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 355644 Calculus 2 3.0 3 ▲ Li Cheng-Che 4IEM1B 49 0 　

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2026	355644	Calculus	2	3.0	3	▲	Li Cheng-Che	4IEM1B	49	0

Course Plan：

Instructor Li Cheng-Che

Email toadli10059@gmail.com

Last Updated 2025-12-17 20:02:21

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.

Course Schedule week 1: trigonometric substitution. week 2: integration of rational functions by partial fractions. week 3: integral strategy for integration, improper integrals. week 4: arc length, surface area. week 5: parametric equations, calculus with parametric equations. week 6: polar coordinates, calculus in polar coordinates. 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. Attendance: 10%. 2. HW: 10% 3. Quizzes: 20%. 4. Midterm: 30%. 5. Final: 30%.

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
Essential Calculus 2e metric version early transcendentals, by J. Stewart, D. Clegg, S. Watson, Ting Lung Book Co.

The access to curricular consultation Students may use emails"toadli10059@gmail.com" for further consultations.

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
　

Instructor	Li Cheng-Che
Email	toadli10059@gmail.com
Last Updated	2025-12-17 20:02:21
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.
Course Schedule	week 1: trigonometric substitution. week 2: integration of rational functions by partial fractions. week 3: integral strategy for integration, improper integrals. week 4: arc length, surface area. week 5: parametric equations, calculus with parametric equations. week 6: polar coordinates, calculus in polar coordinates. 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. Attendance: 10%. 2. HW: 10% 3. Quizzes: 20%. 4. Midterm: 30%. 5. Final: 30%.
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes Essential Calculus 2e metric version early transcendentals, by J. Stewart, D. Clegg, S. Watson, Ting Lung Book Co.
The access to curricular consultation	Students may use emails"toadli10059@gmail.com" for further consultations.
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