192 字
1 分钟
常微分方程课程介绍
Basic Information
82120041 / MATH1137F — Ordinary Differential Equations(1.5 学分)
- Prerequisites: Calculus I/II, Linear Algebra
- Meetings: Wed. 13:25–15:50, 201 East 2nd Bldg.
- Office Hours: Tue. 10–12, 103 East #1-B Bldg.;或预约
- Grading:
- Homework / Online:20%
- 2 Quizzes:30%
- Final Exam:50%
- Homework: 每周通过「学在浙大」提交;最低分丢弃,不接受迟交
Textbook:
Elementary Differential Equations (5th Edition) C. Henry Edwards, David E. Penney, China Machine Press, 2006
Goals and Requirements
理解常微分方程的基本概念、理论与方法:
- 对典型的一阶 ODE 和可降阶二阶 ODE 进行分类与求解
- 线性 ODE(方程组)的一般理论与特征值方法
- 简单的 ODE 建模(§3)
- ⭐ 幂级数方法基础与 Sturm-Liouville 理论(§2.8)
- ⭐ ODE 方程组的线性稳定性分析
⭐ 标记为选讲/扩展内容。
Teaching Calendar
| Week | Topics |
|---|---|
| 1–3 | Overview;Chapter 1: First-order Equations;Quiz #1 |
| 4 | Chapter 2: Linear ODEs |
| 5 | Chapter 3: Method of Power Series |
| 6 | Quiz #2;Chapter 5: Systems of LODEs |
| 7–8 | Chapter 7: Intro. to Stability |