課程名稱 |
微積分乙上 Calculus (general Mathematics) (b)(1) |
開課學期 |
104-1 |
授課對象 |
生命科學系 |
授課教師 |
張樹城 |
課號 |
MATH1203 |
課程識別碼 |
201 101B1 |
班次 |
09 |
學分 |
3 |
全/半年 |
全年 |
必/選修 |
必帶 |
上課時間 |
星期二1(8:10~9:00)星期四8,9,10(15:30~18:20) |
上課地點 |
共201共201 |
備註 |
大二以上限20人.四10為實習課. 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/1041MATH1203_09 |
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 |
課程大綱
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課程概述 |
1. History of calculus and some elementary prerequisites in analytical geometry and algebra.
2. Concept of infinitesimal and the concept of differentiation.
3. Differentiability and Continuity. First order approximation of a function value near a known function value.
4. Differentiation rules, arithmetic rules, and chain rule of elementary functions. Differentiation of inverse function.
5. Roll’s theorem, mean value theorem, intermediate value theorem.
6 Graphing of rational functions, trigonometric and inverse functions.
7. Extrema problems of continuous and differentiable functions. Applications of this extremal calculus.
8 Implicit differentiation of functions. How to locate the tangent line to a conics.
II. Integration
9.Partition and integration of a continuous function, upper and lower sums,Riemann sums to prove arithmetic laws of integration. Fundamental theorem of calculus.
10. Elementary indefinite integrals of elementary functions. |
課程目標 |
Understand the use of infinitesimals, derivatives and integrations of functions and numerical methods in approximating a solution. The skills in calculus as a preparatory discipline in application to other field. Understand the value of a differential equation in treating problems in natural phenomena |
課程要求 |
1. Take notes
2. quiz
3. midterm exam and final |
預期每週課後學習時數 |
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Office Hours |
另約時間 |
指定閱讀 |
書名:Calculus( 10th)
作者:Ron Larson and Bruce Edwards |
參考書目 |
書名:Calculus( 10th)
作者:Ron Larson and Bruce Edwards |
評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
Quiz+HK |
30% |
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2. |
Midterm |
30% |
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3. |
Final |
40% |
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