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 Admission to the PhD program will require ALL of the following:

• Apply online through Â鶹¹ÙÍø Graduate School: /graduate/apply-now/apply-now.html
• Official transcripts and proof of degree (diplomas): Bachelor’s or master’s degree in any field of mathematics, science or engineering from an accredited institution in the United States, or proof of equivalent education in a foreign institution, will be considered. Documents are in a language other than English or Spanish must be accompanied by a certified English translation.
• GRE scores are valid for 5 years (please visit  for more information; Â鶹¹ÙÍø institution code 6829).
• TOEFL or IELTS scores are valid for 2 years for some international applicants: A minimum internet-based iBT of 79 (same as 550 for previous paper-based or 217 computer-based test scores) or 6.5 for IELTS is required for international applicants whose first language is not English and who have not completed a degree at a university in the U.S. or another English-speaking country. For assistantships awarded on a competitive merit basis among applicants not exempt from TOEFL, iBT scores of at least 100 are preferred. Click for a list of English language proficiency exempt countries.
• Statement of purpose (SOP): Essay written by the applicant on goals, academic and professional interests is required.
• Three letters of recommendation from people knowledgeable in the field.