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課程名稱 |
物理數學
Mathematical Physics |
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開課學期 |
106-1 |
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授課對象 |
電機資訊學院 電機工程學研究所 |
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授課教師 |
江衍偉 |
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課號 |
EE5017 |
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課程識別碼 |
921 U0850 |
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班次 |
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學分 |
3.0 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期三2,3,4(9:10~12:10) |
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上課地點 |
電二102 |
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備註 |
總人數上限：20人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1061EE5017_MathPhys |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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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 |
The lectured topics in this course are as follows.
1. Finite Dimensional Vector Spaces
2. Function Spaces
3. Integral Equations
4. Differential Operators, Distributions and Green’s Functions
5. Calculus of Variations
6. Transform and Spectral Theory
7. Partial Differential Equations
8. Asymptotic Expansions |
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課程目標 |
As an extension of the engineering mathematics on linear algebra, differential equations and complex variable theory, this course introduces advanced mathematical models for investigating physical problems. The formulations of integral equations, variational equations and partial differential equations are included with emphasis on both basic concepts and solution skills. The course can provide mathematical background for graduate students majoring in electromagnetic wave, photonics, solid-state physics, communication, or control. |
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課程要求 |
Prerequisite courses:
Linear algebra, Differential equations and Complex variable theory.
Grading criterion:
Midterm exam 40%, Final exam 40%, Homework 20% |
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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 |
待補 |
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參考書目 |
教科書： J. P. Keener, Principles of Applied Mathematics, Addison-Wesley, 1988
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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第1週 |
9/13 |
Ch.1 Finite dimensional vector spaces |
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第2週 |
9/20 |
Ch.2 Function spaces |
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第4週 |
10/04 |
中秋節 放假 |
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第5週 |
10/11 |
Ch.3 Integral equations |
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第7週 |
10/25 |
Ch.4 Differential operators |
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第9週 |
11/08 |
期中考 |
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第10週 |
11/15 |
校慶 停課 |
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第11週 |
11/22 |
Ch.5 Calculus of variations |
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第13週 |
12/06 |
Ch.6 Transform and spectral theory |
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第14週 |
12/13 |
Ch.8 Asymptotic expansions |
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第16週 |
12/27 |
Ch.7 Partial differential equations |
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