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課程名稱 |
微積分乙上
CALCULUS (GENERAL MATHEMATICS) (B)(1) |
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開課學期 |
99-1 |
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授課對象 |
醫學系 |
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授課教師 |
王振男 |
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課號 |
MATH1203 |
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課程識別碼 |
201 101B1 |
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班次 |
06 |
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學分 |
3 |
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全/半年 |
全年 |
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必/選修 |
必帶 |
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上課時間 |
星期二3,4(10:20~12:10)星期四5(12:20~13:10) |
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上課地點 |
新102新102 |
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備註 |
限本系所學生(含輔系、雙修生)
總人數上限：130人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/991calculus |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
1. Basic concepts: functions and limits, etc.
2. Differentiation
3. Applications of derivatives
4. Integration
5. Applications of definite integrals
6. Transcendental functions
7. Techniques of integration
8. Infinite sequences and series
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課程目標 |
This section of Calculus is exclusively designed for first-year students in medical school. We will quickly go over some basic concepts and notations. To get into the core of Calculus, we will define the notation of limit rigorously. Having understood the concept of limit, we can define derivatives and integral of a function. Some interesting and useful applications of derivatives and integrals will be given. We hope to introduce basic knowledge of infinite sequences and series by the end of the first semester. A student who finishes the first semester should have solid knowledge of handling various problems for functions of single variable. |
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課程要求 |
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預期每週課後學習時數 |
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Office Hours |
另約時間 備註： 教師email:jnwang@math.ntu.edu.tw |
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指定閱讀 |
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參考書目 |
Thomas’ Calculus (Early Transcendentals), 12th Edition, by Weir, Hass, and Giordano. Pearson International Edition. |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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Week 1 |
9/14,9/16 |
Basic concepts, Functions |
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Week 2 |
9/21,9/23 |
Limits, Continuity |
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Week 3 |
9/28,9/30 |
Differentiation, Chain rule, Implicit differentiation (Homework #1 due) |
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Week 4 |
10/05,10/07 |
Applications of derivatives (Quiz #1) |
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Week 5 |
10/12,10/14 |
Applications of derivatives, Integration (Homework #2 due) |
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Week 6 |
10/19,10/21 |
The Definite Integral, The fundamental theorem of Calculus (Quiz #2) |
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Week 7 |
10/26,10/28 |
Change of variables, Applications of integrals |
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Week 8 |
11/02,11/04 |
Applications of integrals (Homework #3 due) |
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Week 9 |
11/09,11/11 |
Transcendental functions |
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Week 10 |
11/16,11/18 |
Transcendental functions, Techniques of integration (Homework #4 due) |
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Week 11 |
11/23,11/25 |
Techniques of integration (Quiz #3) |
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Week 12 |
11/30,12/02 |
Improper integrals (Homework #5 due) |
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Week 13 |
12/07,12/09 |
Ordinary differential equations (Quiz #4) |
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Week 14 |
12/14,12/16 |
Ordinary differential equations (Homework #6 due) |
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Week 15 |
12/21,12/23 |
Conic sections, Polar coordinates (Quiz #5) |
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Week 16 |
12/28,12/30 |
Infinite sequences and series (Homework #7due) |
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Week 17 |
1/04,1/06 |
Infinite sequences and series (Homework #8) |
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