DOCTOR OF PHILOSOPHY IN MATHEMATICS
The Doctor of Philosophy in Mathematics Program (PhD Math) is a doctoral level graduate program that enables students to acquire advanced knowledge in pure and applied mathematics. It enhances
the students’ research skills to help them produce quality research outputs and become prolific mathematicians, and future
leaders in the academic, industry and professional organizations.
PROGRAM OBJECTIVES
The Doctor of Philosophy in Mathematics Program is a doctoral
level graduate program that enables students to: acquire
advanced knowledge in pure and applied mathematics;
enhance their research skills to help them produce quality
research output; and become more prolific mathematicians,
and future leaders in academe, industry, and professional
organizations. The program will allow UP Baguio to contribute to
the urgent need to train and develop more PhD Mathematics
graduates who will go on to teach and engage in
Mathematics and Math-related research. At the end of the
program, graduates of PhD Mathematics are expected to
become competent educators and professionals who can
conduct advanced and high quality research, who are able to
review researches in their areas of specialization, and who will
help improve the quality of programs in their institutions. This will
contribute to the upgrading of tertiary and graduate
mathematics instruction and research in the Philippines.
PROGRAM LEARNING OUTCOMES
| PLOs |
Specific Program Learning Outcomes |
| PLO 1 |
Explain advanced knowledge in Algebra, Analysis, and a chosen specialized third area, including their applications in, but not limited to, the biological, physical, and social sciences, through verbal and written communication methods.
|
| PLO 2 |
Enhance research competence, leading to a high-quality research output that merits publication in a reputable journal.
|
| PLO 3 |
Produce a dissertation within a chosen specialized field containing a significant original contribution and adhering to high scholastic rigor and academic standards.
|
|
Generic Program Learning Outcome |
| PLO 4 |
Become future leaders in the academe, industries, and professional organizations.
|
A. REGULAR PHD MATH PROGRAM
A three-year program designed for students who have earned their Master of Science in Mathematics degree (or in an allied field).
| Required Courses | 9 units |
| Elective Courses | 18 units |
| Graduate Seminar | 1 unit |
| Qualifying Examination | - |
| Candidacy Examination | - |
| Dissertation | 12 units |
| Total Units | 40 units |
REQUIRED COURSES
| Math 223 | Abstract Algebra II | 3 units |
| Math 237 | Functional Analysis | 3 units |
| Math 240 | Topological Structures | 3 units |
B. STRAIGHT PHD MATH PROGRAM
A four-year program designed for students who have earned their Bachelor of Science in Mathematics degree (or in allied field) who meet certain qualifications (consult the Graduate Program Office).
| Required Courses | 21 units |
| Elective Courses | 24 units |
| Graduate Seminar | 1 unit |
| Qualifying Examination | - |
| Candidacy Examination | - |
| Dissertation | 12 units |
| Total Units | 58 units |
REQUIRED COURSES
| Course | Course Title | Prereq. |
|---|
| Math 221 | Abstract Algebra | 3 units |
| Math 222 | Linear Algebra | 3 units |
| Math 223 | Abstract Algebra II | 3 units |
| Math 232 | Real Analysis | 3 units |
| Math 234 | Abstract Algebra II | 3 units |
| Math 237 | Functional Analysis | 3 units |
| Math 240 | Topological Structures | 3 units |
ELECTIVE COURSES
| Course | Course Title | Prereq. | Units |
|---|
| Math 213 | Theory of Differential Equations | COI | 3.0 |
| Math 214 | Dynamical Systems | COI | 3.0 |
| Math 215 | Introduction to Mathematical Modeling | COI | 3.0 |
| Math 216 | Applied Partial Differential Equations | COI | 3.0 |
| Math 217 | Integral Equations | COI | 3.0 |
| Math 218 | Introduction to Applied Mathematics | COI | 3.0 |
| Math 219 | Delay Differential Equations | DE Course | 3.0 |
| Math 224 | Matrix Analysis | Math 222/Equivalent | 3.0 |
| Math 225 | Number Theory with Applications | COI | 3.0 |
| Math 235 | Applied Complex Variable Theory | Math 234 | 3.0 |
| Math 236 | Numerical Analysis | COI | 3.0 |
| Math 238 | Semigroup Theory and Applications | Math 237/COI | 3.0 |
| Math 239 | Numerical Partial Differential Equations | Math 237/COI | 3.0 |
| Math 241 | Algebraic Topology | COI | 3.0 |
| Math 245 | Computational Topology with Applications | Math 241/COI | 3.0 |
| Math 250 | Modern Geometry | None | 3.0 |
| Math 251 | Differential Geometry | Math 240/COI | 3.0 |
| Math 255 | Applied Combinatorics | None | 3.0 |
| Math 256 | Graph Theory | COI | 3.0 |
| Math 260 | Probability and Applications | None | 3.0 |
| Math 280 | Linear and Nonlinear Optimization | COI | 3.0 |
| Math 296 | Selected Topics in Applied Analysis | None | 3.0 |
| Math 298 | Special Topics (May be taken twice) | COI | 3.0 |
Qualifying Examination
A student is eligible to take the qualifying examination upon
completion of the required courses and at least six units of
electives, and with an average of 1.75 or better. The
qualifying exam will be in three areas:
(1) Algebra (Topics will come from Abstract Algebra I, II and
Linear Algebra);
(2) Analysis (Topics will come from Real Analysis, Complex
Analysis and Functional Analysis), and
(3) an area that the student may choose in consultation with
the supervisor and/or the Graduate Committee.
The third area may be chosen from any other fields covered
by the electives taken by the student.
Candidacy Examination
A Candidacy Examination will be taken by the student after
completing the required courses, the required number of units
for elective courses, and passing the Qualifying Examination.
The Candidacy Examination will consist of two parts: (1)
presentation of any scholarly and novel research output
preferably related to the thesis topic of the student and (2)
thesis proposal.
Dissertation
The dissertation is a written research output that the student will
write under the supervision of his/her adviser. The contents of
the dissertation will be the outcome of the original and
independent work done by the student, not previously
submitted in any form for a degree in any other institution or
university.
The oral defense of the dissertation may take place only when
the student has passed the Qualifying and Candidacy
Examinations.
REGULAR PHD MATH PROGRAM CHECKLIST
STRAIGHT PHD MATH PROGRAM CHECKLIST
ADMISSION PROCESS
Regular Ph.D. Mathematics Program
Master’s degree in Mathematics (respectively a bachelor’s
degree in Mathematics) is required, or any graduate degree in
an allied field, e.g. Engineering, Physics, Statistics and Computer
Science (respectively, a bachelor’s degree in the said allied
fields) subject to evaluation.
Straight Ph.D. Mathematics Program
- Graduated with honors; or
- Belongs to the top 10% of the BS Math graduating class; or
- Earned a weighed average of at least 2.0 (or equivalent) in all
higher math courses; or
- Published in a WOS/Scopus-indexed journal. The applicant
must be the sole/lead author of the publication.
The applicant must obtain a favorable endorsement of the mathematics graduate faculty after undergoing interview.
Documents to be Submitted for Admission:
- Application Form for admission to a graduate program (UPB-GP Form No. 1, available at http://gpo.upb.edu.ph/forms-fees)
- Transcript of Records undergraduate and graduate work, original and two (2) photocopies. (Validity of OTR will be determined from the remarks indicated thereof.)
- Three Reference - Report Forms from the applicant’s immediate supervisor (1) and former professors (2)
- A brief purpose for applying to the PhD Mathematics program
- Recent 2” x 2” Photo (4 copies)
- For working students: an official permit from his/her employer/supervisor indicating the maximum number of units the students is allowed to enroll.
- For married women: 2 Photocopies of Marriage Certificate
- For foreign students (non-English): passing the Test of English as a Foreign Language (TOEFL). A TOEFL score of 500 is required of an applicant whose medium of instruction in school/s attended is not English.
- Birth Certificate (2 photocopies)
FOR MORE DETAILS ON GRADUATE ADMISSION REQUIREMENTS, PLEASE VISIT THE UP BAGUIO GRADUATE PROGRAMS PAGE
RETENTION POLICIES
- A Ph.D. Math student must have an average of 2.00 or
better in all graduate courses for one academic year
(including Midyear term) in the program. A student who
cannot meet this shall be disqualified from the program.
- If, after three/four academic years, the student fails to pass
the required courses, the student will be automatically
disqualified from the regular/straight Ph.D. Math program.
- A student will be given 2 chances to pass the Qualifying
Examination. Failure on the 2nd try will disqualify the student
from the program. The second take shall be made no later
than 1 academic year.
- The university rules pertaining to Maximum Residency Rule
for graduate programs shall be applied.
TRANSFER OF CREDITS FROM ANOTHER UNIVERSITY
Subject to the recommendation of the Graduate
Committee of the department, graduate courses taken
by the student in another university may be credited for
his/her doctoral program provided that:
- The courses should have been taken within five years
prior to admission;.
- The Unit or Graduate Office validates the courses
through appropriate means; the total number of
credits transferred shall not exceed nine (9) graduate
units.
GRADUATION
To qualify for graduation, a student must satisfy the following
requirements:
- Complete a minimum of 40/58 units of formal graduate
courses for the regular and straight Ph.D. program,
respectively. These courses should be taken while the
student is enrolled in the Ph.D. program of UP Baguio.
- Pass the Qualifying and Candidacy Examinations.
- Must have a general weighted average of 1.75 or better.
- Successfully defend a dissertation.
- Submit at least three (3) bound and certified copies of the
approved dissertation and an electronic copy of the
dissertation.
- Must have a publication (or at least a proof of acceptance
of publication) in a refereed journal.
