資料介紹

• 數學物理化學/理論科學
• 理學資料
• 大學開放視頻課程

課程介紹：
微分方程是一門表述自然法則的語言。理解微分方程解的性質，是許多當代科學和工程的基礎。常微分方程（ODE's）是關於單變量的函數，一般可以認為是時域變量。學習內容包括：利用解釋、圖形和數值方法求解一階常微分方程，線性常微分方程，尤指二階常系數方程，不定系數和參變數，正弦和指數信號：振動、阻尼和共振，復數和冪，傅立葉級數，周期解，Delta函數、卷積和拉普拉斯變換方法，矩陣和一階線性系統：特征值和特征向量，非線性獨立系統：臨界點分析和相平面圖。

導師介紹

Arthur Mattuck is a tenured Professor of Mathematics at the Massachusetts Institute of Technology. He may be best known for his 1998 book, Introduction to Analysis (ISBN 013-0-81-1327) and his differential equations video lectures featured on MIT's OpenCourseWare. Inside the department, he is well known to graduate students and instructors, as he watches the videotapes of new recitation teachers (an MIT-wide program in which the department participates).

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