国际学生入学条件
Applicants who have conducted their post-secondary education outside of the United States must have completed an undergraduate degree program equivalent to a University of California bachelor's degree by the beginning of their graduate program at UCSB. Equivalent undergraduate degrees usually include a minimum four years of university work and above-average scholarship. The degree must be awarded by an accredited institution. To be considered for admission, you must have received a bachelor's degree or its equivalent from an accredited university prior to the quarter for which you seek admission, and have at least a B average (3.0 GPA) in your undergraduate coursework. Satisfaction of minimal standards does not, however, guarantee admission, since the number of qualified applicants far exceeds the number of spaces available. An excellent command of written and spoken English is required prior to enrollment at UCSB. Applicants whose native language is not English are required to take the Test of English as a Foreign Language (TOEFL), the International English Language Testing System (IELTS), or the Duolingo English Test (DET). TOEFL paper-based test (PBT) 550, TOEFL internet-based test (iBT) and TOEFL iBT Home Edition 80, IELTS Academic and IELTS Indicator - Overall Band Score of 7.
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雅思考试总分
7.0
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雅思考试指南
- 雅思总分:7
- 托福网考总分:80
- 托福笔试总分:550
- 其他语言考试:Duolingo English Test (DET) - 120
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申请截止日期: 请与IDP顾问联系以获取详细信息。
课程简介
Mathematical Analysis initially developed from arguments needed in the infinitesimal study of geometrical objects and physical motions. After the great success of the heroic age of differential and integral calculus, it was realized that, by focusing attention not on a single function in isolation, but rather on an appropriate class of functions, one could obtain a better understanding and an expansion of the classical theories. Thus, Functional Analysis was born about a century ago, with great benefits to several areas of modern mathematics and many remarkable applications to the natural sciences.<br><br>The faculty listed by our department as analysts are actually all functional analysts. They like to work in infinite dimensional spaces (of functions, operators, representations, dynamical systems). Among their main objectives are the solution of equations, minimization of functionals, and classification and study of algebras of operators. The numerous applications vary from classical problems of continuum mechanics and information theory to image analysis, knot theory and quantum computing. Several research seminars devoted to such subjects are organized all year around. They are attended by many of our graduate students and attract many distinguished visitors.
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