chou 4EN1B 54 0 　

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2026	355616	Calculus	2	3.0	3	▲	Lin Chien-Chou	4EN1B	54	0

Course Plan：

Instructor Lin Chien-Chou

Email linjj@mail.ntut.edu.tw

Last Updated 2025-12-02 09:27:23

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.極限與連續，2.導數及其應用，3.不定積分與定積分，4.超越函數及其反函數，5.積分法則，6.不定型與瑕積分，7.定積分的應用，8.空間幾何與向量微積分，9.偏導數，10.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 includes: 1.Limits and Continuity, 2.Derivative and Application, 3.Indefinite and Definite Integral, 4.Transcendental Functions and their Inverses, 5.Techniques of Integration, 6.Indeterminate Forms and Improper Integral, 7.Application of Integration, 8.Basic Vector Analysis, 9.Partial Derivative, 10.Multiple Integration.

Course Schedule 第 1~3 週 : Integration, Applications of integration 第 4~7 週 : Parametric equations, Polar Coordinates 第 8~10 週 : Series,Vectors and the Geometry Space 第 9週 : 期中考第 11~14 週 : Partial Derivatives 第 15~17 週 : Multiple Integrals 第 18 週 : 期末考

Evaluation and grading policy 1.小考兩次：20% 2.出席成績：10% 3.AI演算作業：5% 4.助教： 10% 5.期中考： 25% 6.期末考： 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:Essential Calculus Early Transcendentals (2nd edition) 作者:Ron Larson & Bruce H. Edwards (2)書名:Calculus 作者:林晶璟、劉國安

The access to curricular consultation 提供上課line群組及課後Office Hours於共同科館604研討室現場諮商管道

Expanding teaching and resources

The course corresponds to the SDGs SDG4：優質教育（Quality Education）
SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure）
SDG13：氣候行動（Climate Action）
SDG16：和平正義與有力的制度（Peace, Justice and Strong Institutions）

Does the course incorporate AI ● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools）

Note
　

Instructor	Lin Chien-Chou
Email	linjj@mail.ntut.edu.tw
Last Updated	2025-12-02 09:27:23
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.極限與連續，2.導數及其應用，3.不定積分與定積分，4.超越函數及其反函數，5.積分法則，6.不定型與瑕積分，7.定積分的應用，8.空間幾何與向量微積分，9.偏導數，10.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 includes: 1.Limits and Continuity, 2.Derivative and Application, 3.Indefinite and Definite Integral, 4.Transcendental Functions and their Inverses, 5.Techniques of Integration, 6.Indeterminate Forms and Improper Integral, 7.Application of Integration, 8.Basic Vector Analysis, 9.Partial Derivative, 10.Multiple Integration.
Course Schedule	第 1~3 週 : Integration, Applications of integration 第 4~7 週 : Parametric equations, Polar Coordinates 第 8~10 週 : Series,Vectors and the Geometry Space 第 9週 : 期中考第 11~14 週 : Partial Derivatives 第 15~17 週 : Multiple Integrals 第 18 週 : 期末考
Evaluation and grading policy	1.小考兩次：20% 2.出席成績：10% 3.AI演算作業：5% 4.助教： 10% 5.期中考： 25% 6.期末考： 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:Essential Calculus Early Transcendentals (2nd edition) 作者:Ron Larson & Bruce H. Edwards (2)書名:Calculus 作者:林晶璟、劉國安
The access to curricular consultation	提供上課line群組及課後Office Hours於共同科館604研討室現場諮商管道
Expanding teaching and resources
The course corresponds to the SDGs	SDG4：優質教育（Quality Education） SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure） SDG13：氣候行動（Climate Action） SDG16：和平正義與有力的制度（Peace, Justice and Strong Institutions）
Does the course incorporate AI	● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools）
Note