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Dr. Mohammed Rezaul Karim

 
Karim1.jpg

Professor and Coordinator of Mathematics

Phone:
256-372-4835  Email: mohammed.karim@aamu.edu

EDUCATION

Ph.D.(Mathematics), Concordia University, Montreal, QC. Canada (1997)
M.Sc.(Mathematics), Concordia University, Montreal, QC. Canada (1992)
M.Sc.(Applied Mathematics), Dhaka University, Dhaka, Bangladesh (1986)
B.Sc.(Honors in Mathematics), Dhaka University, Dhaka, Bangladesh (1983)

RESEARCH INTEREST

Wavelet Analysis, Signal Processing, Image Processing, Numerical Analysis, Differential Equations, Optimization, Approximation Theory, Mathematical Physics and Mathematical Biology.


PUBLICATIONS

1. Karim, M. R., "The Relationships between  the Bernoulli Numbers B2m & ak and Euler Numbers E2m & bk,
    Journal of Mathematical
Sciences & Computer  Applications 2(1): 108-117, 2014 

2. Karim, M. R., "Solutions of Higher-Degree Reduced Polynomial Equations by Using   Unipodal Numbers",
    The Theoretical Mathematics &
Applications, vol. 2, no. 1, 13 - 21(2012).

3. Karim, M. R., “The Sums of Alternating Series of Odd Powers of the Reciprocals of Odd Positive Integers”,
   KBM Journal of Mathematical Sciences and Computer
Applications, 1(1): 14 - 22 (2010).

4. Karim, M. R., “Solutions of Pentagonal Equation under Certain Conditions”, KBM   Journal of Mathematical
    Sciences and Computer Applications,  1(2), 33 - 39 (2010).


5. Karim, M. R., Leisher, D., and Liu, C., “Precalculus Algebra: Original Purpose – Its Relevancy to Students’
    Needs – and Some Suggestions”, KBM Journal of Science
Education, 1 (2), 19 - 23 (2010).

6. Karim, M. R., Liu, C., “Approximation of Apery’s Constant”, International Journal of Academic Research, vol
    . 2,No. 6, 9 - 12, November 2010.


7. Liu, C. and Karim, M. R., “Tune the Sequence (1+1/n)^(n+c) with the Parameter c”,
International Journal of
    Academic Research, vol. 2, No. 5, 11 - 17, September 2010.


8. Karim, M. R. and Gonzalez, C, “A Class of Series and Sums” in the Proceedings of the National Conference
    on Undergraduate Research, Missoula,
Montana, April 15 – 17, 2010, pp. 20-24.

9. Karim, M. R., “The Relationships Among Number Theoretic functions”, Journal of Mathematics, Statistics and
    Allied Fields, Volume 3, Issue 1, 1–5 (2009).


10. Karim, M. R., “Birthday Problem that Includes a Leap Day”, Math. Scientist, Vol.43,49-50 (2009).

11. Karim, M. R., Dunning, R., “Leap Day Extension of the Birthday Problem”, in the
proceedings of the National
      Conference on Undergraduate Research, La Cross,
Wisconsin, April 16- 18, 2009, pp. 315 – 318.

12. Karim, M. R., Gonzalez, C., “Applications of Congruences in Finding the Day of a
Given Date”, in the
     proceedings of the National Conference on Undergraduate
Research, La Cross, Wisconsin, April 16 – 18,
     2009, pp. 310 -314.


13. Karim, M. R., “Free Convection Flow Past an Accelerated Vertical Permeable Plate”
in the proceedings of
      Dynamical Systems & Applications 4 (2004), pp. 613 – 619.


14. M. R. Karim and Kyle Siegrist, “Teaching Functions by Interactive Explorations”, in the Proceedings of Huntsville
      Simulation Conference 2002, Huntsville, Alabama. pp.
384- 386.  

15. R. Green, M. R. Karim, ‘’Some Formulae for Evaluation of a Class of Single and Repeated Indefinite Integrals’’,in
      the Proceedings of the National Conference on
Undergraduate Research, (NCUR) 2001, March 15 – 17, 2001,
      Lexington, Kentucky.


16. Egarievewe, S., Adebiyi, B., Onafowokan, O., Coke, D. Karim, M. R., Rigby, K.,Adetunji, O., “Web Based
      Learning Environment for Functions and Graphs”,European Journal of Open Distance and E-Learning (2000).


17. M. R. Karim and S.T. Ali and M. Bodruzzaman ‘’A Relativistic Windowed Fourier Transform”, in the proceedings
      of IEEE SoutheastCon 2000, Nashville, Tennessee,
2000, pp. 253 – 260.

18. M. Bodruzzaman, R. Gupta, M. R. Karim, and S. Bodruzzaman, ‘’Neural Network-Based Codebook Search for
      Image Compression”, in the proceedings of IEEE
SoutheastCon2000, Nashville, Tennessee, April 7- 9,
      2000,pp.417 – 424.


19. C. Maxwell, M. R. Karim and M. Gunasekaran, ‘’A Model of Medical Decision
Making”, in the proceedings of the
      National Conference on Undergraduate Research
(NCUR) 99, pp. 1281-1284.

20. S.T. Ali, J-P. Gazeau and M. R. Karim, ‘’Frames, the beta-duality in Minkowski Space and Spin Coherent
     States’’, J. Phys.  A: Math.  Gen. 29 (1996) 5529 - 55


EXTERNAL FUNDING

Three of our proposals have been funded by National Science Foundation (NSF) in the recent years: (I was a Co-PI in all the projects).

1. Proposal Number: 0928904
    Proposal Title: Strategic Plan to Enhance STEM Education and Research at AAMU
    Total Funding: $2,163,679.00 for five years (current).

2. Proposal Number: 0265155
    Proposal Title: Strategic Plan for Enhancement, Expansion and Development of Undergraduate Programs
    (SPEED – UP)

    Total Funding: $2,100,000.00 for five years (ended in August 2011)


3. Proposal Number: 0552678
    Proposal Title: REU-Site at Alabama A&M University
    Total Funding: $165,000.00 for three years (ended in summer 2009)