MS Mathematics

Overview

The MS degree Programme in Mathematics at Lahore University of Management Sciences is designed to prepare students for professional careers in industry and academia. The curriculum is intended for individuals with a strong background in Mathematics.

This Programme aims at providing a rigorous introduction to graduate-level Mathematics. Our MS Programme primarily trains the students to acquire a sound foundation in mathematical sciences to continue to a doctorate in Mathematics. This Programme is also of interest to the graduate students across many disciplines such as Engineering, Computer Science, Physics, Economics, and others who have a need for advanced training in Mathematics.

Our curriculum includes Algebra, Analysis, Algebraic Geometry, Algebraic Topology, Computational and Mathematical Biology, Ordinary and Partial Differential Equations, Computational Modelling and Simulation, Mathematical Finance, Optimization and Numerical Analysis.

* The medium of instruction at LUMS is English for all degree programmes offered. Assessments are accepted in English only.

Note:

Generous Financial Aid and Scholarships available for qualified students.

Structure

The Mathematics Department offers MS degree in the areas of Pure Mathematics and Applied Mathematics. In both areas, students are required to do thesis research.

Credit hours requirement for core courses = 15.

Credit hours requirement for Elective courses = 15

Students can take at most 2 elective courses from other departments and schools, subject to the approval of the graduate committee of the mathematics department.

The course structure for MS in Mathematics is given in below tables.

Course requirements for MS in Mathematics

Sr. #	Category	Course Code	Course Name	Credit Hours
1	Core Courses (Pure Mathematics)	MATH 404 / MATH 501	Real Analysis/Mathematical Analysis	3
2		MATH 521	Advanced Algebra	3
3		MATH 407 / MATH 507 OR MATH 523	General Topology and Advanced General Topology OR Elements Algebraic Geometry	3
4		MATH 509A	MS Thesis I	3
5		MATH 509B	MS Thesis II	3
1	Core Courses (Applied Mathematics)	MATH 404/ MATH 501	Real Analysis/ Mathematical Analysis	3
2		MATH 541	Advanced Numerical Analysis	3
3		MATH 412/MATH 513	Partial Differential Equations/ Advanced Partial Differential Equations	3
4		MATH 509A	MS Thesis I	3
5		MATH 509B	MS Thesis II	3
1	Elective Courses	MATH 437 / MATH 535	Applied Stochastic Processes/Advanced Applied Stochastic Processes	3
2		MATH 505	Advanced Functional Analysis	3
3		MATH 542	Probability with Measure Theory	3
4		MATH 451 / MATH 552	Graph Theory/Advanced Graph Theory	3
5		MATH 533	Mathematical Models Biology	3
6		MATH 414 / MATH 514	Symmetry Methods for Differential Equations / Symmetry Methods, Conservation Laws and Exact Solutions for Differential Equations	3
7		MATH 436	Advanced Statistical Analysis	3
8		MATH 426 / MATH 523	Computational Algebra and Algebraic Geometry	3
9		MATH 4313 / MATH 536	Theoretical Statistics	3
10		MATH 462 / MATH 512	Dynamical Systems	3
11		MATH 406 / MATH 506	Calculus of Manifold/Manifold and Differential Forms	3
12		MATH 507	Advanced General Topology	3
13		MATH 534	Optimization Techniques	3
14		MATH 601	Best Approximation	3
15		MATH 4311	Scientific Computing	3
16		MATH XXX	Advanced Topics in Numerical Analysis	3
17		MATH XXX	Spectral Graph Theory	3
18		MATH XXX	Advanced Partial Differential Equations	3
19		MATH XXX	Matrix Computation	3
20		MATH XXX	Approximation Theory	3
21		MATH XXX	Enumerative Combinatorics	3
22		MATH XXX	Advanced Topics in Differential Geometry	3

Important Dates

MS (Computer Science / Electrical Engineering / Mathematics / Physics / Biology / Chemistry)

Activity	Date
Online Application Deadline (PST)	01 Apr 2020	05:00 pm
Deadline to submit supporting documents	02 Apr 2020
Online Application Deadline (PST) -- LUMS UG Continuing Students	01 Apr 2020	05:00 pm
Deadline to submit supporting documents - LUMS UG Continuing Students	02 Apr 2020
LGAT & SBASSE Subject Test for MS/PhD	12 Apr 2020
Deadline to take GRE	12 Apr 2020
Admission decisions	01 Jul 2020 to 31 Jul 2020

Notes:

The University reserves the right to change dates and deadlines for admissions. Please keep informed of any changes by visiting www.lums.edu.pk periodically as well as the LUMS online application site.

Minimum Eligibility Criteria for Fall 2020 Admissions

Applicants must meet the minimum eligibility criteria in order to be considered for admission to the Graduate Programme.

The Syed Babar Ali School of Science and Engineering (SBASSE) offers MS Programme in Mathematics of two years’ duration.

Admission is purely merit-based and rests solely on the following criteria:

Academic record;
Performance in the Admission Tests;
Completed and submitted application form and supporting documents by the stipulated deadline;
Interview Performance (if called)

Note:

This is the minimum criteria that applicants need to fulfil in order to be eligible to apply. Fulfilment of this criteria does not guarantee admission to LUMS.

Academic Requirements for Fall 2020 Admissions

A minimum of 16 years of education is required for applying to the MS Programme in Mathematics.

Applicants are expected to have obtained their Bachelor’s (or Master’s) degree from the National or Foreign institutions that are accredited or recognized by the Higher Education Commission (HEC), Pakistan. Applicants who have obtained their degrees from institutions that are not listed with the HEC, Pakistan, will be required to obtain an Equivalence Certificate from the HEC. For further information, please visit: www.hec.gov.pk.

As a minimum academic performance, all applicants must have a CGPA of at least 2.4 (on a scale of 4) or at least 60% marks in all university-level degrees (i.e. 4 years Bachelor’s degree or 2 years BSc. degree and 2 years MSc. degree).

Applicants applying to the MS Programme in Mathematics must have their Bachelor’s (or Master's) degree in any one of the following areas:

Mathematics
Statistics
Physics
Any other closely related disciplines determined by Mathematics Graduate Committee.

Note:

Applicants completing their last degree by June 30, 2020 are also eligible to apply for MS Programme if they are meeting all minimum admission requirements at the time of submission of application.

Please note applicants need to provide the final official transcript by June 30, 2020 or they will not be considered for admission in MS Programme.

Admission Eligibility Criteria for LUMS SBASSE Continuing Students

BS - MS Programme

LUMS BS students graduating in 2020 from SBASSE with a Subject CGPA (SCGPA) of ≥ 3.0 in their BS degree are eligible to apply.

Following are the application categories:

SBASSE students who have obtained a Subject CGPA (SCGPA) of ≥ 3.0 in their BS degree are exempted from the LUMS Graduate Admissions Test (LGAT) and LUMS SBASSE Subject Test.
The application submission deadline for this category of students is April 01, 2020. Please note that the exemption from the LGAT and LUMS Subject test will only be granted if the SCGPA ≥ 3.0 requirement is met at the time of application submission.
Please visit the following link to apply for this Programme: https://admissions.lums.edu.pk
SBASSE students who have obtained a Subject CGPA (SCGPA) of ≥ 3.0 (at the time of application submission) in their BS degree applying across departments will be required to take the SBASSE Subject Test in the subject they want to pursue their MS in.
The application submission deadline for this category of students is April 01, 2020. The LUMS Graduate Admissions Test (LGAT) is waived off for this category of students but they must successfully register for LUMS SBASSE Subject Test through LUMS Online admission system on or before April 01, 2020.

Please note that the exemption from the LGAT will only be granted if the SCGPA ≥ 3.0 requirement is met at the time of application submission.

Note:

SBASSE students with a SCGPA of < 3.0 must take LGAT and SBASSE Subject Tests. They are expected to apply through the regular admission process. The application submission deadline for this category of students is April 01, 2020.

Please visit the following link to apply https://admissions.lums.edu.pk.

Admission Test Requirement for Fall 2020 Admissions

a. Local Applicants

Applicants to the MS Programme in Mathematics are required to take following two (2) admissions tests in order to be considered for Fall 2020 admission:

LUMS Graduate Admission Test (LGAT); and
LUMS SBASSE Subject Test in Mathematics

Please visit the following link to apply https://admissions.lums.edu.pk.

Exemption for applicants who have taken Graduate Record Examination (GRE) Tests

Applicants who have taken the Graduate Record Examination GRE (General) (through the Educational Testing Service (ETS) USA) during the last two (2) years (i.e. after April 01, 2018) and obtained an aggregate score of 300 in the quantitative and verbal sections may choose not to take the LGAT.
Applicants who have taken the GRE Subject Test in Mathematics (through the Educational Testing Service (ETS) USA) during the last two (2) years (i.e. after April 01, 2018) and obtained a score at the 60th percentile or above may choose not to take the SBASSE Subject Test in Mathematics.

b. International Applicants

Applicants residing outside Pakistan are required to take following two (2) admissions tests in order to be considered for Fall 2020 admission:

GRE - General Test; and
GRE - Subject Test in Mathematics

For GRE registration, please visit www.ets.org.

GRE scores must be reported to LUMS officially from the testing agency. The college code for reporting GRE (General) and GRE Subject Test scores to LUMS is 0679.

Note:

LUMS Graduate Admission Test (LGAT) is comprised of Quantitative, Verbal, and Analytical sections.
The LUMS Graduate Admission Test (LGAT) and the SBASSE Subject Test in Mathematics for Fall 2020 admission will be held ONLY ONCE on April 12, 2020.
LGAT and SBASSE Subject Test Scores will be valid only for One (1) academic year.
The LGAT and SBASSE Subject Test scores will be used for application evaluation, hence will not be disclosed to applicants.

Subject Test Guidelines:

Please visit the following link; Subject Test Guidelines

Supporting Documents Requirement for Fall 2020 Admissions

Applicants must complete and submit their online application form on or before April 01, 2020; 5:00 pm (PST). The application form can be accessed online at http://admissions.lums.edu.pk. In addition, all applicants are required to submit all supporting documents to the LUMS Admissions Office on or before April 02, 2020.

Application Processing & LUMS Test Registration fee (if applicable)

The application processing fee of Rs. 1200 (SBASSE MS/PhD Programmes).
LGAT & LUMS SBASSE Subject Test Registration Fee of Rs. 1000 (SBASSE MS/PhD Programmes).
The application processing fee of $81 for International applicants (SBASSE MS/PhD Programmes).
The application processing and LGAT & LUMS SBASSE Subject Test Registration Fee of $89 for International applicants (SBASSE MS/PhD Programmes).

Payment Procedure

After the successful submission of the online application form through the LUMS Online account on or before the application submission deadline, applicants will be able to print a system generated Application Processing and LUMS Test Registration (if applicable) Fee payment voucher. For further details regarding Fee payment options Click here

Proof of Payment

A stamped copy of the payment voucher or a confirmation email of an online banking transaction constitutes proof of payment. Applicants are required to send a copy of payment proof along with all other required supporting documents as ONE package on or before the stipulated deadline.

Applicants must print and paste the “Mailing label” on the envelope before sending it to the LUMS Office of Admissions. Applications or documents received after the stipulated deadline will not be processed.

Interview Performance

Shortlisted applicants may be called for an interview.

FAQs

What are the admission requirements for MS Programme?

Please visit the following link for the minimum eligibility criteria; https://admission.lums.edu.pk/graduate-programmes

Do you require any test for admission to the MS Programme?

Please visit the following link for admission test details; https://admission.lums.edu.pk/testing

How can I submit the application processing and test fee (if applicable)?

After the successful submission of the online application form you will be able to print a system generated Application Processing and LUMS Test Registration (if applicable) Fee payment voucher. Please print the fee voucher for making payments at Allied Bank Branches throughout Pakistan. The voucher can be paid:

Online, immediately by visiting https://admission.lums.edu.pk/student-payment-options-0 or

In cash by presenting the payment voucher along with the requisite amount at any Allied Bank branch throughout Pakistan.

By which date should applicants expect their Test Registration Cards to be delivered?

Test Registration Cards and instructions will be posted to the applicants' secure online application account and an email message will alert applicants that the Test Registration Card has been posted. It will be posted on applicants' online account one week before the test date.

I have submitted my online application & all required documents on time but I am unable to view my Test Registration Card?

If an applicant is unable to view his/her Test Registration Card despite completing all the requirements then he/she can write to us at helpdeskao@lums.edu.pk.

I have not yet received any confirmation email after the submission of my online application. What should I do?

You should recheck the completion and proper submission of your online application.

Is it possible to apply after the deadline?

Applications submitted after the deadlines are not accepted.

How do I inform about a change in the online application?

It is highly recommended to fill out the application form carefully. No changes can be made after the submission of online application. In sheer need an applicant can send the updated information to helpdeskao@lums.edu.pk with the specific header "Change in Application Form".

I have received my transcripts for Bachelor's/Master's but I do not have the degree. What should I do?

You should submit all your transcripts latest by the document submission deadline. Copy of your degree can be submitted later.

Is financial aid available for MS students?

Yes, financial aid is available on need basis.

How and when do I apply for financial aid?

You should apply for financial aid while submitting your online application. The application form for the financial assistance is within the online admission application.

Whom should I ask to write a letter of recommendation on my behalf?

The recommendation letters can be from a faculty member who has had a reasonable opportunity to evaluate you academically.

Are there any specific quotas in admission?

Admission in LUMS MS Programme is purely merit based and there are no quotas.

Can my admission be deferred?

In truly exceptional circumstances the Graduate Programme Committee may grant a deferral. All requests should be made in writing and will be reviewed on a case to case basis.

How will you notify me regarding a decision on my application?

Final Admission decision will be communicated through an official letter; however, you can check your application status through your online account. Regretfully, we are unable to provide information regarding your application status by telephone or e-mail.

Do you have any age limit for the admission to the MS Programme?

No, there are no age restrictions.

May I appeal my admission decision or ask to have the decision explained?

The admission process is a well deliberated and thorough process. Each year we receive a large number of outstanding applications. Unfortunately, all of them do not qualify because of the limited number of available seats. The decision regarding admission is final.

If your application is unsuccessful you will also receive a letter informing you of this. Due to the volume of applications the University receive, it is not possible to provide feedback on unsuccessful applications.

Who is an International applicant?

A Foreign national who is not of Pakistani origin and does not have a Pakistani passport/NICOP/CNIC is eligible to apply to LUMS under its International Student Programme. Applicants holding dual nationality out of which one is Pakistani are not eligible to apply through LUMS International Student Programme.

What is the Higher Education Commission (HEC), Pakistan?

Higher Education Commission (HEC) Pakistan is an independent, autonomous, and constitutionally established institution of primary funding, overseeing, regulating, and accrediting the higher education efforts in Pakistan.
HEC is responsible for formulating higher education policy and quality assurance to meet the international standards as well as providing accrediting academic degrees, development of new institutions, and uplift of existing institutions in Pakistan.