課程大綱及進度表
開課系所
交管工資開課學年
101開課學期
1課程名稱(中文)
微積分(一)課程名稱（英文）
CALCULUS (1)課程碼
H310610分班碼
先修科目或先備能力
高中數學學分數
3開課教師
江中宙電話
65124Office Hours
By Appointment課程概述
由函數的極限及連續性的探討開 始討論微分積分之根本理論方法 及應用，最後會談到反導函數、Riemann 積分的一些基本計算方 法。
教學目標
對微積分有一基本認識，並為日後 應用打下堅實的基礎。授課課程大綱明細
1. Functions, Graphs, and Limits Graphs of Equations
Lines in the Plane and Slope
Functions
Limits and Continuity
2. Differentiation
The Derivative and the Slope of a Graph
Some Rules for Differentiation
Rates of Change: Velocity and Marinals
Derivatives of Higher Order.
The Chain Rule.
Implicit Differentiation.
3. Applications of the Derivative
Increasing and Decreasing Functions
Extrema and the 1st
Concavity and the 2
-Derivative Test
nd
Optimization Problems
-Derivative Test
Asymptotes
Curve Sketching
4. Exponential and Logarithmic Functions
Exponential Functions
Natural Exponential Functions
Derivatives of Exponential Functions
Logarithmic Functions
Derivatives of Logarithmic Functions
5. Integration and its Applications
Antiderivatives and Indefinite Integrals
Integration by Substitution and The General Power Rule
Exponential and Logarithmic Integrals
Area and the Fundamental Theorem of Calculus
The Definite Integral as the Limit of a Sum
參考書目
Calculus An Applied Approach 9th / Ron LarsonEdition
課程要求
學生必須按時上課，遵守課堂基本規定。
評量方式
第一次期中（30%）、第二次期中（30%） 期末 30%
平時成績 (研討課及不定時小考 10%)
缺席扣分原則：每次點名未到扣學期 總成績 1 分
課程網址 助教資訊
備註
課程相關訊息除了課堂上宣佈之外，會公布在成大數位學習平台 (Moodle)。
