課程名稱 |
微積分1 CALCULUS (1) |
開課學期 |
113-1 |
授課對象 |
材料科學與工程學系 |
授課教師 |
蘇瑋栢 |
課號 |
MATH4006 |
課程識別碼 |
201 49810 |
班次 |
01 |
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 星期一10(17:30~18:20)星期三6,7(13:20~15:10)星期五6,7(13:20~15:10) |
上課地點 |
普102普101普102 |
備註 |
本課程中文授課,使用英文教科書。密集課程。統一教學.一10為實習課.初選時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:130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 |
這是一門半學期的課程,主要介紹單變數函數的微分運算,和微分在各領域豐富的應用。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。課堂上將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;同時會示範微積分在各領域的應用,幫助學生將微積分與其他專業科目結合。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並完成學習單。
Differentiation on functions of a single variable together with its profound applications in various subject areas are introduced in this half-semester course. In particular, this course includes the definitions of limits and continuity, techniques of differentiation, curve sketching, strategies for solving extreme-value problems 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 in various fields are illustrated in order to promote a more organic interaction between the theory of Calculus and students' fields of study. This course also provides discussion sessions in which students are able to improve their skills in
handling calculations in Calculus and complete small projects 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,並應用在各學科。「微積分1, 2, 3, 4」將奠定學生修讀工程數學、分析、微分方程等進階課程的基礎。
Students would 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, Analysis and Differential Equations. |
課程要求 |
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。
Before taking this course, students should be skilled in high school mathematics and finish the online Precalculus Self Diagnostic Test which is designed for NTU freshmen.
Students are expected to attend and participate actively in lectures as well as discussion sessions. |
預期每週課後學習時數 |
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Office Hours |
備註: 蘇瑋栢 Wed. 16:00 - 17:00 @宇宙館407(請先 email 告知)
Lecture TA:
許哲瑋 Thu. 15:00-17:00 @天數449
鄭博允 Mon. 13:30-15:30 @天數430 |
指定閱讀 |
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參考書目 |
James Stewart, Daniel Clegg, and Saleem Watson, Calculus Early Transcendentals,
9th edition. |
評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
期末考 |
50% |
10/26(Sat.) 16:00-18:30 |
2. |
小考 |
20% |
共兩次 |
3. |
作業 |
30% |
WeBWork 10%
學習單 10%
習題 10% |
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