一、課程說明(Course Description)
<br>In this course, we shall study linear and nonlinear PDE. Linear PDE contains Laplace equations, Heat equations and Wave equations. Nonlinear PDE contains parabolic PDE especially Reaction-Diffusion equations, Conservation law etc. 
<br>Theory of linear PDE ,like Sobolov spaces and apriori estimates will be discussed. 
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<br> 二、指定用書(Text Books)
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<br>Lawrence C. Evans: Partial Differential Equations, American Mathematical Society , 1998.
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<br> 三、參考書籍(References)
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<br>F. John: Partial Differential Equations. 4th Edition. 
<br>Garabedian: Partial Differential Equations.
<br>Friz John: Partial Differential Equations
<br>Walter Strauss: Partial Differential Equations.
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<br> 四、教學方式(Teaching Method)
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<br>課堂講授及演算
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<br> 五、教學進度(Syllabus)
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<br>Part I :
<br>(1) Linear PDE: Laplace equations,Heat equations, Wave equations
<br>(2)Nonlinear first order PDE
<br>(3) Second order elliptic equations
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<br> 六、成績考核(Evaluation)
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<br>Homework 30%
<br>Midterm Exam. 35%
<br>Final Exam. 35%
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<br> 七、可連結之網頁位址
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