Course Syllabus

Course Information：

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2024	327961	Calculus	2	3.0	3	▲	Li Cheng-Che	4MEE1	48	1

Course Plan：

Instructor	Li Cheng-Che
Email	toadli10059@gmail.com
Last Updated	2024-04-29 05:13:52
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: 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. Attendance: 10%. 2. HW+Quizzes: 40%. 3. Midterm: 25%. 4. Final: 25%.
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	1.students may use emails"toadli10059@gmail.com" for further consultations. 2.For the online courses in week 17 & 18, we will use "google meet" as the tool. Please pay attention on the announcement in "i-campus+" before classes.
The course corresponds to the SDGs
Does the course incorporate AI
Note	We will follow the rules of NTUT. For the online courses in week 17 & 18, we will use "google meet" as the tool. Please pay attention on the announcement in "i-campus+" before classes. In addition, we shall have 5-10 points HW for these on-line courses evaluation.