TOEFL The language of instruction at Penn State is English. The Graduate School requires that non-native speakers of English demonstrate proficiency in the English Language by taking the TOEFL (Test of English as a Foreign Language) or IELTS (International English Language Testing System). This is a Graduate School requirement, and the minimum scores are: TOEFL: 550 (paper test) 213 (computer-based test) 80-19 on the speaking section (internet-based test) Applicants with iBT speaking scores between 15 and 18 may be considered for provisional admission, which requires an institutional test of English proficiency upon first enrollment and, if necessary, remedial course work. IELTS: 6.5 IELTS The language of instruction at Penn State is English. The Graduate School requires that non-native speakers of English demonstrate proficiency in the English Language by taking the TOEFL (Test of English as a Foreign Language) or IELTS (International English Language Testing System). This is a Graduate School requirement, and the minimum scores are: TOEFL: 550 (paper test) 213 (computer-based test) 80-19 on the speaking section (internet-based test) Applicants with iBT speaking scores between 15 and 18 may be considered for provisional admission, which requires an institutional test of English proficiency upon first enrollment and, if necessary, remedial course work. IELTS: 6.5

PS Personal statement of purpose. CV Resume/CV Fee A $65 nonrefundable application fee is required for degree admission and postbaccalaureate (including graduate) credit certificate programs. A $30 nonrefundable application fee is required for nondegree admission. RL At least three letters of recommendation from persons who are familiar with the applicant's qualifications to study graduate mathematics. We do not require / supply forms for letters of recommendation. We request plain text letters from recommenders. On the Graduate School application, letters are requested to be uploaded electronically. The individuals that you list will receive an email from the Graduate School with the necessary information for them to upload the documents. Transcript Electronic copies of transcripts (or equivalent documents for institutions outside the U.S.) from all post-secondary institutions attended, in the language of instruction (and official English translation if the language of instruction is not English).