REGULATION OF THE GRADUATE PROGRAM IN APPLIED MATHEMATICS OF THE INSTITUTE OF MATHEMATICS AND STATISTICS:

I – COMPOSITION OF THE PROGRAM COORDINATING COMMITTEE (CCP)

I.1 The CCP is composed as follows:

• Program coordinator (full advisor of the program)
• Surrogate program coordinator (full advisor of the program)
• Three full advisores linked to the accredited unit
• A student representative

I.2 Each member shall have a surrogate.

I.3 The CCP will be chaired by the coordinator of the program and, in his absence, by the surrogate program coordinator.

II – SELECTION CRITERIA

Access to the program will be done through selection processes, published in the 'Diário Oficial do Estado de São Paulo'. Periods of registration and other informations about the master's and doctoral programs are listed in the specific notices and will also be published on the program page.

II.1 Foreign language proficiency

Proficiency in a foreign language will be required after enrolling in graduate school, as item V of this Regulation.

II.2 REQUIREMENTS FOR THE MASTER DEGREE

III.2.1. The documentation required for inclusion in the selection process will appear in the 'Edital de Processo Seletivo'.

II.2.2. Registration for the selection process will be accepted for those candidates whose scientific interests - manifested in an application form - are compatible with the lines of research developed in the program.

II.2.3. The selection process consists of the analysis to be made by the Selection Committee, of the following documents:

a. Up-to-date diploma (undergraduate course);
b. Up-to-date Curriculum Vitae;
c. Text in Portuguese, English or Spanish, with a maximum of five pages, reporting academic experiences and scientific research.

II.2.4. The Selection Committee will assign a final grade for each candidate based on partial grades obtained for each document of item II.2.3, on a scale of 0 to 10. The weights of each document in the final composition of the note will be informed in the 'Edital de Processo Seletivo'.

II.2.5. Candidates who obtain a grade equal to or greater than 6.5 (six and five), the minimum passing grade, may be accepted in the program, subject to availability of the advisor and according to the number of vacancies announced in the 'Edital do Processo Seletivo'.

II.3 REQUIREMENTS FOR THE DOCTORATE

II.3.1 The documentation required for registration in the selection process will appear in the 'Edital de Seleção'.

II.3.2 Registration for the selection process will be accepted for those candidates whose scientific interests - manifested in an application form and by the breadth and depth of his dissertation - are compatible with the research lines developed in the program.

II.3.3 The selection process consists of the analysis to be made by the Selection Committee, of the following documents:

a. Up-to-date diplomae (graduation and master degree);
b. Up-to-date Curriculum Vitae;
c. Text in Portuguese, English or Spanish, with a maximum of five pages, reporting academic experience, research, publications, results not yet published or scientific projects related to the candidate.

II.3.4 The Selection Committee will assign a final grade for each candidate based on partial grades obtained for each document item II.3.3, on a scale from 0.0 to 10.0. The weights of each document in the final composition of the note will be informed in the 'Edital de Processo Seletivo'.

II.3.5 Candidates who obtain a grade equal to or greater than 6.5 (six and five), the minimum passing grade, may be accepted in the program, subject to availability of the advisor and according to the number of vacancies announced in the 'Edital do Processo Seletivo'.

II.4 REQUIREMENTS FOR THE DIRECT DOCTORATE

II.4.1 The documentation required for registration in the selection process will appear in the 'Edital de Seleção'.

II.4.2 Registration for the selection process will be accepted for those candidates whose scientific interests - manifested in an application form and by the breadth and depth of his undergraduate thesis, and/or articles, and/or master's thesis not defended or validated - are compatible with the research lines developed in the program.

II.4.3 The selection process consists of the analysis to be made by the Selection Committee, of the following documents:

a. Up-to-date diplomae (graduation);
b. Up-to-date Curriculum Vitae;
c. Graduate monograph and/or initiation research work and/or articles;

d. Text in Portuguese, English or Spanish, with a maximum of five pages, reporting academic experience, research, publications, results not yet published or scientific projects related to the candidate.

II.4.4 The Selection Committee will assign a final grade for each candidate based on partial grades obtained for each document item II.4.3, on a scale from 0.0 to 10.0. The weights of each document in the final composition of the note will be informed in the 'Edital de Processo Seletivo'.

II.4.5 Candidates who obtain a grade equal to or greater than 6.5 (six and five), the minimum passing grade, may be accepted in the program, subject to availability of the advisor and according to the number of vacancies announced in the 'Edital do Processo Seletivo'.

III – DEADLINES

III.1. The deadline for completing the master's program, including the deposit of the dissertation is 46 (forty six) months.

III.2. The deadline for completion of the doctoral program, including the deposit of the thesis, is 58 (fifty-eight) months.

III.3. The deadline for the completion of the direct doctoral program, including the deposit of the thesis, is 70 (seventy) months.

III.4. In exceptional cases, students may apply for an extension for a maximum period of sixty (60) days.

IV – MINIMUM AMOUNT OF CREDITS

V.1. For the completion of the master course the student must complete a total of 103 (one hundred and three) credits, 48 (forty-eight) credits in courses and 55 (fifty-five) credits for preparing the dissertation.

IV.2. For the doctorate (with the master degree) students must complete a total of 176 (one hundred and seventy-six) credits, forty (40) credits in courses and 136 (one hundred and thirty six) credits for the preparation of the doctoral thesis.

IV.3. For the direct doctorate (without master), the student must complete a total of 200 (two hundred) credits, 64 (sixty four) credits in courses and 136 (one hundred and thirty six) credits for the preparation of the doctoral thesis.

IV.4. For the courses of Master's degree, direct doctorate and doctorate, a maximum of six (6) special credits are allowed, as determined in item XVII - OTHER RULES of the present regulation.

V – FOREIGN LANGUAGE

V.1 Registration in Language exams is the student responsibility and must be made within three (3) months after the first enrollment in graduate school.

V.2 Students must demonstrate proficiency in English in up to 23 (twenty three) months, counting from the count start of the deadline of the course.

V.3 The English exam (for master and doctoral students) will consist of a translation of a mathematical text from English to Portuguese. For doctoral students there will also be a mathematical text to translate from Portuguese to English. These tests will be applied by the Program periodically, so that the student can meet the deadline set in V.2.

V.4 The student who failed the exam must repeat it in up to 1 (one) year after the first examination. If disapproved again, he will have a last chance to remake it before the deadline for approval (23 months).

V.5 Alternatively students can demonstrate proficiency in English by showing a proof of results at the International English Language Test - IELTS (with a minimum of 5.5 points for the master and 6.0 points for the doctorate) or in tests similar to this one.

V.6 Students who can prove approval (minimum C for the master and B for the PhD) in the courses 'Leitura de Textos e Inglês para Leitura de Textos II', or similar subjects, in two semesters, of the Faculty of Philosophy, Letters and Human Sciences at the University of São Paulo, will also be considered proficient in English.

VI – DISCIPLINES

VII – CANCELLATION OF DISCIPLINE CLASSES

VII.1. The cancellation of a discipline class may occur by the request of the lecturer or on the initiative of the CCP for the following reasons:

I. No students enrolled in the class;

II. Force majeure, with due evidence.

VII.2. In the case of the request of the lecturer, the decision is up to the CCP.

VII.3. The cancellation must occur before the start of classes.

VIII - QUALIFICATION EXAM (EQ)

VIII.1. Master's degree

VIII.1.1 – The objective of the master's qualification examination is to ensure that the candidate has a general training that qualifies him for teaching in higher education. It consists of an oral examination of about 90 minutes, based on the contents of three basic disciplines chosen by the student, with the consent of his supervisor, within the following list:

MAP-5711 - Ordinary Differential Equations;

MAP-5712 - Partial Differential Equations;

MAP-5729 - Introduction to Numerical Analysis;

MAT-5714 - Analytic Functions;

MAT-5721 - Introduction to Functional Analysis;

MAT-5751 - Differential Geometry;

MAP-5747 - Nonlinear Optimization.

VIII.1.2 – Among the three disciplines that define the examination it is required to choose two of Ordinary Differential Equations, Partial Differential Equations and Introduction to Numerical Analysis.

VIII.1.3 – Each of these disciplines represents a list of topics, specified and published by the CCP. For the definition of the examination, the candidate randomly chooses 2 (two) topics of the program of each of the previously selected discipline. The examination must occur between 2 (two) and 6 (six) weeks after the draw.

VIII.1.4 – The deadline for the student to enroll in the Qualifying Examination is up to 23 (twenty three) months after the program began. The examination must be carried out within 60 (sixty) days after the date of registration.

VIII.1.5 – Students who fail the Qualifying Examination may repeat it only once, with the registration for the new test to be performed on up to 120 (one hundred and twenty) days after the first examination and the new examination be carried out within 60 (sixty) days after enrollment. In this case, the chosen subjects should not be modified, whereas the topics will be chosen randomly again.

VIII.1.6 – The student need not complete the minimum credits required for the disciplines to pass the exam.

VIII.1.7 – The CCP will indicate the examining committee for the master's qualification exams, which shall consist of three members and two surrogates, all holder of the title of doctor.

VIII.2. Doctorate

VIII.2.1 – The goal of the qualifying examination for the doctorate is to assess the candidate's maturity in their field of research and supplement its orientation to the final stage of the program.

II.2.2 – The application for registration for the exam must be accompanied by a succinct thesis project ("research project"), containing at least a clear description of the area and the problems to be addressed, as well as a list of relevant references and a suggestion of names for to the composition of the examining committee, established by the advisor.

VIII.2.3 – The deadline for enrollment for the qualifying examination for the doctorate is up to 29 (twenty nine) months and the examination must be conducted within 60 (sixty) days after the date of registration. The student who fails in this Qualifying Examination may repeat it only once, and the registration for the new test must be performed on up to 120 (one hundred and twenty) days after the first examination and the new examination must be carried out within 60 (sixty ) days after enrollment.

VIII.2.4 – The student need not complete the minimum credits required for the disciplines to pass the exam.

VIII.2.5 – The CCP will indicate the examining committee for the qualifying exams for the doctorate, which shall consist of three members and two surrogates, all holder of the doctor's title.

VIII.3 Direct doctorate

VIII.3.1 – The aim of the qualifying examination for the direct doctorate is the same as for the doctorate's examination and the examination is carried out in the same way as for the doctorate.

VIII.3.2 – Only the student who has passed the basic test described in item XIII.1 of this regulation, can register for the qualifying exam of the direct doctorate.

VIII.3.3 – The deadline for enrollment for the Qualifying Examination of the direct doctorate is up to 35 (thirty five) months and the examination must be conducted within 60 (sixty) days after the date of registration. The student who fails in this Qualifying Examination may repeat it only once, and the registration for the new test must be performed on up to 120 (one hundred and twenty) days after the first examination and the new examination must be carried out within 60 (sixty ) days after enrollment.

IX – TRANSFER OF THE CONCENTRATION AREA OR COURSE

Transfers of the credits already obtained can be from the Master to the Direct Doctorate, from the Direct Doctorate to the Master or from the Direct Doctorate to the Doctorate.

IX.1 TRANSFER OF THE MASTER TO THE DIRECT DOCTORATE

IX.1.1 The request must be made by the accredited supervisor to guide doctoral theses in the program, with the agreement of the master student and his current supervisor, if he is different from the requester. The request must be sent to the CCP along with a research project, with a maximum period of 18 (eighteen) months from the first registration in the program. The CCP will appoint a rapporteur to issue a detailed opinion based on the submitted research project and on the academic performance of the student.

IX.1.2 After the change of the course the student must provide evidence of proficiency in a foreign language (English) at a level compatible with the Doctorate, according to item V of this Regulation, as well as register for the completion of the Qualifying Examination, according to established criteria and deadlines in item VIII of this Regulation.

IX.1.3 The decision on the passage from the master to the direct doctorate, taken by the CCP, will be forwarded to the CPG for approval.

IX.2 TRANSFER FROM DIRECT DOCTORATE TO MASTER.

IX.2.1 The direct doctorate student may request a transfer to the master degree, with consent of the supervisor, in which case he must send to the CPC a master's dissertation project. The request must be made up to a maximum of 22 (twenty-two) months from the first registration in the program.

IX.2.2 After the change of the course the student must register for the completion of the Master's Qualification Exam, according to criteria and deadlines set out in Regulation VIII of this regulation.

IX.2.3 The decision on the passage from the direct doctorate to the master degree, taken by the CCP, will be forwarded to the CPG for approval.

IX.3 TRANSFER FROM THE DIRECT DOCTORATE TO THE DOCTORATE

IX.3.1 Students enrolled in the direct doctoral program, who have passed a request for a master's degree equivalence under USP after his enrollment in the Direct Doctorate, can make this request.

IX.3.2 The request must be made by the student interested in the transfer, with the agreement of the current supervisor and should be sent to the CCP with the maximum period of 18 (eighteen) months from the first registration in the program. A copy from the master's degree must accompany this request (with national validity or validity obtained within USP).

IX.3.3 After the change of the course the student should observe the new deadline for the completion of the Doctoral Qualifying Exam, according to criteria established in section VIII of this Regulation.

IX.3.4 The decision on the passage from direct doctorate to doctorate will be forwarded to the CPG for approval.

X – UNSATISFACTORY ACADEMIC AND SCIENTIFIC PERFORMANCE

The student may be revoked according to motives expected in Article 49 of the post-graduation statute, due to poor academic and scientific performance.

XI – SUPERVISORS AND COSUPERVISORS

XII – PROCEDURES FOR THE DEPOSIT OF THE DISSERTATION/THESIS

XII.1 The final work of the masters degree course will be in the form of a dissertation, containing the following items:

• Cover with the work's title, author's name, area of concentration, standard text stating to be a dissertation presented to the IME-USP to obtain a master's degree, advisor's name and date;

• Title and abstract in Portuguese and English;
• Summary;

• List of figures and list of tables, if applicable;

• Content;
• Bibliography;

• Attachments, if applicable.

XII.2 The final work of the doctorate or direct doctorate course will be in the form of a dissertation, containing the following items:

• Cover with the work's title, author's name, area of concentration, standard text stating to be a dissertation presented to the IME-USP to obtain a master's degree, advisor's name and date;

• Title and abstract in Portuguese and English;
• Summary;

• List of figures and list of tables, if applicable;

• Content;
• Bibliography;

• Attachments, if applicable.

XII.3 The deposits of the doctoral and master's theses are the responsibility of the students and should be made at the secretariat of the CPG, after the fulfillment of the procedural requirements, through formal approval of the advisor, until the end of the expedient of the last day of the deadline, with the following documentation:

a. A printed copy of the thesis / dissertation following the pattern of this Regulation;
b. An electronic version of the thesis / dissertation, corresponding to the printed copy delivered in pdf format. This electronic version will be sent to the reviewers.
c. Authorization form for availability in the Digital Library of USP;

d. Deposit formular;
e. Formular for a proposition of a Judging Committee;

f. Thesis/ dissertation data formular.

g. Job Summary in format DOC or TXT.

XII.4 In addition to chairing the jury of the defense of dissertations and theses, the supervisor, or cosupervisor, will participate as a voting member of the committee.

XII. Upon request of the supervisor and agreement of the CCP, the CPG may authorize the participation of observers in the public session of dissertation or thesis defense through video conferencing or other electronic support distance or equivalent.

XIII – ADDITIONAL FORMS OF EVALUATIONS OF STUDENTS

XIII.1 basic examination for direct doctoral students

XIII.1.1 The aim of the basic examination is to ensure that the direct doctoral students have general training that qualifies them for teaching in higher education, with requirements equivalent to the qualifying exam for master degree. This examination consists of an oral examination of about 90 minutes, based on the contents of three basic disciplines chosen by the student, with the consent of his supervisor, within the following list:

MAP-5711 - Ordinary Differential Equations;

MAP-5712 - Partial Differential Equations;

MAP-5729 - Introduction to Numerical Analysis;

MAT-5714 - Analytic Functions;

MAT-5721 - Introduction to Functional Analysis;

MAT-5751 - Differential Geometry;

MAP-5747 - Nonlinear Optimization.

- Among the three disciplines that define the examination it is required to choose two among Ordinary Differential Equations, Partial Differential Equations and Introduction to Numerical Analysis.

XIII.1.2 - To each of these disciplines corresponds a list of topics, specified and published by the CCP. For the definition of the program of the examination, the candidate randomly chooses two (2) program topics of each of the previously selected discipline. The examination must occur between two (2) and six (6) weeks after the draw.

XIII.1.3 - The deadline for the student to enroll in the basic examination is up to twenty (20) months after the program began. The examination must be carried out within 60 (sixty) days after the date of registration.

XIII.1.4 - The student who fails the basic exam may repeat it only once, with the registration for the new test to be performed on up to 120 (one hundred and twenty) days after the first examination and the new examination to be carried out within sixty (60) days after enrollment. In this case, the chosen subjects should not be modified, whereas the topics should be drawn again.

XIII.1.5 - The student need not complete the minimum credits required for the disciplines to pass the exam.

XIII.1.6 - The CCP will indicate the examining committee for the basic examination of direct doctorate, which shall consist of three members and two alternates, all holder of the doctor's title.

XIV – WRITTEN EVALUATION IN THE JUDGMENT OF THE DISSERTATIONS AND THESIS

XV – LANGUAGES ALLOWED FOR THE REDACTION AND THE DEFENCE OF THE DISSERTATIONS AND THESIS

All dissertations and theses should contain title, abstract and keywords in Portuguese and English. These may be written and defended in one of these two languages.

XVI – CLASSIFICATION OF TITLE

XVI.1 The Master's student who fulfills all course requirements will receive the title of Master of Science. Post-Graduation program in Applied Mathematics.

XVI.2 The Doctoral student who fulfills all course requirements will receive the title of Doctor of Science. Post-Graduation program in Applied Mathematics.

XVII – OTHER NORMS

XVII.1. SPECIAL CREDITS

XVII.1.1 Six (6) credits at most may be granted as special credits, both for the Master, and for the Doctorate and the Direct Doctorate.

XVII.1.2 Credits may be awarded for the participationof the student in a scientific event with a paper presentation (two (2) credits per event), or by publishing an article authored by the student, related to their thesis or dissertation in a peer-reviewed journal (4 (four) credits), or by the participation in the PAE program (two (2) credits per semester).