SemesterSpring Semester, 2021
DepartmentIntegrated Curriculum by Dept. of Mathematical Sciences
Course NameCalculus A
InstructorKim Kyung-Youn
Credit3.0
Course TypeRequired
PrerequisiteCalculus 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

范聖彬


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.




會考: 30%



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