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Overview
Students enrolled in the
Graduate Programme will pursue a course of study and
research leading to a Master of Science degree (M.Sc.) or a
Ph.D. degree. Admission is on a competitive basis and
preference is given to applicants who intend to pursue a
Ph.D. degree.
Applicants to the programme
may apply for
NUS Research
Scholarship or other forms of financial assistance when
applying for admission. Majority of the Department's current full-time
graduate students are given financial support.
Candidates admitted to the Graduate Programme will have the opportunity
to study and do mathematical research under the guidance and
supervision of the faculty members of the Department, whose
research interests cover most core areas of mathematics.
Graduate students are encouraged to attend and participate
in the Departmental seminars which are held regularly
throughout the academic year. They will also have ample
opportunities to interact with the numerous visiting
mathematicians from overseas institutions.
Ph.D. students who are in
their final stages of study are encouraged to participate in
overseas conferences relevant to their research areas. They
may apply for financial support for conference participation
on a competitive basis.
Admission Requirements
All successful applicants are admitted
into the Graduate Programme, leading to either a Master of Science
degree (M.Sc.) or Ph.D degree. For those who wish to pursue a Ph.D., they
must pass the
Ph.D. QE
within the stipulated duration before they can be upgraded to be Ph.D. students.
Applicants must have at least an
Honours degree or its equivalent from a reputable university. Applicants are evaluated by
several criteria including their academic records, reference letters and
research experiences.
-
TOEFL/IELTS
is required of all foreign applicants whose national language or medium of
teaching is not English, including those already working in Singapore.
-
GRE
(general test)/GATES is
required of all foreign and local applicants.
Visit the web sites of
TOEFL and
GRE to find out
the test centres near your country.
Those who are interested in
applying for this programme should sit for the above test/s early, bearing in
mind that there may be specific test dates, and the test result/s may take a
few months to reach the university. Please request ETS to send the test results
to us.
Our institution/department code is 9087/72
for TOEFL and 0677/0703 for GRE.
Application
There are two intakes in every
academic year - August and January. Apply using one
of the following modes:
An application fee of
S$20 (for online application)/ S$40 (for paper application) has to be paid with each
submission. This cannot be waived.
Application for NUS
Research Scholarship is self-contained in the application package. Please read the
instructions carefully when filling out the form.
Further
information on the scheme are available at the
Registrar's Office
website.
Closing Date
Printed application
forms and all required documents must reach the department
before the following dates. Applicants who apply through the
online portal should submit their online applications
earlier than these dates, as the printed forms and documents
must reach the department via post before these dates.
For overseas applicants:
-
15 November,
for consideration
of admission in the August term of the following
year
-
15 May,
for consideration of admission in the January term
of the following year
For
local applicants:
-
28 February,
for consideration
of admission in the August term of the following
year
-
31 July,
for consideration
of admission in the January term of the following
year
Applications that are
incomplete or received after the closing date will not be
processed.
Ph.D. Course
Requirements
For students
matriculated in 2009/2010 or later
-
Pass the
Ph.D. QE by the 24th month of their
candidatures, in order to be eligible for
admission/conversion to Ph.D. programme, and
-
Pass
MA5198 Graduate Seminar
Module in Mathematics, and
-
Pass a minimum of eight other MA modules at level 5000 or
higher with at least four of them chosen from the
Basic Module List, and
-
Obtain
satisfactory grade in Advanced English course, for foreign students
who are not exempted from it, and
-
Obtain
a
minimum
Cumulated
Average Point (CAP) of 3.50 or an
average grade of at least B,
and
-
Complete a thesis to the satisfaction of the
examination panel.
Basic Module List
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MA5203
Graduate Algebra I
-
MA5204
Graduate Algebra II
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MA5205
Graduate Analysis I
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MA5206
Graduate Analysis II
-
MA5209
Algebraic Topology
-
MA5210
Differentiable Manifolds
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MA5213
Advanced Partial Differential Equations
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MA5232
Modeling and Numerical Simulations
-
MA5233
Computational Mathematics I
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MA5241
Computational Harmonic Analysis
-
MA5243
Advanced Mathematical Programming
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MA5245
Advanced Financial Mathematics
-
MA5248
Stochastic Analysis in Mathematical Finance
Note:
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There are two components for the
Ph.D. QE,
namely the comprehensive (written) examination and the
qualifying (oral) examination. A student
has to pass both components of the
Ph.D. QE.
-
Students must pass the
comprehensive (written) examination, not
later than week 2 of the fourth semester of their
candidature,
before they are allowed to sit for the
qualifying (oral) examination.
-
Students must pass the
qualifying (oral)
examination between the 13th and 24th month of their
candidatures.
-
To be eligible to sit for the qualifying
(oral) examination,
students must have
-
passed the
comprehensive (written)
examination,
-
passed at least three of the
modules mentioned in points 2 and 3 above, and
-
obtained a minimum CAP of 3.50 on
at least two of the modules passed.
-
There are no specific eligibility
requirements for students to sit for the comprehensive
(written) examination.
-
Point 4 above is a university
requirement.
For students
matriculated from 2007/2008 to 2008/2009
-
Pass the
Ph.D. QE by the 24th month of their
candidatures, in order to be eligible for
admission/conversion to Ph.D. programme, and
-
Pass
MA5198 Graduate Seminar
Module in Mathematics, and
-
Pass a minimum of eight other MA modules at level 5000 or
higher with at least four of them chosen from the
Basic Module List, and
-
Obtain
satisfactory grade in Advanced English course, for foreign students
who are not exempted from it, and
-
Obtain
a
minimum
Cumulated
Average Point (CAP) of 3.50 or an
average grade of at least B, on the five best MA-modules mentioned in
point 3,
and
-
Complete a thesis to the satisfaction of the
examination panel.
Basic Module List
-
MA5203
Graduate Algebra I
-
MA5204
Graduate Algebra II
-
MA5205
Graduate Analysis I
-
MA5206
Graduate Analysis II
-
MA5209
Algebraic Topology
-
MA5210
Differentiable Manifolds
-
MA5213
Advanced Partial Differential Equations
-
MA5232
Modeling and Numerical Simulations
-
MA5233
Computational Mathematics I
-
MA5241
Computational Harmonic Analysis
-
MA5243
Advanced Mathematical Programming
-
MA5245
Advanced Financial Mathematics
-
MA5248
Stochastic Analysis in Mathematical Finance
Note:
-
There are two components for the
Ph.D. QE,
namely the comprehensive (written) examination and the
qualifying (oral) examination. A student
has to pass both components of the
Ph.D. QE.
-
Students must pass the
comprehensive (written) examination, not
later than week 2 of the fourth semester of their
candidature,
before they are allowed to sit for the
qualifying (oral) examination.
-
Students must pass the
qualifying (oral)
examination between the 13th and 24th month of their
candidatures.
-
To be eligible to sit for the qualifying
(oral) examination,
students must have
-
passed the
comprehensive (written)
examination,
-
passed at least three of the
modules mentioned in points 2 and 3 above, and
-
obtained a minimum CAP of 3.50 on
at least two of the modules passed.
-
There are no specific eligibility
requirements for students to sit for the comprehensive
(written) examination.
-
Point 4 above is a university
requirement.
For students
matriculated from 2004/2005 to 2006/2007
-
Pass the
Ph.D. QE by the 24th month of their
candidatures, in order to be eligible for
admission/conversion to Ph.D. programme, and
-
Pass
the Graduate Seminar
Module in Mathematics, and
-
Pass a minimum of five MA modules at level 5000 or
higher, and
-
Obtain
satisfactory grade in Advanced English course, for foreign students
who are not exempted from it, and
-
Obtain
a
minimum
Cumulated
Average Point (CAP) of 3.50 or an
average grade of at least B, on the five best MA-modules mentioned in
point 3,
and
-
Complete a thesis to the satisfaction of the
examination panel.
Note:
-
To be eligible to sit
for
Ph.D. QE, students must have
-
passed at least three of the
modules mentioned in points 2 and 3 above,
and
-
obtained a minimum CAP of 3.50 on at least two of
the modules passed.
-
Students must pass the comprehensive examination by
the 24th month of their candidatures.
-
Students must pass the oral qualifying examination
between the 13th and 24th month of their candidatures, and
only after passing the comprehensive examination.
-
Point 4 is a university requirement.
For students
matriculated in 2003/2004 or earlier
-
Pass the
Ph.D. QE no later than the third semester of their
candidatures, in order to be eligible for
admission/conversion to Ph.D. programme, and
-
Pass a minimum of four MA modules at level 5000 or
higher, and
-
Obtain
satisfactory grade in Advanced English course, for foreign students
who are not exempted from it, and
-
Obtain
a
minimum
Cumulated
Average Point (CAP) of 3.50 or an
average grade of at least B, on the four best MA-modules mentioned
in point 2,
and
-
Complete a thesis to the satisfaction of the
examination panel.
Note:
-
To be eligible to sit
for
Ph.D. QE, students must have
-
completed one semester
of study, and
-
passed at least two
of the modules mentioned in point 2 above,
and
-
obtained a minimum CAP of 3.50 on the two modules
passed.
-
Students must pass the comprehensive examination
before they are allowed to take the oral qualifying
examination.
-
Point 3 is a university requirement.
M.Sc. Course
Requirements
For students
matriculated in 2009/2010 or later
-
Pass
MA5198 Graduate Seminar
Module in Mathematics, and
-
Pass a minimum of five other MA modules at level 5000 or
higher with at least three of them chosen from the
Basic Module List, and
-
Obtain satisfactory
grade in Intermediate English course, for foreign
students who are not exempted from it, and
-
Obtain
a minimum
Cumulated
Average Point (CAP)
of 3.00 or an
average grade of at least B-, and
-
Complete a thesis to the satisfaction of the
examination panel.
Basic Module List
-
MA5203 Graduate Algebra I
-
MA5204 Graduate Algebra II
-
MA5205 Graduate Analysis I
-
MA5206 Graduate Analysis II
-
MA5209 Algebraic Topology
-
MA5210 Differentiable Manifolds
-
MA5213 Advanced Partial
Differential Equations
-
MA5232 Modeling and Numerical
Simulations
-
MA5233 Computational
Mathematics I
-
MA5241 Computational Harmonic
Analysis
-
MA5243 Advanced Mathematical
Programming
-
MA5245 Advanced Financial
Mathematics
-
MA5248 Stochastic Analysis in
Mathematical Finance
For students
matriculated from2007/2008 to 2008/2009
(Updated 31/7/2007)
-
Pass
MA5198 Graduate Seminar
Module in Mathematics, and
-
Pass a minimum of five other MA modules at level 5000 or
higher with at least three of them chosen from the
Basic Module List, and
-
Obtain satisfactory
grade in Intermediate English course, for foreign
students who are not exempted from it, and
-
Obtain
a minimum
Cumulated
Average Point (CAP)
of 3.00 or an
average grade of at least B-, on the two best MA-modules
read in (2), and
-
Complete a thesis to the satisfaction of the
examination panel.
Basic Module List
-
MA5203 Graduate Algebra I
-
MA5204 Graduate Algebra II
-
MA5205 Graduate Analysis I
-
MA5206 Graduate Analysis II
-
MA5209 Algebraic Topology
-
MA5210 Differentiable Manifolds
-
MA5213 Advanced Partial
Differential Equations
-
MA5232 Modeling and Numerical
Simulations
-
MA5233 Computational
Mathematics I
-
MA5241 Computational Harmonic
Analysis
-
MA5243 Advanced Mathematical
Programming
-
MA5245 Advanced Financial
Mathematics
-
MA5248 Stochastic Analysis in
Mathematical Finance
For students matriculated from 2004/2005 to 2006/2007
(Updated 31/7/2007)
-
Pass
the Graduate Seminar
Module in Mathematics, and
-
Pass
a minimum of two other MA modules at level 5000 or higher, and
-
Pass another two modules at level 4000 or higher -
these can be modules offered by the Departments of
Mathematics, Computational Science, or Statistics
and Applied Probability, or the School of Computing,
and
-
Obtain satisfactory
grade in Intermediate English course, for foreign
students who are not exempted from it, and
-
Obtain
a minimum
Cumulated
Average Point (CAP)
of 3.00 or an
average grade of at least B-, on the two best MA-modules
read in (2), and
-
Complete a thesis to the satisfaction of the
examination panel.
Note:
Module Substitution
Subject
to departmental approval, an M.Sc. or Ph.D. student may be allowed to substitute
up to two
MA-modules with approved non-MA-modules at level 5000 or
higher to fulfill the course work requirements.
Thesis/Dissertation
The department
no longer requires a candidate to confirm a supervisor
before registering as a graduate student. This could instead
be done after a candidate has arrived and at the university.
He/she may consult an
advisor for
graduate programmes.
Some candidates may wish to make preparations before
arrival. They could do so by looking up the department's academic staff
information on the web. They may then communicate with the
faculty via email and
seek their advice and consent.
After a supervisor has been confirmed, the student
should inform the department immediately.
Please refer to
Science Division of Graduate Studies for format of thesis/dissertation.
Candidature
Period of candidature ranges
from minimum one year to maximum of three years of study for
M.Sc. and minimum of two years to maximum of five years for
Ph.D.
Candidates admitted on NUS Research Scholarships are given
the award for the first year, and subject to the
Research Scholar’s satisfactory progress, renewable annually
up to a maximum of 1-2.5 years for Masters candidates and
3-4 years for Ph.D. candidates, as determined by the
University. Scholarship may be suspended or
terminated at any time if the candidate's performance is not
satisfactory. Refer to
NUS Research Scholarship for more details.
Duration of candidature is the same for both fulltime and
part-time studies but part-time students are not eligible to
apply for scholarship.
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