Master of Science (Applied Mathematics)

Program Description:
The Master of Science (Applied Mathematics) Program, or MSAM, is designed for those seeking good
training in applied mathematics. Its curriculum is designed in such a way that graduates of this
program can either work in a research and development institution or proceed to the Institute’s
doctoral program.

Qualification:
Aside from the general requirements for admission set forth by the College of Science, applicants of
the MSAM program must have a bachelor’s degree from a recognized institution of higher learning,
and completion of Advanced Calculus and Linear Algebra courses, among others.

Placement Examination:
An admitted student may be required by the I-Math Graduate Committee to take a placement
examination. Depending upon the result, s/he may be required to complete appropriate
undergraduate remedial courses in the College.

Options for the Program:
The student may apply into the thesis option or the non-thesis option.
Tracks of the Program:
A student has to select a specific track upon application into the program. The tracks are:
Optimization & Approximation (OA), Numerical Analysis of Differential Equations (NADE),
Mathematics in Life & Physical Science (MLPS), or Mathematics of Finance (MF).

Program Requirement:
For Thesis option: 24 units of formal graduate courses, 1-unit graduate seminar, and 6 units of thesis
The thesis option requires a thesis which will have to be defended before an Examination Committee.
Submission of bound copies of the thesis will also be required.
Core Courses: Math 211, Math 220.1 and Math 271
Track Courses and Electives:
• Optimization & Approximation: Math 222, Math 280, and any 3 additional courses of
the ff: Math 288, Math 281, Math 221, Math 250, Math 271.2, or other courses upon
approval of the adviser
• Numerical Analysis of Differential Equations: Math 221, Math 271.2, and any 3
additional courses of the ff: Math 222, Math 228, Math 229, Math 224, Math 281, or
other courses upon approval of the adviser
• Mathematics in Life & Physical Science: Math 235, Math 235, and any 3 additional
courses of the ff: Math 221, Math 288, Math 271.2, Math 299, Math 250, or other
courses upon approval of the adviser
• Mathematics of Finance: Math 265, Math 266, and any 3 additional courses of the ff:
Math 250, Math 288, Stat 225, Stat 226, or other courses upon approval of the adviser
For Non-thesis option: 33 units of formal graduate courses, 1-unit graduate seminar, a preliminary
(written) examination, a qualifying (oral) examination.

Maximum Residence
The maximum residence of any student under the MSAM program is five (5) years.

Disqualification from the Program:
For Thesis option: A students is disqualified from the program if either (1) the student did not pass any
of the courses in a particular semester; (2) the student did not achieve a GWA of at least 2.0 during
the academic year; (3) the student failed the thesis defense twice; (4) absence without leave (AWOL);
or (5) the student did not finish the program within the maximum residence.
For Non-thesis option: A student is disqualified from the program if either (1) the student did not pass
any of the courses in a particular semester; (2) the student did not achieve a GWA of at least 2.0 during
the academic year; or (3) the student did not pass the preliminary examination or comprehensive
examination twice; (4) absence without leave (AWOL); or (5) the student did not finish the program
within the maximum residence.
Program of Study for Thesis option:

 

Optimization & Approximation Track

FIRST YEAR

First Semester Second Semester
Math 211 Linear Algebra Math 271.1 Numerical Analysis I
Math 220.1 Theory of Fcns of a Real Var I Elective (Allied Course)
Math 280 Linear Programming Elective (Allied Course)

SECOND YEAR

First Semester Second Semester
Math 222 Approximation Theory Math 300 (3u) Master’s Thesis
Elective (Allied Course) Math 296 Graduate Seminar

THIRD YEAR

First Semester Second Semester
Math 300 (3u) Master’s Thesis N/A

(for illustration purposes)

 

 

 

Numerical Analysis of Differential Equations Track

FIRST YEAR

First Semester Second Semester
Math 211 Linear Algebra Math 221 Partial Differential Equations
Math 220.1 Theory of Fcns of a Real Var I Math 271.1 Numerical Analysis I
Math 271.1 Numerical Analysis I Elective (Allied Course)

SECOND YEAR

First Semester Second Semester
Elective (Allied Course) Math 300 (3u) Master’s Thesis
Elective (Allied Course) Math 296 Graduate Seminar

THIRD YEAR

First Semester Second Semester
Math 300 (3u) Master’s Thesis N/A

(for illustration purposes)

 

 

 

 

Mathematics in Life and Physical Science Track

FIRST YEAR

First Semester Second Semester
Math 211 Linear Algebra Math 265 Mathematics in Population Biology
Math 220.1 Theory of Fcns of a Real Var I Elective (Allied Course)
Math 271.1 Numerical Analysis I

SECOND YEAR

First Semester Second Semester
Math 266 Mathematics in Biological Processes Math 300 (3u) Master’s Thesis
Elective (Allied Course) Math 296 Graduate Seminar
Elective (Allied Course)

THIRD YEAR

First Semester Second Semester
Math 300 (3u) Master’s Thesis N/A

(for illustration purposes)

 

 

Mathematics of Finance Track

FIRST YEAR

First Semester Second Semester
Math 211 Linear Algebra Math 271.1 Numerical Analysis I
Math 220.1 Theory of Fcns of a Real Var I Math 266 Mathematical Finance
Math 265 Stochastic Calculus Elective (Allied Course)

SECOND YEAR

First Semester Second Semester
Elective (Allied Course) Math 300 (3u) Master’s Thesis
Elective (Allied Course) Math 296 Graduate Seminar

THIRD YEAR

First Semester Second Semester
Math 300 (3u) Master’s Thesis N/A

(for illustration purposes)