課程資訊
 課程名稱 微積分乙上CALCULUS (GENERAL MATHEMATICS) (B)(1) 開課學期 99-1 授課對象 農業化學系 授課教師 鄭明燕 課號 MATH1203 課程識別碼 201 101B1 班次 07 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202 備註 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 預期每週課後學習時數 Office Hours 參考書目 James Stewart的Essential Calculus(沒有其他字) 指定閱讀 評量方式(僅供參考)
 課程進度
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