課程資訊
 課程名稱 微積分乙上CALCULUS (GENERAL MATHEMATICS) (B)(1) 開課學期 96-1 授課對象 授課教師 田光復 課號 MATH1203 課程識別碼 201 101B1 班次 10 學分 3 全/半年 全年 必/選修 必修 上課時間 星期二3,4(10:20~12:10)星期四9(16:30~17:20) 上課地點 新103新103 備註 限醫學院各系、農化、公衛等系學生修習總人數上限：80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 預期每週課後學習時數 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)
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