課程資訊
課程名稱
微積分甲上
Calculus (general Mathematics) (a)(1) 
開課學期
104-1 
授課對象
生物環境系統工程學系  
授課教師
黃志強 
課號
MATH1201 
課程識別碼
201 101A1 
班次
11 
學分
全/半年
全年 
必/選修
必修 
上課時間
星期一6,7(13:20~15:10)星期五1,2(8:10~10:00) 
上課地點
普103普103 
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:110人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1041MATH1201_11 
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課程概述

1. Limits and continuity
2. Differentiation
3. Mean-value theorem and applications
4. Integration
5. Applications of the integral
6. The transcendental functions
7. Techniques of integration
8. Polar coordinate 

課程目標
Understand "Limit,Continuity, Differentiation and Integration". 
課程要求
 
Office Hours
每週三 13:30~15:30 備註: (助教Office Hour) 
參考書目
10th edition. Calculus/ Larson;Edwards;Shann 
指定閱讀
 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
期中考(Midterm Exam) 
30% 
 
2. 
期末考(Final Exam) 
40% 
 
3. 
其他(Others) 
30% 
A.小考(Quiz)4選3(30%) or B.小考(Quiz)4選3(15%)+ 作業6選5(Homework)(15%) 加分(Bonus):出席(Attendance) (5%): 4-7(1%);8-11(2%);12-15(3%);16-19(4%); 20 up(5%) 
 
課程進度
週次
日期
單元主題
第1週
9/14,9/18  1.1 A Preview of Calculus 1.2 Finding Limits Graphically and Numerically 1.3 Evaluating Limits Analytically 
第2週
9/21,9/25  1.3 Evaluating Limits Analytically 1.4 Continuity and One-Sided Limits 1.5 In nite Limits Homework 1 (Due Date: 10/02) 1.2 #36,#64 1.3 #56,#58,#65,#72,#124 1.4 #66,#111 1.5 #23 
第3週
9/28,10/02  Mid-Autumn Festival 2.1 The Derivative and the Tangent Line Problem 2.2 Basic Di erentiation Rules and Rates of Change 
第4週
10/05,10/09  Quiz 1 (10/05)--Chapter 1 2.3 Product and Quotient Rules and Higher-Order Derivatives 10/09Double tenth day 
第5週
10/12,10/16  2.3 Product and Quotient Rules and Higher-Order Derivatives 2.4 The Chain Rule 2.5 Implicit Differentiation 2.6 Related Rates 3.1 Extrema on an interval Homework 2 (Due Date:10/23) 
第6週
10/19,10/23  3.2 Rolle’s Theorem and the Mean Value Theorem 3.3 Increasing and Decreasing Functions and the First Derivative Test 3.4 Concavity and the Second Derivative Test 3.5 Limits at Infinity 3.6 A Summary of Curve Sketching 
第7週
10/26,10/30  3.7 Optimization Problems 3.9 Differentials 4.1 Antiderivatives and Indefinite Integration 4.2 Area Quiz 2 (Chapter 2) Homework 3 (Due Date:11/02) 
第8週
11/02,11/06  4.3 Riemann Sums and Definite Integrals 4.4 The Fundamental Theorem of Calculus 4.5 Integration by Substitution 
第9週
11/09,11/13  Midterm Exam(ch1-ch4) 
第10週
11/16,11/20  5.1 The Natural Logarithmic Function: Differentiation 5.2 The Natural Logarithmic Function: Integration 5.3 Inverse Functions 5.4 Exponential Functions: Di fferentiation and Integration 
第11週
11/23,11/27  5.5 Bases Other Than e and Applications 5.6 Inverse Trigonometric Functions: Di fferentiation 5.7 Inverse Trigonometric Functions: Integration 5.8 Hyperbolic Functions Homework 4 
第12週
11/30,12/04  5.8 Hyperbolic Functions 8.1 Basic Integration Rules 8.2 Integration by Parts 8.3 Trigonometric Integrals 
第13週
12/07,12/11  8.4 Trigonometric Substitution 8.5 Partial Fractions 8.6 Integration by Tables and Other Integration Techniques 8.7 Indeterminate Forms and L’Hôpital’s Rule 
第14週
12/14,12/18  8.7 Indeterminate Forms and L’Hôpital’s Rule 8.8 Improper Integrals Quiz 3 (5.1-5.7,8.1-8.4) 6.1 Slope Fields and Euler’s Method 6.2 Differential Equations: Growth and Decay Homework 5 
第15週
12/21,12/25  6.3 Separation of Variables and the Logistic Equation 6.4 First-Order Linear Differential Equations 7.1 Area of a Region Between Two Curves 7.2 Volume: The Disk Method 
第16週
12/28,1/01  7.2 Volume: The Disk Method 7.3 Volume: The Shell Method 7.4 Arc Length and Surfaces of Revolution Homework 6 New Year's Day 
第17週
1/04,1/08  7.5 Work 7.6 Moments, Centers of Mass, and Centroids Quiz 4 (Ch1-Ch8:Formulas) Review(Ch1-Ch8) 
第18週
1/11,11/15  Final Exam (Ch1-Ch8) Ending