課程名稱 |
微積分1 CALCULUS (1) |
開課學期 |
111-2 |
授課對象 |
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授課教師 |
蔡國榮 |
課號 |
MATH4006 |
課程識別碼 |
201E49810 |
班次 |
01 |
學分 |
2.0 |
全/半年 |
半年 |
必/選修 |
必修 |
上課時間 |
星期一A,B(18:25~20:10) |
上課地點 |
普102 |
備註 |
本課程以英語授課。不限科系.英文授課. 總人數上限:80人 |
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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 |
課程大綱
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課程概述 |
This course will be conducted in English.
Calculus was independently founded by Issac Newton and Gottfried Leibniz to describe and study the change of functions with respect to their variables. In this course, we will introduce differentiation of functions in one (real) variable. The key topics include :
- Functions and their limits
- Continuous and differentiable functions
- Technique of differentiation
- Curve sketching
- Optimization problems
We will follow Stewart, Clegg, Watson, CALCULUS: EARLY TRANSCENDENTALS, Metric, 9th Edition closely.
You are recommended to have your own (electronic/hard) copy of the textbook because it is the key source of exercises/practices.
This is a course that emphasizes the proficiency in applying Calculus so we will aim at illuminating the subject with concrete and worked examples (rather than offering a highly theoretical point of view) and hopefully this helps you to acquire the necessary technique in Calculus more quickly.
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課程目標 |
Students will be familiar with Calculus as a tool and be able to apply it in various subjects after finishing this course. Calculus 1, 2, 3, 4 provide the basis for the study of various advanced courses like Engineering Mathematics, Mathematical Analysis and Differential Equations. |
課程要求 |
The prerequisites are high school mathematics - proficiency in trigonometry (compound angle formulas, radian measures) is expected. Prior experience with calculus is helpful but not essential. |
預期每週課後學習時數 |
After each week of lectures, you are expected to
- revise examples from the lectures,
- complete weekly non-assessed assignment. |
Office Hours |
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指定閱讀 |
Textbook: Stewart, Clegg, Watson, CALCULUS: EARLY TRANSCENDENTALS, Metric, 9th Edition (Note that this is a new edition)
This course will be supplemented by instructor's lecture notes. |
參考書目 |
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評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
Quizzes |
100% |
Quiz 1 (3/13),
Quiz 2 (4/17),
Quiz 3 (5/1),
Quiz 4 (5/22),
Quiz 5 (6/5).
Best four counts. |
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