課程資訊
課程名稱
微積分1
CALCULUS (1) 
開課學期
110-1 
授課對象
科技管理組  
授課教師
崔茂培 
課號
MATH4006 
課程識別碼
201 49810 
班次
15 
學分
2.0 
全/半年
半年 
必/選修
必修 
上課時間
第1,2,3,4,5,6,7,8 週
星期二1,2(8:10~10:00)星期四3,4,10(10:20~18:20) 
上課地點
博雅101博雅101 
備註
本課程中文授課,使用英文教科書。密集課程。統一教學.四10為實習課.初選將直接帶入此班次的微積分2.加退選階段請自行加選微積分2.
限本系所學生(含輔系、雙修生)
總人數上限:180人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1101MATH4006_15 
課程簡介影片
 
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課程大綱
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課程概述

課程概述「微積分1」上課時間為第一週至第八週。

我們將介紹單變數函數的微分運算,和它豐富的應用。內容涵蓋極限與連續的定義,微分技巧,畫函數圖形,和極值問題等。課堂上會講解定義並推導重要定理,以培養學生邏輯推理與分析能力;同時也會強調微積分在經濟學的應用,幫助學生將微積分與自己的專業課程結合。本課程還設有習題課,學生將在助教的帶領下熟練微積分的計算。

Differentiation on functions of a single variable together with its profound applications in various subject areas are introduced in this half-semester course. Especially, this course includes the definitions of limits and continuity, techniques of differentiation, curve sketching, strategies in solving extreme-value problem and more. Definitions are discussed and the most important theorems are derived in the lectures with a view to help students to develop their abilities in logical deduction and analysis. Practical applications of Calculus Economics are emphasized in order to promote a more organic interaction between the theory of Calculus and students' own fields of study. This course also provides discussion sessions in which students are able to make their skills in handling calculations in Calculus more proficient under the guidance of our teaching assistants.  

課程目標
修完本課程學生能熟悉微積分工具,並應用在經濟學和其他專業科目。

Students would be familiar with Calculus as a tool and be able to apply it in Economics and various subjects after finishing this course.  
課程要求
修這門課以前,學生應熟練高中數學,並完成為台大新生預備的線上「微積分學前自我檢測」。
學生應出席並積極參與課堂與習題課的討論。

1. 依規定的進度看預錄之影片(如果有不懂、不清楚的地方快問老師或助教)

2.每個單元結束會有習題,看完影片後一定要作習題(如果有不會作的地方快問老師或助教)

3.習題交了以後會公佈習題解答,如果發現觀念不正確的地方,一定要立即修正、改進。

4. 學習數學最重要的是瞭解觀念、如何思考及解決問題。

Before taking this course, students should be already skilled in high school mathematics and finish the online "Pre-Calculus Self Diagnostic Test" which is designed for NTU freshmen.
Students are expected to attend and participate actively in lectures as well as discussion sessions.

1. Watch the pre-recorded video according to the prescribed schedule (if you don't understand or are unclear, please ask the teacher or teaching assistant)

2. There will be exercises at the end of each unit, and you must do exercises after watching the video (ask the teacher or teaching assistant if there is anything you can't do)

3. After the exercises are handed in, the answers to the exercises will be announced. If the concepts are found to be incorrect, they must be corrected and improved immediately.

4. The most important thing in learning mathematics is to understand concepts, how to think and solve problems. 
預期每週課後學習時數
 
Office Hours
 
指定閱讀
Textbook: James Stewart, Daniel Clegg, and Saleem Watson,
Calculus Early Transcendentals, 9th edition.

其他相關資訊
微積分統一教學網站: http://www.math.ntu.edu.tw/~calc/Default.html
台大微積分考古題: http://www.math.ntu.edu.tw/~calc/cl_n_34455.html
數學知識網站: http://episte.math.ntu.edu.tw/cgi/mathfield.pl?fld=cal
免費線上數學繪圖軟體Desmos Calculator: https://www.desmos.com/calculator
免費知識型計算引擎: https://www.wolframalpha.com 」 
參考書目
待補 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
期考 
40% 
期考 11/13(六) 15:00~17:00 (英文命題)  
2. 
統一的小考 
35% 
每次小考 50 分鐘(17:30-18:20) 三次小考,各佔總成績 12%。 三次小考加總若超過 35%,以35%計算。 
3. 
作業、平時成績 
25% 
學習單成績 6% (每份 2 %), WeBWorK 作業8%。 每週手寫作業11% 
 
課程進度
週次
日期
單元主題