課程名稱 
微積分1 CALCULUS (1) 
開課學期 
1121 
授課對象 
經濟學系 
授課教師 
蔡國榮 
課號 
MATH4006 
課程識別碼 
201E49810 
班次 
11 
學分 
2.0 
全/半年 
半年 
必/選修 
必帶 
上課時間 
第1,2,3,4,5,6,7,8 週 星期一3,4(10:20~12:10)星期四3,4,10(10:20~18:20) 
上課地點 
共101共101 
備註 
本課程以英語授課。密集課程。英文授課.統一教學.四10實習課.初選將直接帶入此班次的微積分2.加退選階段請自行加選微積分2. 限本系所學生(含輔系、雙修生) 總人數上限：180人 


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課程概述 
Calculus was independently founded by Issac Newton and Gottfried Leibniz to describe and study the change of functions with respect to their variables. This subject had found applications (and also become fundamental) in physics, chemistry, engineering etc. In the first module of this serial of courses in Calculus, we will introduce differentiation of functions in one (real) variable. To be specific, we will define the derivative of a function, derive basic rules and techniques of differentiation, analyse extrema of a function, discuss the statement and applications of the Mean Value Theorem(s) and sketch the graph of a function. In addition, we will discuss applications in Economics such as Revenue Optimization and Point Elasticity of Demand.
Key definitions are discussed and some important theorems are derived in the lectures with a view to help students to develop their abilities to conduct logical deduction and analysis. Practical applications of Calculus in various fields are illustrated in order to promote an organic interaction between the theory of Calculus and students' own fields of study.
This course also provides TA classes in which students are able to make their skills in handling calculations in Calculus more proficient under the guidance of our teaching assistants.
Provisional Schedule :
Week 1  Functions and their limits
Week 2  Limits & Continuity
Week 3  Differentiation 1 : Basics & Techniques
Week 4  Differentiation 2 : Chain rule & its Applications
Week 5  Curve sketchings
Week 6  Mean Value Theorems & L'Hôpital's rule
Week 7  Applications in Economics
Week 8  Reviews 
課程目標 
Students will be familiar with Calculus as a tool and be able to apply it in various subjects including Economics after finishing this course. 
課程要求 
The prerequisites are high school mathematics  proficiency in trigonometry (compound angle formulas, radian measures) is expected. Prior experience with calculus is helpful but not essential. 
預期每週課後學習時數 
After 4hour lecture per week, students are expected to spend around 23 hours in revising the materials, completing homework/worksheets and exercises on WeBWorK. 
Office Hours 

指定閱讀 
Textbook: Stewart, Clegg, Watson, CALCULUS: EARLY TRANSCENDENTALS, Metric, 9th Edition (Note that this is a new edition)
This course will be supplemented by instructor's lecture notes. 
參考書目 
NTU Calculus Unified Website: http://www.math.ntu.edu.tw/~mathcal/a/
NTU Calculus Past Exams: http://www.math.ntu.edu.tw/~mathcal/a/?page_id=7 
評量方式 (僅供參考) 

針對學生困難提供學生調整方式 
上課形式 
以錄影輔助, 提供學生彈性出席課程方式 
作業繳交方式 

考試形式 

其他 
由師生雙方議定 

週次 
日期 
單元主題 
Week 1 
9/49/8 
Week 1  Functions and their limits
HW 1 due 
Week 2 
9/119/15 
Week 2  Limits & Continuity 
Week 3 
9/189/22 
Week 3  Differentiation 1 : Basics & Techniques
WS 1 due
Quiz 1 
Week 4 
9/259/29 
Week 4  Differentiation 2 : Chain rule & its Applications 
Week 5 
10/210/6 
Week 5  Curve sketchings
HW 4 due 
Week 6 
10/910/13 
Week 6  Mean Value Theorems & L'Hôpital's rule
WS 2 due
Quiz 2 
Week 7 
10/1610/20 
Week 7  Applications in Economics
HW 6 due 
Week 8 
10/2310/27 
Week 8  Reviews
WS 3 due 
