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 355717 Calculus 2 3.0 3 ▲ Kuang-Hui Lin 4ERACE1 48 0 　

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2026	355717	Calculus	2	3.0	3	▲	Kuang-Hui Lin	4ERACE1	48	0

Course Plan：

Instructor Kuang-Hui Lin

Email kuanghui0510@gmail.com

Last Updated 2025-12-19 20:03:59

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. Sequences and series 10.Infinite Series. 11.Partial Derivative, 12.Multiple Integration.

Course Schedule week 1: polar coordinates, calculus in polar coordinates. week 2: sequences, series. week 3: integral test, comparison test. week 4: alternating series, ratio and root test. week 5: power series, representations of functions as power series. week 6: Taylor series and its applications. week 7: functions of several variables, limits and continuity. week 8: partial derivatives, tangent planes. week 9: midterm. week 10: chain rules, directional derivatives. week 11: extreme values, Lagrange multipliers. week 12: double integral over rectangles and general regions. week 13: double integrals in polar coordinates and its applications. week 14: triple integrals. week 15: triple integrals in cylindrical coordinates. week 16: triple integrals in spherical coordinates. week 17: change of variables in multiple integrals. week 18: final.

Evaluation and grading policy (1) Midterm Exam: 30% (2) Final Exam: 30% (3) Homework Assignments: 20% (4) Quiz: 20% 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)

The course corresponds to the SDGs SDG4：優質教育（Quality Education）
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	2025-12-19 20:03:59
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. Sequences and series 10.Infinite Series. 11.Partial Derivative, 12.Multiple Integration.
Course Schedule	week 1: polar coordinates, calculus in polar coordinates. week 2: sequences, series. week 3: integral test, comparison test. week 4: alternating series, ratio and root test. week 5: power series, representations of functions as power series. week 6: Taylor series and its applications. week 7: functions of several variables, limits and continuity. week 8: partial derivatives, tangent planes. week 9: midterm. week 10: chain rules, directional derivatives. week 11: extreme values, Lagrange multipliers. week 12: double integral over rectangles and general regions. week 13: double integrals in polar coordinates and its applications. week 14: triple integrals. week 15: triple integrals in cylindrical coordinates. week 16: triple integrals in spherical coordinates. week 17: change of variables in multiple integrals. week 18: final.
Evaluation and grading policy	(1) Midterm Exam: 30% (2) Final Exam: 30% (3) Homework Assignments: 20% (4) Quiz: 20% 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)
The course corresponds to the SDGs	SDG4：優質教育（Quality Education） 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