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                深圳智學學習網 - 輕松學習拿文憑從此開始!深圳積分入戶考證快速加分!

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                2016年成人高考專升本《高等數學》必背資料(7)

                時間:2015-12-30 10:47:57作者:深圳智學學習網

                冪級數

                1、知識范圍

                (1)冪級數的概念

                收斂半徑、收斂區間

                (2)冪級數的基本性質

                (3)將簡單的初等函數展開為冪級數

                2、要求

                (1)了解冪級數的概念。

                (2)了解冪級數在其收斂區間內的基本性質(和、差、逐項求導與逐項積分)

                (3)掌握求冪級數的收斂半徑、收斂區間(不要求討論端點)的方法。

                (4)會運用麥克勞林(Maclaurin)公式,將一些簡單的初等函數展開為冪級數。

                常微分方程

                ()一階微分方程

                1、知識范圍

                (1)微分方程的概念

                微分方程的定義、階、解、通解、初始條件特解

                (2)可分離變量的方程

                (3)一階線性方程

                2、要求

                (1)理解微分方程的定義,理解微分方程的階、解、通解、初始條件和特解。

                (2)掌握可分離變量方程的解法。

                (3)掌握一階線性方程的解法。

                ()可降價方程

                1、知識范圍

                (1)型方程

                (2)型方程

                2、要求

                (1)會用降階法解型方程。

                (2)會用降階法解型方程。

                ()二階線性微分方程

                1、知識范圍

                (1)二階線性微分方程解的結構。

                (2)二階常系數齊次線性微分方程。

                (3)二階常系數非齊次線性微分方程。

                2、要求

                (1)了解二階線性微分方程解的結構。

                (2)掌握二階常系數齊次線性微分方程的解法。

                (3)掌握二階常系數非齊次線性微分方程的解法。

                (責任編輯:馬老師 )

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