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National Taiwan Normal University Course Outline Spring , 2027 |
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| I.Course information |
| Serial No. | 2170 | Course Level | Master / PhD |
| Course Code | MAC0159 | Chinese Course Name | 微分方程專題（一） |
| Course Name | Topics in Differential Equations(I) | ||
| Department | Department of Mathematics | ||
| Two/one semester | 1 | Req. / Sel. | Sel. |
| Credits | 3.0 | Lecturing hours | Lecture hours: 3 |
| Teach in English | Y | Teach in National Languages | |
| Prerequisite Course | ◎1. This is a cross-level course and is available for junior and senior undergraduate students, master's students and PhD students. 2. If the listed course is a doctroal level course, it is only available for master's students and PhD students. | ||
| Comment | |||
| Course Description | |||
| Day & Class Period/Location | Fri. 2-4 Gongguan M311 | ||
| Curriculum Goals | Corresponding to the Departmental Core Goal | ||
| 1. 讓學生瞭解微分方程的理論 |
Master: 1-1 Equipped with professional mathematics competences Doctor: 1-1 Equipped with professional mathematics competences |
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| 2. 認識其他領域所推導出的方程並瞭解在數學分析的背後原始問題的意義 |
Master: 1-2 Being able to reason and induct with mathematical logic Doctor: 1-2 Being able to reason and induct with mathematical logic |
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| 3. 增進數學思維與批判性思考的能力 |
Master: 1-3 Being able to think mathematically and critically Doctor: 1-3 Being able to think mathematically and critically |
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| II. General Syllabus |
| Instructor(s) | CHERN, Jann-Long/ 陳建隆 | ||
| Schedule | |||
| (一). 常微分方程解之存在性及唯一性定理、解之延拓與最大區間、解對初值條件的連續性等。 (二). 特徵值問題及Sturm-Liouville相關理論。 (三). 相位平面(phase plane)及其應用。 |
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| Instructional Approach | |||
| Methods | Notes | ||
| Formal lecture | |||
| Grading assessment | |||
| Methods | Percentage | Notes | |
| Midterm Exam | 50 % | ||
| Final exam | 50 % | ||
| Adjustment methods for students | |||
| Required and Recommended Texts/Readings with References | 1. ‘‘Fundamentals of Differential Equations and Boundary Value Problems’’, 4th Edition, R. Kent Nagel, Edward B. Saff and Arthur David Snider. 2. Lectures on ordinary differential equations, Witold Hurewicz. |
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