Columbia University offers an exceptional environment for graduate study in applied mathematics leading Master of Science (M.S.), Master of Philosophy (M.Phil.), Doctor of Philosophy (Ph.D.) and Doctor of Engineering Science (Eng.Sc.D. or DES) degrees. The applied mathematics faculty in the Department of Applied Physics and Applied Mathematics are expert in a wide variety of application areas and perform multidisciplinary research spanning atmospheric, oceanic, and climate science; geophysics and solid-earth dynamics; waves in fluids, optics and quantum systems; imaging & image processing; inverse problems, inference and machine learning; bioinformatics & systems biology. Close collaborations exist with Columbia’s Lamont Doherty Earth Observatory and Columbia’s medical school.
1、应用数学原理
2、动力系统介绍
3、应用功能分析
4、偏微分方程
5、复变函数
6、数值方法介绍
7、偏微分方程的数值方法
8、偏微分方程分析方法
9、偏微分方程的数值分析
10、算法分析1
11、计算的复杂性介绍
12、数值算法和复杂性
13、计算学习理论
14、产业经济学
