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課程大綱及進度表

開課系所 資訊甲乙

開課學年 100

開課學期 2

課程名稱(中文) 微積分(二)

課程名稱(英文) Calculus II

課程碼 F715620

分班碼

先修科目或先備能力 高中數學

微積分(一)

學分數 3

開課教師 林育竹

e-mail z10008049@email.ncku.edu.tw

電話 06-2757575-65152

Office Hours By Appointment

課程概述 本學期課程包含 ch11~ch18

1.介紹數列、級數的斂散性,以及泰勒級數。

2.向量微積分。

3.多變數函數的可微分性及偏導數。

4.介紹極坐標及球面座標。

5.多變數函數的積分:二重積分及三重積分。

6.線積分及面積分

教學目標 使學生熟悉微積分的基本概念及運算, 以作

為學習工程數學的基礎及具備解決現代工程 問題的分析能力。

授課課程大綱明細 Chapter 11. Sequences; Indeterminate Forms; Improper Integrals.

Chapter 12. Infinite Series.

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Chapter 13. Vectors.

Chapter 14. Vector Calculus.

Chapter 15. Functions of Several Variables.

Chapter 16. Gradients; Extreme Values;

Differentials.

Chapter 17. Multiple Integrals.

Chapter 18. Line Integrals and Surface Integrals.

參考書目 Textbook

Salas, Hille, Etgen, Calculus - One and Several

Variables, John Wiley & Sons, Tenth edition,

2007.

Reference

1. R. Larson and B. H. Edwards, Calculus, 9th

Edition (International edition), Brooks/Cole, 2010.

2. R. T. Smith and R. B. Minton, Calculus:

Concepts & Connections, (Second Edition. )

課程要求 1. 期中考及期末考一律不得缺考。

2. 小考:

除病假(須醫師證明)及公假外,考試未到者,

該次以零分計。

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評量方式 Quiz and attendance: 20%

Midterm exam I: 25%

Midterm exam II: 25%

Final exam: 30%

課程網址 http://moodle.ncku.edu.tw/

助教資訊 http://moodle.ncku.edu.tw/

備註

參考文獻

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