課程大綱

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

生命科學系

授課教師

陳宏

課號

MATH1203

課程識別碼

201 101B1

班次

學分

全/半年

全年

必/選修

必帶

上課時間

星期二3,4(10:20~12:10)星期三1(8:10~9:00)星期四9(16:30~17:20)

上課地點

新203新203新203

備註

限本系所學生(含輔系、雙修生)
總人數上限：120人

Ceiba 課程網頁

http://ceiba.ntu.edu.tw/961Calculus08

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

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課程概述

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.

課程目標

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.

課程要求

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

預期每週課後學習時數

Office Hours

每週二 08:30~10:00

參考書目

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

指定閱讀

評量方式
(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