Dr. Md. Rafiqul Islam
Professor

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    Email:

    mrislam_66@yahoo.com; mrislam_66@math.ku.ac.bd


    Contact:

    8801914066279

    Address:

    Mathematics Discipline, Room No.: 1217, 1st Academic Building, Khulna University, Khulna-9208, Bangladesh.

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Welcome to my homepage. I'm Dr. Md. Rafiqul Islam, currently working as a Professor at the Mathematics Discipline at Khulna University, Khulna-9208, Bangladesh where I have been a faculty member since 1994. My main responsibilities are to conduct theory and sessional classes at undergraduate and graduate levels and hence to supervise student’s thesis and research works. I've received my PhD, M.Sc. and B.Sc. degrees in Mathematics from Rajshahi University, Bangladesh. I've also received another M.Sc degree from The King Fahd University of Petroleum and Minerals, Saudi Arabia. My research interest includes wavelet analysis, approximation theory, signal and image processing, industrial mathematics.

Education:

July 2007 - June 2012                        Ph.D. in Mathematics
                                                             University of Rajshahi, Rajshahi, Bangladesh.
                                                             Thesis Title: Digital Signal and Image Processing by Using Wavelet and Wavelet Packets
                                                             Supervisor: Prof. Dr. Shewli Shamim Shanta

September 2002–May 2005              MS. in Mathematics
                                                          King Fahd University of Petroleum and Minerals, Saudi Arabia.
                                                            Thesis Title: Approximation by wavelets.
                                                            Supervisor: Prof. A.H. Siddiqi
                                                          Co-supervisor: Dr. Khaled M. Furati

1987 – 1988                                        M.Sc. in Applied Mathematics
(Exam. held in 1991)                          University of Rajshahi, Rajshahi, Bangladesh.

1984 – 1987                                        Bachelor of Science (Hons.) in Mathematics
(Exam. held   in 1989)                        University of Rajshahi, Bangladesh.

1982 - 1984                                         Higher Secondary Certificate (H.S.C.)
                                                            Satkhira Government College, Satkhira, Bangladesh.

1976 - 1982                                         Secondary School Certificate (S.S.C.)
                                                            Tuardanga H.F. High School, Assasuni, Satkhira, Bangladesh.

Wavelet Analysis

Approximation Theory

Signal and Image processing

Industrial Mathematics

Current Research Project/Collaboration

SL Title Research Role Awarded Date Completion Date Funding Agency
1 Improvement of Data Security System Using Wavelet and Multiwavelet Transformation Principal Investigator 08.09.2022 19.09.2024 National
2 Flow and Heat Transfer through a Rotating Curved Micro-channel: The Case of Positive and Negative Rotation Principal Investigator 03.11.2008 15.12.2009 National
3 Transient Heat and Fluid Flow through a Curved Rectangular Duct for Large Aspect Ratio Principal Investigator 03.12.2009 08.12.210 National

Teaching experience

July 2012 - till to date           Grade - I Professor, Mathematics Discipline, Khulna University, Khulna, Bangladesh.

Sept. 2006 - June 2012      Professor, Mathematics Discipline, Khulna University, Khulna,Bangladesh. 

May 2002 - Aug. 2006      Associate Professor, Mathematics Discipline, Khulna University, Khulna, Bangladesh.

Sept. 1997 - May 2002      Assistant Professor, Mathematics Discipline, Khulna University, Khulna, Bangladesh. 

April 1994 -Aug. 1997      Lecturer, Mathematics & Computer Science and Engineering Discipline, Khulna University, Khulna, Bangladesh.


Administrative Experience


Feb. 1999 - Aug. 2002            Head, Mathematics Discipline, Khulna University, Khulna, Bangladesh.

Jan. 1999 - Aug. 2002            Member of Academic Council, Khulna University, Khulna, Bangladesh.

Jan 2006 - May 2009             Head, Mathematics Discipline, Khulna University, Khulna, Bangladesh.

Jan. 2006 - Feb. 2007            Syndicate member, Khulna University, Khulna, Bangladesh.

Jan. 2006 - June 2007           Member of Board of Advance Studies (BOAS), Khulna University, Khulna, Bangladesh.

Session: 2005-2006                Member of Peer Review Committee, Ministry of Science, Information and Communication, Government of the People’s Republic of Bangladesh. 

Aug. 2007 - Jun 2010            Hall Provost, Khan Jahan Ali Hall, Khulna University, Khulna, Bangladesh.

July 2012 - June 2015           Head, Mathematics Discipline, Khulna University, Khulna, Bangladesh.

Nov. 2012 - Nov. 2014           Dean, Science, Engineering and Technology School, Khulna University, Khulna, Bangladesh.

No Data Available

Supervision

SL Title Degree Role Start Date End Date
1 Deep Learning based Face Recognition using Convolution Neural networks Masters Supervisor 1.1.2022 30.6.2023
2 Advanced Digital Image Detection and Affected Region Mapping for Rice Plant Diseases Utilizing the Wavelet Transform Masters Supervisor 1.1.2020 30.6.2021
3 Signal Steganography using Different Wavelets and their Comparisons Masters Supervisor 1.1.2019 30.6.2020
4 Detection of Skin Diseases Based on Image Color and Texture Features using Wavelet Transform Masters Supervisor 1.1.2020 30.6.2021
5 Detection of Covid-19 Infected and Non-infected Lungs from Chest X-ray using Wavelet Transform and HOG Features Extraction Masters Supervisor 1.1.2019 30.6.2020
6 Iris Recognition using Different Wavelet Transforms Masters Supervisor 1.1.2018 30.6.2019
7 Human Voice Activity Detection using Wavelet and Support Vector Machine Masters Supervisor 1.1.2017 30.6.2018
8 Fingerprint based Gender and Blood Group Identification using 2D Discrete Wavelet and Binary Transform Masters Supervisor 1.1.2016 30.6.2017
9 Biometric Iris Recognition based on Daubechies Wavelet Transform Masters Supervisor 1.1.2014 30.6.2015
10 Heat and Mass Transfer of MHD Radiative Sisko Nanofluid with Temperature Dependent Thermal Conductivity and Molecular Diffusivity Past a Porous Stretching Sheet Masters Supervisor 1st July, 2024 30 Jun, 2025
11 Analysis of Medical Images for Identification of Abnormality Detection for Kidney using Deep Learning Masters Supervisor 1st July 2022 30 Jun, 2023

No Data Available

coming soon...

PUBLICATIONS

1.      Md. Rafiqul Islam and Md.Moniruzzaman (1999), “On K -summability of a Triple Fourier Series,”  Bulletin of the Calcatta Mathematical Society, India, 91(4),  pp323-332

2.  Md.Harunor Rashid Khan and Md. Rafiqul Islam (1999), “A Monte Carlo simulation for the charm less hadronic decays of the B-mesons in the belle experiment at KEK in Japan”, Khulna University Studies, Bangladesh, vol. 1(2), pp159-167.

3.  Md. Rafiqul Islam and Fouzia Rahman (2000), “Hall effects on MHD free convective flow past an infinite vertical porous plate when plate temperature oscillates in time about a constant mean”, Khulna University Studies, Bangladesh, vol. 2(1), pp45-58.

4.  Fauzia Rahman and Md. Rafiqul Islam (2002), “Hall effects on unsteady MHD free convection flow through a porous medium in rotating fluid with constant heat flux”, Journal of Mathematics and Mathematical Sciences Jahangirnagar University, Bangladesh, vol. 17, pp 55-61.

5.  Md. Rafiqul Islam and Fouzia Rahman (2002), “Unsteady MHD flow between two parallel porous flat plates”, Khulna University Studies, Khulna, Bangladesh, vol.3(2), pp521-525.

6. Mohammad Rafiqul Islam (2005), “Approximation by Wavelets’, King Fahd University of Petroleum and Minerals (Saudi Arabia),

7. M. M. Alam, M. R. Islam and R. N. Mondal (2006), “Viscous and joule heating effects on MHD free convection and mass transfer flow with thermal diffusion and large suction”, Khulna University Studies, Khulna, Bangladesh, vol.7(2), pp119-132.

8.  M. R. Islam (2006), “Superiority of Wavelet Theory compared to Fourier Transform”, Khulna University Studies, Khulna, Bangladesh, vol.7(1), pp119-122.

9.  S.M.A. Rahman, S.F. Ahmmed and M. R. Islam (2006), “An analysis of modes in a caricature of a model for morphogenesis”, Khulna University Studies, Khulna, Bangladesh, vol.7(1), pp123-128.

10.  M. R. Islam, S.F. Ahmmed, and S.M.A Rahman (2006), “Comparison of Wavelet Approximation Order in Different Smoothness Spaces”, International Journal of Mathematics and Mathematical Sciences (IJMMS), Pub-USA, Vol.2, pp1-6.

11. M. R. Islam and A.H. Siddiqi (2007), “Certain Observations on Non-Uniform Haar Wavelets”, Review Bulletin of the Calcutta Mathematical Society, India, Vol.15(1), pp1-10.

12. M. R. Islam, A. Huda, S.F. Ahmmed and S.M.A Rahman (2007), “Approximation by Haar Wavelet and their Order of Approximation in Different Spaces”, Khulna University Studies, Khulna, Bangladesh, vol.8(1), pp161-167.

13.  M. Sifuzzaman, S.A. Shamim, M. R. Islam and R. Sarker (2007), “Different wavelets, their properties and advantages”, Khulna University Studies, Khulna, Bangladesh, vol.8(2), pp316-325.

DOI: https://doi.org/10.53808/KUS.2007.8.2.0705-PS

14.  M.R. Islam, and S.F. Ahmmed (2007), “Approximation of General functions by RHW and Non-uniform Haar Wavelet in L2(R)”, Shah Jalal University of Science and Technology, Sylhet, Bangladesh, Vol.8, No.2, pp1-9.

 

15. Md. Sharif Uddin* , M. Sifuzzaman, M.A. Huda and M.R. Islam (2008), “Investigation of the Solution of a Fredholm Integral Equation of First Kind with Respect to the Fourier Series”,  Khulna University Studies, Khulna, Bangladesh, vol.9(1), pp125-130.

16. R. N. Mondal, M. R. Islam, M. S. Uddin and A. K. Datta (2009), “Flow through a Rotating Curved Square Duct: The Case of Positive Rotation”, Int. J. of Thermal Sciences, India, 30.

17. M. Sifuzzaman, M. Rafiqul Islam, Mostafa Z. Ali (2009), “Application of Wavelet Transform and its Advantages Compared to Fourier Transform”, Journal of Physical Sciences, India, Vol 13(1), 121-134.

http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/779 

18. M.M.Islam, S.Afrin, S.M.Kabir and  M. R. Islam (2010), “Haar wavelet representation of continuous and discrete functions”, Bangladesh Journal of Scientific and Industrial Research (BJSIR), vol.2.

19. Rabindra Nath Mondal, Md. Rafiqul Islam and Lasker Ershad Ali, (2010), “Transient Heat and Fluid Flow through a Curved Rectangular Duct”, Proceedings of the 13th Asian Congress of Fluid Mechanics, IUT, Dhaka, Bangladesh, pp. 17-21.

20. R. N. Mondal, M. R. Islam, M. S. Uddin and A. K. Datta (2010) “Flow through a Rotating Curved Square Duct: The Case of Positive Rotation”, Journal of Physical Science;Vol 14

http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/824

21. Md. Rafiqul Islam (2011), “Wavelets, Its Application and Technique in Signal and Image Processing” Global Journal of Computer Science and Technology, USA Vol. (11), Issue (4), Version (1), pp47-58.

22. Farhad Bulbul, M Islam (2011), “Investigation of the Solution of a Fredholm Integral Equation of First Kind with un symmetric Kernel by Using Fourier Series”, International Journal of Science and Technology, Vol. (1), Issue (5).

23. Md. Rafiqul Islam, Farhad Bulbul and Shewli Shamim Santa (2012), “Performance analysis of Coiflet-type wavelets for a fingerprint image compression by using wavelet and wavelet packet transform,” International Journal of Computer science & Engineering Survey (IJCSES), Vol.3, No.2.

24. Mahamudul Hassan Milon and Md. Rafiqul Islam (2013), “Comparison on Wavelet and Wavelet Packet Transformation for an ECG Signal to Detecting an Epileptic Disorder” International Organization of Scientific Research Journals (IOSR-JM)”, Vol.8, Issue (2), pp19-28.

25. Md. Shahadat Hossain and Md. Rafiqul Islam (2014), “Fingerprint matching through minutiae based feature extraction method”, American Journal of Research in Science, Technology, Engineering and Mathematics, 8(1).

26. Md Mizanur Rahman, Md Shakhaoath Khan, Md Rafiqul Islam (2014), “Numerical Investigation on MHD Fluid Flow in the Presence of Chemical Reaction with Soret and Dofour Effects over a Vertical Plate in a Rotating System”, Journal of Applied Physical Science Internationa, Vol.4, Issue(2), pp.77-88.

27. Liton Debnath, and Prof. Md. Rafiqul Islam (2015), “Fingerprint image de-noising by various filters for different noise using wavelet transform,” American Journal of Science and Technology (AJST), 2(6): pp.262-269.

28. A.Biswas, P.biswas, M.K. Das and M. R. Islam (2016), “To determine the best wavelet by the compression of an image using two types of wavelets base on wavelet and wavelet packet ”, Elixir International Journal, App.math. 86, pp.34799-34805.

29. Md. Shahadat Hossain, Ariful Islam and Md. Rafiqul Islam (2015),” Human voice activity Detection using Wavelet”, International Journal of Innovation and Applied Studies, Vol.12(1).

30. L.Devnath, S.K.D. Nath, A.Kr.Das and M. R. Islam (2015),  “Selection of wavelet and thresholding rule for denoising the ECG signals”, APAM, vol.10(1), pp 65-73.

31. Liton Devnath,Arindam kumar paul, Md. Rafiqul Islam (2016), “ A study on binary number of gender identification based on fingerprints”,  Internatioal Journal of Science and Engineering Research, Vol.7, Issue 2.

32. Liton Devnath and Md. Rafiqul Islam (2016), “Off-line Human signature recognition system based on histogram analysis using MATLAB”, Elixir International Journal, Information Technology 94, pp.40429-40433.

33. A.K.Paul, L.devnath and M. R. Islam (2016), “A highly secured Mathematical model for data encryption using fingerprint data”, International Journal of Data Science and Technology (IJDST), 2(4): 46-50.

34. Mitun kumar Mondal,Liton Debnath, Maloti Mozumder and Md. Rafiqul Islam (2016), “Comparison of wavelets for Medical image compression using MATLAB,” International Journal of Innovation and Applied Studies, Vol.18, pp.1023-1031.

35. L Devnath, R Islam(2016), “Fingerprint image de-noising by various filters for different noise using wavelet transform”, American International Journal of Research in Science, Technology, Engineering & Mathematics, 1(13), pp.39-44.

36. Md. Saifuddin Tarafder, Md. Shadat Hossain and Md. Rafiqul Islam (2017), “Human Motion Analysis from Depth Video Sequences Using Multi-scale and Multi-directional Features” British Journal of Applied Science & Technology, 19(6): 1-12.

DOI: 10.9734/BJAST/2017/33326

37. Md. Shahadat Hossain and Md. Rafiqul Islam (2017), “A New Approach of Content Based Image Retrieval Using Color and Texture Features”, British Journal of Applied Science & Technology, 21(3): 1-16.

DOI: 10.9734/BJAST/2017/33326

38. Malati Mazumder, Md.Shahadat Hossain, Md.Asaduzzaman and Md. Rafiqul Islam (2018), “Thresholding techniques for image denoising and their compression by different wavelets,” Current Journal of Applied Science and Technology, 28(6), 1-15, Article no. CJAST.42217.

DOI: https://dx.doi.org/10.9734/cjast

39. Farhad Bulbul, Md. Faishal Badsha, Rafiqul Islam (2018), “Object Detection by Point Feature Matching Using MATLAB,” Advances Image and Video Processing, 5(6).

DOI:10.14738/aivp,66.5619

40. Munmun Mondal and Md. Rafiqul Islam (2019), “Fingerprint Image De-Noising Using Wavelet Transform with the Comparison of Filtered and After Compression Filtered Noise Image” Advanced Science, Engineering and Medicine, 11: 1–9.

DOI: https://doi.org/10.1166/asem.2019.2467

41. Faisal Badsha and Rafiqul Islam (2020), “Emotion Detection by Analyzing Voice Signal Using Wavelet,” American Journal of Computational Mathematics, 10(4):236.

DOI: 10.4236/ajcm.2020.104028

42. Hossain Ali, Sadia Afrin, Redwanul Islam and Md. Rafiqul Islam (2022), “Detection of COVID-19 infected lungs from chest X-ray using wavelet transform, hog features extraction and SVM”, Global Journal of Engineering and Technology Advances, Advances, 13(02): 001–011.

DOI: https:/doi.org/10.30574/gjeta.2022.13.2.0086

43. Shemanta Kumar Biswas, R. Islam, Md. Rafiqul Islam (2022), “Signal Steganography Using Different Wavelets and Their Comparisons”, Advances in Applied Sciences, 7(2): 27-32.

DOI: 10.11648/j.aas.20220702.12

44. Md. Taibur Rahaman, Umma Kulsum Suma, Momotaz Katun, Rajib Biswas and Md. Rafiqul Islam (2022), “Biometric Iris Recognition Based on Daubechies Wavelet Transform”, Asian Journal of Pure and Applied Mathematics, 4(3): 318-328.

DOI: https://globalpressehub.com/index.php/AJPAM/article/view/1629

45. Sadia Afrin, Maria Tasnim and Md. Rafiqul Islam (2023), “Human Face Recognition Using Eigen Vector-Based Recognition System”, International Journal of Research and Scientific Innovation (IJRSI), Vol. X, Issue VI, pp157-160.

DOI: https://doi.org/10.51244/IJRSI.2023.10617

46. Biswas, M. F., Kar, M., Ali, L. E., & Islam, M. R. (2024), “Eigenface and Wavelet Feature-based Face Recognition for the Development of Security System”, Transactions on Engineering and Computing Sciences, 12(1). 01-24.

DOI:10.14738/tecs.121.15825.

 

Complex Analysis

Section A

Complex Number System: Complex number, polar form of complex number, complex plane, point sets. Complex functions: Single and multiple valued functions, branch point, branch lines, Riemann surfaces, limits, continuity and differentiability.

 

Analytic Functions: Derivation of complex functions, Cauchy Riemann equations, Analytic function, Harmonic and conjugate harmonic functions, different singularities, complex operators.

 

Complex Integration: Line Integral, Cauchy’s theorem, Cauchy’s Integral Formula, Liouville’s theorem, Morera’s theorem, Rouche’s theorem, Argument theorem, maximum modulus theorem.

 

Infinite Series: Power series, Taylor’s and Laurent’s series their convergency and find their region of convergency, Zeros of analytic functions, singularities, Branch point, poles etc.

 

Section B

Residues: Definition, Cauchy’s residue theorem, Calculation of residues. Evaluation of complex integrals using residue theorem.

 

Contour Integration: Evaluation of complex integrals using contour integration.

 

Conformal Mapping: General transformations, Linear and bi-linear transformations and their properties, Cross ratio, fixed and invariant points.

 

Physical Applications: Application of Conformal mappings, Solution of differential equations by contour integration.

 

Running

Artificial Intelligence

Section A

 Introduction: Definition of AI, Historical Development of AI, Applications of

AI, AI Techniques. Problems Representation: State-Space Representation, Problem-Reduction

Representation. Logic and Structural Knowledge Representation: Prepositional Logic,

First-Order Logic, Resolution Principle, Petri Nets, Relational Data Model.  Search: Blind and Non-Blind Searches, Depth-First Search, Breadth-First

Search, Heuristic Search, Best-First Search, Optimal Search, A* search,

Implementation Complexity, Constraint Satisfaction Problems.

Section B 

Reasoning under Uncertainty: Probability Theory, Bayesian Reasoning,

Fuzzy Knowledge, Fuzzy Set Theory, Expert Systems. Decision Making: Decision theory, Sequential decision problems, Game playing. Machine Learning and Language Processing: Naive Bayes Algorithm, Syntactic Semantics and Pragmatic, Top-Down parsing, Bottom-Up Parsing,

Lexicon. Neural Networks and Genetic Algorithms: Introduction to Neural net and

Backpropagation, Introduction to Genetics Algorithms and examples.

Running

Wavelet Analysis

Overview: From Fourier analysis to wavelet analysis

 

Signals and Systems: signals, systems and their classifications and properties

 

Transformation: Fourier transform and it’s their properties, Windowed Fourier transform

 

Time-frequency Analysis: Window function, Filter and Filter bank

 

Section B

Wavelet Representation: wavelet representation of functions, Discrete and continuous wavelet transform, Different types of wavelets, Dilation equation for scaling functions and wavelet functions.

 

Multiresolution Analysis: Multiresolution, Wavelet decomposition algorithm, Wavelet decomposition relations of a function/signal.

 

Wavelet Decomposition: wavelet decomposition algorithm, Wavelet decomposition relations of a function/signal.

 

Applications of Wavelet Transformation: Convergence of wavelet expansions, Wavelet Frames, Wavelet packets, Applications of wavelets in different field.

 

Running

Industrial Mathematics

                             Section A

Statistical Reasoning: Random variables, Uniform distributions, Gaussian distributions, The binomial distribution, The Poisson distribution, Taguchi quality control Data Acquisition and Manipulation: Linear recursions, Filters, Stability, Polar and Bode plots, Aliasing, The Discrete Fourier Transform: Real time processing, Properties of DFT, Filter design, The Fast Fourier transform, Image processing Regression Analysis: Best fit of discrete data, different error norm, norm on Rn Hilbert space, Grams theorem on regression. Cost–Benefit Analysis: Present value and future value calculation, Life-cycle savings

                            Section B 

 Microeconomics: Supply and demand function, Revenue, Cost and profit, Elasticity of demand, profit maximization, Duopolistic competition, Theory of production, Ordinary and Partial Differential Equations: Separation of variables, Mechanics, Linear and non-linear ODEs System, Lumped versus distributed, the big six PDEs, Separation of variables, Unbounded spatial domains, Periodic steady state, other distributed models, Frequency Domain Method: The frequency domain, generalized signals, Plants in cascade, Surge impedance, Stability, Filters, Feedback and root-locus, Nyquist analysis, 

Running

Fundamental of Mathematics

Concepts on Algebra: Set, Functions, Graphical representation of standard functions in cartesian and polar co-ordinates, Algebraic expressions and equations, Binomial expansion, Permutation and Combination.

 

Visual Representation of Numbers: Number systems, Number in Real line, Addition and Subtraction of numbers using Real line.  

 

Trigonometry: Trigonometric ratios, Trigonometric ratios of associated angles.  

 

Exponential and Logarithmic and their inverse Functions: Laws of exponents, Explanation of roots, Formulas of logarithm, Graph of exponential and logarithmic functions.

 

Section B

Euclidean Geometry: Fundamentals of plane geometry involving straight lines and circles.

 

Co-ordinates Geometry: Co-ordinates, Straight lines, Circles.

 

Mensuration: Area, Perimeter, Volume and Surface Area.

 

Running
  • Complex Analysis
  • Artificial Intelligence
  • Wavelet Analysis
  • Industrial Mathematics
  • Fundamental of Mathematics