Course Syllabus

Course Information：

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

Fall Semester
Year 2026 363099 Calculus 1 3.0 3 ▲ Kuang-Hui Lin 4ERACE1 0 0 　

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2026	363099	Calculus	1	3.0	3	▲	Kuang-Hui Lin	4ERACE1	0	0

Course Plan：

Instructor Kuang-Hui Lin

Email kuanghui0510@gmail.com

Last Updated 2026-06-03 15:56:20

Course Objective 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. 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。

Course Schedule Week 1~ 3: Chapter 1: Functions and Models Week 4~ 6: Chapter2: Limits and Derivatives Week 7~ 9: Chapter 3: Differentiation Rules Week 10~ 12: Chapter 4: Applications of Differentiation Week13~14: Chapter 5: Integrals Week 15~17: Chapter 6: Applications of Integration Week 18: Final exam

Evaluation and grading policy (1) Midterm Exam: 30% (2) Final Exam: 30% (3) Homework Assignments: 20% (4) Quiz: 10% (5) Mathematics Standardized Test (10/14): 10% To be announced in the class for further details.

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
Essential Calculus: Early Transcendentals, Metric Version 2e(Custom Solutions), James Stewart, Daniel Clegg, Saleem Watson

The access to curricular consultation 1. Office hour
2. Make an appointment
3. Email: kuanghui0510@ntut.edu.tw
4. After class or before class (20 minutes)

Expanding teaching and resources ● 數位科技融入 (Digital Technology Integration)
運用生成式AI、VR/AR、IoT、IRS等新興科技輔助教學與評量。
Utilizes emerging technologies such as Generative AI, VR/AR, IoT, and IRS (Interactive Response Systems) to facilitate teaching and assessment.
● 數位教材資源應用 (Application of Digital Resources)
採用影音多媒體或具開放授權之資源（如OCW、開放教科書）作為主要或輔助教材。
Adopts multimedia or open-licensed resources (e.g., OCW, Open Textbooks) as primary or supplementary teaching materials.

The course corresponds to the SDGs SDG4：優質教育（Quality Education）
SDG8：尊嚴就業與經濟發展（Decent Work and Economic Growth）
SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure）

Does the course incorporate AI ● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools）
● 簡單介紹AI的基本概念（Briefly introduce the basic concept of AI）

Note
學習規範請假、遲到、按照學校規定。
& To be announced in the class

Instructor	Kuang-Hui Lin
Email	kuanghui0510@gmail.com
Last Updated	2026-06-03 15:56:20
Course Objective	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. 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。
Course Schedule	Week 1~ 3: Chapter 1: Functions and Models Week 4~ 6: Chapter2: Limits and Derivatives Week 7~ 9: Chapter 3: Differentiation Rules Week 10~ 12: Chapter 4: Applications of Differentiation Week13~14: Chapter 5: Integrals Week 15~17: Chapter 6: Applications of Integration Week 18: Final exam
Evaluation and grading policy	(1) Midterm Exam: 30% (2) Final Exam: 30% (3) Homework Assignments: 20% (4) Quiz: 10% (5) Mathematics Standardized Test (10/14): 10% To be announced in the class for further details.
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes Essential Calculus: Early Transcendentals, Metric Version 2e(Custom Solutions), James Stewart, Daniel Clegg, Saleem Watson
The access to curricular consultation	1. Office hour 2. Make an appointment 3. Email: kuanghui0510@ntut.edu.tw 4. After class or before class (20 minutes)
Expanding teaching and resources	● 數位科技融入 (Digital Technology Integration) 運用生成式AI、VR/AR、IoT、IRS等新興科技輔助教學與評量。 Utilizes emerging technologies such as Generative AI, VR/AR, IoT, and IRS (Interactive Response Systems) to facilitate teaching and assessment. ● 數位教材資源應用 (Application of Digital Resources) 採用影音多媒體或具開放授權之資源（如OCW、開放教科書）作為主要或輔助教材。 Adopts multimedia or open-licensed resources (e.g., OCW, Open Textbooks) as primary or supplementary teaching materials.
The course corresponds to the SDGs	SDG4：優質教育（Quality Education） SDG8：尊嚴就業與經濟發展（Decent Work and Economic Growth） SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure）
Does the course incorporate AI	● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools） ● 簡單介紹AI的基本概念（Briefly introduce the basic concept of AI）
Note	學習規範請假、遲到、按照學校規定。 & To be announced in the class