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.

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.

Required Courses | 9 units |

Elective Courses | 18 units |

Graduate Seminar | 1 unit |

Qualifying Examination | - |

Candidacy Examination | - |

Dissertation | 12 units |

Total Units | 40 units |

Math 223 | Abstract Algebra II | 3 units |

Math 237 | Functional Analysis | 3 units |

Math 240 | Topological Structures | 3 units |

Required Courses | 21 units |

Elective Courses | 24 units |

Graduate Seminar | 1 unit |

Qualifying Examination | - |

Candidacy Examination | - |

Dissertation | 12 units |

Total Units | 58 units |

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 |

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 Combinatronics | 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 |

- 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.

- 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)

- 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.

- 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.

- 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.