課程大綱及進度表-向量分析-2018-09
向量分析 Vector Analysis
課程碼: C136300 分班碼: None 開課序號: 006 學分數: 3 核心能力
■ 掌握連續與逼進的能力
Ability to handle continuity phenomena and approximations.
□ 處理數字及符號運算的能力
Ability to operate with symbols and digits.
□ 透視形像與空間的能力
Ability to visualize space, shape, and images.
□ 利用計算機處理數學的能力
Ability of computer to do mathematics.
□ 應用隨機理論的能力
Ability to apply stochastic mathematics.
□ 處理大量數據的能力
Ability to handle large amount of data.
□ 處理離散型數學的能力
Ability to do mathematics relating to discrete models.
□ 獨立研究與撰寫論文的能力
Ability to do independent researches and to write thesis.
□ 使用計算機的能力
Abilities to use computer as a tool.
基本素養 無
--- 課程概述 Course Description
本課程學習偏微分方程的概念與基本類型以及它們的屬性。討論邊界問題，傅立葉級數，調和函數。
研究 Green 等式和 Green 函數，在空間的波，在空間及平面的邊界，一般特徵值問題，與波分佈的想 法。
We study the concepts and basic types of PDE, and their properties. Then we discuss boundary problems, Fourier Series, and Harmonic Funtions. Next we investigate the ideas of Green`s Identities and Green`s Functions, Waves in Space, Boundaries in the Plane and in Space, General Eigenvalue Problems, and Distributions.
--- 先修課程或先備能力 Prerequisite Course(s):
微積分和線性代數，計算器，數學軟體
--- 教師聯絡資訊 Contact with Teacher
開課教師：方永富 研究室：數館 210 室
e-mail：yffang@mail.ncku.edu.tw 電話：275-7575 轉 65131
授課時間：星期一 8 星期四 5~6 (3174)，
Office Hours：星期一，四：12：10-13：00
---驗 助教資訊 Contact with Tutor
本課程楊大緯助教協助研討課，負責講解作業及小考測驗 星期一、星期四 1210~1300
--- 課程學習目標 Course Objectives
We expect to grab the basic idea and concept of Vector Analysis. Then we learn various important properties of Vector Analysis from certain aspects, such as Vector Algebra, Vector Functions, Integral Theory, Curved Coordinate Systems, and Applications of Vector Analysis.
Vector Algebra, Vector Functions, Integral Theory,
Curved Coordinate Systems, Applications of Vector Analysis.
--- 課程進度 Course Outline
週次 Week 進度說明 Progress Description 1 Ch1: Vector Algebra
2 Ch1: Vector Algebra 3 Ch1: Vector Algebra 4 Ch2: Vector Functions 5 Ch2: Vector Functions 6 Ch2: Vector Functions 7 Ch3: Integral Theory 8 Ch3: Integral Theory 9 Ch3: Integral Theory 10 Ch3: Integral Theory
11 Ch4: Curved Coordinate Systems 12 Ch4: Curved Coordinate Systems 13 Ch4: Curved Coordinate Systems 14 Ch4: Curved Coordinate Systems 15 Ch5: Applications of Vector Analysis 16 Ch5: Applications of Vector Analysis 17 Ch5: Applications of Vector Analysis 18 Ch5: Applications of Vector Analysis
以上每週進度教師可依上課情況做適度調整。The schedule may be subject to change.
--- 教學方法 Teaching Strategies
方法 百分比%
講授 Lecture 70 討論 Discussion 15 報告 Presentation 15
※請遵守智慧財產權觀念 不得不法影印
Please follow the Intellectual Property instruction and No illegal copy --- 課程教材 Course Material
Lecture Notes, Homework, Quizzes ，計算器，數學軟體
--- 參考書目 References
向量分析( Chapter 1 - 5) by 林琦焜 (滄海書局)
--- 評量方式 Grading
方法 百分比%
出席 Participation: 1%
期末考 Final: 40%
口頭報告 Presentation : 29%
作業 Homework: 30%
--- 學習規範 Course Policy
1. 作業不能遲交。
2. 缺考需要醫師證明、或家長證明、或學校公假單。
3, 考試違規，報請學校處理。
--- 課程網址 Course Website:
NCKU Moodle
--- --- 備註 Remarks
課程概述 Course Description
We expect to grab the basic idea and concept of Vector Analysis. Then we learn various important properties of Vector Analysis from certain aspects, such as Vector Algebra, Vector Functions, ntegral Theory, Curved Coordinate Systems, and Applications of Vector Analysis.
Homework, problem # 4n+2,
--- 有關課程其他調查 Other Surveys of Courses
1.本課程是否規劃業界教師參與教學或演講? 否
Is there any industry specialist invited in this course? How many times? No 2.本課程是否規劃內含校外實習 (並非參訪)? 否
Is there any in (out of) school practicum involved in this course? How many hours? No ---
開課系所 Department/Institute: 應數所 MATH 開課教師 Instructor: 方永富 Fang, Yung-Fu 開課學年 Academic Year: 0106
開課學期 Semester: 2
開課序號 Serial Number: 005 課程屬性碼 Attribute Code: L1 課程碼 Course Number: C136300 分班碼 Class Code:
學分數 No. of Credits: 3
課程語言 Medium of Instruction: 中文
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