Programs - MPhil Mathematics

1: Program Scope

The abundant water resources bestowed by Allah in Pakistan serve as a foundation for infrastructure and energy development. The application of mathematics in assessing, managing, and optimizing these resources is instrumental in making informed decisions, ensuring sustainability, and fostering economic progress. The combination of Allah's blessings and the use of mathematical principles underscores the interconnectedness of nature, science, and human development. So, both pure and applied mathematics offer diverse and rewarding career paths. Pure mathematics contributes to foundational knowledge and theoretical understanding, while applied mathematics addresses practical challenges across various industries. The program scope is dynamic, reflecting the increasing importance of mathematical techniques in solving complex problems in our interconnected world. Students in both disciplines can find opportunities for impactful contributions in academia, research, technology, and beyond. To avoid hiring foreign experts for the above fields of mathematics it is inevitable to upgrade the level of our students. Keeping in view the above needs the Department of Mathematics, MY University is offering an MS degree program in the above fields.

2: Admission Requirements
  • Basic Academic Qualification: Sixteen years of schooling or 4 years of education (minimum 120 credit hours) after HSSC/F.A./F.Sc/Grade 12 or Equivalent shall be required for admission in the MPhil/MS/Equivalent program.
  • Admission Test: The university is required to: a) Conduct a rigorous admission test as an eligibility condition for admission to MS/MPhil/Equivalent programs, with a passing score of 50%. OR b) Accept the GRE/HAT General/Equivalent tests, with a passing score of 50%.
  • Intra-disciplinary Qualifications

The intradisciplinary admission may only be allowed, if:

a) The university/HEI policy allows, and

b) The applicant has a strong interest in pursuing an MS/MPhil/equivalent degree in a different discipline.

c) The applicant has passed GRE-Subject/equivalent test with minimum 50% marks in the discipline of admission and has taken 6-9 CH of deficiency courses of level 6.

d) The admission committee is satisfied that the applicant’s knowledge of primary area (level 6) has sufficiently prepared him or her to undertake the course of studies of the MS/MPhil/equivalent program (or, in the opinion of the admission committee, the preparation can be deemed satisfactory by taking a few additional courses after starting the program).

3: Degree Completion Requirements

For award of MPhil/MS/Equivalent degree, candidates shall:

Option 1: Thesis

  • 24 Credit Hours course work (8 courses of 3 Cr. Hrs. each, Compulsory/core courses and minor/elective courses decided in the program) (Minimum 2 Compulsory/Core Courses)
  • 06 Credit Hours Thesis
  • Total 30 Credits

Option 2: Non-Thesis

  • 30 Credit Hours course work (10 courses of 3 Cr. Hrs. each, major/core courses and minor/elective courses decided in the program)
4: Degree Completion Timeline
  1. The MS/MPhil degree shall be awarded by the universities not before the completion of 1.5 years or three (03) regular semesters and not after completion of four (04) years or eight (08) regular semesters, save exceptions mentioned at clause 2.3(ii).
  2. In case a student is unable to secure an MS/MPhil within the prescribed timeframe and claims for extension in duration, the university may constitute appropriate authority and determine the causes of delay. In the event of force majeure (i.e., delay on account of circumstance beyond the control of student), the university may grant an extension in the period of award of MS/MPhil degree in accordance with the duration limiting factor(s) and shall also take corrective measures in case the delay is caused by process or administrative reasons.
5: Credits Transfer, Evaluation and Grading
  1. The credit transfer of coursework from one university/DAI/HEI to another as well as to evaluate students’ academic performance (both formative and summative) and award of grades, HEC’s Policy Guidelines, issued from time to time, for implementation of the Uniform Semester Examination System in Higher Education Institutes of Pakistan shall be referred.
  2. The transfer of research work is permissible, provided that the host university accepts the research conducted at the parent university prior to the credit transfer.

5: MPhil Mathematics Program

1st – YEAR

Fall Semester (1)

Spring Semester (2)

Code

Course Title

Cr. Hrs.

Prerequisite

Code

Course Title

Cr. Hrs.

Prerequisite

MATH-701

Advanced Group Theory-I (Compulsory)

03

N/A

MATH-704

Functional Analysis (Compulsory)

03

N/A

MATH-702

Differential Equations

(Minor/Elective)

03

N/A

MATH-705

Fixed Point Theory (Minor/Elective)

03

N/A

MATH-703

Advanced Graph Theory-I (Minor/Elective)

03

N/A

MATH-706

Advanced Graph Theory-II (Minor/Elective)

03

N/A

Semester 1

Credit Hours

09

Semester 2

Credit Hours

09

2nd – YEAR

Fall Semester (2)

Spring Semester (4)

Code

Course Title

Cr. Hrs.

Prerequisite

Code

Course Title

Cr. Hrs.

Prerequisite

MATH-707

 

Numerical Analysis (Minor/Elective)

03

N/A

MATH-710

Thesis

03

N/A

MATH-708

Topics  in Advance Analysis (Minor/Elective)

03

N/A

 

OR (Course Work)

MATH-709

Thesis

03

N/A

MATH-711

Course

(Fuzzy Algebra)

03

N/A

 

     

MATH-712

Course (Advanced partial differential equation)

03

N/A

Semester 3

Credit Hours

06 for Coursework

Or

09 with Thesis

Semester 4

Credit Hours

03 with Thesis

or

06 for Course Work

 

6: Compulsory Courses:

Sr. No

Course Code

Subjects

1

MATH-701

Advanced Group Theory-I

2

MATH-702

Differential Equations

3

MATH-703

Advanced Graph Theory-I

4

MATH-704

Functional Analysis

 

7: Minor/Elective Courses:

Sr. No

Course Code

 Subjects in Different Streams

1

MATH-705

Fixed point Theory  

2

MATH-706

Advanced Graph Theory-II

3

MATH-707

Numerical Analysis

4

MATH-708

Topics  in Advance Analysis

5

MATH-711

Fuzzy Algebra

6

MATH-712

Advanced partial differential equation

 

                   

 

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