Semester Spring Semester, 2021 Department Integrated Curriculum by Dept. of Mathematical Sciences Course Name Calculus A Instructor Credit 3.0 Course Type Required Prerequisite Calculus A
Course Objective
Course Description
Course Schedule

 週次 Week 課程主題  Topic 課程內容與指定閱讀   Content and Reading  Assignment 教學活動與作業   Teaching  Activities and Homework 學習投入時間 Student workload expectation 課堂講授  In-class Hours 課程前後 Outside-of-class Hours 1 (Mar.5) Arc length and calculus of parametric curves 8.1, 10.1-10.2 Selected Exercises 3 5 2 (Mar.12) Calculus of polar curves 10.3-10.4 Selected Exercises 3 5 3 (Mar.19) Sequences, series, and integral test 11.1-11.3 Selected Exercises 3 5 4 (Mar.26) The comparison test, alternative series, and absolute convergence 11.4-11.6 Selected Exercises 3 5 5 (April 9) QUIZ1 Ratio and root test and power series 11.6-11.8 Selected Exercises 3 5 6 (April16) Representation of functions as power series, Taylor and Maclaurin series 11.9-11.11 Selected Exercises 3 5 7 (April23) Review of Vectors 12.1-12.5 Selected Exercises 3 5 8 Midterm Exam Selected Exercises 8 9 (April30) Vector functions 13.1-13.2 Selected Exercises 3 5 10 (May 7) Functions of several variables, limits, and continuity 14.1-14.2 Selected Exercises 3 5 11 (May14) QUIZ2 Partial derivatives and derivate of a function 14.3-14.4 Selected Exercises 3 5 12 (May21) Chain rule and directional derivatives, gradient vector 14.5-14.6 Selected Exercises 3 5 13 (May28) Maximum and minimum values and Lagrange multipliers 14.7-14.8 Selected Exercises 3 5 14 (June4) QUIZ3 Double integrals 15.1-15.2 Selected Exercises 3 5 15 (June11) Double integrals in polar coordinates and applications 15.3-15.4 Selected Exercises 3 5 16 Final Exam 8 17 (June18) Review 3 5 18 會考 3 5

Teaching Methods
Teaching Assistant

Requirement/Grading
Quizzes: 30%  tentative dates:

April 9, May 14, June 4, 3 times, each 10%, During the class for 30 minutes.

Midterm Exam: 20% Between April 23~30, for 2 hours.

Final Exam: 20%  Between June 11~18, for 2 hours.

Note: Our first class is March 5(no class on February 26).

We will discuss and decide "Midterm exam and Final exam dates" on the first class.

Textbook & Reference

James Stewart, Daniel K. Clegg, Saleem Watson, Calculus:  Early Transcendentals, Metric Version 9th Edition.

Urls about Course
Attachment