# Department of Mathematics

## Math updates

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## Introduction

Mathematics is the basis of scientific development and modern technology. Applications of this most fascinating intellectual discipline are vast and varied. The network analysis, operation research and management heavily utilize the mathematical principles, formulae and calculations. Mathematics is used throughout the world as a fundamental tool in so many fields, viz., astronomy, engineering, medicine, natural and social sciences.

Keeping in view role the department of mathematics can play, CIIT Attock Campus established department of Mathematics in September 2011. The Department is offering Mathematics courses in Engineering, Computer sciences and Management sciences at undergraduate and graduate levels in the most professional manner. The department launched M.Sc. Mathematics program in Fall 2011 and MS Mathematics Program in Fall 2012. We now aim to start PhD programme from Fall 2014

## Vision

The vision of the department of the mathematics is the part of the vision of COMSATS institute of information technology and that is to provide high quality Education in Pure, Applied and Computational Mathematics to pursue outstanding research, and to serve the community.

## Program Objectives

- To impart quality education of Mathematics in Attock and its surrounding areas at minimum cost
- To develop a conducive environment for research, both in pure and applied Mathematics
- To produce professionals with Mathematical background
- M. Sc program is serving as a nursery for MS and Ph.D Mathematics programs

**Associated Careers**

Having accomplished a masters degree program in Mathematics one can have various career options both in the public and private sectors viz. in business, research, industry, Aviation, space technology, banking, weather forecasting and teaching.

## Offered Programs

**M.Sc. Mathematics (List of Core Courses)**

Sr. No | Course Title | Course Code |
---|---|---|

1 | Calculus | MTH 250 |

2 | Set Topology | MTH 251 |

3 | Real Analysis I | MTH 321 |

4 | Real Analysis II | MTH 322 |

5 | Complex Analysis | MTH 324 |

6 | Functional Analysis | MTH 327 |

7 | Partial Differential Equation | MTH 343 |

8 | Differential geometry | MTH 352 |

9 | Optimization | MTH 374 |

10 | Numerical computation | MTH 375 |

11 | Algebra | MTH 376 |

12 | Analytical dynamics | MTH 382 |

13 | Mathematical methods of physics | MTH 483 |

14 | Mathematical statistics | STA 365 |

15 | Project report | MTH 499 (3RD SEMESTER) |

16 | Project report | MTH 499 (4TH SEMESTER) |

**List of Elective Courses**

The students will register elective courses in consultation with their respective supervisor of the department.

Sr. No | Course Title | Course Code |
---|---|---|

1 | Galois Theory | MTH 414 |

2 | Rings and modules | MTH 415 |

3 | Advance complex analysis | MTH 423 |

4 | Convex analysis | MTH 424 |

5 | An introduction to geometric function theory | MTH 425 |

6 | Introduction to measure theory | MTH 426 |

7 | Introduction to Hilbert spaces | MTH 427 |

8 | Analytical number theory | MTH 435 |

9 | Graph theory | MTH 442 |

10 | Advance numerical analysis | MTH 462 |

11 | Numerical solution of differential equation | MTH 463 |

12 | Numerical optimization | MTH 464 |

13 | Topics in scientific computing | MTH 465 |

14 | Approximation theory | MTH 466 |

15 | Operations research | MTH 467 |

16 | Non linear optimization | MTH 468 |

17 | Mathematical statistics II | MTH 470 |

18 | Integral equation | MTH 471 |

19 | Riemannian geometry | MTH 472 |

20 | Continuous group | MTH 473 |

21 | Theory of manifolds | MTH 474 |

22 | Introduction to combinatorics | MTH 475 |

23 | Algebraic system and coding theory | MTH 476 |

24 | Algebraic topology | MTH 477 |

25 | Special relatively | MTH 478 |

26 | General relatively | MTH 479 |

27 | Introductory quantum mechanics | MTH 480 |

28 | Advance functional analysis | MTH 481 |

29 | Variational inequalities | MTH 484 |

30 | Calculus of variation | MTH 485 |

31 | Fluid mechanics | MTH 486 |

32 | Continuum mechanics | MTH 487 |

33 | Elasticity | MTH 488 |

34 | Controle theory | MTH 489 |

35 | Micro economic (financial mathematics) | MTH 491 |

36 | Elements of electromegenatic theory | MTH 493 |

37 | Sampling and design analysis | MTH 494 |

38 | Topics in pure mathematics | MTH 495 |

39 | Topics in applied mathematics | MTH 496 |

40 | Topics in numerical mathematics | MTH 497 |

41 | Topics in statistics | MTH 498 |

## Core courses detail

Sr No | Course Title | Course Code |
---|---|---|

1 | Hilbert Space Methods | MTH601 |

2 | Optimization Theory | MTH602 |

3 | Perturbation Methods I | MTH603 |

4 | Fixed Point Theory and Applications | MTH604 |

5 | Numerical Solution of ODEs | MTH605 |

6 | Advanced Numerical Analysis | MTH606 |

7 | Numerical Linear Algebra | MTH607 |

8 | Approximation Theory and Applications | MTH608 |

9 | Advanced Partial Differential Equations | MTH609 |

10 | Variational Inequalities & Applications | MTH610 |

11 | Integral Inequalities | MTH611 |

12 | Numerical Solutions of PDEs I | MTH612 |

13 | Advanced Mathematical Statistics | MTH615 |

14 | Time Series Analysis and Forecasting | MTH616 |

15 | Linear Statistical Models | MTH617 |

16 | Advanced Topics in Graph Theory | MTH618 |

17 | Commutative Algebra | MTH619 |

18 | Advanced Topology I | MTH620 |

19 | Algebraic Topology | MTH621 |

20 | Mathematical Analysis | MTH622 |

21 | General Relativity | MTH623 |

22 | Probability Models and Application | MTH624 |

23 | Numerical Optimization | MTH625 |

24 | Introductory Cryptography | MTH626 |

25 | Complexity Theory | MTH627 |

26 | Finite Fields | MTH628 |

27 | Fuzzy Logic and Applications | MTH629 |

28 | Fuzzy Probability and Statistics | MTH630 |

29 | Topology | MTH631 |

30 | Geometric Function Theory | MTH632 |

31 | Advanced Convex Analysis | MTH633 |

32 | Advanced Modern Algebra with Applications | MTH634 |

33 | Theory of Groups | MTH635 |

34 | Representation Theory of Finite Groups | MTH636 |

35 | Field Extensions and Galois Theory | MTH637 |

36 | Advanced Topology II | MTH638 |

37 | Differential Subordinations and Applications | MTH640 |

38 | Convolutions in Geometric Function Theory | MTH641 |

39 | Semigroup Theory | MTH642 |

40 | Theory of Abel Grassmann's Groupoids | MTH650 |

41 | Symmetry Methods in Differential Equations | MTH651 |

42 | General Linear Model | MTH652 |

43 | Multivariate Analysis in Mathematics | MTH653 |

44 | Viscous Fluids I | MTH661 |

45 | Viscous Fluids II | MTH662 |

46 | Perturbation Methods II | MTH663 |

47 | Numerical Solutions of PDEs II | MTH664 |

48 | Heat Transfer | MTH665 |

49 | Elastodynamics | MTH666 |

50 | Fluid and Thermodynamics | MTH667 |

51 | Magnetohydrodynamics | MTH668 |

52 | Group Theoretic Methods | MTH669 |

53 | Advanced Analytical Dynamics | MTH670 |

54 | Momentum and Thermal Boundary-Layer Theory | MTH671 |

55 | MHD and Porous Media | MTH672 |

56 | Physical Turbulent Flows | |

57 | Thesis | MTH800 |

## Faculty

Dr. Sadia SiddiqaAssistant Professor / HOD (HEC Approved PhD Supervisor)Email: sadia_siddiqa[at]ciit-attock.edu.pk Phone: 057-9316330 - 250 | |

Prof(R). Dr. Zafar MahmudAdvisorEmail: drzafarmahmud@ciit-attock.edu.pk Phone: 057-9316330 - | |

Dr. Farooq Ahmed ShahAssistant ProfessorEmail: farooq.a.shah@ciit-attock.edu.pk Phone: 057-9316330 - | |

Dr. Shafiq Ur RehmanAssistant Professor (HEC Approved Ph.D Supervisor)Email: shafiq@ciit-attock.edu.pk, shafiq_ur_rahman2@yahoo.com Phone: 057-9316330 - 206 | |

Dr. Muhammad AwaisAssistant Professor/ HEC Approved SupervisorEmail: awais_mm@yahoo.com Phone: - | |

Dr. A. Q. BaigAssistant ProfessorEmail: aqbaig1@gmail.com Phone: 057-9316330 - | |

Dr. Atiq Ur RehmanAssistant Professor (HEC Approved Ph.D Supervisor)Email: atiq-ur-rehman@ciit-attock.edu.pk Phone: +92-57- 9316330-1 - 234 | |

Dr. Ghulam FaridAssistant ProfessorEmail: ghlmfarid@ciit-attock.edu.pk Phone: 057-9316330 - | |

Mr. Shahid HussainAssistant ProfessorEmail: shahid_hussain@comsats.edu.pk Phone: 057-9316330 - | |

Dr. Muhammad ZebAssistant ProfessorEmail: zeb@ciit-attock.edu.pk Phone: 057-9316330 - 274 | |

Mr. Ali ImranLecturerEmail: ali.imran@comsats.edu.pk Phone: 057-9316330 - | |

Mr. Adil IhsanLecturerEmail: adilihsan@ciit-attock.edu.pk Phone: 057-9316330 - 213 | |

Ms. Sania IramLecturerEmail: sania.iram@ciit-attock.edu.pk Phone: 057-9316330 - | |

Mr. Noor MuhammadLecturerEmail: dir-attock@comsats.edu.pk Phone: 057-9316330 - | |

Mr. Atta UllahLecturerEmail: attaqau13@gmail.com Phone: 057-9316330 - |

## Scholarships for MS Mathematics

- 100% tuition fee Scholarship
- Student have to maintain a CGPA of 3.00 to avail the scholarship in the subsequent semesters

## Scholarships for M.Sc. Mathematics

- 100% tuition fee Scholarship
- Student have to maintain a CGPA of 2.00 for M.Sc. Mathematics