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課程名稱 |
微積分4
CALCULUS (4) |
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開課學期 |
109-2 |
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授課對象 |
物理學系 |
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授課教師 |
張志中 |
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課號 |
MATH4009 |
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課程識別碼 |
201 49840 |
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班次 |
05 |
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學分 |
2.0 |
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全/半年 |
半年 |
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必/選修 |
必修 |
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上課時間 |
第10,11,12,13,14,15,16,17,18 週
星期一10(17:30~18:20)星期二6,7(13:20~15:10)星期四8,9(15:30~17:20) |
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上課地點 |
新303新303新303 |
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備註 |
本課程中文授課,使用英文教科書。密集課程。密集課程，統一教學，一10為實習課，期考於周末舉辦。
限本系所學生(含輔系、雙修生)
總人數上限：80人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1092MATH4009_05 |
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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 |
*Vector Calculus:
Line Integrals, Surface Integrals
*Sequences and Series:
Convergence Test, Power Series |
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課程目標 |
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. |
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課程要求 |
Calculus 1, 2, 3 |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
Textbook: James Stewart, Daniel Clegg, and Saleem Watson, Calculus Early Transcendentals, 9th edition. |
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參考書目 |
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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. |
期考 |
50% |
6/19(六) 09:00~11:30 |
2. |
小考1 |
20% |
暫定 第14週 |
3. |
小考2 |
20% |
暫定 第17週 |
4. |
WeBWorK作業 |
10% |
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週次 |
日期 |
單元主題 |
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第10週 |
4/26,4/27,4/29 |
4/27: 16.1 Vector Fields and 16.2 Line Integrals
4/29: 16.3 The Fundamental Theorem for Line Integrals
=============================
16.1 Vector Fields
16.2 Line Integrals
16.3 The Fundamental Theorem for Line Integrals
4/30(五) 微積分4退選截止 |
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第11週 |
5/03,5/04,5/06 |
5/04: 16.4 Green's Theorem
5/06: 16.5 Curl and Divergence
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16.4 Green's Theorem
16.5 Curl and Divergence
16.6 Parametric Surfaces and Their Areas |
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第12週 |
5/10,5/11,5/13 |
5/11: 16.6 Parametric Surfaces and Their Areas and 16.7 Surface Integrals
5/13: 16.8 Stokes' Theorem and 16.9 The Divergence Theorem
=================
16.7 Surface Integrals
16.8 Stokes' Theorem
16.9 The Divergence Theorem |
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第13週 |
5/17,5/18,5/20 |
16.10 Summary
11.1 Sequences
11.2 Series
5/21(五) 微積分4停修截止 |
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第14週 |
5/24,5/25,5/27 |
11.3 The Integral Test and Estimates of Sums
11.4 The Comparison Tests
11.5 Alternating Series and Absolute Convergence |
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第15週 |
5/31,6/01,6/03 |
11.6 The Ratio and Root Tests
11.7 Strategy for Testing Series
11.8 Power Series |
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第16週 |
6/07,6/08,6/10 |
11.9 Representations of Functions as Power Series
11.10 Taylor and Maclaurin Series
11.11 Applications of Taylor Polynomials |
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第17週 |
6/14,6/15,6/17 |
期考 6/19(六) 09:00~11:30 |
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