Course Syllabus

Course Information：

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

Spring Semester
Year 2025 341554 Calculus 2 3.0 4 ▲ Jen-Chieh Lo 4CE1A 55 3 　

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2025	341554	Calculus	2	3.0	4	▲	Jen-Chieh Lo	4CE1A	55	3

Course Plan：

Instructor Jen-Chieh Lo　Office Hours

Email m8813026@yahoo.com.tw

Last Updated 2024-12-16 15:35:07

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 第一週: Techniques of integration 第二週: Techniques of Integration 第三週:Techniques of Integration 第四週: Applications of Integration 第五週: Parametric Equations 第六週: Power Series (Convergence and Test) 第七週: Power Series (Convergence and Test) 第八週: Power Series (Convergence and Test) 第九週: 期中考、Power Series (Taylor series) 第十週: Vectors and the Geometric Space 第十一週: Partial Derivatives (limits and continuity) 第十二週: Partial Derivatives (Chain Rule and directional derivative) 第十三週: Partial Derivatives (Extreme values and Lagrange multipliers) 第十四週: Multiple Integrals 第十五週: Triple Integrals 第十六週: Vector Functions 第十七週: Vector Calculus 第十八週: 期末考

Evaluation and grading policy 1. 平時成績45%，含(助教15%、小考20%、隨堂考10%) 2. 期中考20% 3. 期末考 20% 4.複習考15%(開學第一週測驗上學期範圍)

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、吳舜堂、洪春凰、林建州、林建仲。

The access to curricular consultation 參照office hour

Expanding teaching and resources

The course corresponds to the SDGs 無（None）

Does the course incorporate AI

Note
　

Instructor	Jen-Chieh Lo　Office Hours
Email	m8813026@yahoo.com.tw
Last Updated	2024-12-16 15:35:07
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	第一週: Techniques of integration 第二週: Techniques of Integration 第三週:Techniques of Integration 第四週: Applications of Integration 第五週: Parametric Equations 第六週: Power Series (Convergence and Test) 第七週: Power Series (Convergence and Test) 第八週: Power Series (Convergence and Test) 第九週: 期中考、Power Series (Taylor series) 第十週: Vectors and the Geometric Space 第十一週: Partial Derivatives (limits and continuity) 第十二週: Partial Derivatives (Chain Rule and directional derivative) 第十三週: Partial Derivatives (Extreme values and Lagrange multipliers) 第十四週: Multiple Integrals 第十五週: Triple Integrals 第十六週: Vector Functions 第十七週: Vector Calculus 第十八週: 期末考
Evaluation and grading policy	1. 平時成績45%，含(助教15%、小考20%、隨堂考10%) 2. 期中考20% 3. 期末考 20% 4.複習考15%(開學第一週測驗上學期範圍)
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、吳舜堂、洪春凰、林建州、林建仲。
The access to curricular consultation	參照office hour
Expanding teaching and resources
The course corresponds to the SDGs	無（None）
Does the course incorporate AI
Note