課程資訊
課程名稱
微積分乙下
Calculus (general Mathematics) (b)(2) 
開課學期
100-2 
授課對象
森林環境暨資源學系  
授課教師
吳貴美 
課號
MATH1204 
課程識別碼
201 101B2 
班次
05 
學分
全/半年
全年 
必/選修
必修 
上課時間
星期二1(8:10~9:00)星期四7,8(14:20~16:20) 
上課地點
共103共103 
備註
統一教學.大二以上限20人.
限本系所學生(含輔系、雙修生)
總人數上限:100人 
 
課程簡介影片
 
核心能力關聯
本課程尚未建立核心能力關連
課程大綱
為確保您我的權利,請尊重智慧財產權及不得非法影印
課程概述

I. Differentiation and Continuity of function of a real variable
1. History of calculus and some elementary prerequisites in analytical geometry and algebra.
2. Concept of infinitesimal and the concept of differentiation.
3. Differentiability and Continuity. First order approximation of a function value near a known function value.
4. Differentiation rules, arithmetic rules, and chain rule of elementary functions. Differentiation of inverse function.
5. Roll’s theorem, mean value theorem, intermediate value theorem.
6 Graphing of rational functions, trigonometric and inverse functions.
7. Extrema problems of continuous and differentiable functions. Applications of this extremal calculus。
8 Implicit differentiation of functions. How to locate the tangent line to a conics.
II. Integration
9.Partition and integration of a continuous function, upper and lower sums,Riemann sums to prove arithmetic laws of integration. Fundamental theorem of calculus.
10. Elementary indefinite integrals of elementary functions. 

課程目標
Understand the use of infinitesimals, derivatives and integrations of functions and numerical methods in approximating a solution. The skills in calculus as a preparatory discipline in application to other field. Understand the value of a differential equation in treating problems in natural phenomena. 
課程要求
建議先修:high school mathematics 
Office Hours
 
參考書目
書名:Differential Equations
作者:by P. Blanchard, R. Devaney, G. Hall
出版:Thomson Learning 
指定閱讀
 
評量方式
(僅供參考)
   
課程進度
週次
日期
單元主題
無資料