The Master of Science in Mathematics program (MS Math), instituted in 2001, provides students with a firm grounding in theoretical mathematics. The curriculum includes courses that further develop in the student the ability to apply mathematical tools of analysis to problems in other disciplines like Engineering, Physics, Life Sciences, Computing Sciences, Statistics, Finance and even Social Sciences.


The program centers around achieving a balance between pure mathematics and an area of application. It aims to develop the student’s understanding of the content and the methodology of basic mathematical disciples to prepare him / her for doctoral studies, for research, for careers in industry and government and for teaching junior and senior level undergraduate mathematics courses. Its graduate curriculum is designed to allow the student an in-depth study of standard graduate courses in Analysis and Algebra, after which a choice of electives lead the student to a specialization area of mathematics as a preparation for research.


 PLOs   Specific Program Learning Outcomes 
PLO 1 Discuss advanced concepts from various fields of mathematics including, but not limited to Algebra, Analysis, and Statistics, to exhibit mastery in the different areas of mathematics.
PLO 2 Provide accurate and rigorous solutions and proofs, both verbal and written, for mathematical problems, to demonstrate deep understanding of the theory and its applications.
PLO 3 Generate new results to contribute to mathematical knowledge.
 Generic Program Learning Outcome 
PLO 4 Prepare for doctoral studies, advanced research, and careers in education, industry, and government, towards the students’ professional development and personal growth.


A student is required to take 30 units of graduate courses, and submit a Master’s thesis for defense.

Required Courses12 units
Elective Courses12 units
Thesis6 units
Total Units30 units

A student is required to make a satisfactory oral presentation of the master’s thesis, obtain a rating of ‘Passed’ from the Master’s thesis examination panel, and submit to the college 6 bound and certified copies of the approved Master’s thesis.


A student is required to take 33 units of graduate courses, pass a comprehensive examination in two (2) parts (Algebra and Analysis), and do an oral paper presentation on an area chosen by the student in consultation with at least one Mathematics faculty.

Required Courses12 units
Elective Courses21 units
Comprehensive ExaminationPassed
Total Units33 units

A student is eligible to take the comprehensive examination upon completion of 33 units of graduate courses, with a general weighted average of 2.00 or better.


CourseCourse TitlePrereq.Units
Math 221Abstract Algebra INone3.0
Math 222Linear AlgebraNone3.0
Math 232Real AnalysisCOI3.0
Math 234Complex AnalysisCOI3.0


CourseCourse TitlePrereq.Units
Math 213Theory of Differential EquationsCOI3.0
Math 214Dynamical SystemsCOI3.0
Math 215Introduction to Mathematical ModelingCOI3.0
Math 216Applied Partial Differential EquationsCOI3.0
Math 217Integral EquationsCOI3.0
Math 218Introduction to Applied MathematicsCOI3.0
Math 219Delay Differential EquationsDE Course3.0
Math 223Abstract Algebra IIMath 2213.0
Math 224Matrix AnalysisMath 222/Equivalent3.0
Math 225Number Theory with ApplicationsCOI3.0
Math 235Applied Complex Variable TheoryMath 2343.0
Math 236Numerical AnalysisCOI3.0
Math 237Functional AnalysisMath 232/Equivalent3.0
Math 238Semigroup Theory and ApplicationsMath 237/COI3.0
Math 239Numerical Partial Differential EquationsMath 237/COI3.0
Math 240Topological StructureCOI3.0
Math 241Algebraic TopologyCOI3.0
Math 245Computational Topology with ApplicationsMath 241/COI3.0
Math 250Modern GeometryNone3.0
Math 251Differential GeometryMath 240/COI3.0
Math 255Applied CombinatoricsNone3.0
Math 256Graph TheoryCOI3.0
Math 260Probability and ApplicationsNone3.0
Math 280Linear and Nonlinear OptimizationCOI3.0
Math 296Selected Topics in Applied AnalysisNone3.0
Math 298Special Topics (May be taken twice)COI3.0





Applicants for admission to the MS in Mathematics program are expected to have completed a Bachelor’s degree in Mathematics, Computer Science, Statistics, Engineering or its equivalent from a recognized institution of higher learning. A prospective student is expected to have taken Differential and Integral Calculus, a course in Linear Algebra, Introduction to Differential Equations, and an Introduction to Probability and Statistics. Students should also have a knowledge of any of the following programming languages: Matlab, Scilab, Pascal, C, Fortran, or Java. A student with some deficiencies in these admission requirements may be admitted to the program on the condition that the corresponding undergraduate course is taken.

Documents to be Submitted for Admission:

  • Application Form for admission to a graduate program (UPB-GP Form No. 1, available at
  • 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)
  • 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. Thesis Option

A student must satisfy the following requirements:
  1. Complete a minimum of twenty-four (24) units of formal graduate courses
  2. Maintain a Cumulative Weighted Average Grade (CWAG) of "2.0" or better in his/her graduate courses at the end of each academic year
  3. Successfully defend a Master's Thesis
  4. Submit at least five (5) bound and certified copies of the approved Master's Thesis.

B. Non-Thesis Option

A student must satisfy the following requirements:
  1. Complete a minimum of thirty (30) units of formal graduate courses
  2. Maintain a Cumulative Weighted Average Grade (CWAG) of "2.0" or better in his/her graduate courses at the end of each academic year
  3. Pass the Master's Comprehensive Examination

C. Additional Requirements

Additional requirements over and above these minimum University requirements and standards for the Master's Degree programs may be adopted by colleges/units for their Master's Degree programs with the approval of the appropriate bodies. A student choosing the Thesis option is encouraged o produce a pre-print paper of his thesis, where applicable.