課程資訊
 課程名稱 微積分甲下Calculus (general Mathematics) (a)(2) 開課學期 103-2 授課對象 生物機電工程學系 授課教師 劉瓊如 課號 MATH1202 課程識別碼 201 101A2 班次 13 學分 4 全/半年 全年 必/選修 必修 上課時間 星期一5,6(12:20~14:10)星期五1,2(8:10~10:00) 上課地點 新103新103 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 Ceiba 課程網頁 http://ceiba.ntu.edu.tw/1032MATH1202_13 課程簡介影片 核心能力關聯 核心能力與課程規劃關聯圖 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 課程大綱 1. Limits and continuity, 2. Differentiation, 3. Application of Differentiation, 4. Integration, 5. Application of integrals, 6. Transcendental functions, 7. Techniques of Integration, 8. Infinte Series 9. Function of Several Variables 10. Multiple Integration 11. Vector Analysis 課程目標 學生能從此課程中學習到微積分的理論與應用 課程要求 待補 預期每週課後學習時數 Office Hours 參考書目 課本 Calculus: Early Transcendentals 7th edition, 作者： James Stewart 指定閱讀 待補 評量方式(僅供參考)
 課程進度
 週次 日期 單元主題 第1週 [1.5] Exponential Functions [1.6] Inverse Functions and Logarithms 2. Limits and Derivatives [2.1] The Tangent and Velocity Problems [2.2] The Limit of a Function [2.3] Calculating Limits Using the Limit Laws 第2週 [2.4] The Precise Definition of a Limit [2.5] Continuity [2.6] Limits at Infinity; Horizontal Asymptotes [2.7] Derivatives and Rates of Change 第3週 [2.8] The Derivative as a Function [3.1] Derivatives of Polynomials and Exponential Functions [3.2] The Product and Quotient Rules [3.3] Derivatives of Trigonometric Functions 第4週 [3.4] The Chain Rule [3.5] Implicit Differentiation 第5週 [3.6] Derivatives of Logarithmic Functions [3.8] Exponential Growth and Decay [3.9] Related Rates [3.10] Linear Approximations and Differentials 第6週 [4.1] Maximum and Minimum Values [4.2] The Mean Value Theorem 第7週 [4.3] How Derivatives Affect the Shape of a Graph [4.4] Indeterminate Forms and L’Hospital’s Rule [4.5] Summary of Curve Sketching [4.7] Optimization Problems 第8週 [4.9] Antiderivatives [5.1] Areas and Distances 第9週 期中考 第10週 [5.2] The Definite Integral [5.3] The Fundamental Theorem of Calculus [5.4] Indefinite Integrals and the Net Change Theorem [5.5] The Substitution Rule 第11週 [6.1] Areas Between Curves [6.2] Volumes [6.3] Volumes by Cylindrical Shells [6.5] Average Value of a Function 第12週 [7.1] Integration by Parts [7.2] Trigonometric Integrals [7.3] Trigonometric Substitution [7.4] Integration of Rational Functions by Partial Fractions 第13週 [7.5] Strategy for Integration [7.8] Improper Integrals [8.1] Arc Length 第14週 [8.2] Area of a Surface of Revolution [9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method 第15週 [9.3] Separable Equations [9.4] Models for Population Growth [9.5] Linear Equations 第16週 [10.1] Curves Defined by Parametric Equations [10.2] Calculus with Parametric Curves 第17週 [10.3] Polar Coordinates [10.4] Areas and Lengths in Polar Coordinates [10.6] Conic Sections in Polar Coordinates 第18週 期末考