MPhil Mathematics – NUST
Course Name: MPhil Mathematics
Overview
Thrust Area and Coursework
The main thrust areas in Mathematics are Differential Equations, Mathematical Physics, Analysis, Combinatory, Geometry, Optimization Theory, Symmetry Analysis and Computational Mathematics. MPhil coursework will be of 24 credit hours, followed by a thesis of 6 credit hours. The PhD programme will consist of 18 credit hours of coursework and 30 credit thesis. The course outline and contents will be declared individually for each student from their chosen research areas, as advised by their supervisor. There will also be seminar courses that must be cleared but will carry no credits.
Comprehensive Examination
The MPhil students will register for the thesis every semester after completing 24 credit hours of coursework and PhD students after passing the comprehensive examination. The comprehensive examination is based on core courses and on four of the elective subjects.
Important Courses
Algebra, Analysis, Geometry, Differential Equations, Computational Mathematics, Functional Analysis, Ordinary and Partial Differential Equations, Continuum Mechanics, Special Functions, Mathematical Modelling, General Relativity, Cosmology, Spinor Formalism, Stellar Structures, Relativistic Astrophysics, Relativistic Astrophysics of the Galactic Centre, Classical Field Theory, Quantum Mechanics, Quantum Field Theory, Particle Physics etc.
MPhil Thesis
MATH-899 Thesis (6.0 credits)
PhD Thesis
MATH-999 Thesis (36.0 credits)
Note: PhD Students will complete the requirements of 800/900 level coursework to be decided by the doctoral Guidance and Examination Committee (GEC).
Course list
(All courses carry 3 credits unless mentioned otherwise)
Number of Semesters: 2
Requirements
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Sixteen years of schooling or 4 years (minimum 124 credit hours) education after HSSC/A’ Level in relevant discipline with minimum CGPA of 2.0 out of 4.0 OR 55% marks (percentage will only be considered if CGPA is not mentioned on the transcript).
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GAT (General) conducted by NTS with at least 50 accumulative score
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Masters / Bachelors (4 years) in Mathematics.
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Masters / Bachelor’s degree must be recognized by HEC.
Course Duration: 2 years
How to apply:
Application
• Access web-link: www.pgadmission.nust.edu.pk • Fill online application form. • Upload scanned copies of required documents.
Application Confirmation
• Application confirmation will be sent at the given email address within 24 hours of submission.
Application Fee
• Deposit Application Fee online in any HBL branch.
Fee Receipt
• Fee confirmation will be sent at the given email address within 15 days of payment.
Application Status
• Application status would be communicated through email/website within 2 days of documents receipt.
Interview Calls
• Eligible candidates and those who qualify GAT-Gen or relevant tests will be asked to appear for interviews.
Interviews
• Candidates would appear for interviews at the concerned School/College/Center in July 2014.
Selection List
• Selection list will be uploaded on NUST website by the mid of August 2014.
Admission Dues
• Candidates will deposit admission dues in any HBL branch as per challan form available online.
Document Submission
• Candidates will prepare documents as per given checklist available online and will submit to the PGP Directorate, Main Office NUST. • All original documents, Medical Certificate and Affidavit will be submitted to the respective Schools/Colleges/Centers at the time of joining.
Joining Instructions
• Relevant NUST School/College/Center will issue joining instructions to those candidates who have completed all admission requirements.
• Successful candidates will join relevant programs as per joining instructions in 2nd week of September 2014.
Curriculum:
COURSES
Subjects Credit Hours |
Algebra 3-0 |
Analysis 3-0 |
Geometry 3-0 |
Differential Equations 3-0 |
Computational Mathematics 3-0 |
Functional Analysis 3-0 |
Ordinary Differential Equation I 3-0 |
Ordinary Differential Equations II 3-0 |
Partial Differential Equations I 3-0 |
Partial Differential Equations II 3-0 |
Symmetry Methods for Differential Equations I 3-0 |
Symmetry Methods for Differential Equations II 3-0 |
Functional Methods for Differential Equations 3-0 |
Fixed Point Theory 3-0 |
Continuum Mechanics I 3-0 |
Continuum Mechanics II 3-0 |
Special Functions 3-0 |
Transform Methods 3-0 |
Asymptotic Methods 3-0 |
Mathematical Modeling 3-0 |
Complex Methods 3-0 |
General Relativity 3-0 |
Cosmology 3-0 |
Spinor Formalism 3-0 |
Stellar Structures 3-0 |
Relativistic Astrophysics 3-0 |
Relativistic Astrophysics of the Galactic Centre 3-0 |
Particle Physics 3-0 |
Foundations of Quantum Mechanics 3-0 |
Celestial Mechanics 3-0 |
Thermodynamics 3-0 |
Statistical Mechanics 3-0 |
Electromagnetism I 3-0 |
Electromagnetism II 3-0 |
Gravitational Lenses 3-0 |
Optimization Theory I 3-0 |
Optimization Theory II 3-0 |
Classical Field Theory 3-0 |
Quantum Mechanics 3-0 |
Quantum Field Theory 3-0 |
Quantum Field Theory in Curved Spaces 3-0 |
Advanced Computational Mathematics I 3-0 |
Advanced Computational Mathematics II 3-0 |
Stochastic Methods I 3-0 |
Stochastic Methods II 3-0 |
Graph Theory 3-0 |
Topology 3-0 |
Semigroup Theory of Operators 3-0 |
Combinatorics 3-0 |
Reading and Research I 3-0 |
Reading and Research II 3-0 |
Reading and Research III 3-0 |
Courses from Other NUST Institutions 0-0 |
Seminar Attendance (Non Credit) 0-0 |
Seminar Delivered – G (Non Credit) 0-0 |
Seminar Delivered – T (Non Credit) 0-0 |
Seminar Delivered – R (Non Credit) 0-0 |
Advanced Fluid Mechanics 3-0 |
Dissertation MPhil 6-0 |
Thesis PhD 30-0 |
ADDITIONAL COURSE
Subjects Credit Hours |
Research Methodology 2-0 |