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 351932 Calculus 1 3.0 3 ▲ Tsai,Ming-Cheng ISMPE1 30 1 　

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2025	351932	Calculus	1	3.0	3	▲	Tsai,Ming-Cheng	ISMPE1	30	1

Course Plan：

Instructor Tsai,Ming-Cheng　Office Hours

Email mctsai2@gmail.com

Last Updated 2025-09-18 12:40:56

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~ 3 : Chapter 1 : Functions and Limits Week 4~ 6 : Chapter 2 : Derivatives Week 7~ 9 : Chapter 3 : Inverse Functions Week 10~ 12 : Chapter 4 : Applications of Differentiation Week13~14 : Chapter 5 : Integrals Week 15~17 : Chapter 6 : Techniques of Integration Week 18 : Final exam

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)

The course corresponds to the SDGs 無（None）

Does the course incorporate AI ● 無（None）

Note
　

Instructor	Tsai,Ming-Cheng　Office Hours
Email	mctsai2@gmail.com
Last Updated	2025-09-18 12:40:56
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~ 3 : Chapter 1 : Functions and Limits Week 4~ 6 : Chapter 2 : Derivatives Week 7~ 9 : Chapter 3 : Inverse Functions Week 10~ 12 : Chapter 4 : Applications of Differentiation Week13~14 : Chapter 5 : Integrals Week 15~17 : Chapter 6 : Techniques of Integration Week 18 : Final exam
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)
The course corresponds to the SDGs	無（None）
Does the course incorporate AI	● 無（None）
Note