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 355758 Calculus 2 3.0 3 ▲ Shiueh-Ling Yu 4CSIE1 77 0 　

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2026	355758	Calculus	2	3.0	3	▲	Shiueh-Ling Yu	4CSIE1	77	0

Course Plan：

Instructor Shiueh-Ling Yu

Email yuling942005@gmail.com

Last Updated 2026-02-25 10:53:35

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，11.級數。 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, 11.Infinite Series.

Course Schedule 第一週:變數代換法第二週:分部積分法第三週:三角函數積分法與三角代換法第四週:部分分式法與配方法第五週:瑕積分第六週:平面區域面積與截面法求體積第七週:旋轉體體積第八週: 曲線之弧長與曲面面積第九週:期中考第十週:多維空間的極限,連續與偏導數第十一週:鏈鎖律,隱微分與方向導數第十二週:切平面與二變數函數的極值第十三週:Lagrange 乘數法求極值,二重積分之定義及性質第十四週:二重積分及其應用第十五週:二重積分的變數代換第十六週:無窮級數第十七週:級數審斂法第十八週:期末考

Evaluation and grading policy 出席10%,作業(含小考)30%,期中考30%,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 Metric Version Early Transcendentals(custom solution, 2e) 2.參考書:微積分吳舜堂洪春凰等著(滄海書局書號:MA0395)

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

Expanding teaching and resources ● 混成學習 (Blended Learning)
課程結合實體授課與線上學習（同步視訊／非同步活動）。
Combines face-to-face instruction with online learning (including synchronous video sessions or asynchronous activities).

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

Does the course incorporate AI ● 無（None）

Note
　

Instructor	Shiueh-Ling Yu
Email	yuling942005@gmail.com
Last Updated	2026-02-25 10:53:35
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，11.級數。 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, 11.Infinite Series.
Course Schedule	第一週:變數代換法第二週:分部積分法第三週:三角函數積分法與三角代換法第四週:部分分式法與配方法第五週:瑕積分第六週:平面區域面積與截面法求體積第七週:旋轉體體積第八週: 曲線之弧長與曲面面積第九週:期中考第十週:多維空間的極限,連續與偏導數第十一週:鏈鎖律,隱微分與方向導數第十二週:切平面與二變數函數的極值第十三週:Lagrange 乘數法求極值,二重積分之定義及性質第十四週:二重積分及其應用第十五週:二重積分的變數代換第十六週:無窮級數第十七週:級數審斂法第十八週:期末考
Evaluation and grading policy	出席10%,作業(含小考)30%,期中考30%,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 Metric Version Early Transcendentals(custom solution, 2e) 2.參考書:微積分吳舜堂洪春凰等著(滄海書局書號:MA0395)
The access to curricular consultation	諮詢課程:Email: slingyu@mail.ntut.edu.tw 或課堂中提出
Expanding teaching and resources	● 混成學習 (Blended Learning) 課程結合實體授課與線上學習（同步視訊／非同步活動）。 Combines face-to-face instruction with online learning (including synchronous video sessions or asynchronous activities).
The course corresponds to the SDGs	SDG4：優質教育（Quality Education）
Does the course incorporate AI	● 無（None）
Note