Doctor of Philosophy in Mathematics
Regular Ph.D. Mathematics Program
A three-year program designed for students who have earned their Master of Science in Mathematics degree (or in an allied field).
Courses Units
Required Courses 9
Electives 18
Graduate Seminar 1
Qualifying Examination -
Candidacy Examination -
Dissertation 12
Total Units 40
Straight Ph.D. Mathematics 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).
Courses Units
Required Courses 21
Electives 24
Graduate Seminar 1
Qualifying Examination -
Candidacy Examination -
Dissertation 12
Total Units 58
List of Courses in the Ph.D. Mathematics Program
Required Core Courses
Course Title Units Prerequisites
Math 221 Abstract Algebra I 3
Math 222 Linear Algebra 3
Math 232 Real Analysis 3
Math 234 Complex Analysis 3 Math 232
Math 223 Abstract Algebra II 3 Math 221
Math 237 Functional Analysis 3 Math 234
Math 240 Topological Structures 3 COI
Elective Courses
Math 213 Theory of Differential Equations 3
Math 214 Dynamical Systems 3 Math 213
Math 215 Introduction to Mathematical Modeling 3 Math 213
Math 216 Applied Partial Differential Equations 3 Math 213
Math 217 Integral Equations 3 COI
Math 218 Introduction to Applied Mathematics 3 COI
Math 219 Delay Differential Equations 3
Math 224 Matrix Analysis 3
Math 225 Number Theory with Applications 3 COI
Math 235 Applied Complex Variable Theory 3 Math 234
Math 236 Numerical Analysis 3 COI
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 255
Math 255 Applied Combinatorics 3
Math 256 Graph Theory 3 Math 255
Math 260 Probability and Applications 3
Math 280 Linear and Nonlinear Optimization 3
Math 296 Selected Topics in Applied Analysis 3
Math 298 Special Topics 3 COI; May be taken twice; May take two different special topics max.

Program Requirements


  • Core Courses
    • 27 units - MM 201, 202, 203, 220, 222, 230, 240, 291.1, and 291.2
  • Elective Courses
    • 9 units - MM 250, 290, 292, 293, 294, 295, 296, 298*, and 299
  • Comprehensive Examination

*May be taken for credit twice; student may take a maximum of two different special topics.

For more information, see the GPO website.

For older checklists, refer to the University of the Philippines Baguio website.