Information Theory:

  1. Sara Shafiq, Sajid Ali and Syed Ali Hassan, “Optimal Polarlization Diversity Gain Using Quaternions”, Accepted for publication in Signal Processing Letters, 2018.

  2. Rafay Iqbal Ansari, Syed Ali Hassan, Sajid Ali, Chrysostomos Chrysostomoua and Marios Lestasc, “On the Outage Analysis of a D2D Network with Uniform Node Distribution in a Circular Region”, Accepted for publication in Physical Communication, 2017.

  3. E. Mushtaq, S. Ali, S. A. Hassan, “Novel Construction Methods of Quaternion Orthogonal Designs based on Complex Orthogonal Designs”, IEEE International Symposium on Information Theory (ISIT), Jun, 2017, Aachen Germany.

  4. Erum Mushtaq, Sajid Ali and Syed Ali Hassan, “On Low Complexity ML Decoder For Quaternion Orthogonal Designs”, IEEE Communication Letters , Vol. 21, No. 5, pp. 1087-1090, Feb, 2017.

  5. M. Nohman Javed, Sajid Ali and Syed Ali Hassan, “3D MCRLB Evaluation of a UMTS-based Passive Multistatic Radar Operating in a Line-of-Sight Environment”, IEEE Transactions on Signal Processing, May, 2016.

  6. M. Nohman Javed, Syed Ali Hassan and Sajid Ali, “Characterizing the Impacts of Rice Fading on a WiFibased Passive Multistatic Radar Using CramerRao Bound”, IEEE-Radar Conference 2016, May, 2016, Philadelphia United States.

  7. S. Sidra, S. Ali Hassan, Sajid Ali, “Near-Orthogonal Randomized Space-Time Block Codes for Multi-Hop Cooperative Networks”, IEEE International Wireless Communications and Mobile Computing Conference (IWCMC), Aug, 2015, Croatia.

Mathematical Physics

  1. Sajid Ali, Hassan Azad, Indranil Biswas, Ryad Ghanam, M T Mustafa, “Embedding Algorithms and Applications to Differential Equations”, Journal of Symbolic Computation , pp. , May, 2017.

  2. Sajid Ali, Ibrar Hussain, “A study of positive energy condition in Bianchi V spacetimes via Noether symmetries”, European Journal of Physics C, Jan, 2016.

  3. Ibrar Hussain, Sajid Ali, “Marginally stable circular orbits in the Schwarzschild black hole surrounded by quintessence matter”, The European Physical Journal Plus, Vol. 131, pp. 275, Aug, 2016.

  4. Farhad Ali, Tooba Feroze and Sajid Ali, “Complete classification of spherically symmetric static spacetimes via Noether symmetries”, Theoretical and Mathematical Physics, 184, 973-985, July 2015

  5. Ibrar Hussain, Sajid Ali, Effect of a quintessence model on the energy of the Reissner-Nordstorm black hole, General Relativity and Gravitation, DOI 10.1007/s10714-0, Feb, 2015.

  6. Sajid Ali, M. Jamil,D. Momeni,R. Myrzakulov, “Bianchi type I cosmology in generalized Saez–Ballester theory via Noether gauge symmetry”, The European Physical Journal C – Particles and Fields, Vol. 72, No. 4, pp. 1998, Apr, 2012.

  7. Stephen C. Anco, Sajid Ali, Thomas Wolf, Exact solutions of nonlinear partial differential equations by the method of group foliation reduction, SIGMA, 7, 2011.

  8. S. C. Anco, S. Ali, Thomas Wolf, Symmetry analysis and exact solutions of semilinear heat flow in multi-dimensions, J of Math. Analysis and App., 379 (2), 2011.

  9. Sajid Ali, Muhammad Safdar, Asghar Qadir, Linearization from complex Lie point transformations, Journal of Applied Mathematics, Vol. (2014), 2014.

  10. M. Safdar, S. Ali, F. M. Mahomed, Linearization of systems of four second-order ordinary differential equations, Pramana J of Phy., 77 (3), 2011.

  11. M. Safdar, Asghar Qadir, S. Ali, Linearizability of systems of ordinary differential equations obtained by Complex Symmetry Analysis, Math. Prob. in Eng., 2011.

  12. M. Safdar, S. Ali, Asghar Qadir, Inequivalence of classes of linearizable systems of second order ordinary differential equations obtained by real and complex symmetry analysis, Math. and Comp. App., 16 (4), 2011.

  13. M. U. Farooq, S. Ali, F. M. Mahomed, Two-dimensional systems that arise from the Noether classification of Lagrangians on the line, AMC, 217 (16), 2011.

  14. M. U. Farooq, S. Ali, Asghar Qadir, Invariants of two-dimensional systems via complex Lagrangians with applications, CNSNS, 16 (4), 2011.

  15. S. Ali, F. M. Mahomed, Asghar Qadir, Linearizability criteria for systems of two second-order differential equations by complex methods, Nonlinear Dyn., 2011.

  16. S. Ali, F. M. Mahomed, Asghar Qadir, Complex Lie symmetries for scalar second-order ordinary differential equations, Nonlin. Analy.: Real World App., 10 (6) 2009.

  17. S. Ali, F. M. Mahomed, Asghar Qadir, Complex Lie symmetries for variational problems, JNMP, 15(1), 2008.


  1. Sajid Ali, Revisiting Noether gauge symmetry approach in quintom cosmology, Arxiv (

Research Interests:

Mathematical Physics (Symmetry Analysis, Cosmology, Information Theory)

Research Project (HEC-NRPU 2017):

Title: “Use of Noether Symmetries in the Identification of Feasible Cosmological Models”



Conference Organized:

Symmetries of Differential Equations and Applications (SDEA – II) (Pakistan-2014)


Int’l Symposium on Information Theory (ISIT), Germany, 2017

Varying Constant and Fundamental Cosmology (VARCOSMOFUN), Poland, 2016

AJK (2014) Talk at AJK University, AJK, 2014.

CMS-Meeting (UBC-Canada) – Talk at CMS Meeting, Vancouver, Dec, 2010

M Phil Supervision:

1.   Asmat Amin (
2.   Muhammad Saad (

Joint MS Supervision in Electrical Engineering:

1.   Mr. Nohman Javed
2.   Miss Erum Mushtaq
3.   Miss Sara Shafiq (PhD in Progress)


Following are notes of miscellaneous topics in CVT.


Complex Functions

Analytic Functions

Engineering with Iota

Sequence & Series (For help about these in the real domain, go through Review.)

Complex Integration

Fourier Series (Revised)

Half Range Expansions

Fourier Transform

Ordinary Differential Equations (Review)

Introduction to PDEs

Wave Equation


For practice go to Practice Questions

Solved Questions on All Topics


    • Spring-2015

MVC (Outline)
Following notes cover miscellaneous topics in MVC and these are prepared in consultation with Mr. M Nadeem. However these are not designed in one-hour lecture format.

    • Notes

Qaudric Surfaces
Multivariable Functions
Chain Rule
Extreme Values and Saddle points
Coordinate systems
Double Integral
Tripple Integral
Tripple Integral (Applications)
Scalar and Vector Fields
Line Integrals
Green Theorem
Surface Integrals
Gauss & Stokes Theorem


CVT (Outline)
Following are notes of miscellaneous topics in CVT. However they are not designed in one-hour lecture format.

    • Notes

Complex Functions
Analytic Functions
Complex Integration
Conformal Mappings
Fourier Series

      • Projects

BEE-5A (Task)      Group-A      Group-B       Group-C       Group-D

BEE-5B (Task)      Group-A                                 Group-C

There are two divisions in our school (SEECS) where miscellaneous math courses our offered:
1. Dept. of Electrical Engineering (DEE) DEE
2. Dept. of Computing DOC

There are two math courses that I have taught many times at SEECS that include Multivariable and Vector Calculus (MVC) and
Complex Variables and Transform (CVT)

Following changes are implemented in the methodology of teaching math courses in these divisions to engineering students based on the feed-back received from students, alumini etc.

1. Direct link to other engineering courses.
2. To show students how the basic concepts of MVC and CVT get used in research in the departments of EE and DoC.
3. To convince students how logic and reasoning learnt in mathematics can be used to conclude one possibility among infinitely many to resolve a problem.

Below you will find presentations on the implementation of above ideas.

CVT Chain
MVC Chain

I am grateful to Mr. M Nadeem for useful discussions in developing these ideas.