加州大學(xué)圣塔芭芭拉分校應(yīng)用數(shù)學(xué)

Candidates for admission to graduate programs offered by the Department of Mathematics are required to submit Graduate Record Examination (GRE) general and mathematics subject test scores. Applicants whose native language is not English, are required to take either the Test of English as Foreign Language (TOEFL) or the International English Language Testing System (IELTS) exam. Exceptions to this requirement will be considered for those students who have completed an undergraduate or graduate education at an institution whose primary language of instruction is English. The minimum TOEFL score for consideration is 550 when taking the paper-based test (PBT) and 80 when taking the internet-based test (IBT). The minimum IELTS score for consideration is an Overall Band Score of 7 or higher.

1、Real Analysis

2、Complex Analysis

3、Matrix Analysis and Computation

4、 Numerical Simulation

5、Ordinary Differential Equations

6、Chaotic Dynamics and Bifurcation Theory

7、 Partial Differential Equations

8、Fourier Series and Numerical Methods

9、Modern Algebra

10、Foundations of Topology

11、Homotopy Theory

12、Differential Topology

13、Topics in Number Theory

14、 Advanced Topics in Geometric and Algebraic Topology

1、實數(shù)分析

2、復(fù)數(shù)分析

3、矩陣分析與計算

4、數(shù)值模擬

5、常微分方程

6、混沌動力學(xué)與分歧理論

7、偏微分方程

8、傅立葉級數(shù)和數(shù)值方法

9、近世代數(shù)

10、拓撲學(xué)基礎(chǔ)

11、同倫理論

12、微分拓撲

13、數(shù)論中的主題

14、幾何與代數(shù)拓撲中的高級主題