SemesterFall Semester, 2019
DepartmentIntegrated Curriculum by Dept. of Mathematical Sciences
Course NameCalculus A
InstructorFUCHS MICHAEL
Credit3.0
Course TypeRequired
Prerequisite
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



Introduction and Limits



2.2 and 2.3



Selected Exercises



3



5



2



Limits at Infinity, Continuity and Derivatives



2.5, 2.6, 2.7



Selected Exercises



3



5



3



Derivates and Differentiation Rules



2.8, 3.1, 3.2



Selected Exercises



3



5



4



Differentiation Rules



3.3, 3.4, 3.5



Selected Exercises



3



5



5



Differentiation Rules and Extreme Values



3.6, 3.10, 4.1



Selected Exercises



3



5



6



Mean Value Theorem and Shape of a Graph



4.2 and 4.3



Selected Exercises



3



5



7



L'Hosptial's Rule, Optimization Problems and Antiderivatices



4.4, 4.7, 4.9



Selected Exercises



3



5



8



Midterm Exam



 



 



2



6



9



Definite Integrals 


5.1 and 5.2

Selected Exercises



3



5



10



Fundamental Theorem of Calculus and Indefinite Integrals



5.3 and 5.4



Selected Exercises



3



5



11



Substitution Rule and Areas between Curves



5.5 and 6.1



Selected Exercises



3



5



12



Volumes



6.2 and 6.3



Selected Exercises 



3



5



13



Techniques of Integration I



7.1 and 7.2



Selected Exercises



3



5



14



Techniques of Integration II



7.3 and 7.4



Selected Exercises



3



5



15



Improper integrals



7.7



Selected Exercises



3



5



16



Final Exam



 



 



2



6



17



 



 



 



 



8



18



會考



 



 



2



6



Teaching Methods
Teaching Assistant

葉佳明



Office hour: Monday from 12:00 to 14:00 at Zhixi Building, room 070117


Requirement/Grading

Homework Assignments and Quizzes: 30%



Midterm Exam: 20%



Final Exam: 20%



會考 (Scheduled on Saturday afternoon, 2020/01/04): 30%


Textbook & Reference

James Stewart, Calculus - Early Transcendentals, 8th Edition


Urls about Course
Attachment