Course title 
CALCULUS (1) 
Semester 
1111 
Designated for 
DEPARTMENT OF ECONOMICS 
Instructor 
SERWEI FU 
Curriculum Number 
MATH4006 
Curriculum Identity Number 
201E49810 
Class 
13 
Credits 
2.0 
Full/Half Yr. 
Half 
Required/ Elective 
Preassign 
Time 
第1,2,3,4,5,6,7,8 週 Monday 3,4(10:20~12:10) Thursday 3,4,10(10:20~18:20) 
Remarks 
Restriction: within this department (including students taking minor and dual degree program) The upper limit of the number of students: 180. 


Course introduction video 

Table of Core Capabilities and Curriculum Planning 
Table of Core Capabilities and Curriculum Planning 
Course Syllabus

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Course Description 
這是一門半學期的課程,主要介紹單變數函數的微分運算,和微分在各領域豐富的應用。內容涵蓋極限與連續的定義,微分技巧,畫函數圖形,和極值問題等。課堂上將講解定義並推導重要定理,以培養學生邏輯推理與分析能力;同時會示範微積分在各領域的應用,幫助學生將微積分與其他專業科目結合。本課程還設有習題課,學生將在助教的帶領下熟練微積分的計算並完成學習單上的小型研究題目。
Differentiation on functions of a single variable together with its profound applications in various subject areas are introduced in this halfsemester course. Especially, this course includes the definitions of limits and continuity, techniques of differentiation, curve sketching, strategies in solving extremevalue problem and more. Definitions are discussed and the most important theorems are derived in the lectures with a view to help students to develop their abilities in logical deduction and analysis. Practical applications of Calculus in various fields are illustrated in order to promote a more organic interaction between the theory of Calculus and students' own fields of study. This course also provides discussion sessions in which students are able to improve their skills in handling calculations in Calculus and complete small projects under the guidance of our teaching assistants. 
Course Objective 
修完本課程學生能熟悉微積分工具,並應用在經濟學領域。
Students would be familiar with Calculus as a tool and be able to apply it in Economics areas after finishing this course. 
Course Requirement 
學生應熟練高中數學,並完成為台大新生預備的線上「微積分學前自我檢測」。學生應出席並積極參與課堂與習題課的討論。
Before taking this course, students should be already skilled in high school mathematics and finish the online Precalculus Self Diagnostic Test which is designed for NTU freshmen. Students are expected to attend and participate actively in lectures as well as discussion sessions. 
Student Workload (expected study time outside of class per week) 
48 
Office Hours 
Appointment required. 
References 
微積分統一教學網站: http://www.math.ntu.edu.tw/~calc/Default.html
台大微積分考古題: http://www.math.ntu.edu.tw/~calc/cl_n_34455.html
數學知識網站: http://episte.math.ntu.edu.tw/cgi/mathfield.pl?fld=cal
免費線上數學繪圖軟體 Desmos Calculator: https://www.desmos.com/calculator
免費知識型計算引擎: https://www.wolframalpha.com 
Designated reading 
James Stewart, Daniel Clegg, and Saleem Watson, Calculus Early Transcendentals, 9th edition. 
Grading 
No. 
Item 
% 
Explanations for the conditions 
1. 
Exam 
50% 

2. 
Quiz 
20% 

3. 
Homework 
30% 


Adjustment methods for students 
Teaching methods 
Assisted by video, Provide students with flexible ways of attending courses 
Assignment submission methods 
Extension of the deadline for submitting assignments 
Exam methods 
Final exam date postponement 
Others 
Negotiated by both teachers and students 
