使同學了解微積分的基本觀念及性質，熟悉微積分的運算技巧，並了解微積分在各領域的應用，訓練學生思維能力，並奠定日後研習生醫數學、生物統計等分析的基礎。
The objective of this course is to establish the fundamental concepts of CALCULUS for the students who have had the equivalent of two years of high school algebra. The course also provide the practices including business, physics, the life and health sciences student need in continued studies and future careers.
先修科目Prerequisites
None
None
教學方式Teaching Methods
評量方式Assessment
暫定:
小考與出席隨堂考 (30%)、期中考(25~30%)、期末考(40~45%)
uncertained:
Attendance, quiz and study assignments (30%), midterm exam (30%), final exam (40%)
參考書目Reference
1. Hoffmann LD & Bradley GL, [Calculus for Business, Economics ,and the social
and Life Sciences], 10th or newer Edition (Brief or Expanded Edition)
2. Adams C, Hass J and Thompson A 著, 師明睿 譯，[微積分之屠龍寶刀] 與 [微積分的倚天寶劍]
教學進度Course Schedule
2013/03/07 1. limits at Infinity
2. One-Sided limits and Continuity
1. limits at Infinity
2. One-Sided limits and Continuity
黃恆立(Heng-Li Huang) 2013/03/14 1. The Derivative
2. Techniques of Differentiation I
1. The Derivative
2. Techniques of Differentiation I
黃恆立(Heng-Li Huang) 2013/03/21 1. Techniques of Differentiation II
2. Chain rule
1. Techniques of Differentiation II
2. Chain rule
黃恆立(Heng-Li Huang) 2013/03/28 1. The Second and Higher Derivation
2. Implicit differentiation and related rates
1. The Second and Higher Derivation
2. Implicit differentiation and related rates
黃恆立(Heng-Li Huang) 2013/04/04 1. Increasing and Decreasing Functions and Relative Extrema
2. Concavity and Inflection point
1. Increasing and Decreasing Functions and Relative Extrema
2. Concavity and Inflection point
黃恆立(Heng-Li Huang) 2013/04/11 1. The Newton’s Method for Solving Equations
2. Review
1. The Newton’s Method for Solving Equations
2. Review
黃恆立(Heng-Li Huang) 2013/04/18 期中考
Midterm exam
黃恆立(Heng-Li Huang) 2013/04/25 1. Optimization & The Applications of Optimization
2. L hospital rule
1. Optimization & The Applications of Optimization
2. L hospital rule
黃恆立(Heng-Li Huang) 2013/05/02 1. Exponential and Logarithmic Functions
2. Differentiation of Exponential and Logarithmic Functions
1. Exponential and Logarithmic Functions
2. Differentiation of Exponential and Logarithmic Functions
黃恆立(Heng-Li Huang) 2013/05/09 1. Functions of several variables
2. Partial derivatives
3. Optimizing functions of two variables
1. Functions of several variables
2. Partial derivatives
3. Optimizing functions of two variables
黃恆立(Heng-Li Huang) 2013/05/16 1. The skills of indefinite integral I
2. The skills of indefinite integral II
1. The skills of indefinite integral I
2. The skills of indefinite integral II
黃恆立(Heng-Li Huang) 2013/05/23 1. The skills of indefinite integral III
2. Definite integral and its’ fundamental meaning
1. The skills of indefinite integral III
2. Definite integral and its’ fundamental meaning
黃恆立(Heng-Li Huang) 2013/05/30 1. Numerical Integration
2. Application of integral to the area between curves
1. Numerical Integration
2. Application of integral to the area between curves
黃恆立(Heng-Li Huang) 2013/06/06 1. Improper integrals
2. Double integrals over rectangular regions
3. The volune of a solid revolution
1. Improper integrals
2. Double integrals over rectangular regions
3. The volune of a solid revolution
黃恆立(Heng-Li Huang) 2013/06/13 1. Mean value throrem
2. Review
1. Mean value throrem
2. Review
黃恆立(Heng-Li Huang) 2013/06/20 期末考
Final exam
黃恆立(Heng-Li Huang) 2013/02/21 1. Orientation
2. Functions and Graphing
3. Linear Functions & Power Functions
4. Limits
1. Orientation
2. Functions and Graphing
3. Linear Functions & Power Functions
4. Limits
黃恆立(Heng-Li Huang) 2013/02/28 228放假
National Holiday
黃恆立(Heng-Li Huang)