Course Syllabus

Course Information：

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

Fall Semester
Year 2025 349087 Calculus 1 3.0 3 ▲ Shiueh-Ling Yu 4ET1 80 1 　

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2025	349087	Calculus	1	3.0	3	▲	Shiueh-Ling Yu	4ET1	80	1

Course Plan：

Instructor Shiueh-Ling Yu

Email yuling942005@gmail.com

Last Updated 2025-08-26 11:02:17

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:函數極限的直觀定義與極限的基本性質第二週:如何求函數的極限第三週:夾擠定理與連續第四週:導數的定義及其基本性質第五週:隱函數微分法與反函數的導函數第六週:三角函數,指數函數與對數函數的導函數第七週:反三角函數的導函數與對數微分法第八週:相關變化率第九週:期中考第十週:函數之極值,單調性,凹性與反曲點第十一週:函數圖形的描繪與極值應用問題第十二週:羅必達法則第十三週:定積分的定義第十四週:微積分基本定理第十五週:不定積分及其基本性質第十六週:變數代換法第十七週:分部積分法第十八週:期末考

Evaluation and grading policy 數學會考10%,出席5%,作業(含小考)30%,期中考25%,期末考30%.

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
1.用書如下: 作者:James Stewart, Daniel Clegg, Saleem Watson 書名:Essential Calculus : Early Transcendentals, Metric Version 2e(Custom Solutions) 書局:滄海書局 2.講義詳北科i學園 3.參考書:微積分吳舜堂洪春凰等著(滄海書局書號:MA0395)

The access to curricular consultation Email: slingyu@mail.ntut.edu.tw 或課堂中提出

Expanding teaching and resources

The course corresponds to the SDGs SDG4：優質教育（Quality Education）

Does the course incorporate AI ● 無（None）

Note
學校設置之Microsoft Teams 連結

Instructor	Shiueh-Ling Yu
Email	yuling942005@gmail.com
Last Updated	2025-08-26 11:02:17
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:函數極限的直觀定義與極限的基本性質第二週:如何求函數的極限第三週:夾擠定理與連續第四週:導數的定義及其基本性質第五週:隱函數微分法與反函數的導函數第六週:三角函數,指數函數與對數函數的導函數第七週:反三角函數的導函數與對數微分法第八週:相關變化率第九週:期中考第十週:函數之極值,單調性,凹性與反曲點第十一週:函數圖形的描繪與極值應用問題第十二週:羅必達法則第十三週:定積分的定義第十四週:微積分基本定理第十五週:不定積分及其基本性質第十六週:變數代換法第十七週:分部積分法第十八週:期末考
Evaluation and grading policy	數學會考10%,出席5%,作業(含小考)30%,期中考25%,期末考30%.
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes 1.用書如下: 作者:James Stewart, Daniel Clegg, Saleem Watson 書名:Essential Calculus : Early Transcendentals, Metric Version 2e(Custom Solutions) 書局:滄海書局 2.講義詳北科i學園 3.參考書:微積分吳舜堂洪春凰等著(滄海書局書號:MA0395)
The access to curricular consultation	Email: slingyu@mail.ntut.edu.tw 或課堂中提出
Expanding teaching and resources
The course corresponds to the SDGs	SDG4：優質教育（Quality Education）
Does the course incorporate AI	● 無（None）
Note	學校設置之Microsoft Teams 連結