課程資訊

CALCULUS (GENERAL MATHEMATICS) (B)(1)

96-1

MATH1203

201 101B1

08

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/961Calculus08

It covers basic topics in single-variable and multi-variable calculus. It also covers some material on calculus-based probability theory such as discrete and continuous probability distributions, law of large numbers and central limit theorem. For single-variable calculus, it includes function and inverse function, limits, concept of continuity, derivatives, linear approximation, optimization, integral, Taylor expansion, and root finding. For multi-variable calculus, it includes partial derivatives, extremes, Lagrange multiplier, and double integrals.

1. To understand and be able to use calculus and probability to describe the dynamics of life.
2. To think in probabilistic terms in dealing with uncertainty in our daily lives.
3. To provide students with the fundamental ideas and tools of calculus that will put them in a good position for understanding more technical work in life sciences.

Must attend 演習課 on every Wednesday from 8:10~9:00.

Office Hours

Textbook: Calculus for the Life Sciences by Greenwell, Ritchey, and Lial.

(僅供參考)

 No. 項目 百分比 說明 1. Midterm 35% 2. Final test 35% 3. 演習課及習題 20% 4. Quizzes 10% 小考1: 3-1-3.4; 小考2: 4-1-4.5; 小考3: 4-6-5.2; 小考4: 6-1-6.3 小考5: 6-4-7.2; 小考6: 7-3-7.6 小考7: 8-1-8.2

 課程進度
 週次 日期 單元主題 第1週 9/18,9/19,9/20 Tu: 颱風 Th: 本學期課程說明 ;※ [1] 函數 ※[2] 指、對數函數, 三角函數複習 Th: [3.1] Limits 第2週 9/25,9/26,9/27 Tu: 中秋節放假一天 W: Start on [3.2] Continuity [3.3] Rate of Change; Th: {3.2] Continuity and [3.3] Rate of Change 第3週 10/02,10/03,10/04 Tu: [3.4] Definition of the Derivative; [3.5] Graphical Differentiation; Th: [4.1] Techniques of Finding Derivatives[4.2] Derivative of Products and Quotients 第4週 10/09,10/10,10/11 Tu: [4.3] The Chain Rule; [4.4] Derivative of Exponential Functions; [4.5] Derivative of Logarithmic Functions Th: [4.6] Derivative of Trigonometric Functions 第5週 10/16,10/17,10/18 Tu: [4.6] Derivative of Trigonometric Functions Th: [5.1] Increasing and Decreasing Functions 第6週 10/23,10/24,10/25 Tu: [5.2] Relative Extrema Th: [5.3] Higher Derivatives, Concavity, and Second Derivative Test 第7週 10/30,10/31,11/01 Tu: [5.3] Higher Derivatives, Concavity, and Second Derivative Test; [5.4] Curve Sketching Th: Review 第8週 11/06,11/07,11/08 Tu: 期中考；範圍：[CH3-CH5] Th: [6.1] Absolute Extrema 第9週 11/13,11/14,11/15 Tu: [6.1] Absolute Extrema [6.2] Applications of Extrema Wednesady: 演習課檢討期中考卷 Th: 校慶停課一天 第10週 11/20,11/21,11/22 Tu: Review [6.2] Applications of Extrema, finish [6.3] Implicit Differentiation and start on [6.4] Relative Rates Th: Finish [6.4] Relative Rates. 第11週 11/27,11/28,11/29 Tu: [6.5] Differentials: Linear Approximation; [7.1] Antiderivative Th: [7.1] Antiderivative , [7.2] Substitution 第12週 12/04,12/05,12/06 Tu: Finsh [7.2] Substitution [7.3] Area and the Definite Integral Wed: Start on [7.4] The Fundamental Theorem of Calculus 第13週 12/11,12/12,12/13 Tu: [7.4] Finsh The Fundamental Theorem of Calculus and start on [7.5] the Integral of Trigonometric Functions Th: Finish [7.5] the Integral of Trigonometric Functions 第14週 12/18,12/19,12/20 Tu: [7.5] Integral of Trigonometric Functions; [7.6] The Area Between Two Curves Th: [8.2] Integration by Parts 第15週 12/25,12/26,12/27 Tu: [8.3] Volume and Average Value; Start on [8.4] Improper Integral Th: [8.4] Improper Integral, [8.1] Numerical Integration 第16週 1/01,1/02,1/03 Tu: 開國紀念日放假一天 Th: [8.1] Numerical Integration 第17週 1/08,1/09,1/10 Tu; Th: Review 第18週 1/15,1/22 1/15: 期末考；範圍：[CH6-CH8.4] 1/22: 看試卷