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課程資訊

課程名稱	工程數學-微分方程(一) Engineering Mathematics-Differential Equation(Ⅰ)
開課學期	109-1
授課對象	電機工程學系
授課教師	林清富
課號	EE2021
課程識別碼	901 20130
班次	01
學分	2.0
全/半年	半年
必/選修	必修
上課時間	星期三3,4(10:20~12:10)
上課地點	博理112
備註	本系優先。總人數上限：55人
Ceiba 課程網頁	http://ceiba.ntu.edu.tw/1091EE2021_01
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課程概述	The course, Differential Equations, is a fundamental mathematics for the students in the EE department. The contents to be taught are as follows: 1. Introduction: definition and terminology 2. First-order differential equation 3. Applications of first-order differential equation 4. Differential equations of higher order 5. Applications of high-order differential equations 6. Series solution of linear equations 7. Orthogonal functions and Fourier series 8. Boundary-value problems in rectangular coordinates
課程目標	Establish the foundation of mathematics to solve advanced problems frequently encountered in the areas of engineering and physics.
課程要求	Homework 15% Midterm 42.5% Final 42.5%
預期每週課後學習時數
Office Hours	每週五 11:00~12:00 每週二 11:00~12:00 備註： TA
指定閱讀	待補
參考書目	Textbooks Differential Equations-with Boundary-Value Problem", 9th edition, Dennis G. Zill and Michael R. Cullen
評量方式 (僅供參考)

課程進度

週次	日期	單元主題
第1週	9/16	Course introduction Ch1.1 Definitions and Terminology
第2週	9/23	Ch1.2 Initial Value Problems Ch1.3 Differential Equations as Mathematical Models
第3週	9/30	Ch1.3 Differential Equations as Mathematical Models Ch2.1 Solution Curves Without a Solution Ch2.2 Seperable Equations
第4週	10/07	Ch2.3 Linear Equations Ch2.4 Exact Equations
第5週	10/14	Ch2.5 Solution by Substitution Ch2.6 A Numerical method
第6週	10/21	Ch3.1 Linear Models Ch3.2 Non-linear Models
第7週	10/28	Ch 4.1 preliminary Theory Ch 4.2 Reduction of Order Ch 4.3 Homogeneous Linear Equation with Constant Coefficients
第9週	11/11	Mid-term Exam Coverage Ch2.2~2.5 Ch3.1~3.2 Ch4.1~4.5
第18週	1/13	Final Exam Coverage Ch4.6~4.7 Ch5.1 Ch6.1~6.3 Ch11.1~11.3 Ch12.1, 12.4