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課程名稱 |
微積分甲上
Calculus (general Mathematics) (a)(1) |
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開課學期 |
104-1 |
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授課對象 |
生物環境系統工程學系 |
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授課教師 |
黃志強 |
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課號 |
MATH1201 |
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課程識別碼 |
201 101A1 |
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班次 |
11 |
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學分 |
4 |
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全/半年 |
全年 |
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必/選修 |
必修 |
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上課時間 |
星期一6,7(13:20~15:10)星期五1,2(8:10~10:00) |
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上課地點 |
普103普103 |
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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 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1041MATH1201_11 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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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. 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
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課程目標 |
Understand "Limit,Continuity, Differentiation and Integration". |
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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 |
每週三 13:30~15:30 備註： (助教Office Hour) |
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參考書目 |
10th edition. Calculus/ Larson;Edwards;Shann |
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指定閱讀 |
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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(Midterm Exam) |
30% |
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2. |
期末考(Final Exam) |
40% |
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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%) |
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週次 |
日期 |
單元主題 |
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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 |
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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 |
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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 |
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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 |
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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) |
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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 |
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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) |
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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 |
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第9週 |
11/09,11/13 |
Midterm Exam(ch1-ch4)
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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 |
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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 |
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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
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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
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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 |
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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 |
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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 |
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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) |
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第18週 |
1/11,11/15 |
Final Exam (Ch1-Ch8)
Ending |
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