离散数学哲学博士

Applications to the program must include various supporting materials including transcripts of previous collegiate study, three letters of recommendation, and scores from the general Graduate Record Examination. Scores from the mathematics subject GRE are also required. Applicants who are not native speakers of English are required to submit a TOEFL score. Personal statement, The minimum paper-based TOEFL score is 550. The minimum computer-based TOEFL score is 213, The minimum IBT-internet based TOEFL is Writing 22, Speaking 23, Reading 21, Listening 17, An acceptable IELTS score is bandwidth 7.