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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 |
100-1 |
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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 |
星期二3,4,9(10:20~17:20)星期四9(16:30~17:20) |
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上課地點 |
新102新102 |
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備註 |
二9為實習課.
限本系所學生(含輔系、雙修生)
總人數上限：130人 |
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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. Improper integrals
9. Sequences and Infinite series
10. Power series.
11. 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 |
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指定閱讀 |
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參考書目 |
University Calculus (Early Transcendentals), 2nd Edition, by Hass, Weir, Thomas. Pearson International Edition. |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
期中考 |
30% |
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2. |
平常成績 |
40% |
含作業、小考 |
3. |
期末考 |
30% |
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週次 |
日期 |
單元主題 |
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第1週 |
9/13,9/15 |
Basic concepts, Functions |
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第2週 |
9/20,9/22 |
Limits, Continuity |
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第3週 |
9/27,9/29 |
Differentiation, Chain rule, Implicit
differentiation (Homework #1 due)
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第4週 |
10/04,10/06 |
Applications of derivatives (Quiz #1) |
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第5週 |
10/11,10/13 |
Applications of derivatives, Integration(Homework #2 due) |
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第6週 |
10/18,10/20 |
The Definite Integral, The fundamental theorem of Calculus (Quiz #2) |
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第7週 |
10/25,10/27 |
Change of variables, Applications of integrals |
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第8週 |
11/01,11/03 |
Applications of integrals (Homework #3 due) |
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第9週 |
11/08,11/10 |
Midterm, Transcendental functions |
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第10週 |
11/15,11/17 |
Transcendental functions, Techniques of integration (Homework #4 due) |
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第11週 |
11/22,11/24 |
Techniques of integration (Quiz #3) |
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第12週 |
11/29,12/01 |
Improper integrals (Homework #5 due) |
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第13週 |
12/06,12/08 |
Sequences and Infinite series (Quiz #4) |
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第14週 |
12/13,12/15 |
Tests for convergence (Homework #6 due) |
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第15週 |
12/20,12/22 |
Alternating series, Power series (Quiz #5) |
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第16週 |
12/27,12/29 |
Taylor and Maclaurin series (Homework #7due) |
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第17週 |
1/03,1/05 |
Parametric equations and Polar coordinates (Homework #8) |
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第18週 |
1/10 |
Final exam |
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