Doctor of Philosophy in Mathematics
PROGRAM DESCRIPTION
The Doctor of Philosophy in Mathematics (PhD Math) program is a doctoral level graduate program of UP Baguio that enables students to: acquire knowledge in pure and applied mathematics; enhance their research skills to help them produce quality research output; and become 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 Mathrelated 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 research 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.
COURSE STRUCTURE
Regular PhD Mathematics Program
A threeyear program designed for students who have earned their Master of Science in Mathematics degree (or in an allied field).
Required Courses  9 units 
Electives  18 units 
Graduate Seminar  1 unit 
Qualifying Examination   
Candidacy Examination   
Dissertation  12 units 
Total  40 
Required Courses (Regular)
Course Number

Course Title

No. of Units

Math 223

Abstract Algebra II 
3

Math 237

Functional Analysis  3 
Math 240

Topological Structures  3 
Total 
9


Straight PhD Mathematics Program
A fouryear 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 
Electives  24 units 
Graduate Seminar  1 unit 
Qualifying Examination   
Candidacy Examination   
Dissertation  12 units 
Total  58 
Required Courses (Straight)
Course Number

Course Title

No. of Units

Math 221

Abstract Algebra 
3

Math 222

Linear Algebra  3 
Math 223

Abstract Algebra II  3 
Math 232

Real Analysis 
3

Math 234

Complex Analysis 
3

Math 237

Functional Analysis 
3

Math 240

Topological Structures 
3

Total 
21


Elective Courses
Courses

No. of Units

Math 213 Theory of
Differential Equations

3 
Math 214 Dynamical Systems

3 
Math 215 Introduction to Mathematical Modeling

3 
Math 216 Applied Partial Differential Equations 
3 
Math 217 Integral Equations

3 
Math 218 Introduction to
Applied Mathematics 
3 
Math 219 Delay Differential Equations

3 
Math 224 Matrix Analysis

3 
Math 225 Number Theory with Applications

3 
Math 235 Applied Complex Variable Theory

3 
Math 236 Numerical Analysis

3 
Math 238 Semigroup Theory
and Applications 
3 
Math 239 Numerical Partial Differential Equations

3 
Math 241 Algebraic Topology

3 
Math 245 Computational Topology with Applications

3 
Math 250 Modern Geometry

3 
Math 251 Differential Geometry

3 
Math 255 Applied Combinatorics

3 
Math 256 Graph Theory

3 
Math 260 Probability and Applications

3 
Math 280 Linear and Nonlinear Optimization

3 
Math 296 Selected Topics in Applied Analysis

3 
Math 297 Independent Study

3 
Math 298 Special Topics

3 
ADMISSION PROCESS
Admission in the PhD Mathematics Program requires the following:
 For those applying for admission to the regular PhD program/straight PhD program, a 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.
 For those applying for admission to the straight PhD program, a high degree of intellectual capacity and aptitude for advanced study and research in mathematics.
Documents to be Submitted for Admission:
 Application Form for admission to a graduate program (UPBGP Form No. 1, available at http://gpo.upb.edu.ph/formsfees
 Transcript of Records undergraduate and graduate work, original and two (2) photocopies. (Validity of OTR will be determined from the remarks indicated thereof.)
 Three (3) Reference Report Forms from the applicant’s immediate supervisor (1) and former professors (2)
 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 (nonEnglish): 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)
 Health Clearance (Medical Certificate)
FACULTY PROFILE
Addawe, Rizavel C.
PhD Statistics
University of the Philippines, 2018
PhD Mathematics
University of Iowa, 2019
PhD Mathematics
University of the Philippines, 2020
Peralta, Gilbert R.
CONTACT INFORMATION
Gov. Pack Road, Baguio City 2600
Tel. No, +63 (074) 4427231
Fax No. +63 (074) 4443128