MASTER OF SCIENCE IN MATHEMATICS
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.
PROGRAM OBJECTIVES
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.
PROGRAM LEARNING OUTCOMES
| 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. THESIS OPTION
A student is required to take 30 units of graduate courses, and submit a Master’s thesis for defense.
| Required Courses | 12 units |
| Elective Courses | 12 units |
| Thesis | 6 units |
| Total Units | 30 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.
B. NON-THESIS OPTION
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 Courses | 12 units |
| Elective Courses | 21 units |
| Comprehensive Examination | Passed |
| Total Units | 33 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.
REQUIRED COURSES
| Course | Course Title | Prereq. | Units |
|---|
| Math 221 | Abstract Algebra I | None | 3.0 |
| Math 222 | Linear Algebra | None | 3.0 |
| Math 232 | Real Analysis | COI | 3.0 |
| Math 234 | Complex Analysis | COI | 3.0 |
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 223 | Abstract Algebra II | Math 221 | 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 237 | Functional Analysis | Math 232/Equivalent | 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 240 | Topological Structure | 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 |
PROGRAM CHECKLIST
ADMISSION PROCESS
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 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)
- 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. Thesis Option
A student must satisfy the following requirements:
- Complete a minimum of twenty-four (24) units of formal graduate courses
- Maintain a Cumulative Weighted Average Grade (CWAG) of "2.0" or better in his/her graduate
courses at the end of each academic year
- Successfully defend a Master's Thesis
- 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:
- Complete a minimum of thirty (30) units of formal graduate courses
- Maintain a Cumulative Weighted Average Grade (CWAG) of "2.0" or better in his/her graduate
courses at the end of each academic year
- 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.
