:::
  • 回上一頁

課程名稱

微積分(一)

Course Name

CALCULUS(1)

課程敘述

內容包含函數極限,函數極限精確定義,利用極限定理求極限,連續性,導數,導函數,微分公式,三角函數之導數,連鎖法則,隱微分,高階導數,線性近似與微分量,極大和極小值,均值定理、導數與函數圖形之關係,無窮極限,水平漸近線,反導數,定積分,微積分基本定理,不定積分,代換法,曲線所圍之區域面積,函數平均值(積分均值定理),自然對數函數,自然指數函數,一般對數與指數函數,反三角函數,不定型與L'Hospital's Rule。

Course Description

Topics include the Limit of a Function, the Precise Definition of a Limit, the Limit Laws, Continuity, Derivatives, the Derivative as a Function, Differentiation Formula, Derivatives of Trigonometric Functions, the Chain Rule, Implicit Differentiation, Higher Derivatives, Linear Approximation Maximun and Minimum Values, the Mean Value Theorem, the Shape of a Graph, Limits at Infinity, Antiderivatives, the Definite Integral, the Fundamental Theorem of Calculus, Indefinite Integrals, the Substitution Rule, Area between Curves, Average Values of a Function, the Natural Logarithmic Function, the Natural Exponential Function, General Logarithmic and Exponential Functions, Inverse Trigonometric Function, L'Hospital's Rule.