課程名稱 半無限維線性規劃(三) 預備知識 半無限維線性規劃(一) 課程目標 希望學生在修完本課程之後能更了解半無限維線性規劃的理論、算法與其應用，並能夠利用算法去解半無限維線性規劃問題。 內容簡介 主要內容 深入探討半無限維線性規劃問題，包含其對偶理論、算法及其應用，還會做一些文獻探討及計算。 選擇內容 Duality Theory、The Simplex Algorithm、文獻探討、Numerical Realization of the Simplex Algorithm、A General Three-phase Algorithm;

課程名稱 富氏分析 預備知識 分析、偏微分方程 課程目標 We expect to grab the basic idea and concept of Fourier transform and integrals and some function spaces. Also we wish students can learn some knowledge and tools that can be applied to PDE problems. Students are required to present some material in book or in paper assigned. 內容簡介 主要內容 Ch0: Background Ch1: Stationary phase Ch2: Nonhomogeneous oscillatory integral operators Ch3: Pseudo-differential operators Ch4: Half-wave operator and functions of Pseudodifferential operators Ch5: L^p estimates of eigenfunctions Ch6: Fourier integral operators Ch7: Local smoothing 選擇內容