課程說明
二階常微分方程於正則奇異點附近之級數解;漸近解。首階常微分方程系統;矩陣方法。存在與唯一性定理。二階非線性自治系統;質性理論。常微分方程的數值解法。
先修條件
- 先修科目:MATH 2404、MATH 2008;以及 MATH 2152 或 MATH 2107。
條件與方式
- 不予重複加給學分(Precludes additional credit for Precludes additional credit for MATH 3008 .)。
- 先修科目:MATH 2404、MATH 2008;以及 MATH 2152 或 MATH 2107。
- 每週三小時講課及一小時課堂教學。
原文參考文本
Series solutions of ordinary differential equations of second order about regular singular points; asymptotic solutions. Systems of ordinary differential equations of first order; matrix methods. Existence and uniqueness theorems. Nonlinear autonomous systems of order 2; qualitative theory. Numerical solutions of ordinary differential equations.
- Prerequisite(s): MATH 2404 , MATH 2008 ; and MATH 2152 or MATH 2107 .
- Precludes additional credit for Precludes additional credit for MATH 3008 .
- Lectures three hours a week and one hour tutorial.
來源與參考
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來源參考 : https://calendar.carleton.ca/undergrad/courses/MATH/