課程資訊
課程名稱
微積分乙上
Calculus (general Mathematics) (b)(1) 
開課學期
107-1 
授課對象
牙醫學系  
授課教師
張志中 
課號
MATH1203 
課程識別碼
201 101B1 
班次
06 
學分
3.0 
全/半年
全年 
必/選修
必修 
上課時間
星期二3,4(10:20~12:10)星期四10(17:30~18:20) 
上課地點
新102新102 
備註
大二以上限20人.
限本系所學生(含輔系、雙修生)
總人數上限:140人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1071MATH1203_06 
課程簡介影片
 
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課程概述

Differential and integral calculus of one variable functions with applications.

 

課程目標
Study the process of approximation and its limitation/errors, learn the tools and techniques for analyzing regular mappings with applications, and deepen the understanding of elementary functions. 
課程要求
High School Mathematics 
預期每週課後學習時數
 
Office Hours
 
指定閱讀
待補 
參考書目
Textbook: Thomas' calculus, early transcendentals. 13th edition in SI units.
Revised by M. D. Weir and J. Hass. Pearson 2016. 東華書局/新月圖書 代理
 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
課堂小考 
20% 
暫定 
2. 
期末考 
40% 
暫定 
3. 
期中考 
40% 
暫定 
 
課程進度
週次
日期
單元主題
第1週
9/11, 9/13  2.3 The precise definition of a limit
2.2 Limit of a function and limit laws
2.4 One sided limits 
第2週
9/18, 9/20  9/18: 2.5 Continuity (including various types of discontinuity and intermediate value theorem)
9/20: 2.6 Limits involving infinity; asymptotes of graphs 
第3週
9/25, 9/27  9/25: 3.1, 3.2
9/27: 3.3 differentiation rules 
第4週
10/2, 10/4  10/2: 3.5 derivatives of trig. functions, and 3.6 the chain rule (3.4 is skipped)
10/4: 3.7 implicit differentiation 
第5週
10/9, 10/11  10/09: 3.8 exponential and logarithmic functions
10/11: quiz 1 
第6週
10/16, 10/18  10/16: 3.9 a brief introduction of inverse trigonometric functions (including their derivatives), and 3.11 linearization and differentials
10/18: absolute/relative max. and min. values, and extreme value theorem。後半小時發小考1考卷
 
第7週
10/23, 10/25  10/23: theoretical parts of 4.1 - 4.3, and L'Hopital's rule in 4.5
10/25: 4.4 concavity and curve sketching 
第8週
10/30, 11/01  10/30: more examples of curve sketching and indeterminate forms (4.4 and 4.5)
11/01: quiz 2 
第9週
11/6, 11/8  11/6: 4.6 applied optimization
11/8: 4.8 antiderivatives and 5.2 partition of an interval, and so on.
4.7 and 5.1 are skipped
 
第10週
11/13, 11/15  11/13: Definition and properties of Riemann integrals.
11/15: 校慶 
第11週
11/20, 11/22  11/20: Midterm exam.
11/22: 5.4 The fundamental theorem of calculus 
第12週
11/27, 11/29  11/27: 5.5 integration by substitution
11/29: 5.6 and 6.1 area between curves and volumes using cross-sections 
第13週
12/4, 12/6  12/4: 6.1 and 6.2 volumes by disk and shell methods
12/6: 6.3 arc length 
第14週
12/11, 12/13  12/11: separable differential equations, integration by parts
12/13: Quiz 3 
第15週
12/18, 12/20  12/18: 8.2, 8.3 (sine and cosine), and 8.5
12/20: 8.5 
第16週
12/25, 12/27  12/25: Improper integrals
12/27: Improper integrals (direct and limit comparison theorems)
 
第17週
1/1, 1/3  1/3: quiz 4 on separable differential equations, integration by parts, and integrals of rational functions

1/8: Final exam.