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M. Phil Mathematics-GCU Lahore

May 5, 2015

Course name: M. Phil Mathematics

Course Overview: The Department is the oldest center of Mathematics in the north-western Subcontinent. It was founded by eminent Mathematician, Prof. W. H. Crank in 1864, after he took over as Officiating Principal of Government College Lahore. The Department maintained high standards ever since its inception. Celebrated Number Expert of the Subcontinent, Dr. S. Chawla was a Pre-partition old Ravain who later became Chairperson of the Department and served from 1935 to 1947. He conducted research in collaboration with leading Mathematicians of his time including C. Bose and Prof. Artin and his contributions were acknowledged by the American Mathematical Society.

The year 1966 marked the advent of a new era for the Department where Master Programme was launched independently at Government College Lahore, on the initiative of a competent teacher and administrator, Prof. L. M. Chawala, who had earlier launched the publication of the journal of “Natural Sciences and Mathematics” in 1961. An esteemed Ravian (session 1944-1946), a great mathematician of the 20th century, and later Chairperson, Department of Mathematics (1951- 1952), Prof. Salam earned international distinction by receiving over 20 prestigious awards, finally winning the Nobel Prize for Theoretical Physics in 1979.

No. of Semesters: 4

Course duration: 2 years

Requirements: A candidate having sixteen years of Education or 4-years of education (130 credit hours) after HSSC/A-Level/Grad-12/Equivalent in the relevant subject. The minimum required marks/grades for admission in MS/MPhil will be as follow:

  • Faculty of Science & Technology 2.50/4.00 CGPA or 60% in an Annual Examinations.
  • Faculty of Engineering 2.50/4.00 CGPA or 60% in Annual Examination.
  • Faculty of Arts & Social Science 2.50/4.00 CGPA or 60% in an Annual Examination.
  • Faculty of Languages, Islamic & Oriental Learning 2.00/4.00 CGPA or 50% in Annual Examination.
  • All candidates are required to pass the GCU General Assessment Test (General) for MS/MPhil admission to be conducted through NTS. The schedule of registration and test shall be announced at an appropriate time.
  • The candidate who already possess valid GAT result through NTS are also eligible to apply for admission till 30-09-2014.
  • Candidates working in Government /Semi Government or private institutions may apply. Such candidates shall have to submit “NOC” from the Head of the Institution where they are working.
  • There is no age limit for admission to MS/MPhil programme.
  • A “Notification of Registration” of the candidate approved for admission in MS/MPhil programme shall be issued by the Registrar.

How to apply: Admissions for Undergraduate degree programs usually opened once in a year during Fall Semester i.e. August / September.

  • Applications for admission to various Undergraduate degree programs are invited through an advertisement.
    Admission is made purely on merit basis from amongst the applicants.
  • In case the admission form is downloaded from university website (www.gcu.edu.pk), it should be accompanied with a Bank Draft / Pay Order
  • The application forms are available in the prospectus which can be obtained from the Office.
  • The candidates are advised to fill the Application Form carefully after reading the instructions and especially the column for preferences of different disciplines.

Curriculum:

Year – I

Semester – I

Course Title

Credit Hours

Students will study

Two Core Courses

3+3

Students will study

Two Optional Courses

3+3

Semester – II

Students will study Four Optional Courses

3+3+3+3

 Year – II

Semester – III & IV

Course Title

Credit Hours

Thesis

12

Core Subjects

Advanced Topology

3

Algebraic Geometry

3

Advance Functional Analysis

3

Numerical analysis

3

Optional Subjects for M. Phil/PhD Programmes

Advanced Group Theory

3

Advance Ring Theory

3

Algebraic Topology

3

Algebraic Number Theory

3

Approximation Theory

3

Commutative Algebras

3

Computer Algebra

3

Constructive Approximation

3

C*-algebras

3

Differential Topology

3

Di Topology

3

Distribution Theory

3

Fixed Point Theory

3

Fourier Analysis and its Applications in Signal Analysis and Image Processing

3

Galois Theory

3

Geo Mathematics

3

Generalization of Groups

3

Graph Theory and Applications

3

Inverse Problem

3

Interpolation through Wavelets and Splines

3

Knot Theory

3

Spectral Theory in Hilbert Spaces

3

Advanced Special Functions and their applications

3

Theory of Splines

3

Theory of Wavelets

3

Theory of Differential Equations

3

Theory of Relativity

3

Numerical Approximation Theory

3

Numerical Solution of Partial Differential Equations

3

Nonlinear Dynamics and Control theory

3

Valuation Theory

3

Theory of Semi Rings

3

Fluid Dynamics

3

Discrete Mathematics

3

Number Theory

3

Advanced Theory of Semi Rings

3

Advanced Topics in Rings and Modules

3

Nonlinear Systems

3

Functional Mathematics

3

Homological Algebra

3

Graph Labelling

3

Numerical methods for Partial Differential Equations – I

3

Numerical methods for Partial Differential Equations – II

3

Note: An optional course will be offered subject to availability of the instructor

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